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Центр Клеточной и Молекулярной стоматологии «Бионик Дентис» единственный официальный авторизованный центр дентальной имплантации французского имплантологического концентра «BIOTECH» на территории РФ. Все оборудование и доктора имеют европейский сертификат.Клиника представляет все известные европейские методики лечения и протезирования зубов на имплантах и все остеопластические методики с использованием искусственной и естественной костной ткани, а также клеточных комплексов, тромбоцитарной массы и биорезорбируемых мембран.Центр специализируется на имплантации, синуслифтингах, протезировании на имплантах, сложных удалениях зубов(зубы мудрости, непрорезавшиеся зубы, зачатки зубов при ортодонтическом лечении) с последующей остеопластикой. Клиника обладает широкой базой для приема пациентов с осложнениями установки имплантов.Специалисты клиники имеют большой опыт в протезировании (том числе сложном, на цирконии и алюминии) а также всеми видами съемных конструкций.Диагностический кабинет оснащен современным цифровым ортопантомографом, интрооральными камерами и радиовизиографической установкой последного поколения.

ОТЗЫВЫ: СТОМАТОЛОГИЯ БИОНИК ДЕНТИС М. КУЗЬМИНКИ
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El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
http://rus-porno.org/categories/russian/
http://rus-porno.org/categories/russian/
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
El juego permite diseñar, construir y pilotar vehículos, como cohetes espaciales y aviones a partir de módulos prefabricados, también conocidos como partes. Estas partes incluyen los motores, tanques de combustible y las alas. Incluso hay piezas para la construcción de vehículos con ruedas, como astromóviles o rovers. El videojuego tiene una base de modificadores muy amplia, en la que los jugadores pueden crear sus propias piezas y publicarlas. Se puede incluso modificar el sistema solar, para añadir más planetas. En el juego existe un sistema planetario completo con los siguientes astros: Kerbol, es la estrella de este sistema. Moho, similar a Mercurio. Eve, se encuentra en la 2ª posición frente a Kerbol, se asemeja a Venus. Posee pequeños lagos, una atmósfera muy densa de color morado y tierra del mismo color. Es el más grande de los rocosos de este sistema. Posee una luna: Gilly, un pequeño asteroide capturado, el astro más pequeño del sistema. Kerbin, sería el equivalente a la Tierra. Lo habitan los Kerbals que son los que el jugador utilizará para lanzar cohetes y naves espaciales. Posee dos lunas: Mün y Minmus, la primera similar a la Luna y la segunda de hielo con grandes lagos congelados. Cinturón de asteroides, pues es eso, un cinturón de asteroides, en donde solo aparecen los asteroides cercanos a Kerbin. Duna, vendría a ser el equivalente a Marte en la realidad. Posee una luna: Ike, otro asteroide. Dres,es uno de los planetas enanos del juego, semejante a Ceres. Jool, planeta gaseoso que se asemeja a Júpiter. De color verde y de una atmósfera muy densa. Es muy conocido entre los jugadores por tener 5 lunas, entre ellas una habitable llamada Laythe. Eeloo, es el planeta enano más pequeño del juego, se asemeja parcialmente a Plutón, aunque parte de sus características están inventadas. Está totalmente helado, con una superficie relativamente suave y algunos cañones profundos.
Здравствуйте,это что то с чем то(Лечили кисту долго и дорого,доктор порекомендовал лазер,в итоге зуб пришлось удалить,одномоментно делали пломбу,которая в скором времени вывалилась,сказали по моей вине.Не ведитесь на лестные отзывы,пишут сами себе. Мария.С.
В общем ,наконец то- после долгого процесса изучения методов ,клиник и их оборудования выбрала место для чистки зубов .Взяла комплексную (#ультразвук+#airflow+#лазер).Вообще самая безопасная -лазером ,но у нас в стране такой метод не практикуют,может где то в Америках?)А все рекламные #объявления ,что в нашей клинике дабы есть -#вранье.Обзвонила порядка 20 ти Московских и Московского областных зубных клиник ,изучила детально #методы и аппаратуру,(практически приобрела профессию консультанта в зубной клинике)Выбрала наименее травматичный метод и щадящие аппараты(#меньшееиззол), потому как как #чистказубов хорошо,и не чистка -опасно(#камни повреждают и #зубы и #десна),но и чистки бывают травмируют и в зубах микротрещины появляются .Что скажу уже после процедуры: не из приятных ,но не так больно ,как когда то делала ультразвуком .Доктор (Овсяник А В)хоть и отзывов о нем не нашла ни одного(невничала по этому поводу)обходителен ,интелегентен и аккуратен.Правда конечно же выдал бумагу со списком лекарств рекомендаций по пастам и тд и их там #дофига.Ну это наверное, как обычно часть его заработка ,покупать не побегу,лучше уж к гомеопату (а то как вылечила одну серьёзную болячку- подзабила ((( Такие дела !Если что никого не рекламирую, но кому надо и не готов потратить недели на поиск инфы и в Москве .Клиника #bionicdentic (могла не правильно написать ,#гугл в помощь) #вКузьминках .И да #ценник не из дешёвых...Более детальные подробности на live youtube канале rezeda live https://www.youtube.com/watch?v=Tm-c3RPhk7k
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
In mathematics, the logarithm is the inverse operation to exponentiation. That means the logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In simple cases the logarithm counts repeated multiplication. For example, the base 10 logarithm of 1000 is 3, as 10 to the power 3 is 1000 (1000 = 10 × 10 × 10 = 103); the multiplication is repeated three times. More generally, exponentiation allows any positive real number to be raised to any real power, always producing a positive result, so the logarithm can be calculated for any two positive real numbers b and x where b is not equal to 1. The logarithm of x to base b, denoted logb(x), is the unique real number y such thaby = x. For example, as 64 = 26, we havelog2(64) = 6The logarithm to base 10 (that is b = 10) is called the common logarithm and has many applications in science and engineering. The natural logarithm has the number e (≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators, scientists, engineers, and others to perform computations more easily, using slide rules and logarithm tables. Tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition because of the fact — important in its own right — that the logarithm of a product is the sum of the logarithms of the factors \log_b(xy) = \log_b (x) + \log_b (y), \, provided that b, x and y are all positive and b ≠ 1. The present-day notion of logarithms comes from Leonhard Euler, who connected them to the exponential function in the 18th century. Logarithmic scales reduce wide-ranging quantities to tiny scopes. For example, the decibel is a unit quantifying signal power log-ratios and amplitude log-ratios (of which sound pressure is a common example). In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They describe musical intervals, appear in formulas counting prime numbers, inform some models in psychophysics, and can aid in forensic accounting. In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 http://www.24xxx.net/video/szhala-ego-bolt-37235.html and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13] http://www.24xxx.net/video/szhala-ego-bolt-37235.html
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
Seattle (Listeni/siˈætəl/) is a West Coast seaport city and the seat of King County. With an estimated 662,400 residents as of 2015,[2] Seattle is the largest city in both the state of Washington and the Pacific Northwest region of North America. As of July 2013 it was the fastest-growing major city in the United States,[6] and remained in the top five in May 2015 with an annual growth rate of 2.1%.[7] The Seattle metropolitan area of around 3.6 million inhabitants is the 15th largest metropolitan area in the United States.[8] The city is situated on a narrow isthmus between Puget Sound (an inlet of the Pacific Ocean) and Lake Washington, about 100 miles (160 km) south of the Canada–United States border. A major gateway for trade with Asia, Seattle is the 8th largest port in the United States and 9th largest in North America in terms of container handling.[9] The Seattle area was previously inhabited by Native Americans for at least 4,000 years before the first permanent European settlers.[10] Arthur A. Denny and his group of travelers, subsequently known as the Denny Party, arrived from Illinois via Portland, Oregon on the schooner Exact at Alki Point on November 13, 1851.[11] The settlement was moved to the eastern shore of Elliott Bay and named "Seattle" in 1852, after Chief Si'ahl of the local Duwamish and Suquamish tribes. Logging was Seattle's first major industry, but by the late 19th century the city had become a commercial and shipbuilding center as a gateway to Alaska during the Klondike Gold Rush. By 1910, Seattle was one of the 25 largest cities in the country.[12] However, the Great Depression severely damaged the city's economy. Growth returned during and after World War II, due partially to the local Boeing company, which established Seattle as a center for aircraft manufacturing. The Seattle area developed as a technology center beginning in the 1980s, with companies like Microsoft becoming established in the region. In 1994 the Internet retail giant Amazon was founded in Seattle. The stream of new software, biotechnology, and Internet companies led to an economic revival, which increased the city's population by almost 50,000 between 1990 and 2000. Seattle has a noteworthy musical history. From 1918 to 1951, there were nearly two dozen jazz nightclubs along Jackson Street, from the current Chinatown/International District, to the Central District. The jazz scene developed the early careers of Ray Charles, Quincy Jones, Ernestine Anderson and others. Seattle is also the birthplace of rock musician Jimi Hendrix and the alternative rock style grunge.[13]
Elizabeth II (Elizabeth Alexandra Mary; born 21 April 1926[a]) is, and has been from her accession in 1952, Queen of the United Kingdom, Canada, Australia, and New Zealand, and Head of the Commonwealth. She is also Queen of 12 countries that have become independent since her accession: Jamaica, Barbados, the Bahamas, Grenada, Papua New Guinea, Solomon Islands, Tuvalu, Saint Lucia, Saint Vincent and the Grenadines, Belize, Antigua and Barbuda, and Saint Kitts and Nevis.[b] Elizabeth was born in London as the elder daughter of the Duke and Duchess of York, later King George VI and Queen Elizabeth, and educated privately at home. Her father acceded to the throne on the abdication of his brother Edward VIII in 1936, from which time she was the heir presumptive. She began to undertake public duties during the Second World War, in which she served in the Auxiliary Territorial Service. In 1947, she married Philip, Duke of Edinburgh, with whom she has four children: Charles, Anne, Andrew, and Edward. Elizabeth's many historic visits and meetings include a state visit to the Republic of Ireland and reciprocal visits to and from the Pope. She has seen major constitutional changes, such as devolution in the United Kingdom, Canadian patriation, and the decolonisation of Africa. She has also reigned through various wars and conflicts involving many of her realms. She is the world's oldest reigning monarch as well as Britain's longest-lived. In 2015, she surpassed the reign of her great-great-grandmother, Victoria, and became the longest-reigning British head of state and the longest-reigning queen regnant in history. Times of personal significance have included the births and marriages of her children and grandchildren, her coronation in 1953, and the celebration of milestones such as her Silver, Golden, and Diamond Jubilees in 1977, 2002, and 2012, respectively. Moments of sorrow for her include the death of her father, aged 56; the assassination of Prince Philip's uncle, Lord Mountbatten; the breakdown of her children's marriages in 1992 (her annus horribilis); the death in 1997 of her son's former wife, Diana, Princess of Wales; and the deaths of her mother and sister in 2002. Elizabeth has occasionally faced republican sentiments and severe press criticism of the royal family, but support for the monarchy and her personal popularity remain high.
Australia (/ɒˈstreɪliə/, /ə-/, colloquially /-jə/),[10][11] officially the Commonwealth of Australia,[12] is an Oceanian country comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands. It is the world's sixth-largest country by total area. Neighbouring countries include Papua New Guinea, Indonesia and East Timor to the north; the Solomon Islands and Vanuatu to the north-east; and New Zealand to the south-east. For at least 40,000 years[13] before the first British settlement in the late 18th century,[14][15] Australia was inhabited by indigenous Australians,[16] who spoke languages grouped into roughly 250 language groups.[17][18] After the European discovery of the continent by Dutch explorers in 1606, Australia's eastern half was claimed by Great Britain in 1770 and initially settled through penal transportation to the colony of New South Wales from 26 January 1788. The population grew steadily in subsequent decades; the continent was explored and an additional five self-governing crown colonies were established. On 1 January 1901, the six colonies federated, forming the Commonwealth of Australia. Since federation, Australia has maintained a stable liberal democratic political system that functions as a federal parliamentary democracy and constitutional monarchy comprising six states and several territories. The population of 23.6 million[5] is highly urbanised and heavily concentrated in the eastern states and on the coast.[19] Australia is a developed country and one of the wealthiest in the world, with the world's 12th-largest economy. In 2014 Australia had the world's fifth-highest per capita income.[20] Australia's military expenditure is the world's 13th-largest. With the second-highest human development index globally, Australia ranks highly in many international comparisons of national performance, such as quality of life, health, education, economic freedom, and the protection of civil liberties and political rights.[21] Australia is a member of the United Nations, G20, Commonwealth of Nations, ANZUS, Organisation for Economic Co-operation and Development (OECD), World Trade Organization, Asia-Pacific Economic Cooperation, and the Pacific Islands Forum.
The Sega Genesis, known as the Mega Drive (Japanese: メガドライブ Hepburn: Mega Doraibu?) in most regions outside North America, is a 16-bit home video game console which was developed and sold by Sega Enterprises, Ltd. The Genesis was Sega's third console and the successor to the Master System. Sega first released the console as the Mega Drive in Japan in 1988, followed by a North American debut under the Genesis moniker in 1989. In 1990, the console was distributed as the Mega Drive by Virgin Mastertronic in Europe, by Ozisoft in Australasia, and by Tec Toy in Brazil. In South Korea, the systems were distributed by Samsung and were known as the Super Gam*Boy (Hangul: 수퍼겜보이), and later the Super Aladdin Boy (Hangul: 수퍼알라딘보이). Designed by an R&D team supervised by Hideki Sato and Masami Ishikawa, the Genesis hardware was adapted from Sega's System 16 arcade board, centered on a Motorola 68000 processor as a primary CPU and a Zilog Z80 as a secondary processor. The system supports a library of more than 900 games created both by Sega and a wide array of third-party publishers and delivered on ROM-based cartridges. It can also play Master System games when the separately sold Power Base Converter is installed. The Genesis has benefited from several peripherals and network services, as well as multiple first-party and third-party variations of the console that focus on extending its functionality. In Japan, the Mega Drive did not fare well against its two main competitors, Nintendo's Super Famicom and NEC's PC Engine. However, it achieved considerable success in North America, Brazil, and Europe. Contributing to its success were its library of arcade game ports, the popularity of the Genesis-exclusive Sonic the Hedgehog series, several popular sports game franchises, and aggressive youth marketing that positioned the system as the cool console for adolescents. The release of the Super Nintendo Entertainment System two years after the Genesis resulted in a fierce battle for market share in the United States and Europe that has often been termed as a "console war" by journalists and historians.[4][5] As this contest drew increasing attention to the video game industry among the general public, the Genesis and several of its highest-profile games attracted significant legal scrutiny on matters involving reverse engineering and video game violence. Controversy surrounding violent titles such as Night Trap and Mortal Kombat led Sega to create the Videogame Rating Council, a predecessor to the Entertainment Software Rating Board.
Gothenburg (Swedish: Göteborg, pronounced [jœtəˈbɔrj] ( listen)) is the second-largest city in Sweden and the fifth-largest in the Nordic countries. Situated by the Kattegat, on the west coast of Sweden, the city proper has a population of 543,005, with 549,839 in the urban area and 973,261 inhabitants in the metropolitan area.[1] Gothenburg is classified as a global city by GaWC, with a ranking of Gamma−.[3] The city has been ranked as the 12th-most inventive city in the world by Forbes.[4] Gothenburg was founded by royal charter in 1621 by King Gustavus Adolphus. At the mouth of the Göta älv, the Port of Gothenburg is the largest port in the Nordic countries.[5] Gothenburg is home to many students, as the city includes both the University of Gothenburg and Chalmers University of Technology. Volvo was founded in Gothenburg in 1927.[6] The city is a major center for sports and home to the IFK Göteborg, BK Häcken, GAIS, and Örgryte IS association football teams, the team handball team Redbergslids IK, as well as the Frölunda HC ice hockey team. Gothenburg is served by Göteborg Landvetter Airport, located 30 km (18.64 mi) southeast of the city center. The smaller Göteborg City Airport, located 15 km (9.32 mi) from the city center, was closed to regular airline traffic in 2015. The city hosts some of the largest annual events in Scandinavia. The Gothenburg Film Festival, held in January since 1979, is the leading Scandinavian film festival with over 155,000 visitors each year.[7] In summer, a wide variety of music festivals are held in the city, such as Way Out West and Metaltown. The annual Gothia Cup, is the world's largest football tournament with regards to the number of participants: in 2011, a total of 35,200 players from 1,567 teams and 72 nations participated.
The McDonnell Douglas F-4 Phantom II[N 1] is a tandem two-seat, twin-engine, all-weather, long-range supersonic jet interceptor aircraft/fighter-bomber originally developed for the United States Navy by McDonnell Aircraft.[1] It first entered service in 1960 with the U.S. Navy. Proving highly adaptable, it was also adopted by the U.S. Marine Corps and the U.S. Air Force, and by the mid-1960s had become a major part of their respective air wings.[2] The Phantom is a large fighter with a top speed of over Mach 2.2. It can carry more than 18,000 pounds (8,400 kg) of weapons on nine external hardpoints, including air-to-air missiles, air-to-ground missiles, and various bombs. The F-4, like other interceptors of its time, was designed without an internal cannon. Later models incorporated an M61 Vulcan rotary cannon. Beginning in 1959, it set 15 world records for in-flight performance,[3] including an absolute speed record, and an absolute altitude record.[4] During the Vietnam War, the F-4 was used extensively; it served as the principal air superiority fighter for both the Navy and Air Force, and became important in the ground-attack and aerial reconnaissance roles late in the war. The Phantom has the distinction of being the last U.S. fighter flown to attain ace status in the 20th century. During the Vietnam War, the U.S. Air Force had one pilot and two weapon systems officers (WSOs),[5] and the US Navy had one pilot and one radar intercept officer (RIO) become aces by achieving five aerial kills against enemy fighter aircraft.[6] The F-4 continued to form a major part of U.S. military air power throughout the 1970s and 1980s, bein
Frédéric François Chopin (/ˈʃoʊpæn/; French pronunciation: ​[fʁe.de.ʁik fʁɑ̃.swa ʃɔ.pɛ̃]; 22 February or 1 March 1810 – 17 October 1849), born Fryderyk Franciszek Chopin,[n 1] was a Polish composer and a virtuoso pianist of the Romantic era, who wrote primarily for the solo piano. He gained and has maintained renown worldwide as one of the leading musicians of his era, whose "poetic genius was based on a professional technique that was without equal in his generation."[1] Chopin was born in what was then the Duchy of Warsaw, and grew up in Warsaw, which after 1815 became part of Congress Poland. A child prodigy, he completed his musical education and composed his earlier works in Warsaw before leaving Poland at the age of 20, less than a month before the outbreak of the November 1830 Uprising. At the age of 21 he settled in Paris. Thereafter, during the last 18 years of his life, he gave only some 30 public performances, preferring the more intimate atmosphere of the salon. He supported himself by selling his compositions and teaching piano, for which he was in high demand. Chopin formed a friendship with Franz Liszt and was admired by many of his musical contemporaries, including Robert Schumann. In 1835 he obtained French citizenship. After a failed engagement to Maria Wodzińska, from 1837 to 1847 he maintained an often troubled relationship with the French writer George Sand. A brief and unhappy visit to Majorca with Sand in 1838–39 was one of his most productive periods of composition. In his last years, he was financially supported by his admirer Jane Stirling, who also arranged for him to visit Scotland in 1848. Through most of his life, Chopin suffered from poor health. He died in Paris in 1849, probably of tuberculosis.
Deoxyribonucleic acid (Listeni/diˌɒksiˌraɪbɵ.njuːˌkleɪ.ɨk ˈæsɪd/; DNA) is a molecule that carries most of the genetic instructions used in the development, functioning and reproduction of all known living organisms and many viruses. DNA is a nucleic acid; alongside proteins and carbohydrates, nucleic acids compose the three major macromolecules essential for all known forms of life. Most DNA molecules consist of two biopolymer strands coiled around each other to form a double helix. The two DNA strands are known as polynucleotides since they are composed of simpler units called nucleotides.[1] Each nucleotide is composed of a nitrogen-containing nucleobase—either cytosine (C), guanine (G), adenine (A), or thymine (T)—as well as a monosaccharide sugar called deoxyribose and a phosphate group. The nucleotides are joined to one another in a chain by covalent bonds between the sugar of one nucleotide and the phosphate of the next, resulting in an alternating sugar-phosphate backbone. According to base pairing rules (A with T, and C with G), hydrogen bonds bind the nitrogenous bases of the two separate polynucleotide strands to make double-stranded DNA. The total amount of related DNA base pairs on Earth is estimated at 5.0 x 1037, and weighs 50 billion tonnes.[2] In comparison, the total mass of the biosphere has been estimated to be as much as 4 TtC (trillion tons of carbon).[3] DNA stores biological information. The DNA backbone is resistant to cleavage, and both strands of the double-stranded structure store the same biological information. Biological information is replicated as the two strands are separated. A significant portion of DNA (more than 98% for humans) is non-coding, meaning that these sections do not serve as patterns for protein sequences.
Association football, more commonly known as football or soccer,[3] is a sport played between two teams of eleven players with a spherical ball. It is played by 250 million players in over 150 countries, making it the world's most popular sport.[4][5][6][7] The game is played on a rectangular field with a goal at each end. The object of the game is to score by getting the ball into the opposing goal. The goalkeepers are the only players allowed to touch the ball with their hands or arms while it is in play and only in their penalty area. Outfield players mostly use their feet to strike or pass the ball, but may also use their head or torso to do so instead. The team that scores the most goals by the end of the match wins. If the score is level at the end of the game, either a draw is declared or the game goes into extra time and/or a penalty shootout depending on the format of the competition. The Laws of the Game were originally codified in England by The Football Association in 1863. Association football is governed internationally by the International Federation of Association Football (FIFA; French: Fédération Internationale de Football Association), which organises World Cups for both men and women every four years.[8]
Super Smash Bros. Brawl, known in Japan as Dairantō Smash Brothers X (大乱闘だいらんとうスマッシュブラザーズXエックス?, lit. "Great Melee Smash Brothers X"), is the third installment in the Super Smash Bros. series of crossover fighting games, developed by an ad hoc development team consisting of Sora, Game Arts, and staff from other developers, and published by Nintendo for the Wii video game console.[2] Brawl was announced at a pre-E3 2005 press conference by Nintendo president and Chief Executive Officer Satoru Iwata.[3] Masahiro Sakurai, director of the previous two games in the series, assumed the role of director for the third installment at the request of Iwata.[4] Game development began in October 2005[5] with a creative team that included members from several Nintendo and third-party development teams. After delays due to development problems, the game was finally released on January 31, 2008, in Japan; March 9, 2008, in North America;[6] June 26, 2008, in Australia; and June 27, 2008, in Europe. Twenty-seven months after its original Japanese release, the game was released in Korea, on April 29, 2010.[1] The number of playable characters in Brawl has grown from that in Super Smash Bros. Melee, although a few character from Melee were cut in Brawl. Brawl is the first game in the series to have playable third-party characters.[7] Like that of its predecessors, the object of Brawl is to knock an opponent off the screen. It is a departure from traditional fighting games, notably in its simplified move commands and emphasis on ring outs over knockouts. It includes a more extensive single-player mode than its predecessors, known as the Subspace Emissary (SSE). This mode is a plot-driven, side-scrolling beat 'em up featuring computer-generated cut scenes and a selection of playable characters. Brawl also supports multiplayer battles with up to four combatants, and is the first game of its franchise to feature online battles via Nintendo Wi-Fi Connection.[8] The game is unique, in that it may be played with four different controllers, including the Wii Remote, Wii Remote with Nunchuk, GameCube controller, and Classic Controller, simultaneously.[9][10]
Asperger syndrome (AS), also known as Asperger's syndrome, Asperger disorder (AD) or simply Asperger's, is an autism spectrum disorder (ASD) that is characterized by significant difficulties in social interaction and nonverbal communication, alongside restricted and repetitive patterns of behavior and interests. It differs from other autism spectrum disorders by its relative preservation of linguistic and cognitive development. Although not required for diagnosis, physical clumsiness and atypical (peculiar or odd) use of language are frequently reported.[1][2] The diagnosis of Asperger's was eliminated in the 2013 fifth edition of the Diagnostic and Statistical Manual of Mental Disorders (DSM-5) and replaced by a diagnosis of autism spectrum disorder on a severity scale.[3] The syndrome is named after the Austrian pediatrician Hans Asperger who, in 1944, studied and described children in his practice who lacked nonverbal communication skills, demonstrated limited empathy with their peers, and were physically clumsy.[4] The modern conception of Asperger syndrome came into existence in 1981[5] and went through a period of popularization,[6][7] becoming standardized as a diagnosis in the early 1990s. Many questions and controversies remain about aspects of the disorder.[8] There is doubt about whether it is distinct from high-functioning autism (HFA);[9] partly because of this, its prevalence is not firmly established.[1] The exact cause of Asperger's is unknown. Although research suggests the likelihood of a genetic basis,[1] there is no known genetic cause,[10][11] and brain imaging techniques have not identified a clear common pathology.[1] There is no single treatment, and the effectiveness of particular interventions is supported by only limited data.[1] Intervention is aimed at improving symptoms and function. The mainstay of management is behavioral therapy, focusing on specific deficits to address poor communication skills, obsessive or repetitive routines, and physical clumsiness.[12] Most children improve as they mature to adulthood, but social and communication difficulties may persist.[8] Some researchers and people with Asperger's have advocated a shift in attitudes toward the view that it is a difference, rather than a disease that must be treated or cured.[13][14] Globally Asperger's is estimated to affect 31 million people as of 2013.[15]
Barack Hussein Obama II (US Listeni/bəˈrɑːk huːˈseɪn ɵˈbɑːmə/; born August 4, 1961) is the 44th and current President of the United States, as well as the first African American to hold the office. Born in Honolulu, Hawaii, Obama is a graduate of Columbia University and Harvard Law School, where he served as president of the Harvard Law Review. He was a community organizer in Chicago before earning his law degree. He worked as a civil rights attorney and taught constitutional law at University of Chicago Law School between 1992 and 2004. He served three terms representing the 13th District in the Illinois Senate from 1997 to 2004, running unsuccessfully for the United States House of Representatives in 2000 against Bobby Rush. In 2004, Obama received national attention during his campaign to represent Illinois in the United States Senate with his victory in the March Democratic Party primary, his keynote address at the Democratic National Convention in July, and his election to the Senate in November. He began his presidential campaign in 2007 and, after a close primary campaign against Hillary Rodham Clinton in 2008, he won sufficient delegates in the Democratic Party primaries to receive the presidential nomination. He then defeated Republican nominee John McCain in the general election, and was inaugurated as president on January 20, 2009. Nine months after his inauguration, Obama was named the 2009 Nobel Peace Prize laureate.
The immune system is a system of many biological structures and processes within an organism that protects against disease. To function properly, an immune system must detect a wide variety of agents, known as pathogens, from viruses to parasitic worms, and distinguish them from the organism's own healthy tissue. In many species, the immune system can be classified into subsystems, such as the innate immune system versus the adaptive immune system, or humoral immunity versus cell-mediated immunity. Pathogens can rapidly evolve and adapt, and thereby avoid detection and neutralization by the immune system; however, multiple defense mechanisms have also evolved to recognize and neutralize pathogens. Even simple unicellular organisms such as bacteria possess a rudimentary immune system, in the form of enzymes that protect against bacteriophage infections. Other basic immune mechanisms evolved in ancient eukaryotes and remain in their modern descendants, such as plants and insects. These mechanisms include phagocytosis, antimicrobial peptides called defensins, and the complement system. Jawed vertebrates, including humans, have even more sophisticated defense mechanisms,[1] including the ability to adapt over time to recognize specific pathogens more efficiently. Adaptive (or acquired) immunity creates immunological memory after an initial response to a specific pathogen, leading to an enhanced response to subsequent encounters with that same pathogen. This process of acquired immunity is the basis of vaccination. Disorders of the immune system can result in autoimmune diseases, inflammatory diseases and cancer.[2] Immunodeficiency occurs when the immune system is less active than normal, resulting in recurring and life-threatening infections. In humans, immunodeficiency can either be the result of a genetic disease such as severe combined immunodeficiency, acquired conditions such as HIV/AIDS, or the use of immunosuppressive medication. In contrast, autoimmunity results from a hyperactive immune system attacking normal tissues as if they were foreign organisms. Common autoimmune diseases include Hashimoto's thyroiditis, rheumatoid arthritis, diabetes mellitus type 1, and systemic lupus erythematosus. Immunology covers the study of all aspects of the immune system.
The University of Michigan (U-M, UM, UMich, or U of M), frequently referred to simply as Michigan, is a public research university located in Ann Arbor, Michigan, United States. Originally, founded in 1817 in Detroit as the Catholepistemiad, or University of Michigania, 20 years before the Michigan Territory officially became a state, the University of Michigan is the state's oldest university. The university moved to Ann Arbor in 1837 onto 40 acres (16 ha) of what is now known as Central Campus. Since its establishment in Ann Arbor, the university campus has expanded to include more than 584 major buildings with a combined area of more than 34 million gross square feet (781 acres or 3.16 km²), and has two satellite campuses located in Flint and Dearborn. The University was one of the founding members of the Association of American Universities. Considered one of the foremost research universities in the United States,[7] the university has very high research activity and its comprehensive graduate program offers doctoral degrees in the humanities, social sciences, and STEM fields (Science, Technology, Engineering and Mathematics) as well as professional degrees in architecture, business, medicine, law, pharmacy, nursing, social work and dentistry. Michigan's body of living alumni (as of 2012) comprises more than 500,000. Besides academic life, Michigan's athletic teams compete in Division I of the NCAA and are collectively known as the Wolverines. They are members of the Big Ten Conference.
Jesus (/ˈdʒiːzəs/; Greek: Ἰησοῦς Iesous; 7–2 BC to AD 30–33), also referred to as Jesus of Nazareth or Jesus Christ,[e] is the central figure of Christianity, whom the teachings of most Christian denominations hold to be the Son of God. Christianity regards Jesus as the awaited Messiah (or Christ) of the Old Testament.[12] Virtually all modern scholars of antiquity agree that Jesus existed historically,[f] and historians consider the Synoptic Gospels (Matthew, Mark and Luke) to be the best sources for investigating the historical Jesus.[19][20][21][22] Most scholars agree that Jesus was a Galilean, Jewish rabbi[23] who preached his message orally,[24] was baptized by John the Baptist, and was crucified by the order of the Roman Prefect Pontius Pilate.[25] In the current mainstream view, Jesus was an apocalyptic preacher and the founder of a restoration movement within Judaism, although some prominent scholars argue that he was not apocalyptic.[20][26] After Jesus' death, his followers believed he was resurrected, and the community they formed eventually became the Christian church.[27] The widely accepted calendar era, abbreviated as "AD" or sometimes as "CE", is based on the birth of Jesus. Christians believe that Jesus has a "unique significance" in the world.[28] Christian doctrines include the beliefs that Jesus was conceived by the Holy Spirit, was born of a virgin named Mary, performed miracles, founded the Church, died by crucifixion as a sacrifice to achieve atonement, rose from the dead, and ascended into Heaven, whence he will return.[29] Most Christians believe Jesus enables humans to be reconciled to God, and will judge the dead either before or after their bodily resurrection,[30][31][32][33] an event tied to the Second Coming of Jesus in Christian eschatology;[34] though some believe Jesus's role as savior has more existential or societal concerns than the afterlife,[35] and a few notable theologians have suggested that Jesus will bring about a universal reconciliation.[36] The great majority of Christians worship Jesus as the incarnation of God the Son, the second of three persons of a Divine Trinity. A few Christian groups reject Trinitarianism, wholly or partly, as non-scriptural.
The Legend of Zelda: Ocarina of Time (Japanese: ゼルダの伝説 時のオカリナ Hepburn: Zeruda no Densetsu: Toki no Okarina?) is a 1998 action-adventure video game developed by Nintendo's Entertainment Analysis & Development division for the Nintendo 64 home video game console. It was released in Japan and North America in November 1998, and in Europe and Australia in December 1998. Originally developed for the 64DD peripheral,[11] the game was instead released on a 256-megabit (32-megabyte) cartridge, the largest-capacity cartridge Nintendo produced at that time. Ocarina of Time is the fifth game in the The Legend of Zelda series, and the first with 3D graphics. It was followed 18 months later by the direct sequel, The Legend of Zelda: Majora's Mask. The player controls the series' hero, Link, in the land of Hyrule. Link sets out on a quest to stop Ganondorf, King of the Gerudo tribe, from obtaining the Triforce, a sacred relic that grants the wishes of its holder. He travels through time and navigates various dungeons to awaken the sages, who have the power to seal Ganondorf away forever. Music plays an important role; to progress, the player must learn to play several songs on an ocarina. The game was responsible for increased interest in and rise in sales of the instrument.[12] Released to universal critical acclaim, Ocarina of Time‍ '​s gameplay introduced features such as a target-lock system and context-sensitive buttons that have since become common in 3D adventure games.[13][14] In Japan, more than 820,000 copies were sold in 1998, making it the tenth best-selling game of that year.[15] During its lifetime, 1.14 million copies of Ocarina of Time were sold in Japan,[16] and over 7.6 million copies were sold worldwide.[17] The game won the Grand Prize in the Interactive Art division at the Japan Media Arts Festival,[18] and won six honors at the 2nd Annual Interactive Achievement Awards.[19] As of 2015, it is the highest-rated game on review-aggregating site Metacritic, with a score of 99/100; in 2008 and 2010, Guinness World Records listed Ocarina of Time as the highest-rated game ever reviewed.[20] It is now considered by many critics and gamers to be the greatest video game of all time.[a]
RuneScape is a fantasy massively multiplayer online role-playing game (MMORPG) released in January 2001 by Andrew and Paul Gower, and developed and published by Jagex Games Studio. It is a graphical browser game implemented on the client-side in Java or HTML5, and incorporates 3D rendering. The game has had over 200 million accounts created and is recognised by the Guinness World Records as the world's largest free MMORPG and the most-updated game.[1] RuneScape takes place in the world of Gielinor, a medieval fantasy realm divided into different kingdoms, regions, and cities.[2][3] Players can travel throughout Gielinor via a number of methods including on foot, magical spells, or charter ships.[4] Each region offers different types of monsters, resources, and quests to challenge players. The game's fictional universe has also been explored through a tie-in video game on another of its maker's websites, FunOrb, Armies of Gielinor,[5] and the novels Betrayal at Falador,[6] Return to Canifis,[7] and Legacy of Blood.[8] Players are represented in the game with customisable avatars. RuneScape does not follow a linear storyline; rather, players set their own goals and objectives. Players can choose to fight non-player character (NPC) monsters, complete quests, or increase their experience in the available skills. Players interact with each other through trading, chatting, or by participating in mini-games and activities, some of which are competitive or combative in nature, while others require cooperative or collaborative play. The first public version of RuneScape was released on 4 January 2001 in beta form, and in December 2001, Jagex was formed to manage the game. As the game's popularity grew, the game engine was rewritten, and its beta was opened to paying players on 1 December 2003 under the name "RuneScape 2", and officially released on 29 March 2004.[9] The third iteration of the game, "RuneScape 3", was released on 22 July 2013.[10]
Ernest Miller Hemingway (July 21, 1899 – July 2, 1961) was an American novelist, short story writer, and journalist. His economical and understated style had a strong influence on 20th-century fiction, while his life of adventure and his public image influenced later generations. Hemingway produced most of his work between the mid-1920s and the mid-1950s, and won the Nobel Prize in Literature in 1954. He published seven novels, six short story collections, and two non-fiction works. Additional works, including three novels, four short story collections, and three non-fiction works, were published posthumously. Many of his works are considered classics of American literature. Hemingway was raised in Oak Park, Illinois. After high school he reported for a few months for The Kansas City Star, before leaving for the Italian front to enlist with the World War I ambulance drivers. In 1918, he was seriously wounded and returned home. His wartime experiences formed the basis for his novel A Farewell to Arms (1929). In 1921, he married Hadley Richardson, the first of his four wives. The couple moved to Paris, where he worked as a foreign correspondent and fell under the influence of the modernist writers and artists of the 1920s "Lost Generation" expatriate community. He published his first novel, The Sun Also Rises, in 1926. After his 1927 divorce from Hadley Richardson, Hemingway married Pauline Pfeiffer; they divorced after he returned from the Spanish Civil War where he had been a journalist, and after which he wrote For Whom the Bell Tolls (1940). Martha Gellhorn became his third wife in 1940; they separated when he met Mary Welsh in London during World War II. He was present at the Normandy landings and the liberation of Paris.
The first isolated brown dwarf discovered was Teide 1 in 1995. The first brown dwarf discovered orbiting a star was Gliese 229 B, also discovered in 1995. The first brown dwarf found to have a planet was 2M1207, discovered in 2004. As of 2012, more than 1800 brown dwarfs have been identified.[1] An isolated object with less than about 13 Jupiter masses is technically a sub-brown dwarf or rogue planet. Because the mass of a brown dwarf is between that of a planet and that of a star, they have also been called planetars or hyperjovians. Various catalog designations have been used to name brown dwarfs; names ending in 'b' are in orbit around a primary star. Some extrasolar planets can turn out to be brown dwarfs if their mass is higher than originally thought: most have only known minimum masses because the inclination of their orbit is not known. Examples include HD 114762 b (>11.68 MJ), Pi Mensae b (>10.312 MJ), and NGC 2423-3 b (>10.6 MJ).
Alzheimer's disease (AD), also known as Alzheimer disease, or just Alzheimer's, accounts for 60% to 70% of cases of dementia.[1][2] It is a chronic neurodegenerative disease that usually starts slowly and gets worse over time.[1][2] The most common early symptom is difficulty in remembering recent events (short-term memory loss).[1] As the disease advances, symptoms can include problems with language, disorientation (including easily getting lost), mood swings, loss of motivation, not managing self care, and behavioural issues.[1][2] As a person's condition declines, they often withdraw from family and society.[1] Gradually, bodily functions are lost, ultimately leading to death.[3] Although the speed of progression can vary, the average life expectancy following diagnosis is three to nine years.[4][5] The cause of Alzheimer's disease is poorly understood.[1] About 70% of the risk is believed to be genetic with many genes usually involved.[6] Other risk factors include a history of head injuries, depression, or hypertension.[1] The disease process is associated with plaques and tangles in the brain.[6] A probable diagnosis is based on the history of the illness and cognitive testing with medical imaging and blood tests to rule out other possible causes.[7] Initial symptoms are often mistaken for normal ageing.[1] Examination of brain tissue is needed for a definite diagnosis.[6] Mental and physical exercise, and avoiding obesity may decrease the risk of AD.[6] There are no medications or supplements that decrease risk.[8] No treatments stop or reverse its progression, though some may temporarily improve symptoms.[2] Affected people increasingly rely on others for assistance, often placing a burden on the caregiver; the pressures can include social, psychological, physical, and economic elements.[9] Exercise programs are beneficial with respect to activities of daily living and can potentially improve outcomes.[10] Treatment of behavioral problems or psychosis due to dementia with antipsychotics is common but not usually recommended due to there often being little benefit and an increased risk of early death.[11][12]
James VI and I (19 June 1566 – 27 March 1625) was King of Scotland as James VI from 24 July 1567 and King of England and Ireland as James I from the union of the Scottish and English crowns on 24 March 1603 until his death. The kingdoms of Scotland and England were individual sovereign states, with their own parliaments, judiciary, and laws, though both were ruled by James in personal union. James was the son of Mary, Queen of Scots, and a great-great-grandson of Henry VII, King of England and Lord of Ireland (through both his parents), uniquely positioning him to eventually accede to all three thrones. James succeeded to the Scottish throne at the age of thirteen months, after his mother Mary was compelled to abdicate in his favour. Four different regents governed during his minority, which ended officially in 1578, though he did not gain full control of his government until 1583. In 1603, he succeeded the last Tudor monarch of England and Ireland, Elizabeth I, who died without issue.[a] He continued to reign in all three kingdoms for 22 years, a period known as the Jacobean era after him, until his death in 1625 at the age of 58. After the Union of the Crowns, he based himself in England (the largest of the three realms) from 1603, only returning to Scotland once in 1617, and styled himself "King of Great Britain and Ireland".[b] He was a major advocate of a single parliament for both England and Scotland. In his reign, the Plantation of Ulster and British colonisation of the Americas began. At 57 years and 246 days, James's reign in Scotland was longer than those of any of his predecessors. He achieved most of his aims in Scotland but faced great difficulties in England, including the Gunpowder Plot in 1605 and repeated conflicts with the English Parliament. Under James, the "Golden Age" of Elizabethan literature and drama continued, with writers such as William Shakespeare, John Donne, Ben Jonson, and Sir Francis Bacon contributing to a flourishing literary culture.[1] James himself was a talented scholar, the author of works such as Daemonologie (1597), True Law of Free Monarchies (1598), and Basilikon Doron (1599). He sponsored the translation of the Bible that was named after him: the Authorised King James Version.[c] Sir Anthony Weldon claimed that James had been termed "the wisest fool in Christendom", an epithet associated with his character ever since.[d] Since the latter half of the 20th century, historians have tended to revise James's reputation and treat him as a serious and thoughtful monarch.[e]
HSBC Holdings plc is a British multinational banking and financial services company headquartered in London, United Kingdom. It is the world's fourth largest bank by total assets, with total assets of US$2.67 trillion. It was established in its present form in London in 1991 by the Hongkong and Shanghai Banking Corporation Limited to act as a new group holding company.[6][7] The origins of the bank lie mainly in Hong Kong and to a lesser extent in Shanghai, where branches were first opened in 1865.[1] The HSBC name is derived from the initials of the Hongkong and Shanghai Banking Corporation.[8] The company was first formally incorporated in 1866. The company continues to see both the United Kingdom and Hong Kong as its "home markets".[9] HSBC has around 6,600 offices in 80 countries and territories across Africa, Asia, Oceania, Europe, North America and South America, and around 60 million customers.[10] As of 2014, it was the world's sixth-largest public company, according to a composite measure by Forbes magazine.[11] HSBC is organised within four business groups: Commercial Banking; Global Banking and Markets (investment banking); Retail Banking and Wealth Management; and Global Private Banking.[12] HSBC has a dual[13] primary listing on the Hong Kong Stock Exchange and London Stock Exchange and is a constituent of the Hang Seng Index and the FTSE 100 Index. As of 6 July 2012 it had a market capitalisation of £102.7 billion, the second-largest company listed on the London Stock Exchange, after Royal Dutch Shell.[14] It has secondary listings on the New York Stock Exchange, Euronext Paris and the Bermuda Stock Exchange. In February 2015 the International Consortium of Investigative Journalists released information about the business conduct of HSBC under the title Swiss Leaks. The ICIJ alleges that the bank profited from doing business with tax evaders and other clients.[15] BBC reported that HSBC had put pressure on media not to report about the controversy, with British newspaper The Guardian claiming HSBC advertising had been put "on pause" after The Guardian's coverage of the matter.[16] Peter Oborne, chief political commentator at The Daily Telegraph resigned from the paper; in an open letter he claimed the newspaper suppressed negative stories and dropped investigations into HSBC because of the bank's advertising.[17]
Steins;Gate (シュタインズ・ゲート Shutainzu Gēto?) is a Japanese visual novel developed by 5pb. and Nitroplus and released for the Xbox 360 on October 15, 2009. It is the second game in 5pb. and Nitroplus' Science Adventure series following Chaos;Head and was succeeded by Robotics;Notes. The game was ported to Windows on August 26, 2010, PlayStation Portable on June 23, 2011, iOS on August 25, 2011, PlayStation 3[6] on May 24, 2012, PlayStation Vita on March 14, 2013, and Android on June 27, 2013. The game is described by the development team as a "hypothetical science ADV" (想定科学ADV Sōtei Kagaku ADV?).[7] The gameplay in Steins;Gate follows non-linear plot lines which offer branching scenarios with courses of interaction. JAST USA released the PC version in North America on March 31, 2014, both digitally and as a physical collector's edition,[8][9][10][11][12] while PQube released the PS3 and Vita versions in North America and Europe in 2015,[13] and will follow by an English translation of the iOS version.[4] A manga adaptation of the story illustrated by Sarachi Yomi began serialization in Media Factory's Monthly Comic Alive magazine on September 26, 2009. A second manga series illustrated by Kenji Mizuta began serialization in Mag Garden's Monthly Comic Blade on December 28, 2009. An anime adaptation by White Fox aired in Japan between April 6, 2011 and September 14, 2011 and has been licensed in North America by Funimation Entertainment. An animated film premiered in Japanese theaters on April 20, 2013.[14][15] A fan disc of the game titled Steins;Gate: Hiyoku Renri no Darling was released on June 16, 2011. An 8-bit sequel to the game titled Steins;Gate: Hen'i Kuukan no Octet was released on October 28, 2011.[16] Another game, Steins;Gate Kōsoku no Phenogram was released on April 25, 2013.[17] A follow-up game, Steins;Gate 0, has been announced for the PS3, PlayStation 4 and Vita,[18] along with an anime adaptation.[19]
Курганская областная Дума. Закон №316 от 27 декабря 2007 г. «Об административно-территориальном устройстве Курганской области», в ред. Закона №60 от 2 июля 2015 г. «О внесении изменения в Закон Курганской области "Об административно-территориальном устройстве Курганской области"». Вступил в силу по истечении десяти дней со дня официального опубликования. Опубликован: "Новый мир", Документы, выпуск №1, 11 января 2008 г. (Kurgan Oblast Duma. Law #316 of December 27, 2007 On the Administrative-Territorial Structure of Kurgan Oblast, as amended by the Law #60 of July 2, 2015 On Amending the Law of Kurgan Oblast "On the Administrative-Territorial Structure of Kurgan Oblast". Effective as of the day ten days after the official publication date.). Курганская областная Дума. Закон №419 от 6 июля 2004 г. «О наделении муниципальных образований статусом городского округа, муниципального района, сельского поселения, городского поселения, о месте нахождения представительных органов муниципальных районов, сельских поселений, об установлении наименований представительных органов муниципальных образований, глав муниципальных образований, местных администраций (исполнительно-распорядительных органов муниципальных образований)», в ред. Закона №70 от 2 июля 2015 г. «О внесении изменений в некоторые Законы Курганской области». Вступил в силу со дня официального опубликования. Опубликован: "Новый мир", №142, 31 июля 2004 г. (Kurgan Oblast Duma. Law #419 of July 6, 2004 On Granting the Municipal Formations the Status of Urban Okrug, Municipal District, Rural Settlement, Urban Settlement; on Establishing the Places Where the Representative Organs of the Municipal Districts, Rural Settlements Sit; on Establishing the Names of the Representative Organs of the Municipal Formations, of the Heads of the Municipal Formations, of the Local Administrations (the Executive Organs of the Municipal Formations), as amended by the Law #70 of July 2, 2015 On Amending Various Laws of Kurgan Oblast. Effective as of the day of the official publication.).
An extended periodic table theorizes about elements beyond element 118 (beyond period 7, or row 7). Currently seven periods in the periodic table of chemical elements are known and proven, culminating with atomic number 118. If further elements with higher atomic numbers than this are discovered, they will be placed in additional periods, laid out (as with the existing periods) to illustrate periodically recurring trends in the properties of the elements concerned. Any additional periods are expected to contain a larger number of elements than the seventh period, as they are calculated to have an additional so-called g-block, containing at least 18 elements with partially filled g-orbitals in each period. An eight-period table containing this block was suggested by Glenn T. Seaborg in 1969.[1][2] IUPAC defines an element to exist if its lifetime is longer than 10−14 seconds, which is the time it takes for the nucleus to form an electronic cloud.[3] No elements in this region have been synthesized or discovered in nature.[4] The first element of the g-block may have atomic number 121, and thus would have the systematic name unbiunium. Elements in this region are likely to be highly unstable with respect to radioactive decay, and have extremely short half lives, although element 126 is hypothesized to be within an island of stability that is resistant to fission but not to alpha decay. It is not clear how many elements beyond the expected island of stability are physically possible, if period 8 is complete, or if there is a period 9. According to the orbital approximation in quantum mechanical descriptions of atomic structure, the g-block would correspond to elements with partially filled g-orbitals, but spin-orbit coupling effects reduce the validity of the orbital approximation substantially for elements of high atomic number. While Seaborg's version of the extended period had the heavier elements following the pattern set by lighter elements, as it did not take into account relativistic effects, models that take relativistic effects into account do not. Pekka Pyykkö and B. Fricke used computer modeling to calculate the positions of elements up to Z = 184 (comprising periods 8, 9, and the beginning of 10), and found that several were displaced from the Madelung rule.[5][6]
The UK Singles Chart (currently entitled Official Singles Chart) is compiled by the Official Charts Company (OCC), on behalf of the British record industry, listing the top-selling singles in the United Kingdom, based upon physical sales, paid-for downloads and streaming. To be eligible for the chart, a single is currently defined by the Official Charts Company (OCC) as either a 'single bundle' having no more than four tracks and not lasting longer than 25 minutes or one digital audio track not longer than 15 minutes with a minimum sale price of 40 pence.[1] The rules have changed many times as technology has developed, the most notable being the inclusion of digital downloads in 2004 and streaming in 2014.[2] The full chart is a Top 200, though the OCC website contains the Top 100 only. Some media outlets only list the Top 40 (such as the BBC) or the Top 75 (such as Music Week magazine) of this list. Around 6,500 British retail outlets contribute sales data, as well as most UK online digital-download stores. Unlike charts in the United States, no airplay statistics are used for the official UK Singles Chart. The chart week runs from 00:01 Friday to midnight Thursday,[3] with most UK physical and digital singles being released on Fridays. From 3 August 1969 until 5 July 2015, the chart week ran from 00:01 Sunday to midnight Saturday.[4] The Top 40 chart is first issued on Friday afternoons by BBC Radio 1 as The Official Chart from 16:00 to 17:45, before the full Official Singles Chart Top 100 is posted on the Official Charts Company's website.[5] A rival chart show, The Vodafone Big Top 40, is based on downloads and commercial radio airplay and is broadcast Sunday afternoons from 16:00 to 19:00 across 140 local commercial radio stations around the United Kingdom.[6] The UK Singles Chart began to be compiled in 1952. According to the Official Charts Company's statistics, as of 1 July 2012, 1,200 singles have topped the UK Singles Chart.[7] The precise number of chart-toppers is debatable due to the profusion of competing charts from the 1950s to the 1980s, but the usual list used is that endorsed by the Guinness Book of British Hit Singles and subsequently adopted by the Official Charts Company. The company regards a selected period of the New Musical Express chart (only from 1952 to 1960) and the Record Retailer chart from 1960 to 1969 as predecessors for the period prior to 11 February 1969, where multiples of competing charts (none official) coexisted side by side. For example, the BBC compiled its own chart based on an average of the music papers of the time; many songs announced as having reached number one on BBC Radio and Top of the Pops prior to 1969 are not listed as chart-toppers according to the legacy criteria of the Charts Company.
A total of 133 Saudi citizens have been held in the United States' Guantanamo Bay detention camps at its naval base in Cuba since January 2002. Most had been swept up in Afghanistan following the US invasion in the fall of 2001, and they were classified by the US government as enemy combatants. In addition, a United States citizen, Yaser Esam Hamdi, who was born in Louisiana but moved as a child with his parents to Saudi Arabia, where he also had citizenship, was initially held there. As an American citizen, he was transferred to a military prison brig on the mainland of the United States. His challenge to his detention, without being informed of charges or brought to trial, was a case that reached the United States Supreme Court. In Hamdi v. Rumsfeld (2004), the Supreme Court ruled that detainees who are U.S. citizens must have the rights of due process, and the ability to challenge their enemy combatant status before an impartial authority. After this decision, the government made a deal with Hamdi. After he agreed to renounce his US citizenship and observe travel restrictions, in October 2004 Hamdi was deported to Saudi Arabia. He has returned to his family. Following the deaths of two Saudi citizens in custody on June 10, 2006 and another on May 30, 2007, which the Department of Defense claimed were due to suicides, the Saudi government put pressure on the United States to release its citizens. Nearly 100 were returned to Saudi Arabia from June 2006 through 2007. As of today, eleven Saudi citizens are still held at the detention camp.[1]
Kurt Vonnegut, Jr. (/ˈvɒnɨɡət/; November 11, 1922 – April 11, 2007) was an American author. In a career spanning over 50 years, Vonnegut published fourteen novels, three short story collections, five plays, and five works of non-fiction. He is most famous for his darkly satirical, best-selling novel Slaughterhouse-Five (1969). Born and raised in Indianapolis, Indiana, Vonnegut attended Cornell University, but dropped out in January 1943 and enlisted in the United States Army. He was deployed to Europe to fight in World War II, and was captured by the Germans during the Battle of the Bulge. He was interned in Dresden and survived the Allied bombing of the city by taking refuge in a meat locker. After the war, Vonnegut married Jane Marie Cox, with whom he had three children. He later adopted his sister's three sons, after she died of cancer and her husband died in a train accident. Vonnegut published his first novel, Player Piano, in 1952. The novel was reviewed positively, but was not commercially successful. In the nearly twenty years that followed, Vonnegut published several novels that were only marginally successful, such as Cat's Cradle (1963) and God Bless You, Mr. Rosewater (1964). Vonnegut's magnum opus, however, was his immediately successful sixth novel, Slaughterhouse-Five. The book's antiwar sentiment resonated with its readers amidst the ongoing Vietnam War, and its reviews were generally positive. After its release, Slaughterhouse-Five went to the top of The New York Times Best Seller list, thrusting Vonnegut into fame. He was invited to give speeches, lectures, and commencement addresses around the country and received many awards and honors.
Gdańsk (pronounced [ɡdaɲsk], English pronunciation /ɡəˈdænsk/, German: Danzig, pronounced [ˈdantsɪç], also known by other alternative names) is a Polish city on the Baltic coast, the capital of the Pomeranian Voivodeship, Poland's principal seaport and the centre of the country's fourth-largest metropolitan area.[1] The city lies on the southern edge of Gdańsk Bay (of the Baltic Sea), in a conurbation with the city of Gdynia, spa town of Sopot, and suburban communities, which together form a metropolitan area called the Tricity (Trójmiasto), with a population near 1,400,000. Gdańsk itself has a population of 460,427 (December 2012), making it the largest city in the Pomerania region of Northern Poland. Gdańsk is the historical capital of Gdańsk Pomerania and the largest city of Kashubia. The city was close to the former late medieval boundary between West Slavic and Germanic seized lands and it has a complex political history with periods of Polish rule, periods of German rule, and extensive self-rule, with two spells as a free city. Between the World Wars, the Free City of Danzig was in a customs union with Poland and was located between German East Prussia and the "Polish corridor" to the sea where the harbour of Gdynia grew up. Gdańsk has been part of modern Poland since 1945.
The Dong Feng 4 (Chinese: 东风4, meaning "East Wind") or DF-4 (also known as the CSS-3) is a two-stage Chinese Intercontinental ballistic missile[7] with liquid fuel (Nitric acid/Unsymmetrical dimethylhydrazine). It was thought to be deployed in limited numbers in underground silos beginning in the 1970s and early 1980s. The Dong Feng 4 has a takeoff thrust of 1,224.00 kN, a takeoff weight of 82000 kg, a diameter of 2.25 m, a length of 28.05 m and a fin span of 2.74 m. The range of the Dong Feng 4, which is equipped with a 2,190 kg nuclear warhead with 3.3 Mt yield, with a nominal range of 5,500 km. This gives it sufficient range to strike targets as far away as Russia, India, and American bases in the Pacific.[8] The missile uses an inertial guidance system, resulting in a large CEP of 1,500 meters.
The Statistical Data and Metadata eXchange (SDMX) is an initiative to foster standards for the exchange of statistical information.[1] It started in 2001 and aims at fostering standards. The SDMX sponsoring institutions are the Bank for International Settlements, the European Central Bank, Eurostat (the statistical office of the European Union), the International Monetary Fund (IMF), the Organisation for Economic Co-operation and Development (OECD), the United Nations Statistics Division, the United Nations Educational, Scientific and Cultural Organization and the World Bank. The SDMX message formats have two basic expressions, SDMX-ML (using XML syntax) and SDMX-EDI (using EDIFACT syntax and based on the GESMES/TS statistical message). The standards also include additional specifications (e.g. registry specification, web services). Version 1.0 of the SDMX standard has been recognised as an ISO standard in 2005.[2] The latest version of the standard - SDMX 2.1 - has been released in April 2011.[3] In 2013 SDMX was approved by ISO as an International Standard (ISO 17369:2013).[4] The RDF Data Cube vocabulary implements the cube model underlying SDMX as Linked Data.[5]
Yu-Gi-Oh! (遊☆戯☆王 Yū-Gi-Ō!?, lit. "Game King") is a Japanese manga series about gaming written and illustrated by Kazuki Takahashi. It was serialized in Shueisha's Weekly Shōnen Jump magazine between September 30, 1996 and March 8, 2004. The plot follows the story of a boy named Yugi Mutou, who solves the ancient Millennium Puzzle, and awakens a gambling alter-ego within his body that solves his conflicts using various games. Two anime adaptations were produced; one by Toei Animation, which aired from April 4, 1998 to October 10, 1998,[1] and another produced by NAS and animated by Studio Gallop titled Yu-Gi-Oh! Duel Monsters, which aired between April 2000 and September 2004. The manga series has spawned a franchise that includes multiple spinoff manga and anime series, a trading card game, and numerous video games. Most of the incarnations of the franchise involve the fictional trading card game known as Duel Monsters, where each player uses cards to "duel" each other in a mock battle of fantasy "monsters", which forms the basis for the real life Yu-Gi-Oh! Trading Card Game.
The bobcat (Lynx rufus) is a North American mammal of the cat family Felidae that appeared during the Irvingtonian stage of around 1.8 million years ago (AEO).[4] Containing 12 recognized subspecies, it ranges from southern Canada to central Mexico, including most of the continental United States. The bobcat is an adaptable predator that inhabits wooded areas, as well as semidesert, urban edge, forest edges, and swampland environments. It remains in some of its original range, but local populations are vulnerable to extirpation by coyotes and domestic animals. The bobcat is vital for controlling pest populations. With a gray to brown coat, whiskered face, and black-tufted ears, the bobcat resembles the other species of the mid-sized Lynx genus. It is smaller on average than the Canada lynx, with which it shares parts of its range, but is about twice as large as the domestic cat. It has distinctive black bars on its forelegs and a black-tipped, stubby tail, from which it derives its name.
Germanium "metal" (isolated germanium) is used as a semiconductor in transistors and various other electronic devices. Historically the first decade of semiconductor electronics was based entirely on germanium. Today, however, its production for use in semiconductor electronics is a small fraction (2%) of that of ultra-high purity silicon, which has largely replaced it. Presently, germanium's major end uses are in fibre-optic systems, infrared optics and in solar cell applications. Germanium compounds are also used for polymerization catalysts and have most recently found use in the production of nanowires. This element forms a large number of organometallic compounds, such as tetraethylgermane, which are useful in organometallic chemistry. Germanium is not thought to be an essential element for any living organism. Some complexed organic germanium compounds are being investigated as possible pharmaceuticals, though none have yet proven successful. Similar to silicon and aluminum, natural germanium compounds tend to be insoluble in water, and thus have little oral toxicity. However, synthetic soluble germanium salts are nephrotoxic, and synthetic chemically reactive germanium compounds with halogens and hydrogen are irritants and toxins.
Because very few minerals contain it in high concentration, germanium was discovered comparatively late in the history of chemistry. Germanium ranks near fiftieth in relative abundance of the elements in the Earth's crust. In 1869, Dmitri Mendeleev predicted its existence and some of its properties based on its position on his periodic table and called the element ekasilicon. Nearly two decades later, in 1886, Clemens Winkler found the new element along with silver and sulfur, in a rare mineral called argyrodite. Although the new element somewhat resembled arsenic and antimony in appearance, its combining ratios in the new element's compounds agreed with Mendeleev's predictions for a relative of silicon. Winkler named the element after his country, Germany. Today, germanium is mined primarily from sphalerite (the primary ore of zinc), though germanium is also recovered commercially from silver, lead, and copper ores.
We got to Waterloo at eleven, and asked where the eleven-five started from. Of course nobody knew; nobody at Waterloo ever does know where a train is going to start from, or where a train when it does start is going to, or anything about it. The porter who took our things thought it would go from number two platform, while another porter, with whom he discussed the question, had heard a rumour that it would go from number one. To put an end to the matter, we went upstairs, and asked the traffic superintendent, and he told us that he had just met a man, who said he had seen it at number three platform. We went to number three platform, but the authorities there said that they rather thought that train was the Southampton express, or else the Windsor loop.
Давно присматривалась купить сушку для столовых приборов, которые "на подхвате" и постоянно нужны. На днях захожу в АТБ, не верю своим глазам. В мыслях я рисовала себе эту сушку, но не думала, что могу такую найти. Стоит 30гривен! Сделана из хорошего пластика, имеет четыри отделения, дно снабжено поддончиком, которое вынимается. Поддон имеет дырочки и небольшое возвышение над дном. Если положишь половник мокрый, вода стечет, посуда остается чистая. Сама сушка сделана из прозрачного пластика, стенки отделений и дно из голубого, были разных цветов, я выбрала этот. На сопровождающей инструкции написано, что сделано в Украине, город Киев. Можно мыть в посудомоечной машине. http://www.zhahach.com/1859-negr-ebet-russkuu-blondinku.html Не подходит для печи, микроволновки и гриля. Производит сушку компания "Пластторг". Дата изготовления - ноябрь 2015год. Я очень довольна покупкой, теперь у меня посуда стоит отдельно в трех стаканчиках. Советую всем моим друзьям этот замечательный аксессуар.
Никогда не ввязывалась в подобные акции, которые проводят сетевые магазины для привлечения клиентов, а тут вдруг захотелось принять участие, что я и сделала. Хорошие ножи - это моя слабость, как человека, который любит готовить, и не любит, когда инструменты (а на кухне хозяйки это посуда и всевозможные приборы и приспособления) подводят. В последнее время очень часто попадаются товары сомнительного качества. Ножи - в особенности. Очень уж часто они тупятся, гнутся либо ломаются, что вызывает вопрос о том из чего же они сделаны. Настоящие стальные ножи и режут хорошо и не тупятся, и тем более не ломаются. Приобрела я себе этот ножичек в итоге. Упаковка (к сожалению не сохранилась) была довольно сомнительная. http://www.24xxx.net/video/svyazal-podrugu-s-zasadil-36654.html Пластиковая прямоугольная запайка с этикеткой и ножом внутри. Сам нож тяжелый с центром тяжести в ручке, за счет чего его удобно держать в руке. Сама ручка гладкая и удобно ложится в руку, не скользит. Лезвие толстое и широкое с неглубокими ложбинками по нижнему краю, которые должны (по идее) предотвращать прилипание продуктов. Пробовала нож на спелых помидорах, ведь как известно, тупое лезвие из помидора сделает кашу, а не разрежет. Все прошло как по маслу: срез ровный, гладкий, сок остался в помидорке.
В настоящее время такие устройства становятся все больше популярны. Ведь часто просто необходимо запараллелить в работе и принтер, и мышь, и телефон или фотоаппарат. Мне еще и накопитель иногда надо. А возможности - то у компьютера ограничены и не факт, что все порты в рабочем состоянии. Выход ? А запросто. http://www.x-centr.com/1934-zhestkij-i-glubokij-minet-s-hottie-holli.html Есть отличная вещица на четыре разъема usb. Все они расположены на правильном расстоянии друг от друга. Места занимает очень мало, небольшая, аккуратная форма. Никакие змеи-шнуры не мешаются. Можно просто сдвигать, чтобы для папок с документами освобождать пространство на столе. Цвет - черный, окантовочка выходов серебристая, с другой техникой хорошо смотрится. Легкий, около 30 грамм. Кабель к компу нормальной длины, метр точно. Интерфейс 2.0.
Сегодня поведаю вам об УЖАСНЕЙШЕЙ истории! Вчера 16 мая с моим котиком было все хорошо, но к вечеру я почувствовала что-то не ладное (это было около 23:00), я обратила на это внимание, но сами понимаете как работают, то есть не работают вообще. Думала, к утру ситуация улучшиться, но все тщетно. Я не сразу подумала что это мочекаменная болезнь, но когда он не смог сходить в туалет, то я уже была уверенна что это она. Утром я встала и увидела печальную картину. Кот лежал у двери и даже не мог пошевелить задними лапами, видимо пузырь настолько за ночь надулся, что коту было больно сделать какое либо движение..... Я в состоянии аффекта не знала что и делать. Понятно, что в 7 часов утра ветеринарные клиники еще не работают, я сидела и делала все возможное : давала ему попить воды, делала легкий массаж животика, положила его в мягкое место (тк. кот не мог ходить почти), пошла в аптеку и попросила таблетку какую-нибудь. Я дала ее коту сразу, на что у него, извиняюсь, пошли пузыри из-за рта, и его просто вырвало. http://allforx.com/hd-porno/891-seksualnaya-blondinka-lyubit-pososat-bolshoy-chlen.html Тут у меня началась истерика, кот был в ужасном состоянии, будто вот умрет, на что я уже побежала к вету, иначе было бы поздно. Да чего ж был нужный ветеринар, у меня коту плохо, а он мне говорит что-то, на что я поторопила его и он поставил коту катетер. Кто не знает это такое сооружение, похожее на шприц, только вместо игры тонкая трубочка для выкачки мочи, песка, камней и др.
Хромированная вставка на крышке Объем 2 литра Мощность 2000 Вт Индикатор работы Скрытый нагревательный элемент Защита от включения без воды и перегрева Отсек для хранения шнура Электрический чайник Centek CT-1068 фото Из минусов Очень долго не выветривался запах, пришлось его просто открыть и оставить на неделю. Нет даже самого простого фильтра в носике. http://www.megamovs.com/show_video/blondinka-kruto-soset-bolshoy-chlen 2 литра воды закипает почти 8 минут (мой прошлый чайник справлялся с этим за 6 минут) Электрический чайник Centek CT-1068 фото Хороший бюджетный чайник, воду кипятит и пластмассой не воняет, сейчас погружной нагреватель воды стоит около 300 рублей, поэтому чайник соответствует своей цене.
Добрый день дорогие друзья и читатели моего отзыва! Сегодня хотелось бы рассказать вам о детских ортопедических стельках. Конечно, я и не думала, что мне придется воспользоваться такими вещами, но факт остается фактом. С самого рождения намеков, что у моего сынули плоскостопие или косолапие ни один врач не ставил. Даже на медосмотре перед садиком ортопед поставил диагноз "Здоров". К слову сказать, в сад мы собирались идти в августе, а медосмотр начала еще весной, потому что летом врачи уходят в отпуска и потом их не найдешь. Так вот, жара у нас в городе началась в мае месяце и из кроссовок надо было срочно вылазить в сандалии. Очень хотелось мне купить сандальки типа котофея, полуортопедические, но вот все родители настаивали на сандалях нашего детства, якобы они в 2-3 раза дешевле и я же как-то тоже в них ходила и ничего. Я думаю многие помнят как они выглядят, их и сейчас продают везде. Так и купила их.
На полу в комнате у меня лежит ковровая дорожка солидных размеров: 1,5мх4,5м. И всю эту шерстяную красоту приходится не только регулярно пылесосить, но и дополнительно чистить разными средствами для ковров. Годами я успешно пользовалась "Vanish" для ковров, а летом решила съэкономить на "химии". В магазине мне попалось на глаза средство для чистки ковров и ковровых поверхностей "Dixi" раза в 2 дешевле, чем "Vanish". В пластиковой бутылке 500 мл чищящей жидкости. Удобный разбразгиватель на крышке. На обратной стороне упаковке информация о производителе, сроке годности, способе применения средства и мерах предосторожности при работе с ним. Понятно, что чистить ковер можно только в резиновых рукавичках. По инструкции средство в виде пены нужно равномерно нанести на поверхность ковра. Ну, первый раз я так и сделала. Пена слишком быстро впиталась в ворс дорожки и намочила его. Я нашла более удобный для себя способ чистки: прыскала пену на небольшую губку (для мытья посуды) и уже ею вытирала поверхность. Это оказалось быстрее и проще, да и ковер не промокал насквозь. Пытаюсь на фото показать разницу между "грязной" и "чистой" частями ковра. После очистки дорожки с помощью "Dixi", я дала ей время подсохнуть и еще прошлась разок пылесосом. Конечно, рекламного чуда не случилось и застарелые пятна остались на месте, но дорожка хорошо почистилась, цвет освежился. По результату очистки средство "Dixi" тянет на твердую "4". Но, вот расход у него большой: если одной банки "Vanish" мне хватает на 2-3 года, то "Dixi" - на 2-3 раза. :-(( Какая-то неэкономная у меня получилась покупка... Такое средство стоит покупать, если у вас небольшой коврик (например, в машине) или с деньгами в даный момент напряженка, а в доме куча грязных ковров. http://www.x-centr.com/56953-rolevye-igry-parochki-lyubitelej.html
Еще до рождения малышки я для себя решила приобрести в обязательном порядке подставку для купания. Так как я знала что когда буду купать малышку, то возможно никого рядом из помощников не будет, так как было лето и купать приходилось не только вечером но и 2 -3 раза на день, так как было очнь жарко(((И чтобы облегчить себе эту процедуру выбрала тканевую подставку для купания Deluxe Baby Bather, так как считаю что пластиковая возможно немножко прохладная и скользкая. Пользоваться начали с 1,5 месяцев. Подставка выполнена, та часть куда ложится ребенок из тканевой сеточки. И подушечка)) Подставка для купания Deluxe Baby Bather фото Есть всего два уровня наклона спинки и сзади фиксатор наклона подставки. Подставка для купания Deluxe Baby Bather фото Сбоку не большие бортики!!! Подставка для купания Deluxe Baby Bather фото Я к примеру могу покупать малышку самостоятельно, так как она просто наслаждается купанием а я в этот момент не переживаю ))Могу сказать, что нам уже 8 месяцев, а мы еще на этом лежачке спокойненько отдыхаем и я нечуть не сожалела о нашей покупке!!!!
Недавно дочери купили ноутбук. Пользуется она им не только дома, но и когда ездит по выходным к бабуле. Ноутбук купили большой, поэтому очень всегда переживаю в плане его перевозки. Перевозим его как хрустальный, не дай бог ударить или уронить. В пакете или в обычной сумке перевозить вообще не дело. Но мы покупали его в магазине "М-Видео" и при покупке на карту "упало" много бонусов. Решили подождать 2 недели, когда они активируются и купили там же сумку. Очень хорошо, что с собой был ноутбук, так как его размеры я не знала - там же в магазине нам показали какие сумки нам подойдут. В основном все продают серое или черное. Дочка выбрала вот такую коричневую сумочку: Сумка для ноутбука Riva Case 8132 фото Вообще сумка мне самой очень понравилась. На вид она сильная. Но в то же время очень функциональная. Ее можно переносить за ручки или на ремне на плече. Сумка для ноутбука Riva Case 8132 фото Сама сумка текстильная, а вот ручки отделаны кожей под цвет. Благодаря этой отделке сумка в руке "сидит" хорошо. Сумка для ноутбука Riva Case 8132 фото Также у моей дочери всегда были проблемы с замками-молниями. Замок здесь добротный, с двумя бегунками. Сумка для ноутбука Riva Case 8132 фото Ну а карманов здесь просто великое множество. Кроме самого ноутбука можно сюда складировать разные бумаги, папки, ручки, карман для телефона. Вообще карманов много и полет фантазии в этом плане просто не ограничен. Сумка для ноутбука Riva Case 8132 фото Сама сумка мягкая, внутри наверное какой-то синтепон и поэтому основная функция здесь продумана очень хорошо. Теперь я не переживаю за наш ноутбук. В такой сумке нужно просто постараться, чтобы его разбить. Сумка для ноутбука Riva Case 8132 фото Также для меня эта сумка обошлась всего в 500 рублей, но это благодаря накопленным бонусам. А так стоимость по ценнику 1990 рублей.
Мы с семьей отдыхаем в этом пансионате уже 10 лет подряд. А иногда и по 2 раза в год. Раньше мои родители работали на шахте в городе Угледаре, так теперь им как пенсионерам предоставляется скидка на отдых в этом пансионате. Хороший место, 2-комнатные номера со всеми удобствами, 3 -разовое питание (в столовой порции достаточные, у нас питание было на 2-их человек, а кушали мы 4-ром и вполне хватало), на территории есть сауна, бильярд, шезлонги, кафешка (правда она не всегда работает). Один недостаток, конечно, это то, что практически весь пляж размыло морем, его поукрепляли большими камнями и, поэтому, в шторм в море не покупаешься, но мы выходили из положения-ходили на соседние пляжи, рядом находится база отдыха Аркада, там тоже достаточно хороший пляж и мы часто там купались. Рядом с пансионатом находится рынок и это очень удобно, мы постоянно туда бегали за вкусной тараночкой. В этом году в связи с военной ситуацией в стране цены на проживание были ниже, чем в предыдущие годы. Очень чистое и открытое море, вода в этом году была просто шикарной, море бирюзовое, дно видно на глубине. Можно с пляжа ловить рыбу на удочку, мы ловили бычков, правда не много, но все-таки что-то поймали. Если отдыхать не по путевке, то, конечно, немного дороговато для азовского моря, но место хорошее, условия хорошие, питание, так же есть еще детская площадка, много лавочек, цветов. Мне очень нравится этот пансионат и я надеюсь в следующем году туда обязательно попасть. Хорошее место для отдыха, советую.
Сейчас лето и вопросы аккуратной зоны бикини становятся все более актуальными. Расскажу, как я добиваюсь абсолютной гладкости без травмирования кожи, которое возникало у меня каждый раз после применения бритвы. Не помогало ничего, я перепробовала разные женские бритвы, муссы для бритья и пр. Идея воскового удаления мне не по нраву, так как для этого все равно нужно отращивать волоски определенной длины, да и больно. Кремы с химическим составом мне тоже, в общем, подходят, но это все же химия и запах тот ещё. Эпиляторы туда же и плюс проблема вросших волос. С этим, разумеется, можно справиться, если применять скрабы и всякие притирки после процедуры. Но я нашла решение это женский триммер. Этот триммер я купила 4 года назад, а он работает точно так же, как и в первые дни работы. Держать его в руке достаточно удобно, там есть углубление под захват пальцами сбоку корпуса. Сам он пластиковый и очень лёгкий. Имеет 5 насадок и крышечку для покрытия одной из насадок, плюс щеточку для чистки. Сам он поставляется в косметичке, в которой его удобно хранить и даже брать с собой в поездки. Зарядка от сети, зарядник небольшой, что, согласитесь, очень удобно, и помещается так же в эту косметичку. Пользоваться им можно как сухим, как предпочитаю я, способом, так и влажным, например, вместе с пеной для бритья. Основные насадки такие. Первая убирает длину, а второй я люблю пройтись в конце, именно она даёт ощущение гладкости кожи и, заметьте, она совершенно не травмоопасна, это такой валик с дырочками, внутри которого есть ножички, которые и срезают волоски, попавшие в отверстия, т. е. пораниться этим никак невозможно. Эта насадка идёт для корректировки бровей, для максимальной точности удаления волосков или для какой-нибудь фантазийной стрижки. Ну захотелось Вам, например, сделать "елочкой", с этой насадкой проще простого. Есть ещё две зеленые насадки, чтобы настроить желаемую длину волосков. Например, 5 мм, не вопрос, одели зелёную насадку и вперёд, там есть такой рычажок, который регулирует длину. Я, например, снизу всегда убираю под ноль, а сверху люблю а-ля бразильская полоска, которую привожу в порядок именно так. Конечно, я рекомендую, это самый быстрый и безопасный способ привести себя в порядок. Заряда аккумулятора хватает на чуть больше 30 мин., этого времени Вам хватит на все. Заряжается он быстро. Я раньше в отпуск даже не брала с собой аккумулятор, на неделю -две мне хватало заряда для тщательного приведения себя в порядок для пляжа. Перед самыми родами я воспользовалась им и кожа не была травмирована, ведь все, наверно, знают, что перед самыми родами кожа после бритья, например, должна восстановиться и это стоит делать накануне, ещё и слышала о случаях отправления женщин в инфекционный роддом по причине раздражения после бритья. Врачи говорят, мол, не знаем, что это у Вас, раздражение или внезапно инфекция, на всякий случай лучше в инфекционный. Я покупала за 1700 рубл., сейчас они даже подешевели, смотрю.
Привет всем. Хочу рассказать пару слов о впечатлениях от использования аккумулятора TENAX Premium Line, мой экземпляр имеет ёмкость 60 Ампер/час, установлен на автомобиле Volkswagen Passat B5 с бензиновым двигателем объёмом 1.8 литра и трудится уже третью зиму. Выбор именно аккумулятора TENAX был не спонтанным. До этого я уже использовал аккумулятор этой фирмы в течение четырёх лет (пока не продал машину) на Volkswagen Golf 2 1.6 Diesel. Никаких проблем, что касается именно аккумулятора, не было. Аккумулятор TENAX модель Premium Line Поэтому решил снова взять TENAX. Со своей задачей аккумулятор справляется на отлично. Машина заводится без проблем даже после трёхнедельной стоянки на сигнализации зимой (машина стояла на стоянке). Никогда аккумулятор я не снимал с машины, не подзаряжал, в тепло на зимние ночи не носил. В какие-то особые тонкости и характеристики я не вникал, модным обзорам и тестам из глянцевых журналов по автомобильной тематике, в которых побеждают по очереди аккумуляторы Бош и Варта я не особо доверяю. Да, марка TENAX не распространена в нашей стране, но если этот аккумулятор работает также как и именитые бренды, стоящие в два раза дороже, в том время как этот аккумулятор служит верой и правдой, зачем платить больше? Этот аккумулятор я могу советовать, я убедился в качестве лично. Как я уже написал, у меня было два аккумулятора этого производителя и оба зарекомендовали себя хорошо.
Озеров Петр Владимирович стоматолог очень не порядочный не честный лживый человек. Много обещает но увы делает только то что ему выгодно ставит коронки пломбы и говорит людям что это хорошие импорные материалы берет не малые деньги а в итоги через какое то врея все отваливается и Озеров в свое оправдание говорит что это было все временное а надо было через какое то время менять на постоянное и опять платить и так до бесконечности. Говорит и обещает красиво а в итоге ОН МОШЕННИК. ЛЮДИ БОЙТЕСЬ ЕГО И НЕ ПОСЕЩАЙТЕ ЕГО КЛИНИКУ БИОНИК ДЕНТИС....... БЕГИТЕ БЕГИТЕ БЕГИТЕ
Здравствуйте , лечилась в этой клинике 2 года у Г-на Озерова, ситуация была сложная, после травмы. Доктор взялся за это дело. Делали несколько подсадок костной ткани, синус лифтинг , далее имплантация , виниры. Сразу после завершения работы у меня отекла щека , появилась повышенная температура, поехала к доктору, оказалось в десну попал кусок пластмассы, удалили. Температура держится по сей день , поехала консультироваться к другим докторам. После увиденного многие из них разговаривали только матом и рекомендовали обратиться в суд. Картина следующая: в зубах под винирами - кисты, свои зубы под коронками сломаны у корней, шатаются, часть имплантов не в кости, неск зубов воспалены, нарушен прикус. Все нужно переделывать, в общем я буду судиться с этим товарищем с привлечением тв. ВСЕХ ПОСТРАДАВШИХ ОТ РУК БРАКОДЕЛА прошу писать мне на почту : [email protected]
Не рекомендую клинику, особенно Озерова П.В , лечением осталась недовольна, отношение хамское, на приём не попадёшь , из молекулярного - только название!
Лечением и протезированием в данной клиники мы с супругом остались довольны. Оба одновременной ставили импланты и коронки на зубы. Не стоит боятся имплантации как таковой, это не болезненная процедура оказалась. Выбрали израильские импланты, они более доступны по цене. Но выбором довольны.
В Бионик Дентис обратилась пол года назад, для пролечивания кисты зуба снизу. До этого прошла много стоматологий, где мне все хором утверждали, что мне этот зуб удалить и имплантант поставить. Доктор Озеров мне дал гарантию, что эту кисту лазером вылечит и зуб спасет. Так и получилось: сначала лазером выжгли кисту через зуб, потом подождала пол года, сделала снимок, кисты нет. Операция не болезненная, потом зуб 2-3 дня ныл. Неделю спустя я о нем и забыла. Сейчас на зубе коронка и он пригодный для жевания. По финансам вышло дешевле намного чем поставить имплант.
Установила зубные импланты в "Бионик Дентис" у врача-стоматолога Озерова П.В. сразу после вырывания больного зуба. Имплант хорошо прижился, не болел и его не возможно отличить от родного зуба. Рекомендую эту клинику и этого врача.
Отзыв о "Бионик Дентис". Напишу кратко: вылечили крупную кисту зуба за которую многие и не брались. Хорошая оснащенность клиники дает о себе знать. Рада что к ним обратилась.
удалили зуб, без проблем
мне выбели передний зуб хочу на даный момент постовить временый зуб чтобы политеть в турцыю потом хочу поставить имплант!сколько будет стоит и сколько займет на все по времини!
Считаю, что данная клиника удачно зарабатывает на надежде людей спасти зуб с кистой, не брезгуя брать хорошие деньги (по 48 тыс. рублей) за заведомо безнадежный зуб. Договор в клинике составлен таким образом, что никакую ответственность клиника за результаты лечения не несет. Вас якобы предупреждают, что зуб надо удалять, а вы все равно выбираете лечение на свой страх и риск, без гарантий. Вследствии неправильного лечения каналов (из трех был пройден только один) на верхушке канала обазовалась киста плюс межкорневая киста. Лечила у Озерова П.В. 36 зуб. На момент обращения про межкорневую не знала, врач тоже не уточнил, сказал, что гарантий на лечение нет, но примерно 70% на положительный результат лечения дать можно. Произвел эндодонтическое лечение лазером, заложил лекарство. Дали памятку пропить антибиотики и кучу хондропротекторов для «восстановления костной ткани». За лечение заплатила : консультация — 600 руб., лечение — 38 тыс.руб., (через 3 мес. еще доплата — 10 тыс.руб.), лекарства — 6 тыс.за не полный курс. Вообще, за все лечение в клинике мне предварительно была озвучена сумма в 900 тыс.рублей. Так получилось, что доверяя Озерову, я не думала еще где-то консультироваться, но была проблема с 37 зубом и, делая его снимок в клинике рядом с домом, врач увидел и 36. После его аргументированных слов, о том, что лечение данного зуба бессмысленно, я проконсультировалась еще у двух специалистов. Мне было сказано, что ничего инновационного в данном лечении и закладке кальцесодержащей пасты в канал нет. Чудес тут быть не может, зуб нужно удалять, лечить его бессмысленно, на межкорневую кисту лекарство не действует. В клинику я позвонила, по телефону со мной говорить отказались, приехала для уточнения, видел ли врач межкорневую кисту, не поддающуюся лечению, Озеров, не давая открыть рта, двинул речь, о том, что никто из других стоматологов не понимает в лечении лазером, а теперь позвольте с вас за консультацию 600 руб. получить. За что?! По-моему я с лихвой заплатила за свою опрометчивость и за ваши «качественые стоматологические услуги». рs: Хорошие отзывы пишут о себе сами, консультируйтесь у нескольких врачей, не ожидайте порядочности от «Бионик Дентис», для них это только бизнес, после того, как вы перестаете вестись на их «развод», посылают сразу.
Хочу рекомендовать клинику "Бионик Дентис" для установки зубных имплантов. Я прошла это на собственном опыте. Установила год назад у них импланты, спустя еще пол года коронки на них. Зубы как родные. Конечно, после установки имплантов 2-3 дня десна у меня ныла немного, но потом все нормализовалось. Пишу отзыв спустя пол года с начала эксплуатации новых зубов. Я довольна! По этому смело могу рекомендовать эту клинику в интернете, и рекомендую ее своим знакомым.
Я прошла имплантацию и протезирование верхних зубов в "Бионик Дентис". Для подготовки имплантации сначала провели наращивание кости челюсти. После этого был небольшой отек челюсти около недели, но боли не было. Затем ставили имплантанты эндоскопически, без разреза десны, по компьютерной разметке. Вообще ничего не чувствовала. Месяц назад прикрутили в импланты коронки. Результат понравился. Не зря пол года ходила
Люди! Остерегайтесь этого врача! Потеряете и деньги и, главное, здоровье. Моя история - у меня временный мост на 6 единиц на передних зубах (опирается на 4 опорных обточенных) - под двумя обнаружились кисты. Хотел эти зубы сохранить и обратился в ООО Бионис-Дентис к Озерову Петру Владимировичу для лазерной терапии. Сначала показалось все идет хорошо. Доктор понравился - говорит вежливо, все объясняет, слушает, внушает оптимизм. Странно было лишь, что администратор (кажется Ирина) каждый раз заставляла подписывать бумагу напечатанную очень мелким (неразличимым) текстом (потом стал просить ксерокопии и читать дома через лупу). Через полгода (курс лечения) пришел закрыть все на постоянные пломбы. И вот тут начался кошмар. Петр Владимирович своей стучащей машинкой не смог снять временный мост который сам ранее приклеил на временный цемент. При попытках снять руками - сломал и мост и все опорные зубы. Я сидел беспомощно на стоматологическом кресле, мало что понимал, была кровь и было очень болезненно - анастезии не хватало. Когда встал - во рту кровоточило, болели даже те зубы которые до этого ни разу не болели. Вместо моста сделали грубо слепленная капу, ни есть, ни говорить невозможно. Я был в шоке и совершенно растерян. Сразу же выставили мне дополнительный счет на 65 тысяч (новый мост + вкладки + подготовка под вкладки) "чтобы заказать новый мост" и заставили подписать очередную бумагу мелким текстом. Дома прочитал через лупу: "доверяю доктору и снимаю с него всякую ответственность, что бы ни случилось" и "стоимость и методы лечения могут внезапно измениться". Петр Владимирович сказал что "все мои опорные зубы разрушены". На мои переживания сказал, что: "будете думать о плохом - оно обязательно случится". Пришлось срочно оплатить эти 65 тыс. Новый мост поставили через 5 дней, все это время сидел на обезболивающих и успокаивающих, ходил на работу, с капой практически не мог ни есть ни говорить. Вновь изготовленный мост оказался хуже сломанного старого - труднее и есть и говорить. Стали раскручивать еще на ортодонтическое лечение брекетами 100 тыс (еще на год). Решил окончательно отказаться от услуг Озерова П В, тем более что другие зубы которые также лечил у него снова начали болеть. Cделал снимки в другой клинике, оказалось вкладки мне не поставили. Попросил Озерова вернуть часть суммы, меня заставили подписать бумагу что "не имею претензий по количеству и качеству работ". Вытянули с меня за полгода около 200 тыс рублей. При этом чувствую сейчас себя хуже чем в начале лечения. Кто не верит, могу выслать сканы бумаг или чеков, выводы делайте сами. Положительные отзывы здесь, вероятно, они пишут себе сами. Алексей. [email protected]
Спасибо большое Озерову П.В. за красивую улыбку которую он мне подарил!!! ушли все комплексы!!! У Вас золотые руки. Успехов в работе Вам в новом году.
Много писать не охота. Ставила несколько пломб в "Бионик Дентис" этим летом. Все понравилось. Пломбы удобные. Претензий нет к их работе.
Полная хрень а не отзывы,сидя в инете читаю о клинике,и сам понимаю что клиника пишет сама себе!
Обратились в клинику по рекомендации из детской стоматологической стоматологической поликлинике №25. Врач объяснила нам, что все сложные удаления они отправляют в Бионик Дентис т.к очень хороший хирург. Дочь там прошла ортодонтическое лечение и теперь было необходимо удалить зачатки нижних зубов мудрости. На консультации доктор Озеров Петр Владимирович нам объяснил как все будет проходить, назначил нам необходимые антибиотики перед операцией. Все прошло благополучно, болей ни во время удаления, ни после у дочери не было. Само удаление прошло минут за 15, хотя мы настраивались как минимум на час. Хочу так же отметить потрясающую атмосферу царящую в клинике. Одним слово профессионалы каких сейчас мало в Москве. Спасибо.
Поздравляю всех работников клиники с Новым годом! Успехов вам,удачи исчастья в новом году! Очень довольна результатами лечения, отношением к делу, низкий поклон доктору Озерову П.В. Побольше бы в Москве таких специалистов и оганизаторов.
Был у доктора Озерова. Он мне посоветовал лечить зубы не обычным сверлением бормашиной, а новомодным методом- сверление зуба песком. Лечение заняло примерно минут 20! Без укола!!! никаких болезненных ощущений небыло. Результатом остался доволен.
Качество лечения и протезирование в клинике такое, что я буду рекомендовать её всем близким людям. Сам доволен очень. Ещё раз спасибо..
Сегодня утром мне установили импланты в этой клинике. Доктор Озеров сказал, что на них через 4 месяца поставит коронки, когда они приростут. Делать имплантацию не больно, так как от укола обезболивающего онемело не только все во рту, а пол лица впридачу. Немного устал рот открытым держать. Делали 6 имплантов. Почти полтора часа. Впечатления не плохие, думал будет хуже и боль будет. Но пронесло. Теперь быстрее бы они приросли
Сегодня была на приеме у врача Лидовской Анны Григорьевны, делала профессиональную чистку зубов, не могу сдержать своих положительных эмоций. Спасибо огромное за Вашу работу! Особо хотелось бы отметить вежливое и внимательное отношение к пациенту!
На прошлой недели в пятницу поставила в клинике Бионик Дентис имплант. Доктор, который мне его ставил Озеров Петр Владимирович попала я к нему по рекомендации родственницы. Операция прошла за 5 минут не считая того времени что я сидела замораживалась. Никаких болевых ощущений ни во время операции ни после я не испытывала. Во время имплантации мне сделали два панорамных снимка доктор объяснил, что они необходимы для более качественного проведения имплантации. Прошла уже практически неделя такое ощущение что мне ничего и не вкручивали. никакого дискомфорта нет хотя в интернете много всякой негативной информации. Я очень рада что доверилась рекомендации родственницы и доктору Озерову. Так же хочется выразить благодарность всему коллективу клинике!
Александра, один имплант обошелся мне в 35 тысяч, а там сами считайте сколько Вам их необходимо установить.
Светлана, у меня такая же ситуация, стоят сьемные импланты, хочу поменять, вопрос денег, на какую сумму расчитывать, если можете напишите.
В прошлом году обратилась в клинику прочитав много хороших отзывов на этом сайте. Немного смущали реплики, что возможно пишет отзывы один и тотже человек... Зубы были в ужастном состоянии. Жутко боюсь зубных врачей, поэтому все запустила. Уже не было порядка 5 зубов... Консультация понравилась, но цена показалась очень высокой. Мне сразу распечатали план лечения и полную стоимость, сообщили приблизительные сроки. Подумала, посмотрела цены других клиник, близко к дому (+) и очень понравилось отношение доктора (Озерова Петра Владимировича). Решилась!!! И не пожалела денег, хотя не самые легкие времена были... Примерно через месяц - все зубки в порядке. Примерно через полгода заболел зуб - сомнений не было, только к Петру Владимировичу! Большое спасибо!
Более пяти лет ходила со съемными зубами в нижней челюсти. Решила что так жить больше не могу и поставила прошлой осенью 12 имплантов в нижнюю челюсть. По прошествии полу года мне поставили чудесные белоснежные зубки. От всей души хочу поблагодарить моего лечащего доктора Озерова Петра Владимировича за профессионализм и мою вторую молодость!!!
Тут на сайте написано, что можно сослаться на сайт и сделают скидку, оказывается для этого надо распечатать купон. А клиника и доктор Озеров понравились. Не очень дешево, конечно, но надеюсь, что оно того стоит.
Хочу поблагодарить Внукову Анну Владимировну за мою белоснежную ровную улыбку. Проходить в течении 1,5 лет ортодонтическое лечение у Вас было одно удовольствие. Теперь могу улыбаться во все 32 зуба))))). Спасибо!!!
Была в клинике, подписала договор и мне оформили кредит беспроцентный...Кому интересно спрашивайте, расскажу подробнее.
Маме рекомендовал эту клинику для установки имплантов (прочитав отзывы). Хотя лечение еще полностью не завершено (установлены временные) хотел бы пользуясь случаем сказать слова благодарности персоналу этой клиники. Мама осталась очень довольна качеством лечения и отношением к пациенту. Сейчас маме поставили временные импланты через несколько месяцев будут заменены на постоянные. Свой отзыв я еще дополню, но на данный момент ОГРОМНОЕ СПАСИБО сотрудникам клиники и отдельное СПАСИБО директору этой клиники!
Сегодня пойду ,к доктору Озерову, записалась на 16-00. У меня выпал зубной мост, поставленный еще в СССР, посмотрю, что предложат и сколько будет стоить...Хотя цены не радуют, таких зарплат не получаем, чтобы свободно и спокойно отдать 120-200 тыс.руб.
Хожу на лечение в бионик дентис, а именно к Внуковой Анне Владимировне. Замечательный, чуткий, внимательный доктор. Очень рада, что нашла своего доктора!чего и Вам советую.

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