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i.e. if 
, or equivalently, 
, then the imaginary part of z 
or 
. The complex function which maps z
In terms of the complex conjugate 
, the imaginary part of z is equal to 
.
For a complex number in polar form, 
, or equivalently, 
, it follows from Euler's formula that 
, and hence that the imaginary part of 
is 
.
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A history of 'The Imaginary Invalid,' Moliere's final offering for the stage. A history of 'The Imaginary Invalid,' Moliere's final offering for the stage ...
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... sites of people who own any kind of imaginary geographic entity: cities, islands, countries, federations of countries ... sites of people who own any kind of imaginary geographic entity: cities, islands, countries, federations of countries ...
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This author has been inventing imaginary places all his life, starting as soon as ... crayon or pencil. This author has been inventing imaginary places all his life, starting as soon as ...
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... of Moliere and of his last comedy--The Imaginary Invalid. An account of the last days of Moliere and of his last comedy--The Imaginary Invalid.
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Malraux's idea of the 'imaginary museum' is developing further through digital technology. Includes ... on visual art. Malraux's idea of the 'imaginary museum' is developing further through digital technology. Includes ...
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Review of The Dictionary of Imaginary Places by Alberto Manguel and Gianni Guadalupi. Review of The Dictionary of Imaginary Places by Alberto Manguel and Gianni Guadalupi.
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Collection of links to online sources about fictional and fanciful travel stories like Gulliver's Travels. Collection of links to online sources about fictional and fanciful travel stories like Gulliver's Travels.
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... that the Asiatic continent projects westward of an imaginary line running from the Gulf of Alexandretta (Issus ... that the Asiatic continent projects westward of an imaginary line running from the Gulf of Alexandretta (Issus ...
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... different kinds of old maps of Jerusalem, "real", imaginary and combinations of the two. Located at the ... different kinds of old maps of Jerusalem, "real", imaginary and combinations of the two. Located at the ...
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Imaginary nation on the European continent. Imaginary nation on the European continent.
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| This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Imaginary part". In the Wikipedia, a list of the autors/history is available. (Archive 06/27/2005) |  |
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