imaginary unit

imaginary unit
the complex number i.
[1905-10]

* * *


Universalium. 2010.

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  • imaginary unit — n. the square root of negative one; √P1: abbrev. i …   English World dictionary

  • Imaginary unit — i in the complex or cartesian plane; real numbers fall on the horizontal axis, and imaginary numbers fall on the vertical axis In mathematics, the imaginary unit allows the real number system ℝ to be extended to the complex number system ℂ, which …   Wikipedia

  • imaginary unit — noun Date: circa 1911 the positive square root of minus 1 denoted by i or + √ 1 …   New Collegiate Dictionary

  • imaginary unit — imag′inary u′nit n. math. the complex number i • Etymology: 1905–10 …   From formal English to slang

  • imaginary unit — noun : the positive square root of minus 1 : +√ 1 symbol i * * * Math. the complex number i. [1905 10] …   Useful english dictionary

  • Unit — may refer to:In mathematics: * Unit vector, a vector with length equal to 1 * Unit circle, the circle with radius equal to 1, centered at the origin * Unit interval, the interval of all real numbers between 0 and 1 * Imaginary unit, i , whose… …   Wikipedia

  • Imaginary number — In mathematics, an imaginary number (or purely imaginary number) is a complex number whose squared value is a real number not greater than zero.Ahlfors, Lars V. Complex Analysis. 3rd Ed. New York: McGraw Hill, 1979. Pages 1 4.] The imaginary unit …   Wikipedia

  • Imaginary part — In mathematics, the imaginary part of a complex number z, is the second element of the ordered pair of real numbers representing z, i.e. if z = (x, y) , or equivalently, z = x+iy, then the imaginary part of z is y. It is denoted by Im (z) or Im{… …   Wikipedia

  • imaginary — adjective Date: 14th century 1. a. existing only in imagination ; lacking factual reality b. formed or characterized imaginatively or arbitrarily < his canvases, chiefly imaginary, somber landscapes Current Biography > 2. containing or relating… …   New Collegiate Dictionary

  • imaginary part — noun the part of a complex number that has the square root of 1 as a factor • Syn: ↑imaginary part of a complex number • Hypernyms: ↑pure imaginary number • Part Holonyms: ↑complex number, ↑complex quantity, ↑ …   Useful english dictionary

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