purely imaginary
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purely imaginary number — noun An imaginary number … Wiktionary
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 — adj. VERBS ▪ be ADVERB ▪ completely, entirely, purely, wholly ▪ The characters in this book are purely imaginary. ▪ … Collocations dictionary
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 number — noun A number of the form ai, where a is a real number and i = minus;1; a complex number whose real part is zero. Syn: purely imaginary number … Wiktionary
imaginary — adj 1 Imaginary, fanciful, visionary, fantastic, chimerical, quixotic are comparable when they are applied to conceptions or to the persons who form the conceptions and mean unreal or unbelievable and out of keeping with things as they are or… … New Dictionary of Synonyms
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 — 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
purely — adv. Purely is used with these adjectives: ↑abstract, ↑academic, ↑accidental, ↑arbitrary, ↑ceremonial, ↑clinical, ↑coincidental, ↑cosmetic, ↑decorative, ↑defensive, ↑descriptive, ↑ … Collocations dictionary
Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia
