purely imaginary number
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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 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
purely imaginary — adjective Of a number, having real part equal to zero … Wiktionary
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
Number — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… … 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 — adj. VERBS ▪ be ADVERB ▪ completely, entirely, purely, wholly ▪ The characters in this book are purely imaginary. ▪ … Collocations dictionary
Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… … Wikipedia
Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… … Wikipedia
Dual number — For dual grammatical number found in some languages, see Dual (grammatical number). In linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). The collection of dual… … Wikipedia
