# complex number

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Related to Complex number field: imaginary part

## complex number

n.
Any number of the form a + bi, where a and b are real numbers and i is an imaginary number whose square equals -1.

## complex number

n
(Mathematics) any number of the form a + ib, where a and b are real numbers and i = √–1. See number1
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## com′plex num′ber

n.
a mathematical expression (a + bi) in which a and b are real numbers and i2=−1.
[1825–35]

## com·plex number

(kŏm′plĕks′)
A number that can be expressed in terms of i (the square root of -1). Mathematically, such a number can be written a + bi, where a and b are real numbers. An example is 4 + 5i.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 complex number - (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementnumber - a concept of quantity involving zero and units; "every number has a unique position in the sequence"complex conjugate - either of two complex numbers whose real parts are identical and whose imaginary parts differ only in signreal, real number - any rational or irrational numberpure imaginary number - an imaginary number of the form a+bi where a is 0imaginary part, imaginary part of a complex number - the part of a complex number that has the square root of -1 as a factor
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
komplexní číslo
kompleksa nombro
kompleksiluku
מספר מרוכב
kompleksni broj
komplex szám
tvinntala
numero complesso
복소수
komplekst tall
komplexa tal
karmaşık sayılar
References in periodicals archive ?
Analysis Model in Complex Number Field. Because the gyroscopic effects are usually presented in flexible rotor systems, results of traditional MIMO FRF method include both forward and backward precession modal parameters.
Let (X, ||dot||) be a Banach space over the real or complex number field K, [OMEGA] [member of] [R.sup.n] a measurable set and [rho] : [OMEGA] [right arrow] [0, [infinity]) a Lebesgue integrable function with [[integral].sub.[OMEGA]] [rho] (x) dx = 1.
By [Z.sub.p] we denote the ring of p-adic rational integers, [Q.sub.p] denotes the field of rational numbers, C denotes the complex number field, and [C.sub.p] denotes the completion of algebraic closure of [Q.sub.p].

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