# complex number

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## 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

## 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
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 ?
To recap, any complex number [lambda] + i[mu] can be expressed in polar form as r(cos[theta] + i sin[theta]), where
Addition presents a complication: there is no formula to add two vectors in polar form.
Figure 1 depicts a rectangular plot of an antenna radiation pattern and Figure 2 shows a similar measurement in polar form.

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