Complex Number

Definition: Complex Number

Complex Number

Noun

1. A number of the form a+bi where a and b are real numbers and i is the square root of -1.

Specialty Definition: Complex Number

Domain	Definition
Computing	Complex number A number of the form x+iy where i is the square root of -1, and x and y are real numbers, known as the "real" and "imaginary" part. Complex numbers can be plotted as points on a two-dimensional plane, known as an Argand diagram, where x and y are the Cartesian coordinates. An alternative, polar notation, expresses a complex number as (r e^it) where e is the base of natural logarithms, and r and t are real numbers, known as the magnitude and phase. The two forms are related: r e^it = r cos(t) + i r sin(t) = x + i y where x = r cos(t) y = r sin(t) All solutions of any polynomial equation can be expressed as complex numbers. This is the so-called Fundamental Theorem of Algebra, first proved by Cauchy. Complex numbers are useful in many fields of physics, such as electromagnetism because they are a useful way of representing a magnitude and phase as a single quantity. (1995-04-10). Source: The Free On-line Dictionary of Computing.
Source: compiled by the editor from various references; see credits.

Synonyms within Context: Complex Number

Context	Synonyms within Context (source: adapted from Roget's Thesaurus).
Number	Sum, difference, complement, subtrahend; product; multiplicand, multiplier, multiplicator; coefficient, multiple; dividend, divisor, factor, quotient, submultiple; fraction, rational number; surd, irrational number; transcendental number; mixed number, complex number, complex conjugate; numerator, denominator; decimal, circulating decimal, repetend; common measure, aliquot part; prime number, prime, relative prime, prime factor, prime pair; reciprocal; totient.
Source: adapted from Roget's Thesaurus.

Commercial Usage: Complex Number

Domain	Title
Books	Pre-Math: The Success Training Program of Increasingly Complex Number Skills (reference) (more book examples)
Source: compiled by the editor from various references; see credits.

Photo Album: Complex Number

Thumbnail	Description & Credit
	Complex Number 17 at Cape Canaveral where TIROS-carrying Thor-Delta rockets were launched. Credit: NOAA in Space.
Source: pictures compiled by the editor from various references; see picture credits.

Expression: Complex Number

Frequency of Internet Keywords: Complex Number

Modern Translation: Complex Number

Language		Translations for "complex number"; alternative meanings/domain in parentheses.
Danish		komplekst tal. (various references)

Dutch		complex getal. (various references)

Finnish		kompleksiluku. (various references)

French		nombre complexe. (various references)

German		komplexe Zahl. (various references)

Italian		numero complesso (imaginary number). (various references)

Japanese Kanji		虚数 (imaginary part). (various references)

Japanese Katakana		きょすう (imaginary part). (various references)

Manx		earroo conrieugh. (various references)

Pig Latin		omplexcay umbernay

Russian		комплексное число. (various references)

Spanish		número complejo. (various references)

Swedish		komplext tal. (various references)
Source: compiled by the editor from various translation references.

Anagrams: Complex Number

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "b-c-e-e-l-m-m-n-o-p-r-u-x"
	-4 letters: complexer, lumbermen.
	-5 letters: comember, encumber, exemplum, opercule, opulence, recouple.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

Expression	Frequency per Day
complex number	8
complex number system	2
calculator complex number	2
Source: compiled by the editor from various references; see credits.

Complex Number

Definition: Complex Number

Complex Number

Noun

Specialty Definition: Complex Number

Computing

Synonyms: Complex Number

Synonyms within Context: Complex Number

Number

Crosswords: Complex Number

Commercial Usage: Complex Number

Books

Photo Album: Complex Number

Expression: Complex Number

Frequency of Internet Keywords: Complex Number

complex number

complex number system

calculator complex number

Modern Translation: Complex Number

Danish

Dutch

Finnish

French

German

Italian

Japanese Kanji

Japanese Katakana

Manx

Pig Latin

Russian

Spanish

Swedish

Anagrams: Complex Number

Scrabble® Enable2K-Verified Anagrams

INDEX

Expression using "complex number": imaginary part of a complex number. Additional references.
Source: compiled by the editor from various references; see credits.