imaginary number


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Related to imaginary number: pure imaginary number, complex number

imaginary number

n.
A complex number in which the imaginary part is not zero.

imaginary number

n
(Mathematics) any complex number of the form ib, where i = √–1

imag′inary num′ber


n.
a complex number having its real part equal to zero.
[1905–10]

i·mag·i·nar·y number

(ĭ-măj′ə-nĕr′ē)
A type of complex number in which the multiple of i (the square root of -1) is not equal to zero. Examples of imaginary numbers include 4i and 2 - 3i, but not 3 + 0i (which is just 3). See more at complex number.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.imaginary number - (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
number - 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 sign
real, real number - any rational or irrational number
pure imaginary number - an imaginary number of the form a+bi where a is 0
imaginary part, imaginary part of a complex number - the part of a complex number that has the square root of -1 as a factor
Translations
imaginární číslo
número imaginario
imaginaariluku
nombre imaginaire pur
מספר מרוכב
imaginarni broj
imaginárius számképzetes szám
þvertala
허수
References in periodicals archive ?
It was not until around the turn of the 19th century that a graphical representation of imaginary number was realised first by the Norwegian surveyor Caspar Wessel (1799), then by the Swiss born French mathematician John-Robert Argand (1806), the French mathematician Abbee Adrien-Quentin Buee (1806) and the German mathematician Carl Friedrich Gauss (1831).
Seshadri's metaphor is doubly apt (and multiply complex): improbable as it may seem, the imaginary number (i or [?
With respect to Rauscher and Targ's spacetime model, it is true that you can treat the time difference between two events as a pure imaginary number of the form cti.
It is likely all government agencies will be scrutinized closely in an effort to minimize "waste, fraud, and abuse"--a lovely phrase overused by public officials trying to come up with savings they can't really identify but put an imaginary number on for budget purposes.
Here, i = [square root of -1] is the imaginary number, [alpha] is the charge- mass ratio defined by
The square root of minus one, called an imaginary number, is a very real concept that I have used in research articles in mathematics.
One day, while dialing an imaginary number, she mysteriously hears the voice of another girl on the other end.
The figures referred to an imaginary number of jobs and additional wealth which a reorganisation of government could bring to the region.
She wakes to a mysterious imaginary number who leads into the Land of Mathematics, where she meets Al the Gebra and the other creatures on her journey to meet the Mathematician who can help her return home.
Mathematicians can invent the necessary number, call it an imaginary number, and symbolize it as i for imaginary.
It is an imaginary number that describes the rate at which a variable-rate investment has grown as though it had increased at a steady rate.
Technically speaking, Hawking and Mlodinow suggest that time at the very beginning is an imaginary number (e.