imaginary number

Also found in: Thesaurus, Medical, Legal, Encyclopedia, Wikipedia.
Related to imaginary number: pure imaginary number, complex number

imaginary number

A complex number in which the imaginary part is not zero.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

imaginary number

(Mathematics) any complex number of the form ib, where i = √–1
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

imag′inary num′ber

a complex number having its real part equal to zero.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

i·mag·i·nar·y number

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.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
imaginární číslo
número imaginario
nombre imaginaire pur
מספר מרוכב
imaginarni broj
imaginárius számképzetes szám
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).
Not all brushes with the arcane are necessarily induced onverbal or visual frontiers, defined exclusively through words or images.They can be induced imaginatively, as in "Purgatory, theFilm," or intellectually, as in "Imaginary Number,"the poem that opens the book.
However, since the serial impedance Z is the serial impedance of an inductance and a capacitance, it will be an inductive impedance when [omega][L'.sub.s] > 1/([omega]w[C'.sub.s]) such that [gamma] be a purely imaginary number supporting propagating waves.
Naber carried out the time fractional modification to the Schrodinger equation in analogy with time fractional diffusion equation [19] but included the imaginary number i raised to a fractional power (the fractional degree being the same as the fractional order of the time derivative), implying a sort of the Wick rotation.
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
An imaginary number i is defined as the square root of minus one.
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.
You have reached an imaginary number. Please rotate your phone 90 degrees and try again.