imaginary number

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imaginary number

n.
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

n
(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


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

(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.
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.
Translations
imaginární číslo
número imaginario
imaginaariluku
nombre imaginaire pur
מספר מרוכב
imaginarni broj
imaginárius számképzetes szám
þvertala
허수
References in periodicals archive ?
But you're right that we are all better off waiting for the 23rd than wasting our time in empty debate about these imaginary numbers."
First, educators will have to figure out how to teach "really hard concepts" like imaginary numbers, quantum physics, or a satisfying interpretation of T.
The Plaid leader said: "This was a fantasy pre-Brexit Budget based on imaginary numbers. Growth remains below 2% for the foreseeable and with the Brexit cloud still looming large these figures may still be very optimistic.
While one abuse is one too many, still the abuses are far less than the imaginary numbers of partisan accusers and publicity seekers," Cayetano was pertaining to occasions when police overstepped its limits of authority and resorted to extrajudicial killings to make its jobs less difficult.
If another axis is added, a vertical (imaginary) axis at x = 0, this will represent the imaginary numbers. Since i = [square root of -1], this also means that [i.sup.2] = -1.
In chapters 13-16, Poythress links fractions, irrationals, and imaginary numbers to God via his three perspectives.
Therefore, the imaginary space, which comprises the space of psychological activity, can be described by imaginary numbers through complex analysis, so that the imaginary space of expression is not only a metaphor, but a real physical space.
When [q.sub.1], [q.sub.e], [m.sub.1], [m.sub.3] are all imaginary numbers, two lump solutions will appear and are demonstrated in Figure 7.
(3) It was not until the 1830s, however, that a consistent account of imaginary numbers would be devised, understanding them eventually in the modern way as ordered pairs of real numbers.
Kristina first drew from literacy-related principles found in the text, then connected this information on activating prior knowledge to promote content area comprehension to an online article that she had found (independently) on imaginary numbers (Azad, 2013), using the principle of prior knowledge in relating imaginary numbers to negative numbers:
They also assume a high-school level of mathematics--trigonometry, matrix algebra, complex and imaginary numbers, and some calculus.