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imaginary    音标拼音: [ɪm'ædʒən,ɛri]
a. 想象中的,假想的,虚构的,幻想的;虚数的

想象中的,假想的,虚构的,幻想的;虚数的

imaginary
adj 1: not based on fact; unreal; "the falsehood about some
fanciful secret treaties"- F.D.Roosevelt; "a small
child's imaginary friends"; "to create a notional world
for oneself" [synonym: {fanciful}, {imaginary}, {notional}]
n 1: (mathematics) a number of the form abi where a and b are
real numbers and i is the square root of -1 [synonym: {complex
number}, {complex quantity}, {imaginary number},
{imaginary}]

Imaginary \Im*ag"i*na*ry\, a. [L. imaginarius: cf. F.
imaginaire.]
Existing only in imagination or fancy; not real; fancied;
visionary; ideal.
[1913 Webster]

Wilt thou add to all the griefs I suffer
Imaginary ills and fancied tortures? --Addison.
[1913 Webster]

{Imaginary calculus} See under {Calculus}.

{Imaginary expression} or {Imaginary quantity} (Alg.), an
algebraic expression which involves the impossible
operation of taking the square root of a negative
quantity; as, [root]-9, a b [root]-1.

{Imaginary points}, {lines}, {surfaces}, etc. (Geom.),
points, lines, surfaces, etc., imagined to exist, although
by reason of certain changes of a figure they have in fact
ceased to have a real existence.

Syn: Ideal; fanciful; chimerical; visionary; fancied; unreal;
illusive.
[1913 Webster]


Imaginary \Im*ag"i*na*ry\, n. (Alg.)
An imaginary expression or quantity.
[1913 Webster]

123 Moby Thesaurus words for "imaginary":
Barmecidal, Barmecide, abstract, air-built, airy, algorismic,
algorithmic, aliquot, apparent, apparitional, autistic, cardinal,
chimeric, chimerical, cloud-built, deceptive, decimal, delusional,
delusionary, delusive, delusory, dereistic, differential, digital,
dreamlike, dreamy, erroneous, ethereal, even, exponential,
fallacious, false, fancied, fanciful, fantastic, fatuitous,
fatuous, fictional, fictitious, fictive, figmental, figural,
figurate, figurative, finite, fractional, gaseous, gossamery,
hallucinatory, hypothetical, ideal, illusional, illusionary,
illusive, illusory, imaginational, imaginative, imagined,
immaterial, impair, impossible, infinite, integral, irrational,
legendary, logarithmic, logometric, made-up, merely nominal,
misleading, mythic, mythical, mythological, negative, nonexistent,
not real, notional, numeral, numerary, numerative, numeric, odd,
ordinal, ostensible, pair, phantasmagoric, phantasmal, phantasmic,
phantom, phantomlike, positive, possible, prime, quixotic, radical,
rarefied, rational, real, reciprocal, seeming, self-deceptive,
self-deluding, shadowy, specious, spectral, spirituous,
submultiple, subtile, subtle, supposititious, surd, tenuous,
transcendental, unactual, unfounded, unreal, unrealistic,
unsubstantial, untrue, vaporous, visional, visionary, windy


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  • A brief history of imaginary complex numbers - William Mary
    Imaginary numbers are a dificult idea to comprehend, since they don’t have as natural of an application to the real world as, for example, the counting numbers Naturally, we ask, how did people discover complex numbers in the first place?
  • Microsoft Word - Complex Numbers and Powers of i. docx
    Imaginary Number – any number that can be written in the form + , and are real numbers and ≠ 0 , where and are real numbers (Note: and both can be 0 ) The union of the set of all imaginary numbers and the set of all real numbers is the set of complex numbers
  • The Reality of the Complex: The Discovery and Development of
    Leibniz’s mathematics regarding complex numbers not only brought about a more modern representation of imaginary quantities and expressions, but his discoveries about the complex provided an even deeper understanding of algebraic properties such and binomi conjugates
  • Imaginary and Complex Numbers - Math Plane
    Imaginary and Complex Numbers Notes, Examples, and Practice Quiz (with Solutions) Topics include i, conjugates, order of operations, quadratic formula, and more
  • Concepts and Examples Imaginary Numbers and Complex Numbers
    We will now discuss imaginary numbers and complex numbers Of note is that imaginary numbers most often occur given radicals with even index and negative radicands We briefly mentioned imaginary numbers earlier when we tried to evaluate −4 with a calculator and we were told “Domain Error ”
  • Working with Imaginary Numbers - St. Cloud Technical and . . .
    The general form of a solution to a quadratic equation with an imaginary number as part of the solution is ± , where and are both real numbers We will see this through the following examples





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