Definition of Imaginary expression. Meaning of Imaginary expression. Synonyms of Imaginary expression

Here you will find one or more explanations in English for the word Imaginary expression. Also in the bottom left of the page several parts of wikipedia pages related to the word Imaginary expression and, of course, Imaginary expression synonyms and on the right images related to the word Imaginary expression.

Definition of Imaginary expression

Imaginary expression
Imaginary Im*ag"i*na*ry, a. [L. imaginarius: cf. F. imaginaire.] Existing only in imagination or fancy; not real; fancied; visionary; ideal. Wilt thou add to all the griefs I suffer Imaginary ills and fancied tortures? --Addison. Imaginary calculus See under Calculus. Imaginary expression or 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.

Meaning of Imaginary expression from wikipedia

- An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi...
- The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x2 + 1 = 0. Although there is no real number with this property...
- extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2=−1{\displaystyle i^{2}=-1}; every...
- uses the expression "social reality" rather than "social imaginary". In 1975, Cornelius Castoriadis used the term in his book The Imaginary Institution...
- {Log} z} is the logarithm whose imaginary part lies in the interval (−π,π]{\displaystyle (-\pi ,\pi ]}. The expression Log⁡0{\displaystyle \operatorname...
- related to the imaginary part of the optical dielectric function ε(ω). The optical dielectric function is given by the fundamental expression: ε(ω)=1+8π2e2m2∑c...
- imaginary error function (erfi) defined as erfi⁡z=−ierf⁡iz,{\displaystyle \operatorname {erfi} z=-i\operatorname {erf} iz,} where i is the imaginary unit...
- referred to by his surname initials Chauncey the Bear, a imaginary friend in 2024 film Imaginary Carte Bancaire, a bank card brand Christianssands Bryggeri...
- Matsubara) is a technique used to simplify calculations involving Euclidean (imaginary time) path integrals. In thermal quantum field theory, bosonic and fermionic...
- e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine...