@prefix psr: . @prefix skos: . @prefix dc: . @prefix xsd: . psr: a skos:ConceptScheme . psr:-THPXX327-8 a skos:Concept ; dc:modified "2024-10-18"^^xsd:date ; skos:definition """En mathématiques, le conjugué d'un nombre complexe z est le nombre complexe formé de la même partie réelle que z mais de partie imaginaire opposée.
(Wikipedia, L'Encylopédie Libre, https://fr.wikipedia.org/wiki/Conjugu%C3%A9)"""@fr, """In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, if

{\\\\displaystyle a}

and

{\\\\displaystyle b}

are real numbers then the complex conjugate of

{\\\\displaystyle a+bi}

{\\\\displaystyle a-bi.}

The complex conjugate of

{\\\\displaystyle z}

is often denoted as

{\\\\displaystyle {\\\\overline {z}}}

{\\\\displaystyle z^{*}}

. In polar form, if

{\\\\displaystyle r}

and

{\\\\displaystyle \\\\varphi }

are real numbers then the conjugate of

{\\\\displaystyle re^{i\\\\varphi }}

{\\\\displaystyle re^{-i\\\\varphi }.}

This can be shown using Euler's formula. The product of a complex number and its conjugate is a real number:

{\\\\displaystyle a^{2}+b^{2}}

(or

{\\\\displaystyle r^{2}}

in polar coordinates). If a root of a univariate polynomial with real coefficients is complex, then its complex conjugate is also a root.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Complex_conjugate)"""@en ; skos:exactMatch , ; skos:prefLabel "conjugué complexe"@fr, "complex conjugate"@en ; skos:broader psr:-PFC2HSVT-Z ; skos:inScheme psr: . psr:-PFC2HSVT-Z skos:prefLabel "nombre complexe"@fr, "complex number"@en ; a skos:Concept ; skos:narrower psr:-THPXX327-8 .