Documentation/FR/Math/Operateurs fonctions

Opérateurs et fonctions⧼cite_reference_link⧽

Opérateurs unaires/binaires

$\mathrm {-} a\,$ : -a

$+a\,$ : +a

$\mathrm {\pm } a$ : +-a

$\mathrm {\pm } a$ : plusminus a

$\mathrm {\mp } a$ : -+a

$\mathrm {\mp } a$ : minusplus a

$a\mathrm {\cdot } b$ : a cdot b

$a\mathrm {\times } b$ : a times b

$a\mathrm {\ast } b$ : a * b

${\frac {a}{b}}$ : a over b

$a\mathrm {\div } b$ : a div b

$a\mathrm {/} b\,$ : a / b

$a\mathrm {\circ } b$ : a circ b

$a\mathrm {\setminus } b$ : a bslash b

 : a wideslash b

 : a widebslash b

$\mathrm {\neg } a$ : neg a

$a\mathrm {\wedge } b$ : a and b

$a\mathrm {\wedge } b$ : a & b

$a\mathrm {\vee } b$ : a or b

$a\mathrm {\vee } b$ : a | b

$a\mathrm {\oplus } b$ : a oplus b

$a\mathrm {\ominus } b$ : a ominus b

$a\mathrm {\otimes } b$ : a otimes b

$a\mathrm {\odot } b$ : a odot b

$a\mathrm {\oslash } b$ : a odivide b

$a~bc\,$ : a boper b c

Relations

$a\mathrm {=} b\,$ : a = b

$a\mathrm {\neq } b$ : a <> b

$a\mathrm {\neq } b$ : a neq b

$a<b\,$ : a < b

$a<b\,$ : a lt b

$a\mathrm {\leq } b$ : a <= b

 : a leslant b

$a\mathrm {\leq } b$ : a le b

$a\mathrm {\ll } b$ : a <<b

$a\mathrm {\ll } b$ : a ll b

$a>b\,$ : a gt b

$a>b\,$ : a > b

$a\mathrm {\geq } b$ : a >= b

$a\mathrm {\geq } b$ : a ge b

 : a geslant b

$a\mathrm {\gg } b$ : a>>b

$a\mathrm {\gg } b$ : a gg b

$a\mathrm {\approx } b$ : a approx b

$a\mathrm {\sim } b\,$ : a sim b

$a\mathrm {\simeq } b$ : a simeq b

$a\mathrm {\equiv } b$ : a equiv b

$a\mathrm {\propto } b$ : a prop b

$a\mathrm {\parallel } b$ : a parallel b

$a\mathrm {\perp } b$ : a ortho b

$a\mathrm {|} b\,$ : a divides

$a\mathrm {\nmid } b$ : a ndivides b

$a\rightarrow b$ : a toward b

$a\mathrm {\Leftarrow } b$ : a dlarrow b

$a\mathrm {\Leftrightarrow } b$ : a dlrarrow b

$a\mathrm {\Rightarrow } b$ : a drarrow b

$a\mathrm {\stackrel {\scriptscriptstyle \mathrm {def} }{=}} b$ : a def b

 : a transl b

 : a transr b

Opérateurs d’ensemble

$a\mathrm {\in } b$ : a in b

$a\mathrm {\notin } b$ : a notin b

$a\mathrm {\ni } b$ : a owns b

$a\mathrm {\ni } b$ : a ni b

$a\mathrm {\cap } b$ : a intersection b

$a\mathrm {\cup } b$ : a union b

$a\mathrm {\setminus } b$ : a setminus b

$a\mathrm {/} b\,$ : a slash b

$a\mathrm {\subset } b$ : a subset b

$a\mathrm {\subseteq } b$ : a subseteq b

$a\mathrm {\supset } b$ : a supset b

$a\mathrm {\supseteq } b$ : a supseteq b

$a\mathrm {\not \subset } b$ : a nsubset b

$a\mathrm {\nsubseteq } b$ : a nsubseteq

$a\mathrm {\not \supset } b$ : a nsupset

$a\mathrm {\nsupseteq } b$ : a nsubseteq

$\mathrm {\varnothing }$ : emptyset

$\mathrm {\aleph }$ : aleph

$\mathrm {\mathbb {N} }$ : setN

$\mathrm {\mathbb {Z} }$ : setZ

$\mathrm {\mathbb {Q} }$ : setQ

$\mathrm {\mathbb {R} }$ : setR

$\mathrm {\mathbb {C} }$ : setC

Fonctions

$\left|a\right|$ : abs{a}

$a\mathrm {!} \,$ : fact a

${\sqrt {a}}$ : sqrt{a}

${\sqrt[{a}]{b}}$ : nroot{a}{b}

${a}^{b}\,$ : a^{b}

${\mathrm {e} }^{a}\,$ : func e^{a}

Opérateurs

$\lim a$ : lim a

$\mathrm {lim\;inf} f$ : liminf f

$\mathrm {lim\;sup} f$ : limsup f

 : oper a b

$a~b\,$ : uoper a b

$\mathrm {\sum } a$ : sum a

$\mathrm {\prod } a$ : prod a

$\mathrm {\coprod } a$: coprod a

$\mathrm {\int } a$ : int a

$\mathrm {\iint } a$ : iint a

$\mathrm {\iiint } a$ : iiint a

$\mathrm {\oint } a$ : lint a

 : llint a

 : lllint a

$\mathrm {\sum } _{1}^{10}{n}^{2}$ : sum from 1 to 10 n^2

Attributs

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \acute{a}}  : acute a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \grave{a}}  : grave a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \check{a}}  : check a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \breve{a}}  : breve a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\circ}{a}}  : circle a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot{a}}  : dot a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ddot{a}}  : ddot a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \stackrel{\cdots }{a}}  : dddot a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar{a}}  : bar a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overrightarrow{a}}  : vect a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tilde{a}}  : tilde a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \hat{a}}  : hat a

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overrightarrow{\mathit{abc...}}}  : widevec abc...

 : widetilde abc...

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \widehat{\mathit{abc...}}}  : widehat abc...

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline{\mathit{abc...}}}  : overline abc...

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \underline{\mathit{abc...}}}  : underline abc...

 : overstrike abc...

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \stackrel{d}{\overbrace{\mathit{abc...}}}}  : abc... overbrace d

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \underset{d}{\underbrace{\mathit{abc...}}}}  : abc... underbrace d

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ~}  : phantom a

 : bold a (nbold pour annuler bold)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathit{2}}  : ital 2 (nital pour annuler ital)

 : size 20{a}

 : size +20{a}

 : size -4{a}

 : size *2{a}

 : size /2{a}

 : font fixed a

 : color green a (Liste des couleurs : white, black, cyan, magenta, red, blue, green, yellow)

Parenthèses

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a \,}  : {a} (ensemble 'a')

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left(a\right)}  : (a)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\lbrack }a\mathrm{\rbrack } \,}  : [a]

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\lbrace }a\mathrm{\rbrace } \,}  : lbrace a rbrace

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\langle }a\mathrm{|}b\mathrm{\rangle }}  : langle a mline b rangle

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\lceil }a\mathrm{\rceil }}  : lceil a rceil

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\lfloor }a\mathrm{\rfloor }}  : lfloor a rfloor

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{|}a\mathrm{|} \,}  : lline a rline

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\parallel }a\mathrm{\parallel }} : ldline a rdline

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left(a\right)}  : left ( a right )

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left[a\right]}  : left [ a right ]

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left \lbrace a\right \rbrace}  : left lbrace a right rbrace

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left \langle a\right \rangle}  : left langle a right rangle

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left|a\right|}  : left lline a right rline

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left \Vert a\right \Vert}  : left ldline a right rdline

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{[\![}a\mathrm{]\!]}}  : ldbracket

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\lbrace }a \,}  : left lbrace a right none

Formatage

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}^{b} \,}  : a ^ b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}^{b} \,}  : a sup b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}^{b} \,}  : a rsup b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}_{b} \,}  : a _ b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}_{b} \,}  : a sub b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {a}_{b} \,}  : a rsub b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {}^{b}a \,}  : a lsup b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {}_{b}a \,}  : a lsub b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \stackrel{b}{a}}  : a csup b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \underset{b}{a}}  : a csub b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ~}  : newline

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ~}  : ` (petite espace)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ~}  : ~ (espace)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{array}{c}a\\ b\end{array}}  : binom {a}{b}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{array}{c}a\\ b\\ c\end{array}}  : stack { a # b # c }

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{array}{cc}a& b\\ c& d\end{array}}  : matrix{a # b ## c # d}

 : alignl 1 over {1+a}

 : alignc 1 over {1+a}

 : alignr 1 over {1+a}

Autres

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\infty }} : infinity ou infty

$\mathrm {\partial }$ : partial

$\mathrm {\nabla }$ : nabla

$\mathrm {\exists }$ : exists

$\mathrm {\forall }$ : forall

$\mathrm {\hslash }$ : hbar

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\lambda\!\!\!{}^{-}}}  : lambdabar

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\Re }}  : Re

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\Im }}  : Im

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\wp }}  : wp

∍ : backepsilon

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \leftarrow }  : leftarrow

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \rightarrow }  : rightarrow

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \uparrow }  : uparrow

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \downarrow }  : downarrow

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dots }  : dotslow (points en bas)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \cdots }  : dotsaxis (points au milieu)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\vdots }}  : dotsvert

 : dotsup

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{\ddots }}  : dotsdown

 : dotsdiag

Présentation

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ~}  : %% a

Ce symbole ouvre une ligne de commentaire

Pour créer un ensemble, il faut utiliser les accolades {}

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⧼cite_references_prefix⧽ ⧼cite_references_link_one⧽ ⧼cite_references_suffix⧽ Chapitre précédent : Annexe 1 Personnalisation

Chapitre suivant : Annexe 3 Symboles prédéfinis

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