Expressions mathématiques Latex

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Lettres grecques

$$\alpha \; A$$ \alpha A $$\nu \; N$$ \nu N
$$\beta \; B$$ \beta B $$\xi \; \Xi$$ \xi \Xi
$$\gamma \; \Gamma$$ \gamma \Gamma $$o \; O$$ o O
$$\delta \; \Delta$$ \delta \Delta $$\pi \; \varpi \; \Pi$$ \pi \varpi \Pi
$$\epsilon \; \varepsilon\; E$$ \epsilon \varepsilon E $$\rho \; \varrho\; P$$ \rho \varrho P
$$\zeta \; Z$$ \zeta Z $$\sigma \; \varsigma \; \Sigma$$ \sigma \varsigma \Sigma
$$\eta \; H$$ \eta H $$\tau \; T$$ \tau T
$$\theta \; \vartheta \; \Theta$$ \theta \vartheta \Theta $$\upsilon \; \Upsilon$$ \upsilon \Upsilon
$$\iota \; I$$ \iota I $$\phi \; \varphi \; \Phi$$ \phi \varphi \Phi
$$\kappa \; K$$ \kappa K $$\chi \; X$$ \chi X
$$\lambda \; \Lambda$$ \lambda \Lambda $$\psi \; \Psi$$ \psi \Psi
$$\mu \; M$$ \mu M $$\omega \; \Omega$$ \omega \Omega

Lettres hébraïques

Package: amssymb
$$\aleph$$ \aleph $$\beth$$ \beth
$$\daleth$$ \daleth $$\gimel$$ \gimel

Points

$$ \cdotp \; \ldotp$$ \cdotp \ldotp $$ \cdots \; \ldots$$ \cdots \ldots
$$ \colon \; \vdots$$ \colon \vdots $$ \ddots $$ \ddots

Réduction de variable

$$ \bigcap \; \bigcup$$ \bigcap \bigcup $$ \bigsqcup \; \biguplus$$ \bigsqcup \biguplus
$$ \bigwedge \; \bigvee $$ \bigwedge \bigvee $$ \prod \; \coprod$$ \prod \coprod
$$ \int \; \oint$$ \int \oint $$\bigotimes \; \bigodot \; \bigoplus$$ \bigotimes \bigodot \bigoplus
$$ \sum $$ \sum

Accents groupes

$$ \sqrt{abc} $$ \sqrt{abc} $$ \widehat{abc} $$ \widehat{abc}
$$ \overleftarrow{abc} \; \overrightarrow{abc}$$ \overleftarrow{abc} \overrightarrow{abc} $$ \overline{abc} \; \underline{abc}$$ \overline{abc} \underline{abc}
$$ \overbrace{abc} \; \underbrace{abc}$$ \overbrace{abc} \underbrace{abc} $$ \widetilde{abc} $$ \widetilde{abc}

Accents lettres

$$\hat{a} \; \widehat{a}$$ \hat{a} \widehat{a} $$\tilde{a} \; \widetilde{a}$$ \tilde{a} \widetilde{a}
$$\acute{a}$$ \acute{a} $$\grave{a}$$ \grave{a}
$$\vec{a}$$ \vec{a} $$\bar{a}$$ \bar{a}
$$\breve{a}$$ \breve{a} $$\check{a}$$ \check{a}
$$\dot{a}$$ \dot{a} $$\ddot{a}$$ \ddot{a}
$$\dddot{a}$$ \dddot{a} $$\ddddot{a}$$ \ddddot{a}
$$\mathring{a}$$ \mathring{a}

Opérateurs binaires

$$ \times \; \cdot$$ \times \cdot $$ \div \; \setminus $$ \div \setminus
$$ \circ \; \bullet $$ \circ \bullet $$ \ast \; \star $$ \ast \star
$$ \bigcirc $$ \bigcirc $$ \bigtriangleup \; \bigtriangledown $$ \bigtriangleup \bigtriangledown
$$ \diamond $$ \diamond $$ \wr $$ \wr
$$ \amalg $$ \amalg $$ \dagger \; \ddagger $$ \dagger \ddagger
$$ \cup \; \cap$$ \cup \cap $$ \sqcup \; \sqcap$$ \sqcup \sqcap
$$ \pm \; \mp $$ \pm \mp $$ \vee \; \wedge $$ \vee \wedge
$$ \oplus \; \ominus$$ \oplus \ominus $$ \otimes \; \odot$$ \otimes \odot
$$ \oslash $$ \oslash $$ \uplus $$ \uplus
Package: amssymb
$$\intercal$$ \intercal $$\Cup \; \Cap$$ \Cup \Cap
$$\curlyvee \; \curlywedge$$ \curlyvee \curlywedge $$\veebar \; \barwedge \; \doublebarwedge$$ \veebar \barwedge \doublebarwedge
$$\boxplus \; \boxminus$$ \boxplus \boxminus $$\boxtimes \; \boxdot$$ \boxtimes \boxdot
$$\circleddash \; \circledast \; \circledcirc$$ \circleddash \circledast \circledcirc $$\backepsilon$$ \backepsilon
$$\rtimes \; \ltimes$$ \rtimes \ltimes $$\leftthreetimes \; \rightthreetimes$$ \leftthreetimes \rightthreetimes
$$\smallsetminus$$ \smallsetminus $$\divideontimes$$ \divideontimes
$$\centerdot$$ \centerdot $$\dotplus$$ \dotplus

Divers

$$ \forall \; \exists $$ \forall \exists $$\in \; \ni$$ \in \ni
$$\bot \; \top$$ \bot \top $$ \partial \; \Re $$ \partial \Re
$$\imath \; \jmath \; \ell$$ \imath \jmath \ell $$\Im \; \hbar \; \wp$$ \Im \hbar \wp
$$ \infty $$ \infty $$ \surd $$ \surd
$$ \triangle $$ \triangle $$ \nabla $$ \nabla
$$ \emptyset $$ \emptyset $$ \backslash $$ \backslash
$$ \neg $$ \neg $$ \angle $$ \angle
$$ \prime $$ \prime $$ \natural \; \sharp$$ \natural \sharp
$$ \clubsuit \; \spadesuit $$ \clubsuit \spadesuit $$ \diamondsuit \; \heartsuit $$ \diamondsuit \heartsuit
Package: latexsym
$$ \Box \; \Diamond $$ \Box \Diamond $$ \mho $$ \mho
Package: amssymb
$$\nexists$$ \nexists $$\notin$$ \notin
$$\hslash \; \eth$$ \hslash \eth $$\complement \; \Bbbk \; \Finv$$ \complement \Bbbk \Finv
$$\backprime$$ \backprime $$\varnothing$$ \varnothing
$$\Game$$ \Game $$\diagup \diagdown$$ \diagup \diagdown
$$\blacktriangle \blacktriangledown$$ \blacktriangle \blacktriangledown $$\vartriangle \triangledown$$ \vartriangle \triangledown
$$\square \lozenge$$ \square \lozenge $$\blacksquare \blacklozenge$$ \blacksquare \blacklozenge
$$\measuredangle \sphericalangle$$ \measuredangle \sphericalangle $$\circledS \; \bigstar$$ \circledS \bigstar

Inégalités

$$= \; \equiv \; \neq \; \doteq$$ = \equiv \neq \doteq $$ \sim \; \approx \; \simeq \; \cong$$ \sim \approx \simeq \cong
$$> \; \geq \; \gg$$ > \geq \gg $$< \; \leq \; \ll$$ < \leq \ll
$$\not> \; \not\geq \; \not\gg$$ \not> \not\geq \not\gg $$\not< \; \not\leq \; \not\ll$$ \not< \not\leq \not\ll
Package: amssymb
$$\thicksim \; \thickapprox$$ \thicksim \thickapprox $$\backsim \; \backsimeq \; \approxeq$$ \backsim \backsimeq \approxeq
$$\doteqdot \; \fallingdotseq \; \risingdotseq$$ \doteqdot \fallingdotseq \risingdotseq $$\eqcirc \; \circeq \; \triangleq$$ \eqcirc \circeq \triangleq
$$\gtrdot \; \geqq \; \ggg$$ \gtrdot \qegg \ggg $$\geqslant \; \eqslantgtr$$ \geqslant \eqslantgtr
$$\lessdot \; \leqq \; \lll$$ \lessdot \leqq \lll $$\leqslant \; \eqslantless$$ \leqslant \eqslantless
$$\gtrsim \; \gtrapprox$$ \gtrsim \gtrapprox $$\lesssim \; \lessapprox$$ \lesssim \lessapprox
$$\gtrless \; \gtreqless \; \gtreqqless$$ \gtrless \gtreqless \gtreqqless $$\lessgtr \; \lesseqgtr \; \lesseqqgtr$$ \lessgtr \lesseqgtr \lesseqqgtr
$$\ngtr \; \ngeq \; \ngeqq \; \ngeqslant$$ \ngtr \ngeq \ngeqq \ngeqslant $$\gneq \; \gneqq \; \gvertneqq$$ \gneq \gneqq \gvertneqq
$$\nless \; \nleq \; \nleqq \; \nleqslant$$ \nless \nleq \nleqq \nleqslant $$\lneq \; \lneqq \; \lvertneqq$$ \lneq \lneqq \lvertneqq
$$\gnsim \; \gnapprox$$ \gnsim \gnapprox $$\lnsim \; \lnapprox$$ \lnsim \lnapprox
$$\nsim \; \ncong$$ \nsim \ncong

Ordres

$$ \prec \; \preceq$$ \prec \preceq $$ \succ \; \succeq$$ \succ \succeq
Package: amssymb
$$\preccurlyeq \; \curlyeqprec$$ \preccurlyeq \curlyeqprec $$\succcurlyeq \; \curlyeqsucc$$ \succcurlyeq \curlyeqsucc
$$\precsim \; \precapprox$$ \precsim \precapprox $$\succsim \; \succapprox$$ \succsim \succapprox
$$\nprec \; \npreceq \; \precneqq$$ \nprec \npreceq \precneqq $$\nsucc \; \nsucceq \; \succneqq$$ \nsucc \nsucceq \succneqq
$$\precnsim \; \precnapprox$$ \precnsim \precnapprox $$\succnsim \; \succnapprox$$ \succnsim \succnapprox

Ensembles

$$ \subset \; \subseteq$$ \subset \subseteq $$ \supset \; \supseteq$$ \supset \supseteq
Package: latexsym
$$ \sqsubseteq $$ \sqsubseteq $$ \sqsupseteq $$ \sqsupseteq
Package: amssymb
$$\subseteqq \; \Subset$$ \subseteqq \Subset $$\supseteqq \; \Supset$$ \supseteqq \Supset
$$\nsubseteq \; \nsubseteqq$$ \nsubseteq \nsubseteqq $$\nsupseteq \; \nsupseteqq$$ \nsupseteq \nsupseteqq
$$\subsetneq \; \subsetneqq$$ \subsetneq \subsetneqq $$\supsetneq \; \supsetneqq$$ \supsetneq \supsetneqq
$$\varsubsetneq \; \varsubsetneqq$$ \varsubsetneq \varsubsetneqq $$\varsupsetneq \; \varsupsetneqq$$ \varsupsetneq \varsupsetneqq

Sous-groupes

$$ \triangleleft$$ \triangleleft $$\triangleright$$ \triangleright
Package: latexsym
$$ \lhd \; \unlhd$$ \lhd \unlhd $$ \rhd \; \unrhd$$ \rhd \unrhd
Package: amssymb
$$\vartriangleleft \; \trianglelefteq$$ \vartriangleleft \trianglelefteq $$\vartriangleright \; \trianglerighteq$$ \vartriangleright \trianglerighteq
$$\ntriangleleft \ntrianglelefteq$$ \ntriangleleft \ntrianglelefteq $$\ntriangleright \ntrianglerighteq$$ \ntriangleright \ntrianglerighteq
$$\blacktriangleleft$$ \blacktriangleleft $$\blacktriangleright$$ \blacktriangleright

Géométrie

$$ \parallel \; \perp \; \mid$$ \parallel \perp \mid
Package: amssymb
$$\shortparallel \; \shortmid$$ \shortparallel \shortmid $$\nshortmid \; \nshortparallel$$ \nshortmid \nshortparallel
$$\nmid \; \nparallel$$ \nmid \nparallel

Autres relations

$$ \vdash \; \dashv \; \models $$ \vdash \dashv \models $$ \smile \; \frown \; \asymp$$ \smile \frown \asymp
$$ \propto $$ \propto $$ \bowtie $$ \bowtie
Package: amssymb
$$\vDash \; \Vdash \; \Vvdash$$ \vDash \Vdash \Vvdash $$\smallsmile \; \smallfrown$$ \smallsmile \smallfrown
$$\pitchfork$$ \pitchfork $$\between$$ \between
$$\bumpeq \; \Bumpeq$$ \bumpeq \Bumpeq $$\therefore \; \because$$ \therefore \because
$$\nvdash \; \nvDash$$ \nvdash \nvDash $$\nVdash \; \nVDash$$ \nVdash \nVDash

Fonctions

$$ \sin \; \arcsin \; \sinh$$ \sin \arcsin \sinh $$ \cos \; \arccos \; \cosh$$ \cos \arccos \cosh
$$ \tan \; \arctan \; \tanh$$ \tan \arctan \tanh $$ \sec \; \csc $$ \sec \csc
$$ \cot \; \coth$$ \cot \coth $$ \arg $$ \arg
$$ \varinjlim \; \varprojlim$$ \varinjlim \varprojlim $$ \varliminf \; \varlimsup$$ \varliminf \varlimsup
$$ \lim \; \limsup \; \liminf$$ \lim \limsup \liminf $$ \min \; \max $$ \min \max
$$ \sup \; \inf$$ \sup \inf $$ \ln \; \log \; \lg$$ \ln \log \lg
$$ \ker \; \dim $$ \ker \dim $$ \gcd $$ \gcd
$$ \det \; \hom \; \Pr $$ \det \hom \Pr $$ \deg $$ \deg
$$ \exp $$ \exp $$ \operatorname{mafonction}(x) $$ \operatorname{mafonction}(x)

Sinon, de nouveeaux noms de fonctions peuvent être crées via \DeclareMathOperator{\nomfonction}{affiche}

%--- preamble
\DeclareMathOperator{\rank}{rank}

%--- body
$$ \rank(x) $$

Flèches

$$ \to \; \mapsto $$ \to \mapsto $$ \longmapsto $$ \longmapsto
$$ \rightarrow \; \Rightarrow $$ \rightarrow \Rightarrow $$\longrightarrow \; \Longrightarrow $$ \longrightarrow \Longrightarrow
$$ \leftarrow \; \Leftarrow $$ \leftarrow \Leftarrow $$ \longleftarrow \; \Longleftarrow$$ \longleftarrow \Longleftarrow
$$ \uparrow \; \Uparrow$$ \uparrow \Uparrow $$\downarrow \; \Downarrow $$ \downarrow \Downarrow
$$ \updownarrow \; \Updownarrow$$ \updownarrow \Updownarrow $$ \searrow \; \swarrow \; \nwarrow \; \nearrow$$ \searrow \swarrow \nwarrow \nearrow
$$ \leftrightarrow \; \Leftrightarrow$$ \leftrightarrow \Leftrightarrow $$ \longleftrightarrow \; \Longleftrightarrow$$ \longleftrightarrow \Longleftrightarrow
$$\rightharpoonup \; \rightharpoondown $$ \rightharpoonup \rightharpoondown $$\leftharpoonup \; \leftharpoondown $$ \leftharpoonup \leftharpoondown
$$ \rightleftharpoons $$ \rightleftharpoons $$ \hookrightarrow \; \hookleftarrow$$ \hookrightarrow \hookleftarrow
Package: latexsym
$$ \leadsto $$ \leadsto
Package: amssymb
$$\leftleftarrows \rightrightarrows$$ \leftleftarrows \rightrightarrows $$\leftrightarrows \rightleftarrows$$ \leftrightarrows \rightleftarrows
$$\Lleftarrow \Rrightarrow$$ \Lleftarrow \Rrightarrow $$\twoheadleftarrow \twoheadrightarrow$$ \twoheadleftarrow \twoheadrightarrow
$$\leftarrowtail \rightarrowtail$$ \leftarrowtail \rightarrowtail $$\looparrowleft \looparrowright$$ \looparrowleft \looparrowright
$$\upuparrows \downdownarrows$$ \upuparrows \downdownarrows $$\upharpoonleft \upharpoonright$$ \upharpoonleft \upharpoonright
$$\downharpoonleft \downharpoonright$$ \downharpoonleft \downharpoonright $$\leftrightsquigarrow \rightsquigarrow$$ \leftrightsquigarrow \rightsquigarrow
$$\multimap$$ \multimap
$$\nleftarrow \; \nrightarrow$$ \nleftarrow \nrightarrow $$\nLeftarrow \; \nRightarrow$$ \nLeftarrow \nRightarrow
$$\nleftrightarrow$$ \nleftrightarrow $$\nLeftrightarrow$$ \nLeftrightarrow

Délimiteurs

$$ \downarrow \; \Downarrow$$ \downarrow \Downarrow $$ \uparrow \; \Uparrow$$ \uparrow \Uparrow
$$ \updownarrow \; \Updownarrow$$ \updownarrow \Updownarrow $$ \langle \; \rangle$$ \langle \rangle
$$ \lceil \; \rceil$$ \lceil \rceil $$ \lfloor \; \rfloor$$ \lfloor \rfloor
$$ \{ \; \} $$ \{ \} $$ \lmoustache \; \rmoustache$$ \lmoustache \rmoustache
$$ \lgroup \; \rgroup$$ \lgroup \rgroup $$ \backslash $$ \backslash
$$ \arrowvert \; \Arrowvert$$ \arrowvert \Arrowvert $$ \bracevert $$ \bracevert
Package: amsmath
$$ \ulcorner \; \urcorner$$ \ulcorner \urcorner $$ \llcorner \; \lrcorner$$ \llcorner \lrcorner

Texte

$$ \mathrm{ABCdef123} $$ \mathrm{ABCdef123}
$$ \mathsf{ABCdef123} $$ \mathsf{ABCdef123}
$$ \mathtt{ABCdef123} $$ \mathtt{ABCdef123}
$$ ABCdef123 $$ \mathnormal{ABCdef123}
$$ \mathbf{ABCdef123} $$ \mathbf{ABCdef123}
$$ \mathit{ABCdef123} $$ \mathit{ABCdef123}

Avec le package amsfonts :

$$ \mathbb{ABCdef123} $$ \mathbb{ABC}
$$ \mathcal{ABCdef123} $$ \mathcal{ABC}
$$ \mathfrak{ABCdef123} $$ \mathfrak{ABC}

Ressources :