LATEX Mathematical Symbols

LATEX Mathematical Symbols The more unusual symbols are not defined in base LATEX (NFSS) and require \usepackage{amssymb} Greek and Hebrew letters \alpha \beta \chi \delta \epsilon \eta \gamma \iota o ! \psi \rho \sigma \tau \theta \upsilon \xi \zeta z " { ' $ % & # \digamma \varepsilon \varkappa \varphi \varpi \varrho \varsigma \vartheta LATEX math constructs abc xyz f p abc p n abc \kappa \lambda \mu \nu o \omega \phi \pi \frac{abc}{xyz} abc \overline{abc} f abc \underline{abc} \sqrt{abc} \sqrt[n]{abc} c abc f abc \widehat{abc} \widetilde{abc} | \vert \| \Vert { } h i \{ \} \langle \rangle b c d e \lfloor \rfloor \lceil \rceil / \ [ ] ! abc abc z}|{ abc abc |{z} Delimiters | | k k / \backslash [ ] * " + # \Delta \Gamma \Lambda \Omega \Phi \Pi \Psi \Sigma \Theta \Upsilon \Xi @ i k j \aleph \beth \daleth \gimel \overrightarrow{abc} \overleftarrow{abc} \overbrace{abc} \underbrace{abc} \Uparrow \uparrow \Downarrow \downarrow x y p q \llcorner \lrcorner \ulcorner \urcorner Use the pair \lefts1 and \rights2 to match height of delimiters s1 and s2 to the height of their contents, e.g., \left| expr \right| \left\{ expr \right\} \left\Vert expr \right Variable-sized symbols (displayed formulae show larger version) P Q ` \sum \prod \coprod R H RR \int \oint \iint U T S \biguplus \bigcap \bigcup L N J \bigoplus \bigotimes \bigodot W V F \bigvee \bigwedge \bigsqcup Standard Function Names Function names should appear in Roman, not Italic, e.g., arccos cos csc exp ker lim sup sinh \arccos \cos \csc \exp \ker \limsup \min \sinh arcsin cosh deg gcd lg ln Pr sup \arcsin \cosh \deg \gcd \lg \ln \Pr \sup Correct: Incorrect: arctan cot det hom lim log sec tan \tan(at-n\pi) ! tan(at tan(at-n\pi) ! tan(at \arctan \cot \det \hom \lim \log \sec \tan arg coth dim inf lim inf max sin \arg \coth \dim \inf \liminf \max \sin \tanh n) n) Binary Operation/Relation Symbols \ast \star \cdot \circ \bullet \bigcirc \diamond \times \div \centerdot \circledast \circledcirc \circleddash \dotplus \divideontimes q = = ' = / |= \equiv \cong \neq \sim \simeq \approx \asymp \doteq \propto \models u s v w , $ l m + t ; : _ ) * P = \approxeq \thicksim \backsim \backsimeq \triangleq \circeq \bumpeq \Bumpeq \doteqdot \thickapprox \fallingdotseq \risingdotseq \varpropto \therefore \because \eqcirc \neq / n l w b j @ J E C \leqq \leqslant \lessapprox \lll \lessdot \lesssim \eqslantless \precsim \precapprox \Subset \subseteqq \sqsubset \preccurlyeq \curlyeqprec \blacktriangleleft \trianglelefteq \vartriangleleft \ncong \nmid \nparallel \nshortmid \nshortparallel \nsim \nVDash \nvDash \nvdash \ntriangleleft \ntrianglelefteq \ntriangleright \ntrianglerighteq \nleq \nleqq \nleqslant \nless \nprec \npreceq \precnapprox \precnsim \lnapprox \lneq \lneqq \lnsim \lvertneqq ? ã ữ ~ }  u > , / o @ v a \pm \mp \amalg \odot \ominus \oplus \oslash \otimes \wr \Box \boxplus \boxminus \boxtimes \boxdot \square \leq \prec \preceq \ll \subset \subseteq \sqsubset \sqsubseteq \dashv \in \cap \cup \uplus \sqcap \sqcup \wedge \vee \dagger \ddagger \barwedge \curlywedge \Cap \bot \intercal \doublebarwedge C B / E D \ Y g d > i h \lhd \rhd \triangleleft \triangleright \unlhd \unrhd \bigtriangledown \bigtriangleup \setminus \veebar \curlyvee \Cup \top \rightthreetimes \leftthreetimes \geq \succ \succeq \gg \supset \supseteq \sqsupset \sqsupseteq \vdash \ni ? | k / o n n o ^ _ / \perp \mid \parallel \bowtie \Join \ltimes \rtimes \smile \frown \notin = > ' o m & % v c k A < I D B \geqq \geqslant \gtrapprox \ggg \gtrdot \gtrsim \eqslantgtr \succsim \succapprox \Supset \supseteqq \sqsupset \succcurlyeq \curlyeqsucc \blacktriangleright \trianglerighteq \vartriangleright Q S T R ?  G t p a ` \lessgtr \lesseqgtr \lesseqqgtr \gtreqqless \gtreqless \gtrless \backepsilon \between \pitchfork \shortmid \smallfrown \smallsmile \Vdash \vDash \Vvdash \shortparallel \nshortparallel \ngeq \ngeqq \ngeqslant \ngtr \nsucc \nsucceq \succnapprox \succnsim \gnapprox \gneq \gneqq \gnsim \gvertneqq * + " # ( ) $ % \ [ ] u t ^ _ Z f e ? | [ A w ` q / ! & ' \nsubseteq \nsupseteq \nsubseteqq \nsupseteqq \subsetneq \supsetneq \subsetneqq \supsetneqq \varsubsetneq \varsupsetneq \varsubsetneqq \varsupsetneqq Arrow symbols ( ! ) $ , \longleftarrow \Longleftarrow \longrightarrow \Longrightarrow \longleftrightarrow \Longleftrightarrow " * # + l m \uparrow \Uparrow \downarrow \Downarrow \updownarrow \Updownarrow \mapsto \hookleftarrow \leftharpoonup \leftharpoondown \rightleftharpoons ! ,! * + \longmapsto \hookrightarrow \rightharpoonup \rightharpoondown \leadsto % & - \nearrow \searrow \swarrow \nwarrow 99K L99 W " \dashleftarrow \Lleftarrow \looparrowleft \circlearrowleft \upharpoonleft \leftrightsquigarrow \rightrightarrows \rightarrowtail \curvearrowright \downdownarrows \rightsquigarrow \dashrightarrow \leftrightarrows \leftarrowtail \curvearrowleft \upuparrows \multimap \rightleftarrows \twoheadrightarrow \rightleftharpoons \Rsh \downharpoonright \leftleftarrows \twoheadleftarrow \leftrightharpoons \Lsh \downharpoonleft \rightrightarrows \rightleftarrows \looparrowright \circlearrowright \upharpoonright ; \nleftarrow \nRightarrow = \nrightarrow \nleftrightarrow : < \nLeftarrow \nLeftrightarrow } \ ] ^ { O M \wp \angle \measuredangle \sphericalangle \complement \triangledown \triangle \vartriangle \blacklozenge ! y # Miscellaneous symbols r @ g | } ~  ããã = < (= ! =) ! () 7! ( ) x ( \leftarrow \Leftarrow \rightarrow \Rightarrow \leftrightarrow \Leftrightarrow \infty \nabla \partial \eth \clubsuit \diamondsuit \heartsuit \spadesuit \cdots @ ; ? | ` RRRR RRR RR \vdots \ldots \ddots \Im \Re ] [ \ \forall \exists \nexists \emptyset \varnothing \imath \jmath \ell \iiiint k F ` a ~ } \Bbbk \bigstar \diagdown \diagup \Diamond \Finv \Game \hbar \hslash \iiint \iint f \lozenge \mho N \blacksquare \blacktriangle \sharp \flat \natural p \prime \square \surd H s \blacktrinagledown \backprime \circledS Math mode accents a \acute{a} a \bar{a} a \breve{a} a \check{a} a ă \ddot{a} a \dot{a} a ` \grave{a} a \hat{a} a \tilde{a} ~a \vec{a} A A Aăă ` A` A \Acute{\Acute{A}} \Breve{\Breve{A}} \Ddot{\Ddot{A}} \Grave{\Grave{A}} \Tilde{\Tilde{A}} A A A A ~~ A \Bar{\Bar{A}} \Check{\Check{A}} \Dot{\Dot{A}} \Hat{\Hat{A}} \Vec{\Vec{A}} 10 Array environment, examples Simplest version: \begin{array}{cols} row1 \\ row2 \\ rowm \end{array} where cols includes one character [lrc] for each column (with optional characters | inserted for vertical lines) and rowj includes character & a total of (n 1) times to separate the n elements in the row Examples: \left( \begin{array}{cc} 2\tau & 7\phi-frac5{12} \\ 3\psi & \frac{\pi}8 \end{array} \right) \left( \begin{array}{c} x \\ y \end{array} \right) \mbox{~and~} \left[ \begin{array}{cc|r} & & \\ & & 729 \end{array} \right] f(z) = \left\{ \begin{array}{rcl} \overline{\overline{z^2}+\cos z} & \mbox{for} & |z|5 \end{array}\right 11 12 x y and 729 < z + cos z for |z| < f (z) = for |z| : sin z for |z| > Other Styles (math mode only) Caligraphic letters: $\mathcal{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Mathbb letters: $\mathbb{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Mathfrak letters: $\mathfrak{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c Math Sans serif letters: $\mathsf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c Math bold letters: $\mathbf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c Math bold italic letters: define \def\mathbi#1{\textbf{\em #1}} then use $\mathbi{A}$ etc.: ABCDEFGHIJKLMNOPQRSTUVWXYZ abc 123 12 Font sizes R Math Mode: Text Mode: 13 Z f f R R f f (x xa ) dx ${\displaystyle \int f^{-1}(x-x_a)\,dx}$ (x xa ) dx (x xa ) dx (x ${\textstyle \int f^{-1}(x-x_a)\,dx}$ ${\scriptstyle \int f^{-1}(x-x_a)\,dx}$ ${\scriptscriptstyle \int f^{-1}(x-x_a)\,dx}$ xa ) dx \normalsize = normal \large = large \Large = Large \tiny = smallest \scriptsize = very small \footnotesize = smaller \small = small \LARGE = LARGE \huge = \Huge = huge Huge Text Mode: Accents and Symbols o o o ứ ổ \{o} \.{o} \b{o} \o \ae oă o A s ặ \"{o} \u{o} \AA \t s \AE o o a s \^{o} \H{o} \aa \v s \dag o ` o o ò ỉ \{o} \t{oo} \ss \O \ddag o oá ả c \~{o} \c{o} \i \P \copyright o o Đ Ê \={o} \d{o} \j \S \pounds s s s \d s \r s \H s ...6 Binary Operation/Relation Symbols ast star cdot circ ullet igcirc diamond imes div centerdot circledast circledcirc... supsetneq subsetneqq supsetneqq varsubsetneq varsupsetneq varsubsetneqq varsupsetneqq Arrow symbols ( ! ) $ , longleftarrow Longleftarrow longrightarrow Longrightarrow longleftrightarrow... sphericalangle complement riangledown riangle vartriangle lacklozenge ! y # Miscellaneous symbols r @ g | } ~  ããã = < (= ! =) ! () 7! ( ) x ( leftarrow Leftarrow ightarrow Rightarrow