L A TEX and AMS-L A TEX Symbols



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Transcription:

L A TEX and AMS-L A TEX Symbols March 17, 2008

I About This Document LATEX This document lists symbols in standard LaTeX, AMS-L A TEX and a few additional packages. The document is optimized for viewing on a computer. I recommend using it full screen (Ctrl+L for Acrobat) and then navigating by clicking the sidebar. You may reach the latest version of this file (and also another file using Txfonts) at academic.cankaya.edu.tr/~sermutlu. Copyright Notice You may download, upload, post, use and distribute this pdf file freely, provided that you do not add or delete material, split, merge or in any other way modify the file. This file is provided as is, with no warranties implied.

II Note About Packages LATEX I did not separate the the AMS-L A TEX symbols from the standard ones. Do not forget the include \usepackage{amsmath,amssymb,latexsym} before \begin{document} to be able to use these symbols. In the section Extra, I have included the packages,, and to give a taste of the rich world of L A TEX. You need to install packages and then write \usepackage{packagename} to access these symbols. (If you are using MiKTeX, it will install packages automatically at first usage.) There are many more packages and thousands of symbols not included here. I recommend Scott Pakin s The Comprehensive LaTeX Symbol List for a complete listing. (It can be reached at www.ctan.org).

III About the Author LATEX Prepared by Dr., Department of Mathematics and Computer Science, Çankaya University, Ankara-Turkey. I started this project for my personal needs, as it was unfeasible to browse books or search the internet every time I needed an unfamiliar symbol. I am using a computer whenever I am using L A TEX, so I needed a file optimized for viewing on screen, not printing on paper. I am a fan of Beamer, which is a wonderful class for preparing Power-Point like presentations in L A TEX. You are currently seeing the power of Beamer. You can learn more about it at: http://latex-beamer.sourceforge.net Please report errors, omissions, suggestions and any other kind of feedback to sermutlu@cankaya.edu.tr.

Symbols I LATEX $ \$ & \& # \# % \% { \{ } \} \- \P \S \dag \ddag ı \i j \j BB \t{bb} Ü \"{U} İ \.{I} G \~{G} A \H{A} Ò \ {O} Ĉ \^{C} Č \v{c} T \r{t} Ṕ \ {P} M \u{m} N \={N} Ē \b{e} Ş \c{s} F. \d{f} \copyright R \circledr ao \textcircled{a} \texttrademark \checkmark \pounds \maltese ˆ \textbullet \ \textbackslash \textbar \_ \textendash \textemdash < \textless > \textgreater

Symbols II LATEX... \dots l \l L \L ø \o Ø \O å \aa Å \AA ß \ss SS \SS æ \ae Æ \AE œ \oe Œ \OE \textasciitilde ˆ \textasciicircum \textexclamdown \textquestiondown \textquoteleft \textquoteright \textquotedblleft \textquotedblright \textvisiblespace º \textordmasculine ª \textordfeminine * \textasteriskcentered \textperiodcentered

Math Symbols Some of these symbols may appear at other tables for user convenience LATEX \neq \leqslant \geqslant \approx \equiv = \cong \simeq \partial \infty \nabla ℵ \aleph l \ell \vee \wedge \forall \exists ± \pm \mp \times \div \cup \cap \in / \notin \ \setminus \varnothing \subset \supset \cdot \centerdot \copyright \maltese \to \iff $ \$ \pounds % \% & \& { \{ } \} \_ \P \S \ast \dag \ddag \bullet \wr

Letters α \alpha β \beta γ \gamma δ \delta λ \lambda ω \omega ψ \psi χ \chi ρ \rho ɛ \epsilon κ \kappa π \pi φ \phi σ \sigma θ \theta υ \upsilon ξ \xi τ \tau ι \iota η \eta ζ \zeta µ \mu ν \nu ϱ \varrho ε \varepsilon κ \varkappa ϖ \varpi ϕ \varphi ς \varsigma ϑ \vartheta

and Hebrew Letters Γ \Gamma \Delta Λ \Lambda Ω \Omega Π \Pi Φ \Phi Ψ \Psi Σ \Sigma Θ \Theta Υ \Upsilon Ξ \Xi Ϝ \digamma Γ \vargamma \vardelta Λ \varlambda Ω \varomega Π \varpi Φ \varphi Ψ \varpsi Σ \varsigma Θ \vartheta Υ \varupsilon Ξ \varxi ℵ \aleph ℶ \beth ג \gimel ℸ \daleth

Operations I \oplus \ominus \otimes \odot \oslash \circ \bigcirc \circledcirc \circleddash \circledast \amalg \cup \Cup \sqcup \leftthreetimes \uplus \boxplus \boxminus \boxtimes \boxdot \divideontimes \intercal \dotplus \ \setminus \smallsetminus \centerdot \diamond \cap \Cap \sqcap \rightthreetimes \backepsilon

Operations II \vee \curlyvee \veebar \ltimes \rtimes \dashv \vdash \vdash \Vdash = \models \Vvdash \bowtie \Join \because \therefore & \And \wedge \curlywedge \barwedge \doublebarwedge \dagger \ddagger \nvdash \nvdash \nvdash \nvdash \pitchfork \smile \smallsmile \frown \smallfrown \bullet

Relations I = \cong \preccurlyeq \curlyeqprec \prec \preceq \precapprox \precsim \succ \succeq \succapprox \succsim \ncong \succcurlyeq \curlyeqsucc \nprec \npreceq \precnapprox \precnsim \nsucc \nsucceq \succnapprox \succnsim

Relations II \mid \shortmid \parallel \shortparallel \sim \thicksim \simeq \backsim \backsimeq \approx \thickapprox \approxeq \equiv \propto \varpropto \multimap \nmid \nshortmid \nparallel \nshortparallel \nsim. = \doteq \doteqdot \between \asymp \fallingdotseq \risingdotseq \bumpeq \Bumpeq \circeq \eqcirc \perp

Subset Relations \subset \subseteq \subseteqq \sqsubset \sqsubseteq \Subset \nsubseteq \subsetneq \varsubsetneq \nsubseteqq \subsetneqq \varsubsetneqq \supset \supseteq \supseteqq \sqsupset \sqsupseteq \Supset \nsupseteq \supsetneq \varsupsetneq \nsupseteqq \supsetneqq \varsupsetneqq

I < < > > \leqslant \geqslant \leq \geq \leqq \geqq \eqslantless \eqslantgtr \lneq \gneq \nless \ngtr \nleqslant \ngeqslant \nleq \ngeq \nleqq \ngeqq \lneqq \gneqq \lvertneqq \gvertneqq

II \ll \gg \lesssim \gtrsim \lessapprox \gtrapprox \lessgtr \gtrless \lesseqgtr \gtreqless \lll \ggg \lnsim \gnsim \lnapprox \gnapprox \lessdot \gtrdot \lesseqqgtr \gtreqqless

Triangular Relations Harpoons \bigtriangleup \triangleright \ntriangleright \vartriangleright \rhd \unrhd \trianglerighteq \ntrianglerighteq \blacktriangleright \triangleq \bigtriangledown \triangleleft \ntriangleleft \vartriangleleft \lhd \unlhd \trianglelefteq \ntrianglelefteq \blacktriangleleft \rightharpoonup \rightharpoondown \rightleftharpoons \upharpoonright \downharpoonright \leftharpoonup \leftharpoondown \leftrightharpoons \upharpoonleft \downharpoonleft

I \rightarrow \Rightarrow \longrightarrow = \Longrightarrow \uparrow \Uparrow \nrightarrow \nrightarrow \updownarrow \Updownarrow \nearrow \nwarrow \swarrow \searrow \iff \leftarrow \Leftarrow \longleftarrow = \Longleftarrow \downarrow \Downarrow \nleftarrow \nleftarrow \nleftrightarrow \nleftrightarrow \leftrightarrow \Leftrightarrow \longleftrightarrow \Longleftrightarrow \leftrightsquigarrow

II \rightrightarrows \rightleftarrows \Rrightarrow \hookrightarrow \rightarrowtail \looparrowright \twoheadrightarrow \curvearrowright \circlearrowright \dashrightarrow \Rsh \upuparrows \mapsto \longmapsto \leftleftarrows \leftrightarrows \Lleftarrow \hookleftarrow \leftarrowtail \looparrowleft \twoheadleftarrow \curvearrowleft \circlearrowleft \dashleftarrow \Lsh \downdownarrows \rightsquigarrow \leadsto

Mathematical The following operators have two different sizes LATEX \prod \sum \int \oint \iint \iiint \iiiint \idotsint \coprod \bigcup \bigcap \biguplus \bigsqcup \bigvee \bigwedge \bigoplus \bigotimes \bigodot

Mathematical I LATEX Pure Please note that sinx (sin x) and sin x (\sin x) look totally different. sin cos tan cot sec csc ln dim deg \sin \cos \tan \cot \sec \csc \ln \dim \deg arcsin arccos arctan arg m mod n m mod n m (mod n) m (n) \arcsin \arccos \arctan \arg m\mod n m\bmod n m\pmod n m\pod n sinh cosh tanh coth lg log exp hom ker \sinh \cosh \tanh \coth \lg \log \exp \hom \ker

Mathematical II LATEX with Limits The following functions may take limits below: lim x 0 This is written as: \lim_{x \to 0} min max inf sup det gcd Pr lim \min \max \inf \sup \det \gcd \Pr \lim lim inf lim lim sup lim inj lim lim proj lim lim \liminf \varliminf \limsup \varlimsup \injlim \varinjlim \projlim \varprojlim

Miscellaneous Symbols I I \Im R \Re \wp \top \bot \forall \exists \nexists \neg \in / \notin \ni \complement \hbar ħ \hslash l \ell \partial ð \eth ı \imath j \jmath k \Bbbk Ⅎ \Finv \Game \infty \emptyset \varnothing \angle \measuredangle \sphericalangle \smallint

Miscellaneous Symbols II \nabla \mho \square \Box \triangle \vartriangle \triangledown \lozenge \surd \checkmark \sharp \natural \flat \prime \backprime \mapstochar \ \backslash \diagdown \diagup \blacksquare \Diamond \blacktriangle \blacktriangledown \blacklozenge \heartsuit \diamondsuit \spadesuit \clubsuit \star \bigstar R \circledr S \circleds

Mathematical s I LATEX ABCDEF GHIJKLM N OP QRST UV W XY Z abcdef ghijklmnopqrstuvwxyz 1234567890 ABCDEFGHIJKLMN OPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 ABCDEFGHIJKLMN OPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 \mathnormal{...} \mathrm{...} \mathsf{...}

Mathematical s II LATEX ABCDEFGHIJKLMN OPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 ABCDEFGHIJKLMN OPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 ABCDEFGHIJKLMN OPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 \mathbf{...} \mathit{...} \mathtt{...}

Mathematical s III LATEX ABCDEFGHIJKLMN OPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 ABCDEF GHIJKLMN OP QRST UV W XY Z abcdef ghijklmnopqrstuvwxyz 1234567890 αβπθφψω...... \mathfrak{...} \boldsymbol{...}

Mathematical s IV LATEX A BC DE F G H I J K L M N OPQRS T U V W X Y Z (Include \usepackage{mathrsfs} before \begin{document}) ABCDEFGHIJ KLMN OPQRST UVWX YZ ABCDEFGHIJKLMN OPQRSTUVWXYZ \mathscr{...} \mathcal{...} \mathbb{...}

These are variable sized LATEX ( ( [ [ \vert { \{ \langle \lceil \lfloor \lgroup \lvert \lvert { \lmoustache \arrowvert \ \backslash ) ) ] ] \Vert } \} \rangle \rceil \rfloor \rgroup \rvert \rvert { \rmoustache \Arrowvert \bracevert

- Math Accents \ulcorner \llcorner \uparrow \downarrow \updownarrow \urcorner \lrcorner \Uparrow \Downarrow \Updownarrow ã \tilde{a} â \hat{a} ǎ \check{a} a \vec{a} ā \bar{a} á \acute{a} à \grave{a} ă \breve{a} ȧ \dot{a} ä \ddot{a}... a \dddot{a}... a \ddddot{a} å \mathring{a}

LATEX... \ldots lower dots \cdots center dots... \ddots diagonal dots. \vdots vertical dots........ \dotfill fill with dots... \dots lower or center \dotsm multiplication \dotsi dots for integrals \dotsb dots for binary op.... \dotsc dots after commas... \dotso other dots. \ldotp \cdotp : \colon

Variable Size Constructions {}}{ abc \overbrace{abc} abc }{{} \underbrace{abc} abc \xleftarrow{abc} abc \xrightarrow{abc} abc \sqrt{abc} ãbc \widetilde{abc} âbc \widehat{abc} abc \overline{abc} abc \underline{abc} abc \overrightarrow{abc} abc \overleftarrow{abc} abc \overleftrightarrow{abc} abc \underrightarrow{abc} abc \underleftarrow{abc} abc \underleftrightarrow{abc}

I Include \usepackage{textcomp} before \begin{document} LATEX $ \textdollar \textcent \texteuro \textyen \textsterling \textlira š \textbaht \textguarani \textdong \textnaira \textpeso Ž \textwon \textcurrency Œ \textflorin A \newtie{a} a \newtie{a} Š \textdollaroldstyle \textcentoldstyle \textcolonmonetary _ \textdownarrow \textrightarrow \textleftarrow ^ \textuparrow \textacutedbl \textasciicaron \textasciimacron \textasciiacute \textasciidieresis ƒ \textgravedbl \textasciibreve ` \textasciigrave \textrecipe

II LATEX \textcircledp \textcopyright Ÿ \textservicemark «\textcopyleft \textregistered \texttrademark \textdegree ½ \textonehalf ¼ \textonequarter ¾ \textthreequarters = \textminus ± \textpm ö \textdiv Ö \texttimes» \textsurd 0 \textzerooldstyle 1 \textoneoldstyle 2 \texttwooldstyle 3 \textthreeoldstyle 4 \textfouroldstyle 5 \textfiveoldstyle 6 \textsixoldstyle 7 \textsevenoldstyle 8 \texteightoldstyle 9 \textnineoldstyle ¹ \textonesuperior ² \texttwosuperior ³ \textthreesuperior \textlnot

III LATEX \textbrokenbar \textbardbl \textparagraph O \textpilcrow \textbigcircle \textblank \textdagger \textdaggerdbl œ \textdiscount ~ \texttildelow \textnumero \textestimated \textsection ' \textquotesingle ˆ \textbullet ž \textopenbullet n \textmusicalnote < \textlangle > \textrangle [ \textlbrackdbl ] \textrbrackdbl \textlquill \textrquill \textcelsius µ \textmu W \textohm M \textmho b \textborn c \textdivorced m \textmarried d \textdied l \textleaf

IV LATEX \textreferencemark \textpertenthousand \textperthousand * \textasteriskcentered \textperiodcentered ª \textordfeminine º \textordmasculine / \textfractionsolidus - \textdblhyphen \textdblhyphenchar \textquotestraightbase \textquotestraightdblbase \textinterrobang \textinterrobangdown \textthreequartersemdash \texttwelveudash

p P I Include \usepackage{marvosym} before \begin{document} LATEX \EUR D \EURdig e \EURtm d \EURcr c \EURhv \Pfund \Ecommerce \EyesDollar ˆ \Ankh \Cross \Celtcross Œ \Heart ý \Bat F \FHBOlogo f \FHBOLOGO \FullFHBO \Denarius \Shilling W \Anglesign \Squaredot = \Corresponds \Vectorarrow \Vectorarrowhigh : \MVRightarrow þ \Womanface ÿ \MartinVogel \Bouquet m \Mundus Y \Yinyang \Smiley \Frowny ª \CircledA

II LATEX 0 \MVZero 1 \MVOne 2 \MVTwo 3 \MVThree 4 \MVFour ~ \Female \FEMALE \FemaleFemale \FemaleMale } \Hermaphrodite \Forward \Rewind \ForwardToEnd» \MoveDown º \MoveUp 5 \MVFive 6 \MVSix 7 \MVSeven 8 \MVEight 9 \MVNine \Male \MALE ƒ \MaleMale { \Neutral \HERMAPHRODITE ¼ \ToTop ½ \ToBottom µ \RewindToStart ¹ \ForwardToIndex \RewindToIndex

III  \Mercury à \Venus Ê \Earth Ä \Mars Å \Jupiter Æ \Saturn Ç \Uranus È \Neptune É \Pluto Á \Moon À \Sun à \Aries á \Taurus â \Gemini ã \Cancer ä \Leo å \Virgo æ \Libra ç \Scorpio è \Sagittarius é \Capricorn ê \Aquarius ë \Pisces s \Cutleft q \Cutright S \Leftscissors Q \Rightscissors r \Cutline R \Kutline

IV LATEX h \Biohazard C \CEsign ` \Explosionsafe j \Radioactivity \Lsteel œ \Tsteel š \TTsteel \RoundedTsteel Ÿ \RoundedLsteel \RoundedTTsteel l \Force " \Beam # \Bearing % \Fixedbearing $ \Loosebearing L \Lineload n \BSEfree J \Estatically! \Stopsign a \Laserbeam \Circsteel \Squaresteel \Rectsteel \Hexasteel \Octosteel \Flatsteel \Circpipe \Squarepipe \Rectpipe & \Lefttorque ' \Righttorque

V k \Email t \fax v \Faxmachine E \Lightning A \Pickup z \Emailct u \FAX B \Letter H \Mobilefone T \Telefon i \Info @ \MVAt \Bicycle o \Football Z \Pointinghand V \Checkedbox x \Gentsroom y \Ladiesroom w \Wheelchair U \Clocklogo I \Industry b \Writinghand K \Coffeecup X \Crossedbox Í \ComputerMouse Ñ \ParallelPort Ð \SerialPort Î \SerialInterface Ï \Keyboard Ò \Printer

VI LATEX «\CleaningA ¾ \CleaningF \CleaningFF \CleaningP \CleaningPP \Tumbler \NoTumbler \NoChemicalCleaning Ë \Bleech Ì \NoBleech \IroningI \IroningII ± \IroningIII ² \NoIroning Ø \AtForty Õ \AtSixty Ó \AtNinetyFive Û \ShortThirty Ù \ShortForty \ShortFifty Ö \ShortSixty Ô \ShortNinetyFive Ú \SpecialForty \WashCotton Š \WashSynthetics \WashWool Ü \Handwash Ý \Dontwash

I Include \usepackage{pifont} before \begin{document} \ding{37} \ding{38} \ding{39} \ding{40} \ding{41} \ding{42} \ding{43} \ding{44} \ding{45} \ding{46} \ding{47} \ding{48} \ding{49} \ding{50} \ding{51} \ding{52} \ding{53} \ding{54} \ding{55} \ding{56} \ding{57} \ding{58} \ding{59} \ding{60} \ding{61} \ding{62} \ding{63} \ding{64} \ding{65} \ding{66} \ding{67} \ding{68} \ding{69} \ding{70} \ding{71} \ding{72} \ding{73} \ding{74} \ding{75} \ding{76} \ding{77} \ding{78} \ding{79} \ding{80} \ding{81} \ding{82} \ding{83} \ding{84}

II \ding{85} \ding{86} \ding{87} \ding{88} \ding{89} \ding{90} \ding{91} \ding{92} \ding{93} \ding{94} \ding{95} \ding{96} \ding{97} \ding{98} \ding{99} \ding{100} \ding{101} \ding{102} \ding{103} \ding{104} \ding{105} \ding{106} \ding{107} \ding{108} \ding{109} \ding{110} \ding{111} \ding{112} \ding{113} \ding{114} \ding{115} \ding{116} \ding{117} \ding{118} \ding{119} \ding{120} \ding{121} \ding{122} \ding{123} \ding{124} \ding{125} \ding{126} \ding{161} \ding{162} \ding{163} \ding{164} \ding{165} \ding{166}

III \ding{167} \ding{168} \ding{169} \ding{170} \ding{171} 1 \ding{172} 2 \ding{173} 3 \ding{174} 4 \ding{175} 5 \ding{176} 6 \ding{177} 7 \ding{178} 8 \ding{179} 9 \ding{180} 10 \ding{181} ❶ \ding{182} ❷ \ding{183} ❸ \ding{184} ❹ \ding{185} ❺ \ding{186} ❻ \ding{187} ❼ \ding{188} ❽ \ding{189} ❾ \ding{190} ❿ \ding{191} ➀ \ding{192} ➁ \ding{193} ➂ \ding{194} ➃ \ding{195} ➄ \ding{196} ➅ \ding{197} ➆ \ding{198} ➇ \ding{199} ➈ \ding{200} ➉ \ding{201} ➊ \ding{202} ➋ \ding{203} ➌ \ding{204} ➍ \ding{205} ➎ \ding{206} ➏ \ding{207} ➐ \ding{208} ➑ \ding{209} ➒ \ding{210} ➓ \ding{211}

IV \ding{212} \ding{213} \ding{214} \ding{215} \ding{216} \ding{217} \ding{218} \ding{219} \ding{220} \ding{221} \ding{222} \ding{223} \ding{224} \ding{225} \ding{226} \ding{227} \ding{228} \ding{229} \ding{230} \ding{231} \ding{232} \ding{233} \ding{234} \ding{235} \ding{236} \ding{237} \ding{238} \ding{239} \ding{241} \ding{242} \ding{243} \ding{244} \ding{245} \ding{246} \ding{247} \ding{248} \ding{249} \ding{250} \ding{251} \ding{252} \ding{253} \ding{254} \ding{33} \ding{34} \ding{35} \ding{36}

Include \usepackage{chemarrow} before \begin{document} abc GGGGGGGA def \autorightarrow{abc}{def} abc DGGGGGGG def \autoleftarrow{abc}{def} abc GGGGGGGB FGGGGGGG def \autorightleftharpoons{abc}{def} abc EGGGGGGG GGGGGGGC def \autoleftrightharpoons{abc}{def} A \chemarrow