L A TEX and AMS-L A TEX Symbols

Transcription

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

2 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.

3 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

4 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: Please report errors, omissions, suggestions and any other kind of feedback to [email protected].

5 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

6 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

7 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

8 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

9 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

10 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

11 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

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

13 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

14 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

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

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

17 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

18 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

19 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

20 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

21 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

22 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

23 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

24 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

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

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

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

28 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{...}

29 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

30 - 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}

31 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

32 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}

33 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

34 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

35 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

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

37 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

38 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

39 III Â \Mercury Ã \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

40 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

41 V k \ t \fax v \Faxmachine E \Lightning A \Pickup z \ ct u \FAX B \Letter H \Mobilefone T \Telefon i \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

42 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

43 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}

44 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}

45 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}

46 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}

47 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