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The Comprehensive L A T E X Symbol List Scott Pakin <[email protected]> * 3 January 2008 Abstract This document lists 4947 symbols and the corresponding L A T E X commands that produce them. Some of these symbols are guaranteed to be available in every L A T E X2ε system; others require fonts and packages that may not accompany a given distribution and that therefore need to be installed. All of the fonts and packages used to prepare this document—as well as this document itself—are freely available from the Comprehensive T E X Archive Network (http://www.ctan.org/). Contents 1 Introduction 7 1.1 Document Usage ............................................ 7 1.2 Frequently Requested Symbols .................................... 7 2 Body-text symbols 8 Table 1: L A T E X2 ε Escapable “Special” Characters ........................... 8 Table 2: Predefined L A T E X2 ε Text-mode Commands .......................... 8 Table 3: L A T E X2 ε Commands Defined to Work in Both Math and Text Mode ............ 8 Table 4: A M S Commands Defined to Work in Both Math and Text Mode ............. 8 Table 5: Non-ASCII Letters (Excluding Accented Letters) ...................... 9 Table 6: Letters Used to Typeset African Languages .......................... 9 Table 7: Letters Used to Typeset Vietnamese .............................. 9 Table 8: Punctuation Marks Not Found in OT1 ............................ 9 Table 9: pifont Decorative Punctuation Marks ............................. 9 Table 10: tipa Phonetic Symbols ...................................... 10 Table 11: tipx Phonetic Symbols ...................................... 11 Table 13: wsuipa Phonetic Symbols .................................... 11 Table 14: wasysym Phonetic Symbols ................................... 12 Table 15: phonetic Phonetic Symbols ................................... 12 Table 16: t4phonet Phonetic Symbols ................................... 13 Table 17: semtrans Transliteration Symbols ............................... 13 Table 18: Text-mode Accents ....................................... 13 Table 19: tipa Text-mode Accents ..................................... 13 Table 20: extraipa Text-mode Accents ................................... 15 Table 21: wsuipa Text-mode Accents ................................... 15 Table 22: phonetic Text-mode Accents .................................. 15 Table 23: metre Text-mode Accents .................................... 16 Table 24: t4phonet Text-mode Accents .................................. 16 Table 25: arcs Text-mode Accents ..................................... 16 Table 26: semtrans Accents ......................................... 16 Table 27: wsuipa Diacritics ......................................... 16 Table 28: textcomp Diacritics ....................................... 17 Table 29: textcomp Currency Symbols .................................. 17 Table 30: marvosym Currency Symbols .................................. 17 * The original version of this document was written by David Carlisle, with several additional tables provided by Alexander Holt. See Section 7.7 on page 104 for more information about who did what. 1

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A The Comprehensive L TEX Symbol List Scott Pakin 3 January 2008

AbstractA This document lists 4947 symbols and the corresponding L TEX commands that produce them. Some A of these symbols are guaranteed to be available in every L TEX 2 system; others require fonts and packages that may not accompany a given distribution and that therefore need to be installed. All of the fonts and packages used to prepare this documentas well as this document itselfare freely available from the Comprehensive TEX Archive Network (http://www.ctan.org/).

Contents1 Introduction 1.1 Document Usage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Frequently Requested Symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Body-text symbols A Table 1: L TEX 2 Escapable Special Characters . . . . . . . . . . . . . . . A Table 2: Predened L TEX 2 Text-mode Commands . . . . . . . . . . . . . . A X 2 Commands Dened to Work in Both Math and Text Mode Table 3: L TE Table 4: AMS Commands Dened to Work in Both Math and Text Mode . Table 5: Non-ASCII Letters (Excluding Accented Letters) . . . . . . . . . . Table 6: Letters Used to Typeset African Languages . . . . . . . . . . . . . . Table 7: Letters Used to Typeset Vietnamese . . . . . . . . . . . . . . . . . . Table 8: Punctuation Marks Not Found in OT1 . . . . . . . . . . . . . . . . Table 9: pifont Decorative Punctuation Marks . . . . . . . . . . . . . . . . . Table 10: tipa Phonetic Symbols . . . . . . . . . . . . . . . . . . . . . . . . . . Table 11: tipx Phonetic Symbols . . . . . . . . . . . . . . . . . . . . . . . . . . Table 13: wsuipa Phonetic Symbols . . . . . . . . . . . . . . . . . . . . . . . . Table 14: wasysym Phonetic Symbols . . . . . . . . . . . . . . . . . . . . . . . Table 15: phonetic Phonetic Symbols . . . . . . . . . . . . . . . . . . . . . . . Table 16: t4phonet Phonetic Symbols . . . . . . . . . . . . . . . . . . . . . . . Table 17: semtrans Transliteration Symbols . . . . . . . . . . . . . . . . . . . Table 18: Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . . . . . . Table 19: tipa Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . . . . Table 20: extraipa Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . . Table 21: wsuipa Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . . Table 22: phonetic Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . Table 23: metre Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . . . Table 24: t4phonet Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . Table 25: arcs Text-mode Accents . . . . . . . . . . . . . . . . . . . . . . . . . Table 26: semtrans Accents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Table 27: wsuipa Diacritics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Table 28: textcomp Diacritics . . . . . . . . . . . . . . . . . . . . . . . . . . . Table 29: textcomp Currency Symbols . . . . . . . . . . . . . . . . . . . . . . Table 30: marvosym Currency Symbols . . . . . . . . . . . . . . . . . . . . . . 7 7 7 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 13 13 13 13 15 15 15 16 16 16 16 16 17 17 17

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The original version of this document was written by David Carlisle, with several additional tables provided by Alexander Holt. See Section 7.7 on page 104 for more information about who did what.

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wasysym Currency Symbols . . . . . . . . . eurosym Euro Signs . . . . . . . . . . . . . textcomp Legal Symbols . . . . . . . . . . . cclicenses Creative Commons License Icons textcomp Old-style Numerals . . . . . . . . Miscellaneous textcomp Symbols . . . . . . Miscellaneous wasysym Text-mode Symbols

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3 Mathematical symbols Table 38: Math-Mode Versions of Text Symbols . . . . . Table 39: cmll Unary Operators . . . . . . . . . . . . . . Table 40: Binary Operators . . . . . . . . . . . . . . . . Table 41: AMS Binary Operators . . . . . . . . . . . . . Table 42: stmaryrd Binary Operators . . . . . . . . . . . Table 43: wasysym Binary Operators . . . . . . . . . . . Table 44: txfonts/pxfonts Binary Operators . . . . . . . . Table 45: mathabx Binary Operators . . . . . . . . . . . Table 46: MnSymbol Binary Operators . . . . . . . . . . Table 47: mathdesign Binary Operators . . . . . . . . . . Table 48: cmll Binary Operators . . . . . . . . . . . . . . Table 49: ulsy Geometric Binary Operators . . . . . . . . Table 50: mathabx Geometric Binary Operators . . . . . Table 51: MnSymbol Geometric Binary Operators . . . . Table 52: Variable-sized Math Operators . . . . . . . . . Table 53: AMS Variable-sized Math Operators . . . . . Table 54: stmaryrd Variable-sized Math Operators . . . . Table 55: wasysym Variable-sized Math Operators . . . . Table 56: mathabx Variable-sized Math Operators . . . . Table 57: txfonts/pxfonts Variable-sized Math Operators Table 58: esint Variable-sized Math Operators . . . . . . Table 59: MnSymbol Variable-sized Math Operators . . . Table 60: mathdesign Variable-sized Math Operators . . Table 61: cmll Large Math Operators . . . . . . . . . . . Table 62: Binary Relations . . . . . . . . . . . . . . . . . Table 63: AMS Binary Relations . . . . . . . . . . . . . Table 64: AMS Negated Binary Relations . . . . . . . . Table 65: stmaryrd Binary Relations . . . . . . . . . . . . Table 66: wasysym Binary Relations . . . . . . . . . . . . Table 67: txfonts/pxfonts Binary Relations . . . . . . . . Table 68: txfonts/pxfonts Negated Binary Relations . . . Table 69: mathabx Binary Relations . . . . . . . . . . . . Table 70: mathabx Negated Binary Relations . . . . . . . Table 71: MnSymbol Binary Relations . . . . . . . . . . Table 72: MnSymbol Negated Binary Relations . . . . . Table 73: mathtools Binary Relations . . . . . . . . . . . Table 74: turnstile Binary Relations . . . . . . . . . . . . Table 75: trsym Binary Relations . . . . . . . . . . . . . Table 76: trfsigns Binary Relations . . . . . . . . . . . . Table 77: cmll Binary Relations . . . . . . . . . . . . . . Table 78: Subset and Superset Relations . . . . . . . . . Table 79: AMS Subset and Superset Relations . . . . . . Table 80: stmaryrd Subset and Superset Relations . . . . Table 81: wasysym Subset and Superset Relations . . . . Table 82: txfonts/pxfonts Subset and Superset Relations Table 83: mathabx Subset and Superset Relations . . . . Table 84: MnSymbol Subset and Superset Relations . . . Table 85: Inequalities . . . . . . . . . . . . . . . . . . . . Table 86: AMS Inequalities . . . . . . . . . . . . . . . . 2

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wasysym Inequalities . . . . . . . . . . txfonts/pxfonts Inequalities . . . . . . mathabx Inequalities . . . . . . . . . . MnSymbol Inequalities . . . . . . . . AMS Triangle Relations . . . . . . . stmaryrd Triangle Relations . . . . . . mathabx Triangle Relations . . . . . . MnSymbol Triangle Relations . . . . . Arrows . . . . . . . . . . . . . . . . . Harpoons . . . . . . . . . . . . . . . . textcomp Text-mode Arrows . . . . . AMS Arrows . . . . . . . . . . . . . . AMS Negated Arrows . . . . . . . . . AMS Harpoons . . . . . . . . . . . . stmaryrd Arrows . . . . . . . . . . . . txfonts/pxfonts Arrows . . . . . . . . mathabx Arrows . . . . . . . . . . . . mathabx Negated Arrows . . . . . . . mathabx Harpoons . . . . . . . . . . . MnSymbol Arrows . . . . . . . . . . . MnSymbol Negated Arrows . . . . . . MnSymbol Harpoons . . . . . . . . . . MnSymbol Negated Harpoons . . . . chemarrow Arrows . . . . . . . . . . . fge Arrows . . . . . . . . . . . . . . . MnSymbol Spoons . . . . . . . . . . . MnSymbol Pitchforks . . . . . . . . . MnSymbol Smiles and Frowns . . . . ulsy Contradiction Symbols . . . . . . Extension Characters . . . . . . . . . stmaryrd Extension Characters . . . . txfonts/pxfonts Extension Characters mathabx Extension Characters . . . . Log-like Symbols . . . . . . . . . . . . AMS Log-like Symbols . . . . . . . . Greek Letters . . . . . . . . . . . . . AMS Greek Letters . . . . . . . . . . txfonts/pxfonts Upright Greek Letters upgreek Upright Greek Letters . . . . txfonts/pxfonts Variant Latin Letters AMS Hebrew Letters . . . . . . . . . MnSymbol Hebrew Letters . . . . . . Letter-like Symbols . . . . . . . . . . AMS Letter-like Symbols . . . . . . . txfonts/pxfonts Letter-like Symbols . . mathabx Letter-like Symbols . . . . . MnSymbol Letter-like Symbols . . . . trfsigns Letter-like Symbols . . . . . . mathdesign Letter-like Symbols . . . . fge Letter-like Symbols . . . . . . . . AMS Delimiters . . . . . . . . . . . . stmaryrd Delimiters . . . . . . . . . . mathabx Delimiters . . . . . . . . . . nath Delimiters . . . . . . . . . . . . Variable-sized Delimiters . . . . . . . Large, Variable-sized Delimiters . . . AMS Variable-sized Delimiters . . . .

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stmaryrd Variable-sized Delimiters . . . . . . . . . mathabx Variable-sized Delimiters . . . . . . . . . MnSymbol Variable-sized Delimiters . . . . . . . . mathdesign Variable-sized Delimiters . . . . . . . . nath Variable-sized Delimiters (Double) . . . . . . nath Variable-sized Delimiters (Triple) . . . . . . . textcomp Text-mode Delimiters . . . . . . . . . . metre Text-mode Delimiters . . . . . . . . . . . . Math-mode Accents . . . . . . . . . . . . . . . . . AMS Math-mode Accents . . . . . . . . . . . . . MnSymbol Math-mode Accents . . . . . . . . . . . fge Math-mode Accents . . . . . . . . . . . . . . . yhmath Math-mode Accents . . . . . . . . . . . . Extensible Accents . . . . . . . . . . . . . . . . . overrightarrow Extensible Accents . . . . . . . . . yhmath Extensible Accents . . . . . . . . . . . . . AMS Extensible Accents . . . . . . . . . . . . . . MnSymbol Extensible Accents . . . . . . . . . . . mathtools Extensible Accents . . . . . . . . . . . . mathabx Extensible Accents . . . . . . . . . . . . esvect Extensible Accents . . . . . . . . . . . . . . undertilde Extensible Accents . . . . . . . . . . . . AMS Extensible Arrows . . . . . . . . . . . . . . mathtools Extensible Arrows . . . . . . . . . . . . chemarr Extensible Arrows . . . . . . . . . . . . . chemarrow Extensible Arrows . . . . . . . . . . . . trfsigns Extensible Arrows . . . . . . . . . . . . . extarrows Extensible Arrows . . . . . . . . . . . . extpfeil Extensible Arrows . . . . . . . . . . . . . . holtpolt Non-commutative Division Symbols . . . Dots . . . . . . . . . . . . . . . . . . . . . . . . . AMS Dots . . . . . . . . . . . . . . . . . . . . . . wasysym Dots . . . . . . . . . . . . . . . . . . . . MnSymbol Dots . . . . . . . . . . . . . . . . . . . mathdots Dots . . . . . . . . . . . . . . . . . . . . yhmath Dots . . . . . . . . . . . . . . . . . . . . . mathcomp Math Symbols . . . . . . . . . . . . . . mathabx Mayan Digits . . . . . . . . . . . . . . . . marvosym Digits . . . . . . . . . . . . . . . . . . . fge Digits . . . . . . . . . . . . . . . . . . . . . . . A Miscellaneous L TEX 2 Math Symbols . . . . . . . Miscellaneous AMS Math Symbols . . . . . . . . Miscellaneous wasysym Math Symbols . . . . . . . Miscellaneous txfonts/pxfonts Math Symbols . . . Miscellaneous mathabx Math Symbols . . . . . . . Miscellaneous MnSymbol Math Symbols . . . . . . Miscellaneous Internal MnSymbol Math Symbols . Miscellaneous textcomp Text-mode Math Symbols Miscellaneous marvosym Math Symbols . . . . . . Miscellaneous fge Math Symbols . . . . . . . . . . Miscellaneous mathdesign Math Symbols . . . . . Miscellaneous arev Math Symbols . . . . . . . . . Math Alphabets . . . . . . . . . . . . . . . . . . .

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53 54 54 55 55 55 56 56 56 56 56 56 57 57 57 57 58 58 58 58 59 59 59 59 59 60 60 60 60 60 61 61 61 61 62 62 62 62 62 62 62 63 63 63 63 63 64 64 64 64 64 64 65

4

4 Science and technology symbols Table 197: gensymb Symbols Dened to Work in Both Math and Text Mode Table 198: wasysym Electrical and Physical Symbols . . . . . . . . . . . . . . Table 199: ifsym Pulse Diagram Symbols . . . . . . . . . . . . . . . . . . . . Table 200: ar Aspect Ratio Symbol . . . . . . . . . . . . . . . . . . . . . . . . Table 201: textcomp Text-mode Science and Engineering Symbols . . . . . . Table 202: wasysym Astronomical Symbols . . . . . . . . . . . . . . . . . . . Table 203: marvosym Astronomical Symbols . . . . . . . . . . . . . . . . . . . Table 204: mathabx Astronomical Symbols . . . . . . . . . . . . . . . . . . . Table 205: wasysym APL Symbols . . . . . . . . . . . . . . . . . . . . . . . . Table 206: wasysym APL Modiers . . . . . . . . . . . . . . . . . . . . . . . . Table 207: marvosym Computer Hardware Symbols . . . . . . . . . . . . . . . Table 208: keystroke Computer Keys . . . . . . . . . . . . . . . . . . . . . . . Table 209: ascii Control Characters (CP437) . . . . . . . . . . . . . . . . . . Table 210: marvosym Communication Symbols . . . . . . . . . . . . . . . . . Table 211: marvosym Engineering Symbols . . . . . . . . . . . . . . . . . . . . Table 212: wasysym Biological Symbols . . . . . . . . . . . . . . . . . . . . . Table 213: marvosym Biological Symbols . . . . . . . . . . . . . . . . . . . . . Table 214: marvosym Safety-related Symbols . . . . . . . . . . . . . . . . . . Table 215: feyn Feynman Diagram Symbols . . . . . . . . . . . . . . . . . . . 5 Dingbats Table 216: Table 217: Table 218: Table 219: Table 220: Table 221: Table 222: Table 223: Table 224: Table 225: Table 226: Table 227: Table 228: Table 229: Table 230: Table 231: Table 232: Table 233: Table 234: Table 235: Table 236: Table 237: Table 238: Table 239: Table 240: Table 241: Table 242: Table 243: Table 244: Table 245: Table 246: Table 247: Table 248: Table 249: Table 250: Table 251:

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67 67 67 67 67 67 68 68 68 68 68 69 69 69 69 70 70 70 70 70 71 71 71 71 71 71 71 72 72 72 72 72 72 72 72 73 73 73 73 73 73 74 74 74 74 75 75 75 76 76 76 76 76 76 76 77 77

bbding Arrows . . . . . . . . . . . . . . . . pifont Arrows . . . . . . . . . . . . . . . . . universal Arrows . . . . . . . . . . . . . . . marvosym Scissors . . . . . . . . . . . . . . bbding Scissors . . . . . . . . . . . . . . . . pifont Scissors . . . . . . . . . . . . . . . . dingbat Pencils . . . . . . . . . . . . . . . . bbding Pencils and Nibs . . . . . . . . . . . pifont Pencils and Nibs . . . . . . . . . . . dingbat Fists . . . . . . . . . . . . . . . . . bbding Fists . . . . . . . . . . . . . . . . . pifont Fists . . . . . . . . . . . . . . . . . . bbding Crosses and Plusses . . . . . . . . . pifont Crosses and Plusses . . . . . . . . . bbding Xs and Check Marks . . . . . . . . pifont Xs and Check Marks . . . . . . . . . wasysym Xs and Check Marks . . . . . . . universal Xs . . . . . . . . . . . . . . . . . . pifont Circled Numbers . . . . . . . . . . . wasysym Stars . . . . . . . . . . . . . . . . bbding Stars, Flowers, and Similar Shapes pifont Stars, Flowers, and Similar Shapes . wasysym Geometric Shapes . . . . . . . . . MnSymbol Geometric Shapes . . . . . . . . ifsym Geometric Shapes . . . . . . . . . . . bbding Geometric Shapes . . . . . . . . . . pifont Geometric Shapes . . . . . . . . . . universa Geometric Shapes . . . . . . . . . universal Geometric Shapes . . . . . . . . . igo Go Stones . . . . . . . . . . . . . . . . manfnt Dangerous Bend Symbols . . . . . skull Symbols . . . . . . . . . . . . . . . . . Non-Mathematical mathabx Symbols . . . marvosym Information Symbols . . . . . . . Miscellaneous dingbat Dingbats . . . . . . Miscellaneous bbding Dingbats . . . . . . . 5

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Table 252: Miscellaneous pifont Dingbats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Other symbols Table 253: textcomp Genealogical Symbols . . . . . Table 254: wasysym General Symbols . . . . . . . . . Table 255: wasysym Circles . . . . . . . . . . . . . . Table 256: wasysym Musical Symbols . . . . . . . . . Table 257: arev Musical Symbols . . . . . . . . . . . Table 258: harmony Musical Symbols . . . . . . . . . Table 259: harmony Musical Accents . . . . . . . . . Table 260: Miscellaneous manfnt Symbols . . . . . . Table 261: marvosym Navigation Symbols . . . . . . Table 262: marvosym Laundry Symbols . . . . . . . Table 263: Other marvosym Symbols . . . . . . . . . Table 264: Miscellaneous universa Symbols . . . . . . Table 265: Miscellaneous universal Symbols . . . . . Table 266: ifsym Weather Symbols . . . . . . . . . . Table 267: ifsym Alpine Symbols . . . . . . . . . . . Table 268: ifsym Clocks . . . . . . . . . . . . . . . . Table 269: Other ifsym Symbols . . . . . . . . . . . Table 270: epsdice Dice . . . . . . . . . . . . . . . . Table 271: skak Chess Informator Symbols . . . . . Table 272: metre Metrical Symbols . . . . . . . . . . Table 273: metre Small and Large Metrical Symbols Table 274: phaistos Symbols from the Phaistos Disk Table 275: protosem Proto-Semitic Characters . . . . Table 276: hieroglf Hieroglyphics . . . . . . . . . . . Table 277: dictsym Dictionary Symbols . . . . . . . Table 278: simpsons Characters from The Simpsons Table 279: staves Magical Staves . . . . . . . . . . . 7 Additional Information 7.1 Symbol Name Clashes . . . . . . . . 7.2 Resizing symbols . . . . . . . . . . . 7.3 Where can I nd the symbol for . . . ? 7.4 Math-mode spacing . . . . . . . . . . 7.5 Bold mathematical symbols . . . . . 7.6 ASCII and Latin 1 quick reference . 7.7 About this document . . . . . . . . . 7.8 Copyright and license . . . . . . . . References Index

77 78 78 78 78 78 78 79 79 79 79 80 80 80 80 80 81 81 81 81 82 82 82 83 83 84 84 85 85 87 87 87 87 99 100 100 104 106 106 107

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6

1

Introduction

A A Welcome to the Comprehensive L TEX Symbol List! This document strives to be your primary source of L TEX A symbol information: font samples, L TEX commands, packages, usage details, caveatseverything needed to put thousands of dierent symbols at your disposal. All of the fonts covered herein meet the following criteria:

1. They are freely available from the Comprehensive TEX Archive Network (http://www.ctan.org).A 2. All of their symbols have L TEX 2 bindings. That is, a user should be able to access a symbol by name, not just by \char number . A These are not particularly limiting criteria; the Comprehensive L TEX Symbol List contains samples of 4947 A symbolsquite a large number. Some of these symbols are guaranteed to be available in every L TEX 2 system; others require fonts and packages that may not accompany a given distribution and that therefore need to be installed. See http://www.tex.ac.uk/cgi-bin/texfaq2html?label=instpackages+wherefiles for help with installing new fonts and packages.

1.1

Document Usage

Each section of this document contains a number of font tables. Each table shows a set of symbols, with the A corresponding L TEX command to the right of each symbol. A tables caption indicates what package needs to be loaded in order to access that tables symbols. For example, the symbols in Table 35, textcomp Old-Style Numerals, are made available by putting \usepackage{textcomp} in your documents preamble. AMS means to use the AMS packages, viz. amssymb and/or amsmath. Notes below a table provide additional information about some or all the symbols in that table. One note that appears a few times in this document, particularly in Section 2, indicates that certain symbols do not exist in the OT1 font encoding (Donald Knuths original, 7-bit font encoding, which is the A default font encoding for L TEX) and that you should use fontenc to select a dierent encoding, such as T1 (a common 8-bit font encoding). That means that you should put \usepackage[ encoding ]{fontenc} in your documents preamble, where encoding is, e.g., T1 or LY1. To limit the change in font encoding to the current group, use \fontencoding{ encoding }\selectfont. Section 7 contains some additional information about the symbols in this document. It shows which symbol names are not unique across packages, gives examples of how to create new symbols out of existing symbols, A explains how symbols are spaced in math mode, presents a L TEX ASCII and Latin 1 tables, and provides A some information about this document itself. The Comprehensive L TEX Symbol List ends with an index of all the symbols in the document and various additional useful terms.

1.2

Frequently Requested Symbols

There are a number of symbols that are requested over and over again on comp.text.tex. If youre looking for such a symbol the following list will help you nd it quickly. , as in Spaces are signicant. ` etc. (versus ` and , , , , , , i, ) e ........ ........ 8 13 17 17 18 19 27 30 31 .. . and ......................... 37 62 64 65 65 92 94

.............................. .............. ........................ ......................

............................... .............................. ...................... .............................. .............................. ............................... and .........................

, as in 180 or 15 L, F, etc.

, , and

N, Z, R, etc.

...............................

a e , `, etc. (i.e., several accents per character) , and | (instead of , , and ) and (or )

. . . . . . 100

. . . . . . . . . . . . . . . . . . . . . 101

7

2

Body-text symbols

This section lists symbols that are intended for use in running text, such as punctuation marks, accents, ligatures, and currency symbols.

A Table 1: L TEX 2 Escapable Special Characters

$

\$

%

\%

\_

}

\}

&

\&

#

\#

{

\{

The underscore package redenes _ to produce an underscore in text mode (i.e., it makes it unnecessary to escape the underscore character).

A Table 2: Predened L TEX 2 Text-mode Commands

c

\ | { } $ ... >

\textasciicircum \textasciitilde \textasteriskcentered \textbackslash \textbar \textbraceleft \textbraceright \textbullet \textcopyright \textdagger \textdaggerdbl \textdollar \textellipsis \textemdash \textendash \textexclamdown \textgreater

a o

rTM

<

\textless \textordfeminine \textordmasculine \textparagraph \textperiodcentered \textquestiondown \textquotedblleft \textquotedblright \textquoteleft \textquoteright \textregistered \textsection \textsterling \texttrademark \textunderscore \textvisiblespace

A Where two symbols are present, the left one is the faked symbol that L TEX 2 provides by default, and the right one is the true symbol that textcomp makes available.

Its generally preferable to use the corresponding symbol from Table 3 because the symbols in that table work properly in both text mode and math mode.

A Table 3: L TEX 2 Commands Dened to Work in Both Math and Text Mode

$

\$ \P \S

c

\_ \copyright \dag

...

\ddag \dots \pounds

{ }

\{ \}

A Where two symbols are present, the left one is the faked symbol that L TEX 2 provides by default, and the right one is the true symbol that textcomp makes available.

Table 4: AMS Commands Dened to Work in Both Math and Text Mode \checkmark \circledR 8 \maltese

Table 5: Non-ASCII Letters (Excluding Accented Letters) a A

\aa \AA \AE \ae

\DH \dh \DJ \dj

L l

\L \l \NG \ng

\o \O \OE \oe

SS

\ss \SS \TH \th

Not available in the OT1 font encoding. Use the fontenc package to select an alternate font encoding, such as T1.

\B{D} \B{d} \B{H} \B{h} \B{t} \B{T} \m{b} \m{B} \m{C}

Table 6: Letters Used to Typeset African Languages \m{c} \m{D} \M{d} \M{D} \m{d} \m{E} \m{e} \M{E} \M{e}

\m{f} \m{F} \m{G} \m{g} \m{I} \m{i} \m{J} \m{j} \m{K}

\m{k} \m{N} \m{n} \m{o} \m{O} \m{P} \m{p} \m{s} \m{S}

\M{t} \M{T} \m{t} \m{T} \m{u} \m{U} \m{Y} \m{y} \m{z}

\m{Z} \T{E} \T{e} \T{O} \T{o}

These characters all need the T4 font encoding, which is provided by the fc package.

\m{v} and \m{V} are synonyms for \m{u} and \m{U}.

Table 7: Letters Used to Typeset Vietnamese \OHORN \ohorn \UHORN \uhorn

These characters all need the T5 font encoding, which is provided by the vntex package.

Table 8: Punctuation Marks Not Found in OT1 \guillemotleft \guillemotright \guilsinglleft \guilsinglright \quotedblbase \quotesinglbase " \textquotedbl

To get these symbols, use the fontenc package to select an alternate font encoding, such as T1.

Table 9: pifont Decorative Punctuation Marks \ding{123} \ding{124} d \ding{125} \ding{126} e f \ding{161} \ding{162} g \ding{163}

9

Table 10: tipa Phonetic Symbols b c d g 1 8 0 B X ^ g 2 C J C d S } = / { dz E S \textbabygamma \textbarb \textbarc \textbard \textbardotlessj \textbarg \textbarglotstop \textbari \textbarl \textbaro \textbarrevglotstop \textbaru \textbeltl \textbeta \textbullseye \textceltpal \textchi \textcloseepsilon \textcloseomega \textcloserevepsilon \textcommatailz \textcorner \textcrb \textcrd \textcrg \textcrh \textcrinvglotstop \textcrlambda \textcrtwo \textctc \textctd \textctdctzlig \textctesh \textctj \textctn \textctt \textcttctclig \textctyogh \textctz \textdctzlig \textdoublebaresh \textdoublebarpipe \textdoublebarslash \textdoublepipe \textdoublevertline \textdownstep \textdyoghlig \textdzlig \textepsilon \textesh P ; # H K : M _ O % F | " 7 \ 9 3 Q \textglotstop \texthalflength \texthardsign \texthooktop \texthtb \texthtbardotlessj \texthtc \texthtd \texthtg \texthth \texththeng \texthtk \texthtp \texthtq \texthtrtaild \texthtscg \texthtt \texthvlig \textinvglotstop \textinvscr \textiota \textlambda \textlengthmark \textlhookt \textlhtlongi \textlhtlongy \textlonglegr \textlptr \textltailm \textltailn \textltilde \textlyoghlig \textObardotlessj \textOlyoghlig \textomega \textopencorner \textopeno \textpalhook \textphi \textpipe \textprimstress \textraiseglotstop \textraisevibyi \textramshorns \textrevapostrophe \textreve \textrevepsilon \textrevglotstop \textrevyogh \textrhookrevepsilon $ @ I A g V Y tC T 5 4 W 6 2 L U \textrtailn \textrtailr \textrtails \textrtailt \textrtailz \textrthook \textsca \textscb \textsce \textscg \textsch \textschwa \textsci \textscj \textscl \textscn \textscoelig \textscomega \textscr \textscripta \textscriptg \textscriptv \textscu \textscy \textsecstress \textsoftsign \textstretchc \texttctclig \textteshlig \texttheta \textthorn \texttoneletterstem \texttslig \textturna \textturncelig \textturnh \textturnk \textturnlonglegr \textturnm \textturnmrleg \textturnr \textturnrrtail \textturnscripta \textturnt \textturnv \textturnw \textturny \textupsilon \textupstep \textvertline

(continued on next page)

10

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R G

\textfishhookr \textg \textgamma \textglobfall \textglobrise

~

\textrhookschwa \textrhoticity \textrptr \textrtaild \textrtaill

Z

\textvibyi \textvibyy \textwynn \textyogh

tipa denes shortcut characters for many of the above. It also denes a command \tone for denoting tone letters (pitches). See the tipa documentation for more information.

Table 11: tipx Phonetic Symbols

" B . D 2 % & @ ) H G 7 5 ( ? T U V , 0 4

\textaolig \textbenttailyogh \textbktailgamma \textctinvglotstop \textctjvar \textctstretchc \textctstretchcvar \textctturnt \textdblig \textdoublebarpipevar \textdoublepipevar \textdownfullarrow \textfemale \textfrbarn \textfrhookd \textfrhookdvar \textfrhookt \textfrtailgamma \textglotstopvari \textglotstopvarii \textglotstopvariii \textgrgamma \textheng \texthmlig

3 ; p ! I # < 1 > 6 9 F = v z * + : /

\texthtbardotlessjvar \textinvomega \textinvsca \textinvscripta \textlfishhookrlig \textlhookfour \textlhookp \textlhti \textlooptoprevesh \textnrleg \textObullseye \textpalhooklong \textpalhookvar \textpipevar \textqplig \textrectangle \textretractingvar \textrevscl \textrevscr \textrhooka \textrhooke \textrhookepsilon \textrhookopeno \textrtailhth

q r s t w x y $ P Q R S E u { C A 8

\textrthooklong \textscaolig \textscdelta \textscf \textsck \textscm \textscp \textscq \textspleftarrow \textstretchcvar \textsubdoublearrow \textsubrightarrow \textthornvari \textthornvarii \textthornvariii \textthornvariv \textturnglotstop \textturnsck \textturnscu \textturnthree \textturntwo \textuncrfemale \textupfullarrow

Table 13: wsuipa Phonetic Symbols

3 9 F

\babygamma \barb \bard \bari \barl

V " w h

\eng \er \esh \eth \flapr

R G T i I

\labdentalnas \latfric \legm \legr \lz

! B X t

\schwa \sci \scn \scr \scripta

(continued on next page)

11

(continued from previous page)

` e C Y c ' 5 Q x @ e

\baro \barp \barsci \barscu \baru \clickb \clickc \clickt \closedniomega \closedrevepsilon \crossb \crossd \crossh \crossnilambda \curlyc \curlyesh \curlyyogh \curlyz \dlbari \dz \ejective

) 6 7 & 4 D d 8 s S q u 2

\glotstop \hookb \hookd \hookg \hookh \hookheng \hookrevepsilon \hv \inva \invf \invglotstop \invh \invlegr \invm \invr \invscr \invscripta \invv \invw \invy \ipagamma

$ 1 A P b g y U d a # f % 0

\nialpha \nibeta \nichi \niepsilon \nigamma \niiota \nilambda \niomega \niphi \nisigma \nitheta \niupsilon \nj \oo \openo \reve \reveject \revepsilon \revglotstop \scd \scg

( r H W p v f E

\scriptg \scriptv \scu \scy \slashb \slashc \slashd \slashu \taild \tailinvr \taill \tailn \tailr \tails \tailt \tailz \tesh \thorn \tildel \yogh

Table 14: wasysym Phonetic Symbols D \DH \Thorn \dh \inve \openo \thorn

Table 15: phonetic Phonetic Symbolsj w n x 4 s d p

\barj \barlambda \emgma \engma \enya \epsi \esh \eth \fj

f c f h k u h

\flap \glottal \hausaB \hausab \hausad \hausaD \hausak \hausaK \hookd

i

h m r

\ibar \openo \planck \pwedge \revD \riota \rotm \rotOmega \rotr

e w y e p

uu q

\rotvara \rotw \roty \schwa \thorn \ubar \udesc \vara \varg

i g

v h x

\vari \varomega \varopeno \vod \voicedh \yogh

12

Table 16: t4phonet Phonetic Symbols \textcrd \textcrh \textepsilon \textesh \textfjlig \texthtb \texthtc

\texthtd \texthtk \texthtp \texthtt \textiota \textltailn \textopeno

|

\textpipe \textrtaild \textrtailt \textschwa \textscriptv \textteshlig \textyogh

The idea behind the t4phonet packages phonetic symbols is to provide an interface to some of the characters in the T4 font encoding (Table 6 on page 9) but using the same names as the tipa characters presented in Table 10 on page 10.

Table 17: semtrans Transliteration Symbols \Alif \Ayn

Table 18: Text-mode Accents a A a A Aa a A a A \"{A}\"{a} \{A}\{a} \.{A}\.{a} \={A}\={a} \^{A}\^{a} Aa

`a A`

a A

a A Aa Aa

\{A}\{a} \|{A}\|{a} \~{A}\~{a} \b{A}\b{a} \c{A}\c{a} Aa

Aa ..

a A

a A

\d{A}\d{a} \G{A}\G{a} \h{A}\h{a} \H{A}\H{a} \k{A}\k{a}

a A Aa a A a A

a A

\r{A}\r{a} \t{A}\t{a} \u{A}\u{a} \U{A}\U{a} \v{A}\v{a}

\newtie{A}\newtie{a}

\textcircled{A}\textcircled{a}

Requires the textcomp package. Not available in the OT1 font encoding. Use the fontenc package to select an alternate font encoding, such as T1. Requires the T4 font encoding, provided by the fc package. Requires the T5 font encoding, provided by the vntex package.

Also note the existence of \i and \j, which produce dotless versions of i and j (viz., and ). These are useful when the accent is supposed to replace the dot. For example, na\"{\i}ve produces a correct na ve, while na\"{i}ve would yield the rather odd-looking na ve. (na\"{i}ve does work in encodings other than OT1, however.)

Table 19: tipa Text-mode Accents a A a A \textacutemacron{A}\textacutemacron{a} \textacutewedge{A}\textacutewedge{a}

(continued on next page)

13

(continued from previous page)

Aa A< > Aa a A

\textsyllabic{A}\textsyllabic{a} \texttildedot{A}\texttildedot{a} \texttoptiebar{A}\texttoptiebar{a} \textvbaraccent{A}\textvbaraccent{a}

tipa denes shortcut sequences for many of the above. See the tipa documentation for more information.

Table 20: extraipa Text-mode Accents Aa Aa .. .. a A a A Aa Aa Aa Aa Aa A a \bibridge{A}\bibridge{a} \crtilde{A}\crtilde{a} \dottedtilde{A}\dottedtilde{a} \doubletilde{A}\doubletilde{a} \finpartvoice{A}\finpartvoice{a} \finpartvoiceless{A}\finpartvoiceless{a} \inipartvoice{A}\inipartvoice{a} \inipartvoiceless{A}\inipartvoiceless{a} \overbridge{A}\overbridge{a} \partvoice{A}\partvoice{a} A a A a A a Aa ^^ Aa Aa "" "" Aa Aa Aa \partvoiceless{A}\partvoiceless{a} \sliding{A}\sliding{a} \spreadlips{A}\spreadlips{a} \subcorner{A}\subcorner{a} \subdoublebar{A}\subdoublebar{a} \subdoublevert{A}\subdoublevert{a} \sublptr{A}\sublptr{a} \subrptr{A}\subrptr{a} \whistle{A}\whistle{a}

Table 21: wsuipa Text-mode Accents Aa gg Aa \dental{A}\dental{a} \underarch{A}\underarch{a}

Table 22: phonetic Text-mode Accents Aa{ {

\hill{A}\hill{a} \od{A}\od{a} \ohill{A}\ohill{a}

Aa Aa A.. .. a

\rc{A}\rc{a} \syl{A}\syl{a} \td{A}\td{a}

Aa { { Aa

Aa

\ut{A}\ut{a}

The phonetic package provides a few additional macros for linguistic accents. \acbar and \acarc compose characters with multiple accents; for example, \acbar{\}{a} produces and \acarc{\"}{e} produces . \labvel joins a e two characters with an arc: \labvel{mn} mn. \upbar is intended to go between characters as in x\upbar{}y x y. Lastly, \uplett behaves like \textsuperscript but uses a smaller font. Contrast p\uplett{h} ph with p\textsuperscript{h} ph .

15

Table 23: metre Text-mode Accents Aa Aa Aa Aa `` Aa Aa \acutus{A}\acutus{a} \breve{A}\breve{a} \circumflexus{A}\circumflexus{a} \diaeresis{A}\diaeresis{a} \gravis{A}\gravis{a} \macron{A}\macron{a}

a A a A a A

Table 24: t4phonet Text-mode Accents \textdoublegrave{A}\textdoublegrave{a} \textvbaraccent{A}\textvbaraccent{a} \textdoublevbaraccent{A}\textdoublevbaraccent{a}

The idea behind the t4phonet packages text-mode accents is to provide an interface to some of the accents in the T4 font encoding (accents marked with in Table 18 on page 13) but using the same names as the tipa accents presented in Table 19 on page 13.

Table 25: arcs Text-mode Accents Aa \overarc{A}\overarc{a} Aa \underarc{A}\underarc{a}

The accents shown above scale only to a few characters wide. An optional macro argument alters the eective width of the accented characters. See the arcs documentation for more information.

Table 26: semtrans Accents Aa \D{A}\D{a} aA Aa \U{A}\U{a}

\T{A}\T{a}

\T is not actually an accent but a command that rotates its argument 180 using the graphicx packages \rotatebox command.

Table 27: wsuipa Diacritics

s k u m p

\ain \corner \downp \downt \halflength

v n q { z

\leftp \leftt \length \midtilde \open

x ~ w o i

\overring \polishhook \rightp \rightt \secstress

h j r y |

\stress \syllabic \underdots \underring \undertilde

} t l

\underwedge \upp \upt

The wsuipa package denes all of the above as ordinary characters, not as accents. However, it does provide \diatop and \diaunder commands, which are used to compose diacritics with other characters. For example, \diatop[\overring|a] produces x, and \diaunder[\underdots|a] produces r. See the wsuipa doca a umentation for more information. 16

Table 28: textcomp Diacritics \textacutedbl \textasciiacute \textasciibreve \textasciicaron \textasciidieresis \textasciigrave \textasciimacron \textgravedbl

The textcomp package denes all of the above as ordinary characters, not as accents.

Table 29: textcomp Currency Symbols \textbaht \textcent \textcentoldstyle \textcolonmonetary \textcurrency

$

\textdollar \textdollaroldstyle \textdong \texteuro \textflorin

\textguarani \textlira \textnaira \textpeso \textsterling

\textwon \textyen

Its generally preferable to use the corresponding symbol from Table 3 on page 8 because the symbols in that table work properly in both text mode and math mode.

Table 30: marvosym Currency Symbols \Denarius \Ecommerce e d \EUR \EURcr D c \EURdig \EURhv e \EURtm \EyesDollar \Pfund \Shilling

The dierent euro signs are meant to be visually compatible with dierent fonts Courier (\EURcr), Helvetica (\EURhv), Times Roman (\EURtm), and the marvosym digits listed in Table 182 (\EURdig). The mathdesign package redenes \texteuro to be visually compatible with one of three additional fonts: Utopia ( ), Charter ( ), or Garamond ( ).

Table 31: wasysym Currency Symbols \cent \currency

Table 32: eurosym Euro Signs A C \geneuro B C \geneuronarrow C C \geneurowide e \officialeuro

\euro is automatically mapped to one of the aboveby default, \officialeuro based on a eurosym package option. See the eurosym documentation for more information. The \geneuro. . . characters are generated from the current body fonts C character and therefore may not appear exactly as shown.

17

Table 33: textcomp Legal Symbols \textcircledP \textcopyleft c r \textcopyright \textregisteredTM

\textservicemark \texttrademark

A Where two symbols are present, the left one is the faked symbol that L TEX 2 provides by default, and the right one is the true symbol that textcomp makes available. See http://www.tex.ac.uk/cgi-bin/texfaq2html?label=tradesyms for solutions to common problems that occur when using these symbols (e.g., getting a r when you expected to get a ).

Table 34: cclicenses Creative Commons License Icons\CC

\cc

BY:

\ccby

$

=

\ccnd

These symbols utilize the rotating package and therefore display improperly in most DVI viewers.

Table 35: textcomp Old-style Numerals \textzerooldstyle \textoneoldstyle \texttwooldstyle \textthreeoldstyle \textfouroldstyle \textfiveoldstyle \textsixoldstyle \textsevenoldstyle \texteightoldstyle \textnineoldstyle

Rather than use the bulky \textoneoldstyle, \texttwooldstyle, etc. commands shown above, consider using \oldstylenums{. . .} to typeset an old-style number.

18

C

\ccnc

\ccsa

Table 36: Miscellaneous textcomp Symbols \textasteriskcentered \textbardbl \textbigcircle \textblank \textbrokenbar \textbullet \textdagger \textdaggerdbl \textdblhyphen \textdblhyphenchar \textdiscount \textestimated \textinterrobang \textinterrobangdown \textmusicalnote \textnumero \textopenbulleta o

'

\textordfeminine \textordmasculine \textparagraph \textperiodcentered \textpertenthousand \textperthousand \textpilcrow \textquotesingle \textquotestraightbase \textquotestraightdblbase \textrecipe \textreferencemark \textsection \textthreequartersemdash \texttildelow \texttwelveudash

A Where two symbols are present, the left one is the faked symbol that L TEX 2 provides by default, and the right one is the true symbol that textcomp makes available.

Its generally preferable to use the corresponding symbol from Table 3 on page 8 because the symbols in that table work properly in both text mode and math mode.

Table 37: Miscellaneous wasysym Text-mode Symbols \permil

19

3

Mathematical symbols

Most, but not all, of the symbols in this section are math-mode only. That is, they yield a Missing $ inserted error message if not used within $. . .$, \[. . .\], or another math-mode environment. Operators marked as variable-sized are taller in displayed formulas, shorter in in-text formulas, and possibly shorter still when used in various levels of superscripts or subscripts. Alphanumeric symbols (e.g., L and ) are usually produced using one of the math alphabets in Table 196 rather than with an explicit symbol command. Look there rst if you need a symbol for a transform, number set, or some other alphanumeric. Although there have been many requests on comp.text.tex for a contradiction symbol, the ensuing discussion invariably reveals innumerable ways to represent contradiction in a proof, including (\blitza), (\Rightarrow\Leftarrow), (\bot), (\nleftrightarrow), and (\textreferencemark). Because of the lack of notational consensus, it is probably better to spell out Contradiction! than to use a symbol for this purpose. Similarly, discussions on comp.text.tex have revealed that there are a variety of ways to indicate the mathematical notion of is dened as. Common candidates include (\triangleq), def (\equiv), (\coloneqq), and = (\stackrel{\text{\tiny def}}{=}). See also the example of \equalsfill on page 95. Depending upon the context, disjoint union may be represented as (\coprod), (\sqcup), (\dotcup), (\oplus), or any of a number of other symbols.1 Finally, the average value of a variable x is written by some people as x (\overline{x}), by some people as x (\langle x \rangle), and by some people as x or x (\diameter x or \varnothing x). The moral of the story is that you should be careful always to explain your notation to avoid confusing your readers.

Table 38: Math-Mode Versions of Text Symbols $ ... \mathdollar \mathellipsis \mathparagraph \mathsection \mathsterling \mathunderscore

Its generally preferable to use the corresponding symbol from Table 3 on page 8 because the symbols in that table work properly in both text mode and math mode.

Table 39: cmll Unary Operators !

\oc \shift

\shneg \shpos

?

\wn

\oc and \wn dier from ! and ? in terms of their math-mode spacing: $A=!B$ produces A =!B, for example, while $A=\oc B$ produces A = !B.

Table 40: Binary Operators \amalg \ast \bigcirc \bigtriangledown \bigtriangleup \bullet \cap \cdot \circ \cup \dagger \ddagger \diamond \div \lhd \mp \odot \ominus \ \oplus \oslash \otimes \pm \rhd \setminus \sqcap \sqcup \star \times \triangleleft \triangleright \unlhd \unrhd \uplus \vee \wedge \wr

A Not predened in L TEX 2 . Use one of the packages latexsym, amsfonts, amssymb, txfonts, pxfonts, or wasysym.

1 Bob

Tennent listed these and other disjoint-union symbol possibilities in a November 2007 post to comp.text.tex.

20

Table 41: AMS Binary Operators \barwedge \boxdot \boxminus \boxplus \boxtimes \Cap \centerdot \circledast \circledcirc \circleddash \Cup \curlyvee \curlywedge \divideontimes \dotplus \doublebarwedge \intercal \leftthreetimes \ltimes \rightthreetimes \rtimes \smallsetminus \veebar

Table 42: stmaryrd Binary Operators \baro \bbslash \binampersand \bindnasrepma \boxast \boxbar \boxbox \boxbslash \boxcircle \boxdot \boxempty \boxslash \curlyveedownarrow \curlyveeuparrow \curlywedgedownarrow \curlywedgeuparrow \fatbslash \fatsemi \fatslash \interleave \leftslice \merge \minuso \moo \nplus \obar \oblong \obslash \ogreaterthan \olessthan \ovee \owedge \rightslice \sslash \talloblong \varbigcirc \varcurlyvee \varcurlywedge \varoast \varobar \varobslash \varocircle \varodot \varogreaterthan \varolessthan \varominus \varoplus \varoslash \varotimes \varovee \varowedge \vartimes \Ydown \Yleft \Yright \Yup

Table 43: wasysym Binary Operators \lhd \LHD \ocircle \rhd \RHD \unlhd \unrhd

Table 44: txfonts/pxfonts Binary Operators \circledbar \circledbslash \circledvee \circledwedge \invamp \medbullet \medcirc \sqcapplus \sqcupplus

21

Table 45: mathabx Binary Operators

y

\ast \Asterisk \barwedge \bigstar \bigvarstar \blackdiamond \cap \circplus \coasterisk \coAsterisk \convolution \cup \curlyvee

x

\curlywedge \divdot \divideontimes \dotdiv \dotplus \dottimes \doublebarwedge \doublecap \doublecup \ltimes \pluscirc \rtimes \sqbullet

\sqcap \sqcup \sqdoublecap \sqdoublecup \square \squplus \udot \uplus \varstar \vee \veebar \veedoublebar \wedge

Many of the above glyphs go by multiple names. \centerdot is equivalent to \sqbullet, and \ast is equivalent to *. \asterisk produces the same glyph as \ast, but as an ordinary symbol, not a binary operator. Similarly, \bigast produces a large-operator version of the \Asterisk binary operator, and \bigcoast produces a large-operator version of the \coAsterisk binary operator.

22

Table 46: MnSymbol Binary Operators \amalg \ast \backslashdiv \bowtie \bullet \cap \capdot \capplus \cdot \circ \closedcurlyvee \closedcurlywedge \cup \cupdot \cupplus \curlyvee \curlyveedot \curlywedge \curlywedgedot \ddotdot \diamonddots \div \dotmedvert \dotminus \doublecap \doublecup \doublecurlyvee \doublecurlywedge \doublesqcap \doublesqcup \doublevee \doublewedge \downtherefore \downY \dtimes \fivedots \hbipropto \hdotdot \lefthalfcap \lefthalfcup \lefttherefore \leftthreetimes \leftY \ltimes \medbackslash \medcircle \medslash \medvert \medvertdot \minus \minusdot \mp \neswbipropto \nwsebipropto \plus \pm \righthalfcap \righthalfcup \righttherefore \rightthreetimes \rightY \rtimes \slashdiv \smallprod \sqcap \sqcapdot \sqcapplus \sqcup \sqcupdot \sqcupplus \squaredots \times \udotdot \uptherefore \upY \utimes \vbipropto \vdotdot \vee \veedot \vertbowtie \vertdiv \wedge \wedgedot \wreath

+

MnSymbol denes \setminus and \smallsetminus as synonyms \medbackslash; \Join as a synonym for \bowtie; \wr as a synonym \wreath; \shortmid as a synonym for \medvert; \Cap as a synonym \doublecap; \Cup as a synonym for \doublecup; and, \uplus as a synonym \cupplus.

for for for for

Table 47: mathdesign Binary Operators \dtimes \udtimes \utimes

The mathdesign package additionally provides versions of each of the binary operators shown in Table 41 on page 21.

Table 48: cmll Binary Operators `

\parr

&

\with

\with diers from & in terms of its math-mode spacing: $A \& B$ produces A&B, for example, while $A \with B$ produces A & B.

23

Table 49: ulsy Geometric Binary Operators

\odplus

f n k e g d h

Table 50: mathabx Geometric Binary Operators \blacktriangledown \blacktriangleleft \blacktriangleright \blacktriangleup \boxasterisk \boxbackslash \boxbot \boxcirc \boxcoasterisk \boxdiv \boxdot \boxleft \boxminus \boxplus

i m j o lf n k e g d h

\boxright \boxslash \boxtimes \boxtop \boxtriangleup \boxvoid \oasterisk \obackslash \obot \ocirc \ocoasterisk \odiv \odot \oleft

i m j o l

\ominus \oplus \oright \oslash \otimes \otop \otriangleup \ovoid \smalltriangledown \smalltriangleleft \smalltriangleright \smalltriangleup

Table 51: MnSymbol Geometric Binary Operators \boxbackslash \boxbox \boxdot \boxminus \boxplus \boxslash \boxtimes \boxvert \diamondbackslash \diamonddiamond \diamonddot \diamondminus \diamondplus \diamondslash \diamondtimes \diamondvert \downslice \filleddiamond \filledmedsquare \filledmedtriangledown \filledmedtriangleleft \filledmedtriangleright \filledmedtriangleup \filledsquare \filledstar \filledtriangledown \filledtriangleleft \filledtriangleright \filledtriangleup \meddiamond \medsquare \medstar \medtriangledown \medtriangleleft \medtriangleright \medtriangleup \oast \obackslash \ocirc \odot \ominus \oplus \oslash \ostar \otimes \otriangle \overt \pentagram \smalldiamond \smallsquare \smallstar \smalltriangledown \smalltriangleleft \smalltriangleright \smalltriangleup \thinstar \upslice

MnSymbol denes \blacksquare as a synonym for \filledmedsquare; \square and \Box as synonyms for \medsquare; \diamond as a synonym for \smalldiamond; \Diamond as a synonym for \meddiamond; \star as a synonym for \thinstar; \circledast as a synonym for \oast; \circledcirc as a synonym for \ocirc; and, \circleddash as a synonym for \ominus.

24

Table 52: Variable-sized Math Operators \bigcap \bigcup \bigodot \bigoplus \bigotimes \bigsqcup \biguplus \bigvee \bigwedge \coprod \int \oint \prod \sum

Table 53: AMS Variable-sized Math Operators \iint \iiiint \iiint \idotsint

Table 54: stmaryrd Variable-sized Math Operators \bigbox \bigcurlyvee \bigcurlywedge \biginterleave \bignplus \bigparallel \bigsqcap \bigtriangledown \bigtriangleup

Table 55: wasysym Variable-sized Math Operators \int \varint \iint \varoint \iiint \oiint

None of the preceding symbols are dened when wasysym is passed the nointegrals option.

Not dened when wasysym is passed the integrals option. Dened only when wasysym is passed the integrals option. Otherwise, the default A L TEX \int glyph (as shown in Table 52) is used.

25

Table 56: mathabx Variable-sized Math Operators

\bigcurlyvee \bigsqcap \bigcurlywedge \bigboxasterisk \bigboxbackslash \bigboxbot \bigboxcirc \bigboxcoasterisk \bigboxdiv \bigboxdot \bigboxleft \bigboxminus \bigboxplus \bigboxright

\bigboxslash \bigboxtimes \bigboxtop \bigboxtriangleup \bigboxvoid \bigcomplementop \bigoasterisk \bigobackslash \bigobot \bigocirc \bigocoasterisk \bigodiv \bigoleft \bigominus

\bigoright \bigoslash \bigotop \bigotriangleup \bigovoid \bigplus \bigsquplus \bigtimes \iiint \iint \int \oiint \oint

26

Table 57: txfonts/pxfonts Variable-sized Math Operators \bigsqcapplus \bigsqcupplus \fint \idotsint \iiiint \iiint \iint \oiiintclockwise \oiiintctrclockwise \oiiint \oiintclockwise \oiintctrclockwise \oiint \ointclockwise \ointctrclockwise \sqiiint \sqiint \sqint \varoiiintclockwise \varoiiintctrclockwise \varoiintclockwise \varoiintctrclockwise \varointclockwise \varointctrclockwise \varprod

27

Table 58: esint Variable-sized Math Operators % # \iiiint \iiint \iint & \landdownint $ \landupint \oiint \dotsint \fint ! \sqiint \sqint " \varoiint \varointclockwise \varointctrclockwise \ointclockwise \ointctrclockwise

28

Table 59: MnSymbol Variable-sized Math Operators \bigcap \bigcapdot \bigcapplus \bigcircle \bigcup \bigcupdot \bigcupplus \bigcurlyvee \bigcurlyveedot \bigcurlywedge \bigcurlywedgedot \bigdoublecurlyvee \bigdoublecurlywedge \bigdoublevee \bigdoublewedge \bigoast \bigobackslash \bigocirc \bigodot

\bigominus \bigoplus \bigoslash \bigostar \bigotimes \bigotriangle \bigovert \bigplus \bigsqcap \bigsqcapdot \bigsqcapplus \bigsqcup \bigsqcupdot \bigsqcupplus \bigtimes \bigvee \bigveedot \bigwedge \bigwedgedot

\complement \coprod \idotsint \iiiint \iiint \iint \int \landdownint \landupint \lcircleleftint \lcirclerightint \oiint \oint \prod \rcircleleftint \rcirclerightint \strokedint \sum \sumint

MnSymbol denes \biguplus as a synonym for \bigcupplus.

Table 60: mathdesign Variable-sized Math Operators \intclockwise \ointclockwise

\oiiint

\ointctrclockwise

\oiint

The mathdesign package provides three versions of each integralin fact, of every symbolto accompany dierent text fonts: Utopia ( ), Garamond ( ), and Charter ( ).

29

Table 61: cmll Large Math Operators \bigparr \bigwith

Table 62: Binary Relations \approx \asymp \bowtie \cong \dashv \doteq \equiv \frown \Join \mid \models \parallel \perp \prec \preceq \propto \sim \simeq \smile \succ \succeq \vdash

| |=

A Not predened in L TEX 2 . Use one of the packages latexsym, amsfonts, amssymb, mathabx, txfonts, pxfonts, or wasysym.

Table 63: AMS Binary Relations \approxeq \backepsilon \backsim \backsimeq \because \between \Bumpeq \bumpeq \circeq \curlyeqprec \curlyeqsucc \doteqdot \eqcirc \fallingdotseq \multimap \pitchfork \precapprox \preccurlyeq \precsim \risingdotseq \shortmid \shortparallel \smallfrown \smallsmile \succapprox \succcurlyeq \succsim \therefore \thickapprox \thicksim \varpropto \Vdash \vDash \Vvdash

Table 64: AMS Negated Binary Relations \ncong \nmid \nparallel \nprec \npreceq \nshortmid \nshortparallel \nsim \nsucc \nsucceq \nvDash \nvdash \nVDash \precnapprox \precnsim \succnapprox \succnsim

Table 65: stmaryrd Binary Relations \inplus \niplus

Table 66: wasysym Binary Relations \invneg \Join \leadsto \logof 30 \wasypropto

Table 67: txfonts/pxfonts Binary Relations \circledgtr \circledless \colonapprox \Colonapprox \coloneq \Coloneq \Coloneqq \coloneqq \Colonsim \colonsim \Eqcolon \eqcolon \eqqcolon \Eqqcolon \eqsim

\lJoin \lrtimes \multimap \multimapboth \multimapbothvert \multimapdot \multimapdotboth \multimapdotbothA \multimapdotbothAvert \multimapdotbothB \multimapdotbothBvert \multimapdotbothvert \multimapdotinv \multimapinv \openJoin

\opentimes \Perp \preceqq \precneqq \rJoin \strictfi \strictif \strictiff \succeqq \succneqq \varparallel \varparallelinv \VvDash

As an alternative to using txfonts/pxfonts, a := symbol can be constructed with \mathrel{\mathop:}=.

Table 68: txfonts/pxfonts Negated Binary Relations \napproxeq \nasymp \nbacksim \nbacksimeq \nbumpeq \nBumpeq \nequiv \nprecapprox \npreccurlyeq \npreceqq \nprecsim \nsimeq \nsuccapprox \nsucccurlyeq \nsucceqq \nsuccsim \nthickapprox \ntwoheadleftarrow \ntwoheadrightarrow \nvarparallel \nvarparallelinv \nVdash

2 % # & ! ) AA

Table 69: mathabx Binary Relations \between \botdoteq \Bumpedeq \bumpedeq \circeq \coloneq \corresponds \curlyeqprec \curlyeqsucc \DashV \Dashv \dashVv#

$ ' "

E

\divides \dotseq \eqbumped \eqcirc \eqcolon \fallingdotseq \ggcurly \llcurly \precapprox \preccurlyeq \precdot \precsim

T @ D

@ D

\risingdotseq \succapprox \succcurlyeq \succdot \succsim \therefore \topdoteq \vDash \Vdash \VDash \Vvdash

31

Table 70: mathabx Negated Binary Relations' )

C G 9

C G$ 0 1 %

\napprox \ncong \ncurlyeqprec \ncurlyeqsucc \nDashv \ndashV \ndashv \nDashV \ndashVv \neq \notasymp \notdivides \notequiv

w

& (

\notperp \nprec \nprecapprox \npreccurlyeq \npreceq \nprecsim \nsim \nsimeq \nsucc \nsuccapprox \nsucccurlyeq \nsucceq \nsuccsim

B

BF 8

F

\nvDash \nVDash \nVdash \nvdash \nVvash \precnapprox \precneq \precnsim \succnapprox \succneq \succnsim

The \changenotsign command toggles the behavior of \not to produce either a vertical or a diagonal slash through a binary operator. Thus, $a \not= b$ can be made to produce either a = b or a = b.

Table 71: MnSymbol Binary Relations \approx \approxeq \backapprox \backapproxeq \backcong \backeqsim \backsim \backsimeq \backtriplesim \between \bumpeq \Bumpeq \circeq \closedequal \closedprec \closedsucc \cong \curlyeqprec \curlyeqsucc \doteq \Doteq \downfootline \downfree \downmodels \downModels \downpropto \downvdash \downVdash \eqbump \eqcirc \eqdot \eqsim \equal \equalclosed \equiv \equivclosed \fallingdotseq \hateq \hcrossing \leftfootline \leftfree \leftmodels \leftModels \leftpropto \leftrightline \Leftrightline \leftslice \leftvdash \leftVdash \nefootline \nefree \nemodels \neModels \neswline \Neswline \nevdash \neVdash \nwfootline \nwfree \nwmodels \nwModels \nwsecrossing \nwseline \Nwseline \nwvdash \nwVdash \prec \precapprox \preccurlyeq \preceq \precsim \rightfootline \rightfree \rightmodels \rightModels \rightpropto \rightslice \rightvdash \rightVdash \risingdotseq \sefootline \sefree \semodels \seModels \separated \sevdash \seVdash \shortparallel \sim \simeq \succ \succapprox \succcurlyeq \succeq \succsim \swfootline \swfree \swmodels \swModels \swvdash \swVdash \triplesim \updownline \Updownline \upfootline \upfree \upmodels \upModels \uppropto \upvdash \upVdash \vcrossing \Vvdash

=

32

MnSymbol additionally denes synonyms for some of the preceding symbols: \dashv \diagdown \diagup \divides \doteqdot \models \parallel \perp \propto \relbar \Relbar \varpropto \vDash \VDash \vdash \Vdash (same (same (same (same (same (same (same (same (same (same (same (same (same (same (same (same as as as as as as as as as as as as as as as as \leftvdash) \nwseline) \neswline) \updownline) \Doteq) \rightmodels) \Updownline) \upvdash) \leftpropto) \leftrightline) \Leftrightline) \leftpropto) \rightmodels) \rightModels) \rightvdash) \rightVdash)

Table 72: MnSymbol Negated Binary Relations \napprox \napproxeq \nbackapprox \nbackapproxeq \nbackcong \nbackeqsim \nbacksim \nbacksimeq \nbacktriplesim \nbumpeq \nBumpeq \ncirceq \nclosedequal \ncong \ncurlyeqprec \ncurlyeqsucc \ndoteq \nDoteq \ndownfootline \ndownfree \ndownmodels \ndownModels \ndownvdash \ndownVdash \neqbump \neqcirc \neqdot \neqsim \nequal \nequalclosed \nequiv \nequivclosed \neswcrossing \nfallingdotseq \nhateq \nleftfootline \nleftfree \nleftmodels \nleftModels \nleftrightline \nLeftrightline \nleftvdash \nleftVdash \nnefootline \nnefree \nnemodels \nneModels \nneswline \nNeswline \nnevdash \nneVdash \nnwfootline \nnwfree \nnwmodels \nnwModels \nnwseline \nNwseline \nnwvdash \nnwVdash \nprec \nprecapprox \npreccurlyeq \npreceq \nprecsim \nrightfootline \nrightfree \nrightmodels \nrightModels \nrightvdash \nrightVdash \nrisingdotseq \nsefootline \nsefree \nsemodels \nseModels \nsevdash \nseVdash \nshortmid \nshortparallel \nsim \nsimeq \nsucc \nsuccapprox \nsucccurlyeq \nsucceq \nsuccsim \nswfootline \nswfree \nswmodels \nswModels \nswvdash \nswVdash \ntriplesim \nupdownline \nUpdownline \nupfootline \nupfree \nupmodels \nupModels \nupvdash \nupVdash \precnapprox \precnsim \succnapprox \succnsim

MnSymbol additionally denes synonyms for some of the preceding symbols:

33

\ndashv \ndiagdown \ndiagup \ndivides \ne \neq \nmid \nmodels \nparallel \nperp \nrelbar \nRelbar \nvDash \nvdash \nVdash \nVDash

(same (same (same (same (same (same (same (same (same (same (same (same (same (same (same (same

as as as as as as as as as as as as as as as as

\nleftvdash) \nnwseline) \nneswline) \nupdownline) \nequal) \nequal) \nupdownline) \nrightmodels) \nUpdownline) \nupvdash) \nleftrightline) \nLeftrightline) \nrightmodels) \nrightvdash) \nrightVdash) \nrightModels)

Table 73: mathtools Binary Relations :: : := ::= :: \Colonapprox \colonapprox \coloneqq \Coloneqq \Coloneq : : :: :: : \coloneq \colonsim \Colonsim \dblcolon \eqcolon :: =: =:: \Eqcolon \eqqcolon \Eqqcolon

Similar symbols can be dened using mathtoolss \vcentcolon, which produces a colon centered on the fonts math axis:

=:= =:=

vs.

=: ==\vcentcolon=

Table 74: turnstile Binary Relationsdef abc def abc def abc def abc def abc def abc def abc

\dddtstile{abc}{def} \ddststile{abc}{def} \ddtstile{abc}{def} \ddttstile{abc}{def} \dndtstile{abc}{def} \dnststile{abc}{def} \dntstile{abc}{def}

def abc def abc def abc def abc def abc def abc def abc

def

\nntstile{abc}{def} \nnttstile{abc}{def} \nsdtstile{abc}{def} \nsststile{abc}{def} \nststile{abc}{def} \nsttstile{abc}{def} \ntdtstile{abc}{def}

abc def abc def abc def abc def abc def abc def abc

\stdtstile{abc}{def} \stststile{abc}{def} \sttstile{abc}{def} \stttstile{abc}{def} \tddtstile{abc}{def} \tdststile{abc}{def} \tdtstile{abc}{def}

(continued on next page)

34

(continued from previous page)def

def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc

def

\dnttstile{abc}{def} \dsdtstile{abc}{def} \dsststile{abc}{def} \dststile{abc}{def} \dsttstile{abc}{def} \dtdtstile{abc}{def} \dtststile{abc}{def} \dttstile{abc}{def} \dtttstile{abc}{def} \nddtstile{abc}{def} \ndststile{abc}{def} \ndtstile{abc}{def} \ndttstile{abc}{def} \nndtstile{abc}{def} \nnststile{abc}{def}

abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc

\ntststile{abc}{def} \nttstile{abc}{def} \ntttstile{abc}{def} \sddtstile{abc}{def} \sdststile{abc}{def} \sdtstile{abc}{def} \sdttstile{abc}{def} \sndtstile{abc}{def} \snststile{abc}{def} \sntstile{abc}{def} \snttstile{abc}{def} \ssdtstile{abc}{def} \ssststile{abc}{def} \sststile{abc}{def} \ssttstile{abc}{def}

abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc def abc

\tdttstile{abc}{def} \tndtstile{abc}{def} \tnststile{abc}{def} \tntstile{abc}{def} \tnttstile{abc}{def} \tsdtstile{abc}{def} \tsststile{abc}{def} \tststile{abc}{def} \tsttstile{abc}{def} \ttdtstile{abc}{def} \ttststile{abc}{def} \tttstile{abc}{def} \ttttstile{abc}{def}

Each of the above takes an optional argument that controls the size of the upper and lower expressions. See the turnstile documentation for more information.

Table 75: trsym Binary Relations \InversTransformHoriz \InversTransformVert \TransformHoriz \TransformVert

c c c c

Table 76: trfsigns Binary Relations c \dfourier c \fourier c s \laplace c .... s \ztransf.. .. .. ..

s s ....

\Dfourier \Fourier \Laplace \Ztransf

35

Table 77: cmll Binary Relations \coh \incoh \scoh \sincoh

Table 78: Subset and Superset Relations \sqsubset \sqsubseteq \sqsupset

\sqsupseteq \subset \subseteq

\supset \supseteq

A Not predened in L TEX 2 . Use one of the packages latexsym, amsfonts, amssymb, mathabx, txfonts, pxfonts, or wasysym.

Table 79: AMS Subset and Superset Relations \nsubseteq \nsupseteq \nsupseteqq \sqsubset \sqsupset \Subset \subseteqq \subsetneq \subsetneqq \Supset \supseteqq \supsetneq \supsetneqq \varsubsetneq \varsubsetneqq \varsupsetneq \varsupsetneqq

Table 80: stmaryrd Subset and Superset Relations \subsetplus \subsetpluseq \supsetplus \supsetpluseq

Table 81: wasysym Subset and Superset Relations \sqsubset \sqsupset

Table 82: txfonts/pxfonts Subset and Superset Relations \nsqsubset \nsqsubseteq \nsqsupset \nsqsupseteq \nSubset \nsubseteqq \nSupset

36

Table 83: mathabx Subset and Superset Relations \nsqsubset \nsqSubset \nsqsubseteq \nsqsubseteqq \nsqsupset \nsqSupset \nsqsupseteq \nsqsupseteqq \nsubset \nSubset \nsubseteq \nsubseteqq

\nsupset \nSupset \nsupseteq \nsupseteqq \sqsubset \sqSubset \sqsubseteq \sqsubseteqq \sqsubsetneq \sqsubsetneqq \sqSupset \sqsupset

\sqsupseteq \sqsupseteqq \sqsupsetneq \sqsupsetneqq \subset \Subset \subseteq \subseteqq \subsetneq \subsetneqq \supset \Supset

\supseteq \supseteqq \supsetneq \supsetneqq \varsqsubsetneq \varsqsubsetneqq \varsqsupsetneq \varsqsupsetneqq \varsubsetneq \varsubsetneqq \varsupsetneq \varsupsetneqq

Table 84: MnSymbol Subset and Superset Relations \nSqsubset \nsqsubset \nsqsubseteq \nsqsubseteqq \nSqsupset \nsqsupset \nsqsupseteq \nsqsupseteqq \nSubset \nsubset \nsubseteq \nsubseteqq \nSupset \nsupset \nsupseteq \nsupseteqq \Sqsubset \sqsubset \sqsubseteq \sqsubseteqq \sqsubsetneq \sqsubsetneqq \Sqsupset \sqsupset \sqsupseteq \sqsupseteqq \sqsupsetneq \sqsupsetneqq \Subset \subset \subseteq \subseteqq \subsetneq \subsetneqq \Supset \supset \supseteq \supseteqq \supsetneq \supsetneqq

MnSymbol additionally denes \varsubsetneq as a synonym for \subsetneq, \varsubsetneqq as a synonym for \subsetneqq, \varsupsetneq as a synonym for \supsetneq, and \varsupsetneqq as a synonym for \supsetneqq.

Table 85: Inequalities \geq \gg \leq \ll \neq

Table 86: AMS Inequalities \eqslantgtr \eqslantless \geqq \geqslant \ggg \gnapprox \gneq \gneqq \gnsim \gtrapprox \gtrdot \gtreqless \gtreqqless \gtrless \gtrsim \gvertneqq \leqq \leqslant \lessapprox \lessdot 37 \lesseqgtr \lesseqqgtr \lessgtr \lesssim \lll \lnapprox \lneq \lneqq \lnsim \lvertneqq \ngeq \ngeqq \ngeqslant \ngtr \nleq \nleqq \nleqslant \nless

Table 87: wasysym Inequalities \apprge \apprle

Table 88: txfonts/pxfonts Inequalities \ngg \ngtrapprox \ngtrless \ngtrsim \nlessapprox \nlessgtr \nlesssim \nll

Table 89: mathabx Inequalities 4

\eqslantgtr \eqslantless \geq \geqq \gg \ggg \gnapprox \gneq \gneqq \gnsim \gtrapprox \gtrdot

\gtreqless \gtreqqless \gtrless \gtrsim \gvertneqq \leq \leqq \lessapprox \lessdot \lesseqgtr \lesseqqgtr \lessgtr

3

\lesssim \ll \lll \lnapprox \lneq \lneqq \lnsim \lvertneqq \neqslantgtr \neqslantless \ngeq \ngeqq

\ngtr \ngtrapprox \ngtrsim \nleq \nleqq \nless \nlessapprox \nlesssim \nvargeq \nvarleq \vargeq \varleq

mathabx denes \leqslant and \le as synonyms for \leq, \geqslant and \ge as synonyms for \geq, \nleqslant as a synonym for \nleq, and \ngeqslant as a synonym for \ngeq.

38

Table 90: MnSymbol Inequalities \eqslantgtr \eqslantless \geq \geqclosed \geqdot \geqq \geqslant \geqslantdot \gg \ggg \gnapprox \gneqq \gnsim \gtr \gtrapprox \gtrclosed \gtrdot \gtreqless \gtreqlessslant \gtreqqless \gtrless \gtrneqqless \gtrsim \leq \leqclosed \leqdot \leqq \leqslant \leqslantdot \less \lessapprox \lessclosed \lessdot \lesseqgtr \lesseqgtrslant \lesseqqgtr \lessgtr \lessneqqgtr \lesssim \ll \lll \lnapprox \lneqq \lnsim \neqslantgtr \neqslantless \ngeq \ngeqclosed \ngeqdot \ngeqq \ngeqslant \ngeqslantdot \ngg \nggg \ngtr \ngtrclosed \ngtrdot \ngtreqless \ngtreqlessslant \ngtreqqless \ngtrless \nleq \nleqclosed \nleqdot \nleqq \nleqslant \nleqslantdot \nless \nlessclosed \nlessdot \nlesseqgtr \nlesseqgtrslant \nlesseqqgtr \nlessgtr \nll \nlll

MnSymbol additionally denes synonyms for some of the preceding symbols: \gggtr \gvertneqq \lhd \llless \lvertneqq \ntrianglelefteq \ntriangleleft \ntrianglerighteq \ntriangleright \rhd \trianglelefteq \trianglerighteq \unlhd \unrhd \vartriangleleft \vartriangleright (same (same (same (same (same (same (same (same (same (same (same (same (same (same (same (same as as as as as as as as as as as as as as as as \ggg) \gneqq) \lessclosed) \lll) \lneqq) \nleqclosed) \nlessclosed) \ngeqclosed) \ngtrclosed) \gtrclosed) \leqclosed) \geqclosed) \leqclosed) \geqclosed) \lessclosed) \gtrclosed)

Table 91: AMS Triangle Relations \blacktriangleleft \blacktriangleright \ntriangleleft \ntrianglelefteq \ntriangleright \ntrianglerighteq \trianglelefteq \triangleq \trianglerighteq \vartriangleleft \vartriangleright

39

Table 92: stmaryrd Triangle Relations \trianglelefteqslant \ntrianglelefteqslant \trianglerighteqslant \ntrianglerighteqslant

Table 93: mathabx Triangle Relations

\ntriangleleft \ntrianglelefteq \ntriangleright

\ntrianglerighteq \triangleleft \trianglelefteq

\triangleright \trianglerighteq \vartriangleleft

\vartriangleright

Table 94: MnSymbol Triangle Relations \filledmedtriangledown \filledmedtriangleleft \filledmedtriangleright \filledmedtriangleup \filledtriangledown \filledtriangleleft \filledtriangleright \filledtriangleup \largetriangledown \largetriangleleft \largetriangleright \largetriangleup \medtriangledown \medtriangleleft \medtriangleright \medtriangleup \ntriangleeq \ntriangleleft \ntrianglelefteq \ntriangleright \ntrianglerighteq \otriangle \smalltriangledown \smalltriangleleft \smalltriangleright \smalltriangleup \triangleeq \trianglelefteq \trianglerighteq \vartriangleleft \vartriangleright

MnSymbol additionally denes synonyms for many of the preceding symbols: \triangleq is a synonym for \triangleeq; \lhd and \lessclosed are synonyms for \vartriangleleft; \rhd and \gtrclosed are synonyms for \vartriangleright; \unlhd and \leqclosed are synonyms for \trianglelefteq; \unrhd and \geqclosed are synonyms for \trianglerighteq; \blacktriangledown, \blacktriangleleft, \blacktriangleright, and \blacktriangle [sic] are synonyms for, respectively, \filledmedtriangledown, \filledmedtriangleleft, \filledmedtriangleright, and \filledmedtriangleup; \triangleright is a synonym for \medtriangleright; \triangle, \vartriangle, and \bigtriangleup are synonyms for \medtriangleup; \triangleleft is a synonym for \medtriangleleft; \triangledown and \bigtriangledown are synonyms for \medtriangledown; \nlessclosed is a synonym for \ntriangleleft; \ngtrclosed is a synonym for \ntriangleright; \nleqclosed is a synonym for \ntrianglelefteq; and \ngeqclosed is a synonym for \ntrianglerighteq. The title Triangle Relations is a bit of a misnomer here as only \triangleeq and \ntriangleeq are dened as TEX relations (class 3 symbols). The \largetriangle. . . symbols are dened as TEX ordinary characters (class 0) and all of the remaining characters are dened as TEX binary operators (class 2).

40

Table 95: Arrows

\Downarrow \downarrow \hookleftarrow \hookrightarrow \leadsto \leftarrow \Leftarrow \Leftrightarrow \leftrightarrow

= =

\longleftarrow \Longleftarrow \longleftrightarrow \Longleftrightarrow \longmapsto \Longrightarrow \longrightarrow \mapsto \nearrow

\nwarrow \Rightarrow \rightarrow \searrow \swarrow \uparrow \Uparrow \updownarrow \Updownarrow

A Not predened in L TEX 2 . Use one of the packages latexsym, amsfonts, amssymb, txfonts, pxfonts, or wasysym.

See the note beneath Table 157 for information about how to put a diagonal arrow B 0 across a mathematical expression (as in ) . B

Table 96: Harpoons \leftharpoondown \leftharpoonup \rightharpoondown \rightharpoonup \rightleftharpoons

Table 97: textcomp Text-mode Arrows \textdownarrow \textleftarrow \textrightarrow \textuparrow

Table 98: AMS Arrows \circlearrowleft \circlearrowright \curvearrowleft \curvearrowright \dashleftarrow \dashrightarrow \downdownarrows \leftarrowtail \leftleftarrows \leftrightarrows \leftrightsquigarrow \Lleftarrow \looparrowleft \looparrowright \Lsh \rightarrowtail \rightleftarrows \rightrightarrows \rightsquigarrow \Rsh \twoheadleftarrow \twoheadrightarrow \upuparrows

Table 99: AMS Negated Arrows \nLeftarrow \nleftarrow \nLeftrightarrow \nleftrightarrow \nRightarrow \nrightarrow

Table 100: AMS Harpoons \downharpoonleft \downharpoonright \leftrightharpoons \rightleftharpoons 41 \upharpoonleft \upharpoonright

Table 101: stmaryrd Arrows \leftarrowtriangle \leftrightarroweq \leftrightarrowtriangle \lightning \Longmapsfrom \longmapsfrom \Longmapsto \Mapsfrom \mapsfrom \Mapsto \nnearrow \nnwarrow \rightarrowtriangle \shortdownarrow \shortleftarrow \shortrightarrow \shortuparrow \ssearrow \sswarrow

= =

Table 102: txfonts/pxfonts Arrows \boxdotLeft \boxdotleft \boxdotright \boxdotRight \boxLeft \boxleft \boxright \boxRight \circleddotleft \circleddotright \circleleft \circleright \dashleftrightarrow \DiamonddotLeft \Diamonddotleft \Diamonddotright \DiamonddotRight \DiamondLeft \Diamondleft \Diamondright \DiamondRight \leftsquigarrow \Nearrow \Nwarrow \Rrightarrow \Searrow \Swarrow

Table 103: mathabx Arrows \circlearrowleft \circlearrowright \curvearrowbotleft \curvearrowbotleftright \curvearrowbotright \curvearrowleft \curvearrowleftright \curvearrowright \dlsh \downdownarrows \downtouparrow \downuparrows \drsh

\leftarrow \leftleftarrows \leftrightarrow \leftrightarrows \leftrightsquigarrow \leftsquigarrow \lefttorightarrow \looparrowdownleft \looparrowdownright \looparrowleft \looparrowright \Lsh \nearrow

\nwarrow \restriction \rightarrow \rightleftarrows \rightrightarrows \rightsquigarrow \righttoleftarrow \Rsh \searrow \swarrow \updownarrows \uptodownarrow \upuparrows

Table 104: mathabx Negated Arrows

\nLeftarrow \nleftarrow

\nleftrightarrow \nLeftrightarrow

\nrightarrow \nRightarrow

42

Table 105: mathabx Harpoons \barleftharpoon \barrightharpoon \downdownharpoons \downharpoonleft \downharpoonright \downupharpoons \leftbarharpoon \leftharpoondown

\leftharpoonup \leftleftharpoons \leftrightharpoon \leftrightharpoons \rightbarharpoon \rightharpoondown \rightharpoonup \rightleftharpoon

\rightleftharpoons \rightrightharpoons \updownharpoons \upharpoonleft \upharpoonright \upupharpoons

Table 106: MnSymbol Arrows \curvearrowdownup \curvearrowleftright \curvearrownesw \curvearrownwse \curvearrowrightleft \curvearrowsenw \curvearrowswne \curvearrowupdown \dasheddownarrow \dashedleftarrow \dashednearrow \dashednwarrow \dashedrightarrow \dashedsearrow \dashedswarrow \dasheduparrow \Downarrow \downarrow \downarrowtail \downdownarrows \downlsquigarrow \downmapsto \downrsquigarrow \downuparrows \lcirclearrowdown \lcirclearrowleft \lcirclearrowright \lcirclearrowup \lcurvearrowdown \lcurvearrowleft \lcurvearrowne \lcurvearrownw \lcurvearrowright \lcurvearrowse \lcurvearrowsw \lcurvearrowup \Leftarrow \leftarrow \longleftarrow \Longleftarrow \longleftrightarrow \Longleftrightarrow \longmapsto \longrightarrow \Longrightarrow \looparrowleft \looparrowright \Lsh \nearrow \Nearrow \nearrowtail \nelsquigarrow \nemapsto \nenearrows \nersquigarrow \neswarrow \Neswarrow \neswarrows \nwarrow \Nwarrow \nwarrowtail \nwlsquigarrow \nwmapsto \nwnwarrows \nwrsquigarrow \nwsearrow \Nwsearrow \nwsearrows \partialvardlcircleleftint \partialvardlcirclerightint \partialvardrcircleleftint \partialvardrcirclerightint \partialvartlcircleleftint \partialvartlcirclerightint \partialvartrcircleleftint \partialvartrcirclerightint \rhookswarrow \rhookuparrow \rightarrow \Rightarrow \rightarrowtail \rightleftarrows \rightlsquigarrow \rightmapsto \rightrightarrows \rightrsquigarrow \Rrightarrow \Rsh \searrow \Searrow \searrowtail \selsquigarrow \semapsto \senwarrows \sersquigarrow \sesearrows \squigarrowdownup \squigarrowleftright \squigarrownesw \squigarrownwse \squigarrowrightleft \squigarrowsenw \squigarrowswne \squigarrowupdown \swarrow \Swarrow \swarrowtail \swlsquigarrow \swmapsto \swnearrows \swrsquigarrow \swswarrows \twoheaddownarrow \twoheadleftarrow

(conti