The Comprehensive LATEX Symbol List Scott Pakin <[email protected]>∗ 3 January 2008 Abstract This document lists ∼3086 symbols and the corresponding LATEX commands that produce them. Some of these symbols are guaranteed to be available in every LATEX 2ε 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 TEX Archive Network (http://www.ctan.org/). Contents 1 Introduction 1.1 Document Usage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Body-text symbols Table 1: LATEX 2ε Escapable “Special” Characters . . . . . . . . . . . . . . . Table 2: Predefined LATEX 2ε Text-mode Commands . . . . . . . . . . . . . . Table 3: LATEX 2ε Commands Defined to Work in Both Math and Text Mode Table 4: AMS Commands Defined 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 6 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 12 12 12 13 14 14 15 15 15 15 16 16 16 ∗ 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 80 for more information about who did what. 1 Table Table Table Table Table Table Table Table 29: textcomp Currency Symbols . . . . . . . . 30: marvosym Currency Symbols . . . . . . . . 31: wasysym Currency Symbols . . . . . . . . . 32: eurosym Euro Signs . . . . . . . . . . . . . 33: textcomp Legal Symbols . . . . . . . . . . . 34: textcomp Old-style Numerals . . . . . . . . 35: Miscellaneous textcomp Symbols . . . . . . 36: Miscellaneous wasysym Text-mode Symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 17 17 17 17 17 18 18 3 Mathematical symbols Table 37: Math-Mode Versions of Text Symbols . . . . . Table 38: cmll Unary Operators . . . . . . . . . . . . . . Table 39: Binary Operators . . . . . . . . . . . . . . . . Table 40: AMS Binary Operators . . . . . . . . . . . . . Table 41: stmaryrd Binary Operators . . . . . . . . . . . Table 42: wasysym Binary Operators . . . . . . . . . . . Table 43: txfonts/pxfonts Binary Operators . . . . . . . . Table 44: mathdesign Binary Operators . . . . . . . . . . Table 45: cmll Binary Operators . . . . . . . . . . . . . . Table 46: ulsy Geometric Binary Operators . . . . . . . . Table 47: Variable-sized Math Operators . . . . . . . . . Table 48: AMS Variable-sized Math Operators . . . . . Table 49: stmaryrd Variable-sized Math Operators . . . . Table 50: wasysym Variable-sized Math Operators . . . . Table 51: txfonts/pxfonts Variable-sized Math Operators Table 52: esint Variable-sized Math Operators . . . . . . Table 53: mathdesign Variable-sized Math Operators . . Table 54: cmll Large Math Operators . . . . . . . . . . . Table 55: Binary Relations . . . . . . . . . . . . . . . . . Table 56: AMS Binary Relations . . . . . . . . . . . . . Table 57: AMS Negated Binary Relations . . . . . . . . Table 58: stmaryrd Binary Relations . . . . . . . . . . . . Table 59: wasysym Binary Relations . . . . . . . . . . . . Table 60: txfonts/pxfonts Binary Relations . . . . . . . . Table 61: txfonts/pxfonts Negated Binary Relations . . . Table 62: mathtools Binary Relations . . . . . . . . . . . Table 63: trsym Binary Relations . . . . . . . . . . . . . Table 64: trfsigns Binary Relations . . . . . . . . . . . . Table 65: cmll Binary Relations . . . . . . . . . . . . . . Table 66: Subset and Superset Relations . . . . . . . . . Table 67: AMS Subset and Superset Relations . . . . . . Table 68: stmaryrd Subset and Superset Relations . . . . Table 69: wasysym Subset and Superset Relations . . . . Table 70: txfonts/pxfonts Subset and Superset Relations Table 71: Inequalities . . . . . . . . . . . . . . . . . . . . Table 72: AMS Inequalities . . . . . . . . . . . . . . . . Table 73: wasysym Inequalities . . . . . . . . . . . . . . . Table 74: txfonts/pxfonts Inequalities . . . . . . . . . . . Table 75: AMS Triangle Relations . . . . . . . . . . . . Table 76: stmaryrd Triangle Relations . . . . . . . . . . . Table 77: Arrows . . . . . . . . . . . . . . . . . . . . . . Table 78: Harpoons . . . . . . . . . . . . . . . . . . . . . Table 79: textcomp Text-mode Arrows . . . . . . . . . . Table 80: AMS Arrows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 19 19 19 19 20 20 20 20 20 21 21 21 21 21 22 23 23 23 24 24 24 24 24 25 25 25 26 26 26 26 26 26 26 27 27 27 27 27 27 28 28 28 28 28 2 . . . . . . . . Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table 81: 82: 83: 84: 85: 86: 87: 88: 89: 90: 91: 92: 93: 94: 95: 96: 97: 98: 99: 100: 101: 102: 103: 104: 105: 106: 107: 108: 109: 110: 111: 112: 113: 114: 115: 116: 117: 118: 119: 120: 121: 122: 123: 124: 125: 126: 127: 128: 129: 130: 131: 132: 133: 134: AMS Negated Arrows . . . . . . . . . . . . . AMS Harpoons . . . . . . . . . . . . . . . . stmaryrd Arrows . . . . . . . . . . . . . . . . txfonts/pxfonts Arrows . . . . . . . . . . . . chemarrow Arrows . . . . . . . . . . . . . . . ulsy Contradiction Symbols . . . . . . . . . . Extension Characters . . . . . . . . . . . . . stmaryrd Extension Characters . . . . . . . . txfonts/pxfonts 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 . . . . . . . . . . . . . Letter-like Symbols . . . . . . . . . . . . . . AMS Letter-like Symbols . . . . . . . . . . . txfonts/pxfonts Letter-like Symbols . . . . . . trfsigns Letter-like Symbols . . . . . . . . . . mathdesign Letter-like Symbols . . . . . . . . AMS Delimiters . . . . . . . . . . . . . . . . stmaryrd Delimiters . . . . . . . . . . . . . . nath Delimiters . . . . . . . . . . . . . . . . Variable-sized Delimiters . . . . . . . . . . . Large, Variable-sized Delimiters . . . . . . . AMS Variable-sized Delimiters . . . . . . . . stmaryrd 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 . . . . . . . . . . yhmath Math-mode Accents . . . . . . . . . Extensible Accents . . . . . . . . . . . . . . yhmath Extensible Accents . . . . . . . . . . AMS Extensible Accents . . . . . . . . . . . mathtools 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 . . . . . . . . . . . . . . . . . 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 29 29 29 29 29 29 30 30 30 30 31 31 31 32 32 32 32 32 33 33 33 33 33 33 34 34 34 35 35 35 36 36 36 36 37 37 37 38 38 38 38 38 39 39 39 39 39 40 40 40 40 41 41 Table Table Table Table Table Table Table Table Table Table Table Table Table 135: 136: 137: 138: 139: 140: 141: 142: 143: 144: 145: 146: 147: mathdots Dots . . . . . . . . . . . . . . . . . . . . yhmath Dots . . . . . . . . . . . . . . . . . . . . . mathcomp Math Symbols . . . . . . . . . . . . . . marvosym Digits . . . . . . . . . . . . . . . . . . . Miscellaneous LATEX 2ε Math Symbols . . . . . . . Miscellaneous AMS Math Symbols . . . . . . . . Miscellaneous wasysym Math Symbols . . . . . . . Miscellaneous txfonts/pxfonts Math Symbols . . . Miscellaneous textcomp Text-mode Math Symbols Miscellaneous marvosym Math Symbols . . . . . . Miscellaneous mathdesign Math Symbols . . . . . Miscellaneous arev Math Symbols . . . . . . . . . Math Alphabets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 41 41 41 42 42 42 42 43 43 43 43 44 4 Science and technology symbols Table 148: gensymb Symbols Defined to Work in Both Math and Text Mode Table 149: wasysym Electrical and Physical Symbols . . . . . . . . . . . . . . Table 150: ifsym Pulse Diagram Symbols . . . . . . . . . . . . . . . . . . . . Table 151: ar Aspect Ratio Symbol . . . . . . . . . . . . . . . . . . . . . . . . Table 152: textcomp Text-mode Science and Engineering Symbols . . . . . . Table 153: wasysym Astronomical Symbols . . . . . . . . . . . . . . . . . . . Table 154: marvosym Astronomical Symbols . . . . . . . . . . . . . . . . . . . Table 155: wasysym APL Symbols . . . . . . . . . . . . . . . . . . . . . . . . Table 156: wasysym APL Modifiers . . . . . . . . . . . . . . . . . . . . . . . . Table 157: marvosym Computer Hardware Symbols . . . . . . . . . . . . . . . Table 158: keystroke Computer Keys . . . . . . . . . . . . . . . . . . . . . . . Table 159: ascii Control Characters (CP437) . . . . . . . . . . . . . . . . . . Table 160: marvosym Communication Symbols . . . . . . . . . . . . . . . . . Table 161: marvosym Engineering Symbols . . . . . . . . . . . . . . . . . . . . Table 162: wasysym Biological Symbols . . . . . . . . . . . . . . . . . . . . . Table 163: marvosym Biological Symbols . . . . . . . . . . . . . . . . . . . . . Table 164: marvosym Safety-related Symbols . . . . . . . . . . . . . . . . . . Table 165: feyn Feynman Diagram Symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 45 45 45 45 45 46 46 46 46 46 47 47 47 48 48 48 48 48 5 Dingbats Table 166: Table 167: Table 168: Table 169: Table 170: Table 171: Table 172: Table 173: Table 174: Table 175: Table 176: Table 177: Table 178: Table 179: Table 180: Table 181: Table 182: Table 183: Table 184: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 49 49 49 49 49 50 50 50 50 50 50 50 51 51 51 51 51 51 52 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Table Table Table Table Table Table Table Table Table Table Table Table Table Table Table 185: 186: 187: 188: 189: 190: 191: 192: 193: 194: 195: 196: 197: 198: 199: wasysym Stars . . . . . . . . . . . . . . . . bbding Stars, Flowers, and Similar Shapes pifont Stars, Flowers, and Similar Shapes . wasysym Geometric Shapes . . . . . . . . . ifsym Geometric Shapes . . . . . . . . . . . bbding Geometric Shapes . . . . . . . . . . pifont Geometric Shapes . . . . . . . . . . universa Geometric Shapes . . . . . . . . . universal Geometric Shapes . . . . . . . . . manfnt Dangerous Bend Symbols . . . . . skull Symbols . . . . . . . . . . . . . . . . . marvosym Information Symbols . . . . . . . Miscellaneous dingbat Dingbats . . . . . . Miscellaneous bbding Dingbats . . . . . . . Miscellaneous pifont Dingbats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 52 53 53 53 54 54 54 54 54 54 55 55 55 55 6 Other symbols Table 200: textcomp Genealogical Symbols . . . . . Table 201: wasysym General Symbols . . . . . . . . . Table 202: wasysym Circles . . . . . . . . . . . . . . Table 203: wasysym Musical Symbols . . . . . . . . . Table 204: arev Musical Symbols . . . . . . . . . . . Table 205: Miscellaneous manfnt Symbols . . . . . . Table 206: marvosym Navigation Symbols . . . . . . Table 207: marvosym Laundry Symbols . . . . . . . Table 208: Other marvosym Symbols . . . . . . . . . Table 209: Miscellaneous universa Symbols . . . . . . Table 210: Miscellaneous universal Symbols . . . . . Table 211: ifsym Weather Symbols . . . . . . . . . . Table 212: ifsym Alpine Symbols . . . . . . . . . . . Table 213: ifsym Clocks . . . . . . . . . . . . . . . . Table 214: Other ifsym Symbols . . . . . . . . . . . Table 215: epsdice Dice . . . . . . . . . . . . . . . . Table 216: skak Chess Informator Symbols . . . . . Table 217: metre Metrical Symbols . . . . . . . . . . Table 218: metre Small and Large Metrical Symbols Table 219: phaistos Symbols from the Phaistos Disk Table 220: protosem Proto-Semitic Characters . . . . Table 221: hieroglf Hieroglyphics . . . . . . . . . . . Table 222: dictsym Dictionary Symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 56 56 56 56 56 57 57 57 57 57 58 58 58 58 59 59 59 60 60 61 61 62 62 7 Additional Information 7.1 Symbol Name Clashes . . . . . . . . 7.2 Resizing symbols . . . . . . . . . . . 7.3 Where can I find 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 63 63 66 75 76 76 80 81 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References 81 Index 84 5 1 Introduction Welcome to the Comprehensive LATEX Symbol List! This document strives to be your primary source of LATEX symbol information: font samples, LATEX commands, packages, usage details, caveats—everything needed to put thousands of different 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). 2. All of their symbols have LATEX 2ε bindings. That is, a user should be able to access a symbol by name, not just by \charhnumber i. These are not particularly limiting criteria; the Comprehensive LATEX Symbol List contains samples of ∼3086 symbols—quite a large number. Some of these symbols are guaranteed to be available in every LATEX 2ε 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 corresponding LATEX command to the right of each symbol. A table’s caption indicates what package needs to be loaded in order to access that table’s symbols. For example, the symbols in Table 34, “textcomp Old-Style Numerals”, are made available by putting “\usepackage{textcomp}” in your document’s 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 Knuth’s original, 7-bit font encoding, which is the default font encoding for LATEX) and that you should use fontenc to select a different encoding, such as T1 (a common 8-bit font encoding). That means that you should put “\usepackage[hencodingi]{fontenc}” in your document’s preamble, where hencodingi is, e.g., T1 or LY1. To limit the change in font encoding to the current group, use “\fontencoding{hencodingi}\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, explains how symbols are spaced in math mode, presents a LATEX ASCII and Latin 1 tables, and provides some information about this document itself. The Comprehensive LATEX Symbol List ends with an index of all the symbols in the document and various additional useful terms. 6 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. Table 1: LATEX 2ε Escapable “Special” Characters $ % \$ ∗ \_ ∗ \% } & \} \& # { \# \{ The underscore package redefines “_” to produce an underscore in text mode (i.e., it makes it unnecessary to escape the underscore character). Table 2: Predefined LATEX 2ε Text-mode Commands c ○ ˆ ˜ ∗ \ | { } • © † ‡ $ ... — – ¡ > \textasciicircum \textasciitilde \textasteriskcentered \textbackslash \textbar \textbraceleft∗ \textbraceright∗ \textbullet \textcopyright∗ \textdagger∗ \textdaggerdbl∗ \textdollar∗ \textellipsis∗ \textemdash \textendash \textexclamdown \textgreater a o r ○ TM < ª º ¶ · ¿ “ ” ‘ ’ ® § £ ™ \textless \textordfeminine \textordmasculine \textparagraph∗ \textperiodcentered \textquestiondown \textquotedblleft \textquotedblright \textquoteleft \textquoteright \textregistered \textsection∗ \textsterling∗ \texttrademark \textunderscore∗ \textvisiblespace Where two symbols are present, the left one is the “faked” symbol that LATEX 2ε provides by default, and the right one is the “true” symbol that textcomp makes available. ∗ It’s 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. Table 3: LATEX 2ε Commands Defined to Work in Both Math and Text Mode $ ¶ § \$ \P \S c ○ © † \_ \copyright \dag ‡ ... £ \ddag \dots \pounds { } \{ \} Where two symbols are present, the left one is the “faked” symbol that LATEX 2ε provides by default, and the right one is the “true” symbol that textcomp makes available. 7 Table 4: AMS Commands Defined to Work in Both Math and Text Mode X \checkmark r z \circledR \maltese Table 5: Non-ASCII Letters (Excluding Accented Letters) å Å Æ æ ∗ Ð § · \DH∗ \dh∗ \DJ∗ \dj∗ Ð ð Ð đ \aa \AA \AE \ae L l Ŋ ŋ \L \l \NG∗ \ng∗ ø Ø Œ œ ß SS Þ þ \o \O \OE \oe \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} ° ð Ð ¡ ¢ £ Table 6: Letters Used to Typeset African Languages ¤ ¦ À à © \m{c} \m{D} \M{d} \M{D} \m{d} \m{E} \m{e} \M{E} \M{e} ¨ ª ± ¬ \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} » º ® ¯ ¶ \M{t} \M{T} \m{t} \m{T} \m{u}∗ \m{U}∗ \m{Y} \m{y} \m{z}  â Å å \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 Ơ \OHORN ơ Ư \ohorn \UHORN ư \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. 8 Table 9: pifont Decorative Punctuation Marks { | \ding{123} \ding{124} } ~ ¡ ¢ \ding{125} \ding{126} £ \ding{161} \ding{162} \ding{163} Table 10: tipa Phonetic Symbols È b c d é g Ü 1 ł 8 Ý 0 ì B ò X Å Ñ Æ Þ ^ ă ą g è Û ň 2 C ć ćý š J ő ť ťC ÿ ý \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 P ; ż # á ê Á â ä H Ê Î Ò Ó č É Ö ß Û K Ì ń : ş ę ű Ô ¡ M ñ ë Ð Í ŋ ř _ O % F \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 ï ó ù ú ü $ À à ď å Ë @ I ĺ Ï ð Œ ś ö A g V Ú Y ž  tC Ù T þ £ ţ 5 ŕ 4 ľ Õ W \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 (continued on next page) 9 (continued from previous page) dý S } = / { Ş Ť à dz E S R ě G Ů Ű | " ij ğ 7 \ 9 3 Q ź Ç Ä ~ ¿ ã í \textdctzlig \textdoublebaresh \textdoublebarpipe \textdoublebarslash \textdoublepipe \textdoublevertline \textdownstep \textdyoghlig \textdzlig \textepsilon \textesh \textfishhookr \textg \textgamma \textglobfall \textglobrise \textpipe \textprimstress \textraiseglotstop \textraisevibyi \textramshorns \textrevapostrophe \textreve \textrevepsilon \textrevglotstop \textrevyogh \textrhookrevepsilon \textrhookschwa \textrhoticity \textrptr \textrtaild \textrtaill î ô õ 6 Ø 2 û L U Ţ Š ğ ů ß Z \textturnmrleg \textturnr \textturnrrtail \textturnscripta \textturnt \textturnv \textturnw \textturny \textupsilon \textupstep \textvertline \textvibyi \textvibyy \textwynn \textyogh tipa defines shortcut characters for many of the above. It also defines 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 ˇ 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 ˆ ˜ 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 10 ´ 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 ! ' . < A + X T ; R ? # 3 N a ^ ( e 8 M D b $ % " \babygamma \barb \bard \bari \barl \baro \barp \barsci \barscu \baru \clickb \clickc \clickt \closedniomega \closedrevepsilon \crossb \crossd \crossh \crossnilambda \curlyc \curlyesh \curlyyogh \curlyz \dlbari \dz \ejective , d & I 5 G K Z \ \eng \er \esh \eth \flapr \glotstop \hookb \hookd \hookg \hookh \hookheng \hookrevepsilon \hv \inva \invf \invglotstop \invh \invlegr \invm \invr \invscr \invscripta \invv \invw \invy \ipagamma 4 / 6 E 1 [ ) 2 > C O S V 7 @ = f c \labdentalnas \latfric \legm \legr \lz \nialpha \nibeta \nichi \niepsilon \nigamma \niiota \nilambda \niomega \niphi \nisigma \nitheta \niupsilon \nj \oo \openo \reve \reveject \revepsilon \revglotstop \scd \scg * : J Y W ] U H 0 9 F L P _ Q B ` \schwa \sci \scn \scr \scripta \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 Þ k U \DH \Thorn \dh \inve l þ \openo \thorn Table 15: phonetic Phonetic Symbols j M n N " s d F \barj \barlambda \emgma \engma \enya \epsi \esh \eth \fj f ? B b D T k K D \flap \glottal \hausaB \hausab \hausad \hausaD \hausak \hausaK \hookd ī c h̄ U m r \ibar \openo \planck \pwedge \revD \riota \rotm \rotOmega \rotr 11 A w y e p u u a G \rotvara \rotw \roty \schwa \thorn \ubar \udesc \vara \varg i C v ˚ h x \vari \varomega \varopeno \vod \voicedh \yogh § ¢ ¬ ° Table 16: t4phonet Phonetic Symbols ¡ ¨ ± º à © ª \textcrd \textcrh \textepsilon \textesh \textfjlig \texthtb \texthtc \texthtd \texthtk \texthtp \texthtt \textiota \textltailn \textopeno | ð » ¡ ¬ ¶ \textpipe \textrtaild \textrtailt \textschwa \textscriptv \textteshlig \textyogh The idea behind the t4phonet package’s phonetic symbols is to provide an interface to some of the characters in the T4 font encoding (Table 6 on page 8) but using the same names as the tipa characters presented in Table 10 on page 9. Table 17: semtrans Transliteration Symbols - , \Alif \Ayn Table 18: Text-mode Accents Ää Áá Ȧȧ Āā Ââ \"{A}\"{a} \’{A}\’{a} \.{A}\.{a} \={A}\={a} \^{A}\^{a} a A Àà A¿ ¿a Ãã Aa ¯¯ A̧a̧ A . a. \‘{A}\‘{a} \|{A}\|{a}‡ \~{A}\~{a} \b{A}\b{a} \c{A}\c{a} \newtie{A}\newtie{a}∗ A a Ảả A̋a̋ Ąą A○ a ○ \d{A}\d{a} \G{A}\G{a}‡ \h{A}\h{a}§ \H{A}\H{a} \k{A}\k{a}† Åå a A Ăă A¼ ¼a Ǎǎ \r{A}\r{a} \t{A}\t{a} \u{A}\u{a} \U{A}\U{a}‡ \v{A}\v{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., “ı” and “”). These are useful when the accent is supposed to replace the dot. For example, “na\"{\i}ve” produces a correct “naı̈ve”, while “na\"{i}ve” would yield the rather odd-looking “naı̈ve”. (“na\"{i}ve” does work in encodings other than OT1, however.) 12 Table 19: tipa Text-mode Accents ´´ Ā ā ´´ Ǎ ǎ \textacutemacron{A}\textacutemacron{a} A ffi affi A< a < ˘ Ā˘ ā Ża AŻ ˆˆ Ȧ ȧ \textadvancing{A}\textadvancing{a} §a A§ ˙ ă˙ Ă \textdotacute{A}\textdotacute{a} ˙ ă˙ Ă ‚a A‚ \textdotbreve{A}\textdotbreve{a} İa Aİ Ža AŽ \textdoublevbaraccent{A}\textdoublevbaraccent{a} đa Ađ ` ā ` Ā Ź AŹ a \textgravedot{A}\textgravedot{a} \textacutewedge{A}\textacutewedge{a} \textbottomtiebar{A}\textbottomtiebar{a} \textbrevemacron{A}\textbrevemacron{a} \textcircumacute{A}\textcircumacute{a} \textcircumdot{A}\textcircumdot{a} \textdotbreve{A}\textdotbreve{a} \textdoublegrave{A}\textdoublegrave{a} \textgravecircum{A}\textgravecircum{a} \textgravemacron{A}\textgravemacron{a} \textgravemid{A}\textgravemid{a} A „a „ \textinvsubbridge{A}\textinvsubbridge{a} A fl afl Ÿ AŸ a \textlowering{A}\textlowering{a} ‰a A‰ —— Aa A ˛ a˛ \textovercross{A}\textovercross{a} A fi afi A ffl affl ˚˚ Ā ā “a A“ \textraising{A}\textraising{a} \textmidacute{A}\textmidacute{a} \textoverw{A}\textoverw{a} \textpolhook{A}\textpolhook{a} \textretracting{A}\textretracting{a} \textringmacron{A}\textringmacron{a} \textroundcap{A}\textroundcap{a} A a \textseagull{A}\textseagull{a} Aa ›› Aa ““ Aa ¯¯ A ”a ” \textsubacute{A}\textsubacute{a} Aa ˆˆ Aa ˙˙ Aa ‹‹ A – a– A ff aff \textsubcircum{A}\textsubcircum{a} A » a» \textsubrhalfring{A}\textsubrhalfring{a} \textsubarch{A}\textsubarch{a} \textsubbar{A}\textsubbar{a} \textsubbridge{A}\textsubbridge{a} \textsubdot{A}\textsubdot{a} \textsubgrave{A}\textsubgrave{a} \textsublhalfring{A}\textsublhalfring{a} \textsubplus{A}\textsubplus{a} (continued on next page) 13 (continued from previous page) Aa ˚˚ A «a « \textsubring{A}\textsubring{a} Aa ˜˜ Aa ¨¨ A —a — \textsubtilde{A}\textsubtilde{a} Aa ˇˇ A a && Aa " ˜" ȧ ˜ Ȧ >> Aa \textsubwedge{A}\textsubwedge{a} IJa AIJ \textvbaraccent{A}\textvbaraccent{a} \textsubsquare{A}\textsubsquare{a} \textsubumlaut{A}\textsubumlaut{a} \textsubw{A}\textsubw{a} \textsuperimposetilde{A}\textsuperimposetilde{a} \textsyllabic{A}\textsyllabic{a} \texttildedot{A}\texttildedot{a} \texttoptiebar{A}\texttoptiebar{a} tipa defines shortcut sequences for many of the above. See the tipa documentation for more information. ”” A ”a ” Ŕ Ŕ Ãã .. . Ãã. ˜ ã ˜ à A»a» ˇˇ A»a» ˚˚ a –A ˇ–ˇ a –A ”–˚ ” ˚ Aa a –A ˇ»–ˇ» Table 20: extraipa Text-mode Accents \partvoiceless{A}\partvoiceless{a} \crtilde{A}\crtilde{a} –A»–a» ˚˚ Āā \dottedtilde{A}\dottedtilde{a} Ȧȧ \spreadlips{A}\spreadlips{a} \doubletilde{A}\doubletilde{a} Aa ^^ Aa ¯¯ Aa "" "" Aa ¡¡ Aa ¿¿ A a Ţ Ţ \subcorner{A}\subcorner{a} \bibridge{A}\bibridge{a} \finpartvoice{A}\finpartvoice{a} \finpartvoiceless{A}\finpartvoiceless{a} \inipartvoice{A}\inipartvoice{a} \inipartvoiceless{A}\inipartvoiceless{a} \overbridge{A}\overbridge{a} \sliding{A}\sliding{a} \subdoublebar{A}\subdoublebar{a} \subdoublevert{A}\subdoublevert{a} \sublptr{A}\sublptr{a} \subrptr{A}\subrptr{a} \whistle{A}\whistle{a} \partvoice{A}\partvoice{a} Table 21: wsuipa Text-mode Accents A g ag \dental{A}\dental{a} A a \underarch{A}\underarch{a} 14 Table 22: phonetic Text-mode Accents Aa \hill{A}\hill{a} A a \rc{A}\rc{a} Aa ˚ {˚ A a{ \od{A}\od{a} Aa \syl{A}\syl{a} \ohill{A}\ohill{a} A a .. .. \td{A}\td{a} { { 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 “´ ā” and \acarc{\"}{e} produces “¨ē”. \labvel joins 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 ”. Table 23: metre Text-mode Accents Áá Ăă Ãã Ää Àà Āā A a A¿ ¿a A¼ ¼a \acutus{A}\acutus{a} \breve{A}\breve{a} \circumflexus{A}\circumflexus{a} \diaeresis{A}\diaeresis{a} \gravis{A}\gravis{a} \macron{A}\macron{a} Table 24: t4phonet Text-mode Accents \textdoublegrave{A}\textdoublegrave{a} \textvbaraccent{A}\textvbaraccent{a} \textdoublevbaraccent{A}\textdoublevbaraccent{a} The idea behind the t4phonet package’s 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 12) 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 effective width of the accented characters. See the arcs documentation for more information. 15 Table 26: semtrans Accents Aa ¨¨ Aa ˘˘ \D{A}\D{a} \U{A}\U{a} \T{A}\T{a}∗ aA \T is not actually an accent but a command that rotates its argument 180° using the graphicx package’s \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 } t l \underwedge \upp \upt \underring \undertilde The wsuipa package defines 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 a ”, and \diaunder[\underdots|a] produces “r a”. See the wsuipa documentation for more information. Table 28: textcomp Diacritics ˝ ´ ˘ \textacutedbl \textasciiacute \textasciibreve ˇ ¨ ` \textasciicaron \textasciidieresis \textasciigrave ¯ \textasciimacron \textgravedbl The textcomp package defines all of the above as ordinary characters, not as accents. Table 29: textcomp Currency Symbols ฿ ¢ ₡ ¤ \textbaht \textcent \textcentoldstyle \textcolonmonetary \textcurrency ∗ $ ₫ € ƒ \textdollar∗ \textdollaroldstyle \textdong \texteuro \textflorin ₤ ₦ £ \textguarani \textlira \textnaira \textpeso \textsterling∗ ₩ ¥ \textwon \textyen It’s generally preferable to use the corresponding symbol from Table 3 on page 7 because the symbols in that table work properly in both text mode and math mode. 16 Table 30: marvosym Currency Symbols ¢ \Denarius \Ecommerce e d D c \EUR \EURcr \EURdig \EURhv e ¦ \EURtm \EyesDollar £ ¡ \Pfund \Shilling The different euro signs are meant to be visually compatible with different fonts— Courier (\EURcr), Helvetica (\EURhv), Times Roman (\EURtm), and the marvosym digits listed in Table 138 (\EURdig). The mathdesign package redefines \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 e \geneurowide \officialeuro \euro is automatically mapped to one of the above—by default, \officialeuro— based on a eurosym package option. See the eurosym documentation for more information. The \geneuro. . . characters are generated from the current body font’s “C” character and therefore may not appear exactly as shown. Table 33: textcomp Legal Symbols ℗ « \textcircledP \textcopyleft c ○ r ○ © ® \textcopyright \textregistered ℠ ™ TM \textservicemark \texttrademark Where two symbols are present, the left one is the “faked” symbol that LATEX 2ε 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 solur tions to common problems that occur when using these symbols (e.g., getting a “○” when you expected to get a “®”). Table 34: 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. 17 Table 35: Miscellaneous textcomp Symbols ∗ ‖ ○ ␢ ¦ • † ‡ ℮ ‽ ♪ № ◦ \textasteriskcentered \textbardbl \textbigcircle \textblank \textbrokenbar \textbullet \textdagger∗ \textdaggerdbl∗ \textdblhyphen \textdblhyphenchar \textdiscount \textestimated \textinterrobang \textinterrobangdown \textmusicalnote \textnumero \textopenbullet a o ª º ¶ · ‱ ‰ ¶ ' ‚ „ ※ § ~ \textordfeminine \textordmasculine \textparagraph∗ \textperiodcentered \textpertenthousand \textperthousand \textpilcrow \textquotesingle \textquotestraightbase \textquotestraightdblbase \textrecipe \textreferencemark \textsection∗ \textthreequartersemdash \texttildelow \texttwelveudash Where two symbols are present, the left one is the “faked” symbol that LATEX 2ε provides by default, and the right one is the “true” symbol that textcomp makes available. ∗ It’s generally preferable to use the corresponding symbol from Table 3 on page 7 because the symbols in that table work properly in both text mode and math mode. Table 36: Miscellaneous wasysym Text-mode Symbols h \permil 18 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. Table 37: Math-Mode Versions of Text Symbols $ ... ¶ § \mathdollar \mathellipsis \mathparagraph \mathsection £ \mathsterling \mathunderscore It’s generally preferable to use the corresponding symbol from Table 3 on page 7 because the symbols in that table work properly in both text mode and math mode. Table 38: cmll Unary Operators \oc∗ \shift ! ˜ ∗ ˆ ´ \shneg \shpos ? \wn∗ \oc and \wn differ from “!” and “?” in terms of their math-mode spacing: $A=!B$ produces “A =!B”, for example, while $A=\oc B$ produces “A = !B”. Table 39: Binary Operators q ∗ 5 4 • ∩ · ◦ ∗ \amalg \ast \bigcirc \bigtriangledown \bigtriangleup \bullet \cap \cdot \circ ∪ † ‡ ÷ C ∓ \cup \dagger \ddagger \diamond \div \lhd∗ \mp \odot \ominus ⊕ ⊗ ± B \ u t ? \oplus \oslash \otimes \pm \rhd∗ \setminus \sqcap \sqcup \star × / . E D ] ∨ ∧ o \times \triangleleft \triangleright \unlhd∗ \unrhd∗ \uplus \vee \wedge \wr Not predefined in LATEX 2ε . Use one of the packages latexsym, amsfonts, amssymb, txfonts, pxfonts, or wasysym. Table 40: AMS Binary Operators Z e ~ \barwedge \boxdot \boxminus \boxplus \boxtimes \Cap \centerdot \circledast } d g f > u [ \circledcirc \circleddash \Cup \curlyvee \curlywedge \divideontimes \dotplus \doublebarwedge 19 | h n i o r Y \intercal \leftthreetimes \ltimes \rightthreetimes \rtimes \smallsetminus \veebar Table 41: stmaryrd Binary Operators N O i k j l . / ' & ) # ( \baro \bbslash \binampersand \bindnasrepma \boxast \boxbar \boxbox \boxbslash \boxcircle \boxdot \boxempty \boxslash \curlyveedownarrow \curlyveeuparrow \curlywedgedownarrow \curlywedgeuparrow \fatbslash \fatsemi \fatslash 9 2 ! ` : @ ; = < > ? 3 8 , \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 5 4 6 7 " Table 42: wasysym Binary Operators C \lhd \LHD # B \ocircle \rhd E \RHD \unlhd D \unrhd Table 43: txfonts/pxfonts Binary Operators V W U \circledbar \circledbslash \circledvee T M \circledwedge \invamp \medbullet } | \medcirc \sqcapplus \sqcupplus Table 44: mathdesign Binary Operators _ \dtimes ] \udtimes ^ \utimes The mathdesign package additionally provides versions of each of the binary operators shown in Table 40 on the previous page. Table 45: cmll Binary Operators ` ∗ & \parr \with∗ \with differs from “&” in terms of its math-mode spacing: $A \& B$ produces “A&B”, for example, while $A \with B$ produces “A & B”. 20 Table 46: ulsy Geometric Binary Operators T \ S [ JK LM \odplus Table 47: Variable-sized Math Operators V^ NO \bigwedge \bigotimes \bigcap `a F G \coprod \bigsqcup \bigcup Z R U ] \biguplus \int \bigodot I H W _ \bigvee \oint \bigoplus QY \prod PX \sum Table 48: AMS Variable-sized Math Operators ZZ ZZZ RR RRR \iint \iiint RRRR em bj ck ZZZZ \iiiint R ··· R Z Z ··· \idotsint Table 49: stmaryrd Variable-sized Math g o \bigbox \biginterleave \bignplus \bigcurlyvee f n \bigcurlywedge \bigparallel Operators \bigsqcap h ` \bigtriangledown ai \bigtriangleup Table 50: wasysym Variable-sized Math Operators r w \int† r w \varint∗ ! " u z \iint \varoint∗ # $ \iiint \oiint None of the preceding symbols are defined when wasysym is passed the nointegrals option. ∗ Not defined when wasysym is passed the integrals option. † Defined only when wasysym is passed the integrals option. Otherwise, the default LATEX \int glyph (as shown in Table 47) is used. 21 Table 51: txfonts/pxfonts Variable-sized Math Operators > ? \bigsqcapplus \bigsqcupplus % & # $ ! " L M D E ) * H I @ A \ointclockwise \ointctrclockwise R S \fint ' ( P Q \idotsint \iiiint \sqint N O \iint B C \oiiintclockwise J K \oiiintctrclockwise \oiiint \oiintclockwise - . + , \oiint 22 \varoiiintclockwise \varoiiintctrclockwise \varoiintclockwise \varoiintctrclockwise \varointclockwise \oiintctrclockwise \sqiint F G \iiint \sqiiint \varointctrclockwise \varprod Table 52: esint Variable-sized Math Operators ¯ ˙ \dotsint ffl ˘ \iiiint ¨ & \landdownint $ # „ \sqiint “ \sqint " ! \iint % \ointctrclockwise › \iiint ˜ ‰ ” ˚ ˝ \ointclockwise \fint ˇ ı \varoiint fi ff \varointclockwise ffi fl \landupint \varointctrclockwise ‹ ‚ \oiint Table 53: mathdesign Variable-sized Math Operators \intclockwise \oiiint \ointclockwise \ointctrclockwise \oiint The mathdesign package provides three versions of each R integral—in Rfact, of every symbol—to accompany different text fonts: Utopia ( ), Garamond ( ), and CharR ter ( ). Table 54: cmll Large Math Operators ˙ ˘ \bigparr 23 \bigwith Table 55: Binary Relations ≈ ./ a ∗ ≡ _ Z | |= k \approx \asymp \bowtie \cong \dashv \doteq ⊥ ≺ ∝ ∼ ' \equiv \frown \Join∗ \mid \models \parallel ^ ` \perp \prec \preceq \propto \sim \simeq \smile \succ \succeq \vdash Not predefined in LATEX 2ε . Use one of the packages latexsym, amsfonts, amssymb, mathabx, txfonts, pxfonts, or wasysym. Table 56: AMS Binary Relations u v w ∵ G m l $ 2 3 + \approxeq \backepsilon \backsim \backsimeq \because \between \Bumpeq \bumpeq \circeq \curlyeqprec \curlyeqsucc \doteqdot P ; ( t w 4 : p q a ` \eqcirc \fallingdotseq \multimap \pitchfork \precapprox \preccurlyeq \precsim \risingdotseq \shortmid \shortparallel \smallfrown \smallsmile v < % ∴ ≈ ∼ ∝ \succapprox \succcurlyeq \succsim \therefore \thickapprox \thicksim \varpropto \Vdash \vDash \Vvdash Table 57: AMS Negated Binary Relations ∦ ⊀ . \ncong \nmid \nparallel \nprec \npreceq \nshortmid / / 2 0 \nshortparallel \nsim \nsucc \nsucceq \nvDash \nvdash 3 \nVDash \precnapprox \precnsim \succnapprox \succnsim Table 58: stmaryrd Binary Relations A \inplus B \niplus Table 59: wasysym Binary Relations Z \invneg \Join { \leadsto \logof 24 \wasypropto Table 60: txfonts/pxfonts Binary Relations S R D H F B I E C G h ∗ \circledgtr \circledless \colonapprox \Colonapprox \coloneq \Coloneq \Coloneqq \coloneqq∗ \Colonsim \colonsim \Eqcolon \eqcolon \eqqcolon \Eqqcolon \eqsim X \ ( [ \lJoin \lrtimes \multimap \multimapboth \multimapbothvert \multimapdot \multimapdotboth \multimapdotbothA \multimapdotbothAvert \multimapdotbothB \multimapdotbothBvert \multimapdotbothvert \multimapdotinv \multimapinv \openJoin ] y Y K J L ∥ \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 61: txfonts/pxfonts Negated Binary Relations 6 * + ( ) . 7 \napproxeq \nasymp \nbacksim \nbacksimeq \nbumpeq \nBumpeq \nequiv \nprecapprox $ 9 ; 8 % : \npreccurlyeq \npreceqq \nprecsim \nsimeq \nsuccapprox \nsucccurlyeq \nsucceqq \nsuccsim 5 h g 1 \nthickapprox \ntwoheadleftarrow \ntwoheadrightarrow \nvarparallel \nvarparallelinv \nVdash Table 62: mathtools Binary Relations ::≈ :≈ := ::= ::− \Colonapprox \colonapprox \coloneqq \Coloneqq \Coloneq :− :∼ ::∼ :: −: \coloneq \colonsim \Colonsim \dblcolon \eqcolon −:: =: =:: \Eqcolon \eqqcolon \Eqqcolon Similar symbols can be defined using mathtools’s \vcentcolon, which produces a colon centered on the font’s math axis: =:= “=:=” =:= vs. “=\vcentcolon=” 25 Table 63: trsym Binary Relations \InversTransformHoriz \InversTransformVert \TransformHoriz \TransformVert Table 64: trfsigns Binary Relations c c c s c .... s . ... .... \dfourier \fourier \laplace \ztransf s s .... c c c c \Dfourier \Fourier \Laplace \Ztransf Table 65: cmll Binary Relations ¨ ˚ ˝ ˇ \coh \incoh \scoh \sincoh Table 66: Subset and Superset Relations @ v A ∗ \sqsubset∗ \sqsubseteq \sqsupset∗ w ⊂ ⊆ \sqsupseteq \subset \subseteq ⊃ ⊇ \supset \supseteq Not predefined in LATEX 2ε . Use one of the packages latexsym, amsfonts, amssymb, mathabx, txfonts, pxfonts, or wasysym. Table 67: AMS Subset and Superset Relations * + # @ A b \nsubseteq \nsupseteq \nsupseteqq \sqsubset \sqsupset \Subset j ( $ c k ) \subseteqq \subsetneq \subsetneqq \Supset \supseteqq \supsetneq % & ! ' \supsetneqq \varsubsetneq \varsubsetneqq \varsupsetneq \varsupsetneqq Table 68: stmaryrd Subset and Superset Relations D F \subsetplus \subsetpluseq E G \supsetplus \supsetpluseq Table 69: wasysym Subset and Superset Relations @ A \sqsubset 26 \sqsupset Table 70: txfonts/pxfonts Subset and Superset Relations \nsqsubset \nsqsubseteq \nsqsupset a @ b \nsqsupseteq \nSubset \nsubseteqq A > " ? \nSupset Table 71: Inequalities ≥ \geq \gg ≤ \leq \ll , \neq Table 72: AMS Inequalities 1 \eqslantgtr m \gtrdot Q \lesseqgtr \ngeq 0 \eqslantless R \gtreqless S \lesseqqgtr \ngeqq = \geqq T \gtreqqless ≶ \lessgtr \ngeqslant > \geqslant ≷ \gtrless . \lesssim ≯ \ngtr ≫ \ggg & \gtrsim ≪ \lll \nleq \gnapprox \gvertneqq \lnapprox \nleqq \gneq 5 \leqq \lneq \nleqslant \gneqq 6 \leqslant \lneqq ≮ \nless \gnsim / \lessapprox \lnsim ' \gtrapprox l \lessdot \lvertneqq Table 73: wasysym Inequalities ? > \apprge \apprle Table 74: txfonts/pxfonts Inequalities 4 # & \ngg \ngtrapprox \ngtrless ! " ' \ngtrsim \nlessapprox \nlessgtr 3 \nlesssim \nll Table 75: AMS Triangle Relations J I 6 \blacktriangleleft \blacktriangleright \ntriangleleft 5 7 4 \ntrianglelefteq \ntriangleright \ntrianglerighteq 27 E , D \trianglelefteq \triangleq \trianglerighteq C B \vartriangleleft \vartriangleright Table 76: stmaryrd Triangle Relations P R \trianglelefteqslant \ntrianglelefteqslant Q S \trianglerighteqslant \ntrianglerighteqslant Table 77: Arrows ⇓ ↓ ←,→ { ← ⇐ ⇔ ↔ \Downarrow \downarrow \hookleftarrow \hookrightarrow \leadsto∗ \leftarrow \Leftarrow \Leftrightarrow \leftrightarrow ←− ⇐= ←→ ⇐⇒ 7−→ =⇒ −→ 7→ % ⇒ → & . ↑ ⇑ l m \longleftarrow \Longleftarrow \longleftrightarrow \Longleftrightarrow \longmapsto \Longrightarrow \longrightarrow \mapsto \nearrow† \nwarrow \Rightarrow \rightarrow \searrow \swarrow \uparrow \Uparrow \updownarrow \Updownarrow ∗ Not predefined in LATEX 2ε . Use one of the packages latexsym, amsfonts, amssymb, txfonts, pxfonts, or wasysym. † See the note beneath Table 118 for information about how to put a diagonal arrow *0 ~ ”) . across a mathematical expression (as in “ ∇ ·B Table 78: Harpoons ) ( \leftharpoondown \leftharpoonup + * \rightharpoondown \rightharpoonup * ) \rightleftharpoons Table 79: textcomp Text-mode Arrows ↓ ← \textdownarrow \textleftarrow → ↑ \textrightarrow \textuparrow Table 80: AMS Arrows x y c d \circlearrowleft \circlearrowright \curvearrowleft \curvearrowright \dashleftarrow \dashrightarrow \downdownarrows \leftarrowtail ⇔ ! W " # \leftleftarrows \leftrightarrows \leftrightsquigarrow \Lleftarrow \looparrowleft \looparrowright \Lsh \rightarrowtail 28 ⇒ \rightleftarrows \rightrightarrows \rightsquigarrow \Rsh \twoheadleftarrow \twoheadrightarrow \upuparrows Table 81: AMS Negated Arrows : 8 \nLeftarrow \nleftarrow \nLeftrightarrow \nleftrightarrow < = \nRightarrow \nrightarrow ; 9 Table 82: AMS Harpoons \downharpoonleft \downharpoonright \leftrightharpoons \rightleftharpoons \upharpoonleft \upharpoonright Table 83: stmaryrd Arrows ^ ] ⇐=\ ←−[ =⇒ ⇐\ ←[ ⇒ 1 0 _ \leftarrowtriangle \leftrightarroweq \leftrightarrowtriangle \lightning \Longmapsfrom \longmapsfrom \Longmapsto \Mapsfrom \mapsfrom \Mapsto \nnearrow \nnwarrow \rightarrowtriangle \shortdownarrow % $ \shortleftarrow \shortrightarrow \shortuparrow \ssearrow \sswarrow Table 84: txfonts/pxfonts Arrows \boxdotLeft \boxdotleft \boxdotright \boxdotRight \boxLeft \boxleft \boxright \boxRight \circleddotleft \circleddotright \circleleft \circleright \dashleftrightarrow \DiamonddotLeft \Diamonddotleft \Diamonddotright \DiamonddotRight \DiamondLeft e f t v V u w \Diamondleft \Diamondright \DiamondRight \leftsquigarrow \Nearrow \Nwarrow \Rrightarrow \Searrow \Swarrow Table 85: chemarrow Arrows A \blitza \chemarrow Table 86: ulsy Contradiction Symbols \blitzb \blitzc \blitzd Table 87: Extension Characters − = \relbar 29 \Relbar \blitze Table 88: stmaryrd Extension Characters X Y \Arrownot \arrownot [ \Mapsfromchar \mapsfromchar \ \Mapstochar Table 89: txfonts/pxfonts Extension Characters \Mappedfromchar \mappedfromchar \Mmappedfromchar \mmappedfromchar \Mmapstochar \mmapstochar Table 90: Log-like Symbols \arccos \arcsin \arctan \arg \cos \cosh \cot \coth \csc \deg \det \dim \exp \gcd \hom \inf \ker \lg \lim \liminf \limsup \ln \log \max \min \Pr \sec \sin \sinh \sup \tan \tanh Calling the above “symbols” may be a bit misleading.1 Each log-like symbol merely produces the eponymous textual equivalent, but with proper surrounding spacing. See Section 7.4 for more information about log-like symbols. As \bmod and \pmod are arguably not symbols we refer the reader to the Short Math Guide for LATEX [Dow00] for samples. Table 91: AMS Log-like Symbols inj lim \injlim proj lim \projlim lim −→ lim \varinjlim lim \varlimsup \varliminf lim ←− \varprojlim Load the amsmath package to get these symbols. See Section 7.4 for some additional comments regarding log-like symbols. As \mod and \pod are arguably not symbols we refer the reader to the Short Math Guide for LATEX [Dow00] for samples. 1 Michael J. Downes prefers the more general term, “atomic math objects”. 30 Table 92: Greek Letters α β γ δ ε ζ η \alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta θ ϑ ι κ λ µ ν ξ \theta \vartheta \iota \kappa \lambda \mu \nu \xi o π $ ρ % σ ς o \pi \varpi \rho \varrho \sigma \varsigma τ υ φ ϕ χ ψ ω \tau \upsilon \phi \varphi \chi \psi \omega Γ ∆ Θ \Gamma \Delta \Theta Λ Ξ Π \Lambda \Xi \Pi Σ Υ Φ \Sigma \Upsilon \Phi Ψ Ω \Psi \Omega The remaining Greek majuscules can be produced with ordinary Latin letters. The symbol “M”, for instance, is used for both an uppercase “m” and an uppercase “µ”. See Section 7.5 for examples of how to produce bold Greek letters. Table 93: AMS Greek Letters z \digamma \varkappa κ Table 94: txfonts/pxfonts Upright Greek Letters α β γ δ ε ζ η \alphaup \betaup \gammaup \deltaup \epsilonup \varepsilonup \zetaup \etaup θ ϑ ι κ λ µ ν ξ \thetaup \varthetaup \iotaup \kappaup \lambdaup \muup \nuup \xiup 31 π $ ρ % σ ς τ υ \piup \varpiup \rhoup \varrhoup \sigmaup \varsigmaup \tauup \upsilonup φ ϕ χ ψ ω \phiup \varphiup \chiup \psiup \omegaup Table 95: upgreek Upright Greek Letters α β γ δ ε ε ζ η \upalpha \upbeta \upgamma \updelta \upepsilon \upvarepsilon \upzeta \upeta θ ϑ ι κ λ µ ν ξ \uptheta \upvartheta \upiota \upkappa \uplambda \upmu \upnu \upxi π ϖ ρ ρ σ σ τ υ \uppi \upvarpi \uprho \upvarrho \upsigma \upvarsigma \uptau \upupsilon φ ϕ χ ψ ω \upphi \upvarphi \upchi \uppsi \upomega Γ ∆ Θ \Upgamma \Updelta \Uptheta Λ Ξ Π \Uplambda \Upxi \Uppi Σ Υ Φ \Upsigma \Upupsilon \Upphi Ψ Ω \Uppsi \Upomega upgreek utilizes upright Greek characters from either the PostScript Symbol font (depicted above) or Euler Roman. As a result, the glyphs may appear slightly different from the above. Contrast, for example, “Γ∆Θαβγ” (Symbol) with “Γ∆Θαβγ” (Euler). Table 96: txfonts/pxfonts Variant Latin Letters 1 \varg 3 4 \varv 2 \varw \vary Pass the varg option to txfonts/pxfonts to replace g, v, w, and y with 1, 3, 4, and 2 in every mathematical expression in your document. Table 97: AMS Hebrew Letters i \beth ג \gimel k \daleth \aleph (ℵ) appears in Table 139 on page 42. Table 98: Letter-like Symbols ⊥ ` ∃ \bot \ell \exists ∀ ~ = \forall \hbar \Im ı ∈ \imath \in \jmath 3 ∂ < \ni \partial \Re Table 99: AMS Letter-like Symbols k r s \Bbbk \circledR \circledS { ` a \complement \Finv \Game 32 ~ } @ \hbar \hslash \nexists > ℘ \top \wp Table 100: txfonts/pxfonts Letter-like Symbols ¢ ∗ \mathcent £ \mathsterling∗ < \notin = \notni It’s generally preferable to use the corresponding symbol from Table 3 on page 7 because the symbols in that table work properly in both text mode and math mode. Table 101: trfsigns Letter-like Symbols e j \e \im Table 102: mathdesign Letter-like Symbols ∈ 6 ∈ 3 \in \notin \notsmallin \notsmallowns \owns \smallin \smallowns The mathdesign package additionally provides versions of each of the letter-like symbols shown in Table 99 on the previous page. Table 103: AMS Delimiters p x q y \ulcorner \llcorner \urcorner \lrcorner Table 104: stmaryrd Delimiters P V L \Lbag \llceil \llparenthesis Q W M \Rbag \rrceil \rrparenthesis N T \lbag \llfloor Table 105: nath Delimiters \niv \vin 33 O U \rbag \rrfloor ↓ h y D d l b j ( / . \downarrow \langle \lceil \lfloor ( / ⇓ i w w E e m c k ) \ / Table 106: Variable-sized Delimiters h \Downarrow [ [ \rangle | | x \rceil ↑ \uparrow x \rfloor l y \updownarrow n ) { \{ ] i k ~ w w ~ w o ⇑ m } ] \| \Uparrow \Updownarrow \} \backslash When used with \left and \right, these symbols expand to the height of the enclosed math expression. Note that \vert is a synonym for |, and \Vert is a synonym for \|. ε-TEX provides a \middle analogue to \left and \right. \middle can be used, for example, to make an internal “|” expand to the height of the surrounding \left and \right symbols. (This capability is commonly needed when typesetting adjacent bras and kets in Dirac notation: “hφ|ψi”). A similar effect can be achieved in conventional LATEX using the braket package. \lmoustache \arrowvert Table 107: Large, Variable-sized Delimiters \lgroup \rmoustache w w w w \bracevert w w \Arrowvert w \rgroup These symbols must be used with \left and \right. The mathabx package, however, redefines \lgroup and \rgroup so that those symbols can work without \left and \right. Table 108: AMS Variable-sized Delimiters | \lvert | \rvert k \lVert k \rVert According to the amsmath documentation [AMS99], the preceding symbols are intended to be used as delimiters (e.g., as in “|−z|”) while the \vert and \Vert symbols (Table 106) are intended to be used as operators (e.g., as in “p|q”). 34 Table 109: stmaryrd Variable-sized Delimiters ~ \llbracket \rrbracket Table 110: mathdesign Variable-sized Delimiters Ð Ð Ð Ð Ñ Ñ Ñ Ñ Ð Ñ \leftwave Ð \leftevaw Ñ Ð Ð Ð Ð Ñ Ñ Ñ Ñ \rightwave \rightevaw The definitions of these symbols include a preceding \left or \right. It is therefore an error to specify \left or \right explicitly. The internal, “primitive” versions of these symbols are called \lwave, \rwave, \levaw, and \revaw. Table 111: nath Variable-sized Delimiters (Double) ∗ hh DD [[ hh dd ll bb jj || \lAngle ii EE \lBrack ]] ii \lCeil ee mm \lFloor cc kk \lVert∗ || \rAngle \rBrack \rCeil \rFloor \rVert∗ nath redefines all of the above to include implicit \left and \right commands. Hence, separate \lVert and \rVert commands are needed to disambiguate whether “|” is a left or right delimiter. All of the symbols in Table 111 can also be expressed using the \double macro. See the nath documentation for examples and additional information. 35 Table 112: nath Variable-sized Delimiters (Triple) ∗ hhh DDD [[[ hhh ||| \triple< iii EEE \triple[ ]]] iii \ltriple|∗ ||| \triple> \triple] \rtriple|∗ Similar to \lVert and \rVert in Table 111, \ltriple and \rtriple must be used instead of \triple to disambiguate whether “|” is a left or right delimiter. Note that \triple—and the corresponding \double—is actually a macro that takes a delimiter as an argument. Table 113: textcomp Text-mode Delimiters 〈 〚 ⁅ 〉 〛 ⁆ \textlangle \textlbrackdbl \textlquill \textrangle \textrbrackdbl \textrquill Table 114: metre Text-mode Delimiters } { i h \alad \alas \angud \angus } { i h † \Alad \Alas \Angud \Angus ]] [[ \crux \quadrad \quadras † \Crux ]] [[ \Quadrad \Quadras Table 115: Math-mode Accents á ā ă \acute{a} \bar{a} \breve{a} ǎ ä ȧ \check{a} \ddot{a} \dot{a} à â å \grave{a} \hat{a} \mathring{a} ã ~a \tilde{a} \vec{a} Also note the existence of \imath and \jmath, which produce dotless versions of “i ” and “j ”. (See Table 139 on page 42.) These are useful when the accent is supposed to replace the dot. For example, “\hat{\imath}” produces a correct “ ı̂ ”, while “\hat{i}” would yield the rather odd-looking “ î ”. 36 Table 116: AMS Math-mode Accents ... .... a \dddot{a} a \ddddot{a} These accents are also provided by the mathabx and accents packages and are redefined by the mathdots package if the amsmath and amssymb packages have previously been loaded. All of the variations except for the original AMS ones tighten the space ... between the dots (from a to ˙˙˙ a). The mathabx and mathdots ... versions also function a properly within subscripts and superscripts (x˙˙˙ instead of x a ) . Table 117: yhmath Math-mode Accents å \ring{a} This symbol is largely obsolete, as standard LATEX 2ε has supported \mathring since June, 1998 [LAT98]. Table 118: Extensible Accents › abc ←− abc abc z}|{ abc √ abc \widehat{abc}∗ \overleftarrow{abc}† ” abc −→ abc \overline{abc} abc \underline{abc} \overbrace{abc} abc |{z} \underbrace{abc} \widetilde{abc}∗ \overrightarrow{abc}† \sqrt{abc}‡ As demonstrated in a 1997 TUGboat article about typesetting long-division problems [Gib97], an extensible long-division sign (“ )abc ”) can be faked by putting a “\big)” in a tabular environment with an \hline or \cline in the preceding row. The article also presents a piece of code (uploaded to CTAN as longdiv.tex) that automatically solves and typesets—by putting an \overline atop “\big)” and the desired text—long-division problems. See also the polynom package, which automatically solves and typesets polynomial-division problems in a similar manner. ∗ These symbols are made more extensible by the MnSymbol package and even more extensible by the yhmath package. † If you’re looking for an extensible diagonal line or arrow to be used for canceling or 5 : or “ −x” reducing mathematical subexpressions (e.g., “ x+ 3+ 2 ”) then consider using the cancel package. ‡ With an optional argument, \sqrt typesets nth roots. For example, √ √ 3 n “\sqrt[3]{abc}” produces “ abc ” and “\sqrt[n]{abc}” produces “ abc ”. 37 Table 119: yhmath Extensible Accents ˆ abc \wideparen{abc} ˚ ˆ abc \widering{abc} È abc \widetriangle{abc} Table 120: AMS Extensible Accents ← → abc \overleftrightarrow{abc} abc ←− \underleftarrow{abc} abc ← → abc −→ \underleftrightarrow{abc} \underrightarrow{abc} Table 121: mathtools Extensible Accents ∗ z}|{ abc \overbrace{abc} abc \overbracket{abc}∗ abc |{z} abc \underbrace{abc} \underbracket{abc}∗ \overbracket and \underbracket accept optional arguments that specify the bracket height and thickness. See the mathtools documentation for more information. Table 122: esvect Extensible Accents #” abc \vv{abc} with package option a #„ abc \vv{abc} with package option b #« abc \vv{abc} with package option c #» abc \vv{abc} with package option d #– abc \vv{abc} with package option e #— abc \vv{abc} with package option f # abc \vv{abc} with package option g #‰ abc \vv{abc} with package option h esvect also defines a \vv* macro which is used to typeset arrows over vector variables with subscripts. See the esvect documentation for more information. Table 123: undertilde Extensible Accents abc › \utilde{abc} Because \utilde is based on \widetilde it is also made more extensible by the yhmath package. 38 Table 124: AMS Extensible Arrows abc ←−− abc −−→ \xleftarrow{abc} \xrightarrow{abc} Table 125: mathtools Extensible Arrows abc ←−−abc ,−−→ abc ⇐== abc )−− abc (−− abc ←−→ abc ⇐=⇒ abc \xhookleftarrow{abc} ( − − −− + \xhookrightarrow{abc} 7−−→ abc abc ==⇒ \xLeftarrow{abc} −−+ abc −−* \xleftharpoonup{abc} abc −− * ) − − \xleftrightarrow{abc} \xmapsto{abc} \xRightarrow{abc} abc \xleftharpoondown{abc} \xleftrightharpoons{abc} \xrightharpoondown{abc} \xrightharpoonup{abc} \xrightleftharpoons{abc} \xLeftrightarrow{abc} Table 126: chemarr Extensible Arrows abc −− * ) − − \xrightleftharpoons{abc} Table 127: chemarrow Extensible Arrows abc DGGGGGGG \autoleftarrow{abc}{def} abc EGGGGGGG GGGGGGGC def \autoleftrightharpoons{abc}{def} def abc GGGGGGGA \autorightarrow{abc}{def} abc GGGGGGGB FGGGGGGG def \autorightleftharpoons{abc}{def} def In addition to the symbols shown above, chemarrow also provides \larrowfill, \rarrowfill, \leftrightharpoonsfill, and \rightleftharpoonsfill macros. Each of these takes a length argument and produces an arrow of the specified length. Table 128: trfsigns Extensible Arrows a \dft{a} a 39 \DFT{a} Table 129: extarrows Extensible Arrows abc ⇐=⇒ abc ←−→ abc ==== abc ⇐== abc ←−− abc ⇐= =⇒ \xLeftrightarrow{abc} \xLongleftrightarrow{abc} abc ←− −→ \xleftrightarrow{abc} \xlongleftrightarrow{abc} abc ==⇒ \xlongequal{abc} \xLongrightarrow{abc} abc −−→ \xLongleftarrow{abc} \xlongrightarrow{abc} \xlongleftarrow{abc} Table 130: extpfeil Extensible Arrows abc ==== abc abc 7−−→ \xlongequal{abc} −−−− abc −−−− \xtwoheadleftarrow{abc} \xmapsto{abc} \xtwoheadrightarrow{abc} The extpfeil package also provides a \newextarrow command to help you define your own extensible arrow symbols. See the extpfeil documentation for more information. Table 131: holtpolt Non-commutative Division Symbols abc def \holter{abc}{def} abc def \polter{abc}{def} Table 132: Dots · \cdotp ··· \cdots : .. . \colon∗ . \ldotp \ddots† ... \ldots .. . \vdots† ∗ While “:” is valid in math mode, \colon uses different surrounding spacing. See Section 7.4 and the Short Math Guide for LATEX [Dow00] for more information on math-mode spacing. † The mathdots package redefines \ddots and \vdots to make them scale properly with font size. (They normally scale horizontally but not vertically.) \fixedddots and \fixedvdots provide the original, fixed-height functionality of LATEX 2ε ’s \ddots and \vdots macros. 40 Table 133: AMS Dots ∵ ··· ... ∗ \because∗ \dotsb \dotsc ··· ··· ... ∴ \dotsi \dotsm \dotso \therefore∗ \because and \therefore are defined as binary relations and therefore also appear in Table 56 on page 24. The AMS \dots symbols are named according to their intended usage: \dotsb between pairs of binary operators/relations, \dotsc between pairs of commas, \dotsi between pairs of integrals, \dotsm between pairs of multiplication signs, and \dotso between other symbol pairs. Table 134: wasysym Dots ∴ \wasytherefore Table 135: mathdots Dots . .. \iddots Table 136: yhmath Dots .. . \adots Table 137: mathcomp Math Symbols ℃ µ \tccentigrade \tcmu Ω ‱ \tcohm \tcpertenthousand ‰ \tcperthousand Table 138: marvosym Digits 0 1 \MVZero \MVOne 2 3 \MVTwo \MVThree 4 5 \MVFour \MVFive 41 6 7 \MVSix \MVSeven 8 9 \MVEight \MVNine Table 139: Miscellaneous LATEX 2ε Math Symbols ℵ \aleph \angle \backslash \Box∗,† \clubsuit 6 \ ♣ \Diamond∗ \diamondsuit \emptyset‡ \flat \heartsuit ^ ♦ ∅ [ ♥ ∞ f ∇ \ ¬ \infty \mho∗ \nabla \natural \neg 0 ] ♠ √ 4 \prime \sharp \spadesuit \surd \triangle ∗ Not predefined in LATEX 2ε . Use one of the packages latexsym, amsfonts, amssymb, txfonts, pxfonts, or wasysym. Note, however, that amsfonts and amssymb define \Diamond to produce the same glyph as \lozenge (“♦”); the other packages produce a squarer \Diamond as depicted above. † To use \Box—or any other symbol—as an end-of-proof (Q.E.D.) marker, consider using the ntheorem package, which properly juxtaposes a symbol with the end of the proof text. ‡ Many people prefer the look of AMS’s \varnothing (“∅”, Table 140) to that of LATEX’s \emptyset. Table 140: Miscellaneous AMS Math Symbols ∠ 8 F N \angle \backprime \bigstar \blacklozenge \blacksquare \blacktriangle H ð ♦ ] \blacktriangledown \diagdown \diagup \eth \lozenge \measuredangle f ^ O ∅ M \mho \sphericalangle \square \triangledown \varnothing \vartriangle Table 141: Miscellaneous wasysym Math Symbols ∗ 2 \Box 3 \Diamond f \mho∗ \varangle wasysym also defines an \agemO symbol, which is the same glyph as \mho but is intended for use in text mode. Table 142: Miscellaneous txfonts/pxfonts Math Symbols _ o \Diamondblack \Diamonddot \lambdabar n p q \lambdaslash \varclubsuit \vardiamondsuit 42 r s \varheartsuit \varspadesuit Table 143: Miscellaneous textcomp Text-mode Math Symbols ° ÷ ⁄ ¬ − \textdegree∗ \textdiv \textfractionsolidus \textlnot \textminus ½ ¼ ¹ ± √ \textonehalf† \textonequarter† \textonesuperior \textpm \textsurd ¾ ³ × ² \textthreequarters† \textthreesuperior \texttimes \texttwosuperior ∗ If you prefer a larger degree symbol you might consider defining one as “\ensuremath{^\circ}” (“◦ ”). † nicefrac (part of the units package) can be used to construct vulgar fractions like “1/2”, “1/4”, “3/4”, and even “c/o”. Table 144: Miscellaneous marvosym Math Symbols W = \Anglesign \Corresponds ÷ p \Squaredot \Vectorarrow P \Vectorarrowhigh Table 145: Miscellaneous mathdesign Math Symbols ∟ \rightangle Table 146: Miscellaneous arev Math Symbols ♨ ♧ \steaming \varclub ♦ ♥ \vardiamond \varheart 43 ♤ \varspade Table 147: Math Alphabets Font sample Generating command Required package ABCdef123 ABCdef123 ABCdef ABC ABC or ABC or ABCdef123 ABC \mathrm{ABCdef123} \mathit{ABCdef123} \mathnormal{ABCdef123} \mathcal{ABC} \mathscr{ABC} \mathcal{ABC} \mathcal{ABC} \mathscr{ABC} \mathpzc{ABCdef123} \mathbb{ABC} \varmathbb{ABC} \mathbb{ABCdef123} \mathbbm{ABCdef12} \mathbbmss{ABCdef12} \mathbbmtt{ABCdef12} \mathds{ABC1} \mathds{ABC1} \mathfrak{ABCdef123} \textfrak{ABCdef123} \textswab{ABCdef123} \textgoth{ABCdef123} none none none none mathrsfs calrsfs euscript with the mathcal option euscript with the mathscr option none; manually defined∗ amsfonts,amssymb, txfonts, or pxfonts txfonts or pxfonts bbold or mathbbol† bbm bbm bbm dsfont dsfont with the sans option eufrak yfonts‡ yfonts‡ yfonts‡ ABCdef123 ABCdef12 ABCdef12 ABCdef12 ABC1 ABC1 ABCdef123 ABCdef123 ABCdef123 ABCˇf123 ∗ Put “\DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it}” in your document’s preamble to make \mathpzc typeset its argument in Zapf Chancery. As a similar trick, you can typeset the Calligra font’s script “r ” (or other calligraphic symbols) in math mode by loading the calligra package and putting “\DeclareMathAlphabet{\mathcalligra}{T1}{calligra}{m}{n}” in your document’s preamble to make \mathcalligra typeset its argument in the Calligra font. (You may also want to specify “\DeclareFontShape{T1}{calligra}{m}{n}{<->s*[2.2]callig15}{}” to set Calligra at 2.2 times its design size for a better blend with typical body fonts.) † The mathbbol package defines some additional blackboard bold characters: parentheses, square brackets, angle brackets, and—if the bbgreekl option is passed to matbbol—Greek letters. For instance, “<[()]>” is produced by “\mathbb{\Langle \Lbrack\Lparen\bbalpha\bbbeta\bbgamma\Rparen\Rbrack\Rangle}”. mbboard extends the blackboard bold symbol set significantly further. It supports not only the Greek alphabet—including “Greek-like” symbols such as \bbnabla— but also all punctuation marks, various currency symbols such as \bbdollar and \bbeuro, and the Hebrew alphabet. ‡ As their \text. . . names imply, the fonts provided by the yfonts package are actually text fonts. They are included in Table 147 because they are frequently used in a mathematical context. 44 4 Science and technology symbols This section lists symbols that are employed in various branches of science and engineering. Table 148: gensymb Symbols Defined to Work in Both Math and Text Mode ℃ ° µ Ω \celsius \degree ‰ \micro \ohm \perthousand Table 149: wasysym Electrical and Physical Symbols : ! & \AC @ :::: \VHF F \photon QPPPPPPR \HF Table 150: ifsym Pulse Diagram Symbols \FallingEdge \LongPulseHigh ' $ % \LongPulseLow \PulseHigh " # \PulseLow \RaisingEdge \gluon \ShortPulseHigh \ShortPulseLow In addition, within \textifsym{. . .}, the following codes are valid: l L l L m M m M h H d D h H d D < = < << > ? > >> mm<DDD>mm This enables one to write “\textifsym{mm<DDD>mm}” to get “ ” or “\textifsym{L|H|L|H|L}” to get “ ”. See also the timing package, which provides a wide variety of pulse-diagram symbols within an environment designed specifically for typesetting pulse diagrams. L|H|L|H|L Finally, \textifsym supports the display of segmented digits, as would appear on an LCD: “\textifsym{-123.456}” produces “ ”. “\textifsym{b}” outputs a blank with the same width as an “ ”. -123.456 8 Table 151: ar Aspect Ratio Symbol A \AR Table 152: textcomp Text-mode Science and Engineering Symbols ℃ \textcelsius ℧ \textmho 45 µ \textmu Ω \textohm Table 153: wasysym Astronomical Symbols ' ♀ \mercury \venus \earth \mars X Y \jupiter \saturn \astrosun # \fullmoon $ \leftmoon ] ^ \aries \taurus \gemini _ ` \cancer \leo \virgo a b c \libra \scorpio \sagittarius e d f \aquarius \capricornus \pisces \ascnode \descnode V \conjunction W \opposition ♁ ♂ Z [ \uranus \neptune \ \pluto \newmoon % \rightmoon \vernal Table 154: marvosym Astronomical Symbols  à \Mercury \Venus Ê Ä \Earth \Mars Á \Moon À \Sun à á â \Aries \Taurus \Gemini ã ä å \Cancer \Leo \Virgo Å Æ \Jupiter \Saturn Ç È \Uranus \Neptune æ ç è \Libra \Scorpio \Sagittarius é ê ë \Capricorn \Aquarius \Pisces É \Pluto Note that \Aries . . . \Pisces can also be specified with \Zodiac{1} . . . \Zodiac{12}. Table 155: wasysym APL Symbols ~ F o } \APLbox \APLcomment \APLdown \APLdownarrowbox \APLinput ÷ ~ p − q \APLinv \APLleftarrowbox \APLlog \APLminus \APLrightarrowbox E n − \ − / \APLstar \APLup \APLuparrowbox \notbackslash \notslash Table 156: wasysym APL Modifiers ◦ \APLcirc{} ∼ \APLnot{} | \APLvert{} Table 157: marvosym Computer Hardware Symbols Í Ï \ComputerMouse \Keyboard Ñ Ò \ParallelPort \Printer 46 Î Ð \SerialInterface \SerialPort Table 158: keystroke Computer Keys Alt \Alt Enter \Enter∗ PrtSc \PrtSc∗ AltGr \AltGr Esc \Esc∗ → \RArrow ∗ ∗ Break \Break Home \Home ←- \Return →−7 \BSpace† Ins \Ins∗ Scroll \Scroll∗ Ctrl \Ctrl∗ ← \LArrow Shift ⇑ \Shift∗ ↓ Num Del \DArrow \Del∗ Page ↓ \NumLock \PgDown∗ → − − − − → \Spacebar \Tab† End \End∗ Page ↑ \PgUp∗ ↑ \UArrow ∗ Changes based on the language option passed to the keystroke package. For example, the german option makes \Del produce “ Entf ” instead of “ Del ”. † These symbols utilize the rotating package and therefore display improperly in most DVI viewers. The \keystroke command draws a key with an arbitrary label. “\keystroke{F7}” produces “ F7 ”. For example, Table 159: ascii Control Characters (CP437) ␁ ␂ ␃ ␄ ␅ ␆ ␇ \SOH \STX \ETX \EOT \ENQ \ACK \BEL ␈ ␉ ␊ ␋ ␌ ␍ ␎ \BS \HT \LF \VT \FF \CR \SO ␏ ␐ ␑ ␒ ␓ ␔ ␕ \SI \DLE \DCa \DCb \DCc \DCd \NAK ␖ ␗ ␘ ␙ ␚ ␛ ␜ \SYN \ETB \CAN \EM \SUB \ESC \FS ␡ \DEL \NBSP ␀ \NUL ¦ \splitvert \GS \RS \US ␝ ␞ ␟ Code Page 437 (CP437), which was first utilized by the original IBM PC, uses the symbols \SOH through \US to depict ASCII characters 1–31 and \DEL to depict ASCII character 127. The \NUL symbol, not part of CP437, represents ASCII character 0. \NBSP, also not part of CP437, represents a nonbreaking space. \splitvert is merely the “|” character drawn as it was on the IBM PC. Table 160: marvosym Communication Symbols k z \Email \Emailct t u \fax \FAX v B \Faxmachine \Letter 47 E H \Lightning \Mobilefone A T \Pickup \Telefon Table 161: marvosym Engineering Symbols " # › • % – \Beam \Bearing \Circpipe \Circsteel \Fixedbearing \Flatsteel ∗ l ’ & L $ ™ ‘ ˜ ” ' Ÿ \Force \Hexasteel \Lefttorque \Lineload \Loosebearing \Lsteel \Octosteel \Rectpipe \Rectsteel \Righttorque \RoundedLsteel∗ \RoundedTsteel∗ — “ œ š \RoundedTTsteel \Squarepipe \Squaresteel \Tsteel \TTsteel \RoundedLsteel and \RoundedTsteel seem to be swapped, at least in the 2000/05/01 version of marvosym. Table 162: wasysym Biological Symbols ♀ ♂ \female \male Table 163: marvosym Biological Symbols ~ „ … } \Female \FEMALE \FemaleFemale \FemaleMale \Hermaphrodite \HERMAPHRODITE | ƒ { \MALE \Male \MaleMale \Neutral Table 164: marvosym Safety-related Symbols h n \Biohazard \BSEfree C J \CEsign \Estatically ` a j ! \Explosionsafe \Laserbeam \Radioactivity \Stopsign Table 165: feyn Feynman Diagram Symbols ! \feyn{fd} f w n \feyn{fl} e \feyn{fs} \bigbosonloop a \feyn{a} c \feyn{c} \feyn{fu} \feyn{gvs} \feyn{hd} h l m p \feyn{fv} \feyn{gv} i \feyn{hs} x \feyn{hu} \feyn{glu} g o \feyn{gl} \feyn{gu} \feyn{f} \feyn{g} \feyn{h} \feyn{ms} \feyn{m} \feyn{p} \feyn{x} \smallbosonloop All other arguments to the \feyn command produce a “?” symbol. The feyn package provides various commands for composing the preceding symbols into complete Feynman diagrams. See the feyn documentation for examples and additional information. 48 5 Dingbats Dingbats are symbols such as stars, arrows, and geometric shapes. They are commonly used as bullets in itemized lists or, more generally, as a means to draw attention to the text that follows. The pifont dingbat package warrants special mention. Among other capabilities, pifont provides a LATEX interface to the Zapf Dingbats font (one of the standard 35 PostScript fonts). However, rather than name each of the dingbats individually, pifont merely provides a single \ding command, which outputs the character that lies at a given position in the font. The consequence is that the pifont symbols can’t be listed by name in this document’s index, so be mindful of that fact when searching for a particular symbol. y { Table 166: bbding Arrows z w \ArrowBoldDownRight \ArrowBoldRightCircled \ArrowBoldRightShort \ArrowBoldRightStrobe x \ArrowBoldUpRight Table 167: pifont Arrows Ô Õ Ö × Ø Ù Ú Û Ü \ding{212} \ding{213} \ding{214} \ding{215} \ding{216} \ding{217} \ding{218} \ding{219} \ding{220} Ý Þ ß à á â ã ä å \ding{221} \ding{222} \ding{223} \ding{224} \ding{225} \ding{226} \ding{227} \ding{228} \ding{229} æ ç è é ê ë ì í î \ding{230} \ding{231} \ding{232} \ding{233} \ding{234} \ding{235} \ding{236} \ding{237} \ding{238} ï ñ ò ó ô õ ö ÷ ø \ding{239} \ding{241} \ding{242} \ding{243} \ding{244} \ding{245} \ding{246} \ding{247} \ding{248} ù ú û ü ý þ Table 168: universal Arrows \bauarrow \bauwhitearrow Table 169: marvosym Scissors s r \Cutleft \Cutline q R \Cutright \Kutline S Q \Leftscissors \Rightscissors Table 170: bbding Scissors \ScissorHollowLeft \ScissorHollowRight \ScissorLeft \ScissorLeftBrokenBottom 49 \ScissorLeftBrokenTop \ScissorRight \ScissorRightBrokenBottom \ScissorRightBrokenTop \ding{249} \ding{250} \ding{251} \ding{252} \ding{253} \ding{254} Table 171: pifont Scissors ! \ding{33} " # \ding{34} $ \ding{35} \ding{36} Table 172: dingbat Pencils W P \largepencil \smallpencil Table 173: bbding Pencils and Nibs \NibLeft \NibRight \NibSolidLeft \NibSolidRight \PencilLeft \PencilLeftDown \PencilLeftUp \PencilRight \PencilRightDown \PencilRightUp Table 174: pifont Pencils and Nibs . \ding{46} / \ding{47} 0 \ding{48} 1 Table 175: dingbat Fists R D U \leftpointright \leftthumbsdown \leftthumbsup L d u \rightpointleft N 2 \ding{50} \rightpointright \rightthumbsdown \rightthumbsup Table 176: bbding Fists \HandCuffLeft \HandCuffLeftUp \HandCuffRight \ding{49} \HandCuffRightUp \HandLeft \HandLeftUp \HandPencilLeft \HandRight \HandRightUp Table 177: pifont Fists * \ding{42} + \ding{43} 50 , \ding{44} - \ding{45} * 4 . Table 178: bbding Crosses and Plusses \Cross \CrossBoldOutline \CrossClowerTips \CrossMaltese + , ' ( \CrossOpenShadow \CrossOutline \Plus \PlusCenterOpen & ) \PlusOutline \PlusThinCenterOpen Table 179: pifont Crosses and Plusses 9 : ! " \ding{57} \ding{58} ; < \ding{59} \ding{60} = > \ding{61} \ding{62} ? @ \ding{63} \ding{64} Table 180: bbding Xs and Check Marks \Checkmark \CheckmarkBold # $ % \XSolid \XSolidBold \XSolidBrush Table 181: pifont Xs and Check Marks 3 4 \ding{51} \ding{52} 5 6 \ding{53} \ding{54} 7 8 \ding{55} \ding{56} Table 182: wasysym Xs and Check Marks 2 \CheckedBox \Square Table 183: universal Xs \baucross 51 4 \XBox Table 184: pifont Circled Numbers ¬ ® ¯ ° ± ² ³ ´ µ \ding{172} \ding{173} \ding{174} \ding{175} \ding{176} \ding{177} \ding{178} \ding{179} \ding{180} \ding{181} ¶ · ¸ ¹ º » ¼ ½ ¾ ¿ À Á Â Ã Ä Å Æ Ç È É \ding{182} \ding{183} \ding{184} \ding{185} \ding{186} \ding{187} \ding{188} \ding{189} \ding{190} \ding{191} \ding{192} \ding{193} \ding{194} \ding{195} \ding{196} \ding{197} \ding{198} \ding{199} \ding{200} \ding{201} Ê Ë Ì Í Î Ï Ð Ñ Ò Ó \ding{202} \ding{203} \ding{204} \ding{205} \ding{206} \ding{207} \ding{208} \ding{209} \ding{210} \ding{211} pifont (part of the psnfss package) provides a dingautolist environment which resembles enumerate but uses circled numbers as bullets.2 See the psnfss documentation for more information. Table 185: wasysym Stars C N A B X C D 0 / Z S Y H I F E R 2 In \davidsstar A \hexstar B \varhexstar Table 186: bbding Stars, Flowers, and Similar Shapes \Asterisk \AsteriskBold \AsteriskCenterOpen \AsteriskRoundedEnds \AsteriskThin \AsteriskThinCenterOpen \DavidStar \DavidStarSolid \EightAsterisk \EightFlowerPetal \EightFlowerPetalRemoved \EightStar \EightStarBold \EightStarConvex \EightStarTaper \FiveFlowerOpen P 8 ; ? 7 9 : < = > @ 1 V W 5 6 \FiveFlowerPetal \FiveStar \FiveStarCenterOpen \FiveStarConvex \FiveStarLines \FiveStarOpen \FiveStarOpenCircled \FiveStarOpenDotted \FiveStarOutline \FiveStarOutlineHeavy \FiveStarShadow \FourAsterisk \FourClowerOpen \FourClowerSolid \FourStar \FourStarOpen fact, dingautolist can use any set of consecutive Zapf Dingbats symbols. 52 2 3 O U M Q L [ G K ` ^ _ ] \ J \JackStar \JackStarBold \SixFlowerAlternate \SixFlowerAltPetal \SixFlowerOpenCenter \SixFlowerPetalDotted \SixFlowerPetalRemoved \SixFlowerRemovedOpenPetal \SixStar \SixteenStarLight \Snowflake \SnowflakeChevron \SnowflakeChevronBold \Sparkle \SparkleBold \TwelweStar Table 187: pifont Stars, Flowers, and Similar Shapes A B C D E F G H I \ding{65} \ding{66} \ding{67} \ding{68} \ding{69} \ding{70} \ding{71} \ding{72} \ding{73} J K L M N O P Q R \ding{74} \ding{75} \ding{76} \ding{77} \ding{78} \ding{79} \ding{80} \ding{81} \ding{82} S T U V W X Y Z [ \ding{83} \ding{84} \ding{85} \ding{86} \ding{87} \ding{88} \ding{89} \ding{90} \ding{91} \ ] ^ _ ` a b c d \ding{92} \ding{93} \ding{94} \ding{95} \ding{96} \ding{97} \ding{98} \ding{99} \ding{100} e f g h i j k \ding{101} \ding{102} \ding{103} \ding{104} \ding{105} \ding{106} \ding{107} Table 188: wasysym Geometric Shapes 7 % & _ / # " $ ! 5 6 U V P S R \hexagon 8 \octagon D \pentagon 9 Table 189: ifsym Geometric Shapes \BigCircle \BigCross \BigDiamondshape \BigHBar \BigLowerDiamond \BigRightDiamond \BigSquare \BigTriangleDown \BigTriangleLeft \BigTriangleRight \BigTriangleUp \BigVBar \Circle \Cross \DiamondShadowA \DiamondShadowB \DiamondShadowC \Diamondshape \FilledBigCircle \FilledBigDiamondshape \FilledBigSquare \FilledBigTriangleDown \FilledBigTriangleLeft T Q e f u v p s r t q ` c b d a o ? \FilledBigTriangleRight \FilledBigTriangleUp \FilledCircle \FilledDiamondShadowA \FilledDiamondShadowC \FilledDiamondshape \FilledSmallCircle \FilledSmallDiamondshape \FilledSmallSquare \FilledSmallTriangleDown \FilledSmallTriangleLeft \FilledSmallTriangleRight \FilledSmallTriangleUp \FilledSquare \FilledSquareShadowA \FilledSquareShadowC \FilledTriangleDown \FilledTriangleLeft \FilledTriangleRight \FilledTriangleUp \HBar \LowerDiamond \RightDiamond \varhexagon E F O @ C B D A * ) 0 3 2 4 1 \SmallCircle \SmallCross \SmallDiamondshape \SmallHBar \SmallLowerDiamond \SmallRightDiamond \SmallSquare \SmallTriangleDown \SmallTriangleLeft \SmallTriangleRight \SmallTriangleUp \SmallVBar \SpinDown \SpinUp \Square \SquareShadowA \SquareShadowB \SquareShadowC \TriangleDown \TriangleLeft \TriangleRight \TriangleUp \VBar The ifsym documentation points out that one can use \rlap to combine some of the above into useful, new symbols. For example, \BigCircle and \FilledSmallCircle combine to give “ ”. Likewise, \Square and \Cross combine to give “ ”. See Section 7.3 for more information about constructing new symbols out of existing symbols. u% 0 53 d a p b e c s r \CircleShadow \CircleSolid \DiamondSolid \Ellipse \EllipseShadow \EllipseSolid \HalfCircleLeft \HalfCircleRight u v t f k m l h Table 190: bbding Geometric Shapes \Rectangle \RectangleBold \RectangleThin \Square \SquareCastShadowBottomRight \SquareCastShadowTopLeft \SquareCastShadowTopRight \SquareShadowBottomRight j i g o n \SquareShadowTopLeft \SquareShadowTopRight \SquareSolid \TriangleDown \TriangleUp Table 191: pifont Geometric Shapes l m n o p q \ding{108} \ding{109} \ding{110} \ding{111} \ding{112} \ding{113} r s t \ding{114} \ding{115} \ding{116} u w x \ding{117} \ding{119} \ding{120} y z \ding{121} \ding{122} Table 192: universa Geometric Shapes \baucircle \bausquare \bautriangle Table 193: universal Geometric Shapes \baucircle \baueclipse \bauhole \baupunct \bausquare \bautriangle Table 194: manfnt Dangerous Bend Symbols \dbend ~ \lhdbend \reversedvideodbend Note that these symbols descend far beneath the baseline. manfnt also defines nondescending versions, which it calls, correspondingly, \textdbend, \textlhdbend, and \textreversedvideodbend. Table 195: skull Symbols A \skull 54 Table 196: marvosym Information Symbols ® V U K X O C D q o x I i y \Bicycle \Checkedbox \Clocklogo \Coffeecup \Crossedbox \Football \Gentsroom \Industry \Info \Ladiesroom Z w b \Pointinghand \Wheelchair \Writinghand Table 197: Miscellaneous dingbat Dingbats E \anchor \carriagereturn \checkmark C I S B Z \eye \filledsquarewithdots \satellitedish \Sborder \squarewithdots \Zborder Table 198: Miscellaneous bbding Dingbats \Envelope \OrnamentDiamondSolid \Peace \Phone \PhoneHandset \Plane T \SunshineOpenCircled \Tape Table 199: Miscellaneous pifont Dingbats % & ' \ding{37} \ding{38} \ding{39} ( ) v \ding{40} \ding{41} \ding{118} ¤ ¥ ¦ \ding{164} \ding{165} \ding{166} 55 § ¨ ª \ding{167} \ding{168} \ding{170} « © \ding{171} \ding{169} 6 Other symbols The following are all the symbols that didn’t fit neatly or unambiguously into any of the previous sections. Table 200: textcomp Genealogical Symbols b d \textborn \textdied c l m \textdivorced \textleaf \textmarried Table 201: wasysym General Symbols m 1 | \ataribox \bell \blacksmiley \Bowtie \brokenvert \checked L / 6 \clock \diameter \DOWNarrow \frownie \invdiameter \kreuz \LEFTarrow \lightning \phone \pointer \recorder \RIGHTarrow , ☼ K ◊ \smiley \sun \UParrow \wasylozenge Table 202: wasysym Circles # G \CIRCLE \Circle \LEFTCIRCLE # G I H # H J " \LEFTcircle \Leftcircle \RIGHTCIRCLE \RIGHTcircle \Rightcircle \leftturn ! \rightturn Table 203: wasysym Musical Symbols \eighthnote \halfnote \twonotes \fullnote ♩ \quarternote See also \flat, \sharp, and \natural (Table 139 on page 42). Table 204: arev Musical Symbols ♩ \quarternote ♪ \eighthnote ♬ \sixteenthnote See also \flat, \sharp, and \natural (Table 139 on page 42). 56 Table 205: Miscellaneous manfnt Symbols $ % # y ! \manboldkidney \manconcentriccircles \manconcentricdiamond \mancone \mancube \manerrarrow \manfilledquartercircle \manhpennib \manimpossiblecube \mankidney \manlhpenkidney \manpenkidney \manquadrifolium \manquartercircle \manrotatedquadrifolium \manrotatedquartercircle \manstar \mantiltpennib \mantriangledown \mantriangleright \mantriangleup \manvpennib & ' " 7 x 6 Table 206: marvosym Navigation Symbols · ¸ ¹ » º ¶ \Forward \ForwardToEnd \ForwardToIndex ´ µ ½ \MoveDown \MoveUp \Rewind \RewindToIndex \RewindToStart \ToBottom ¼ \ToTop Table 207: marvosym Laundry Symbols Ø Ó Õ Ë « ¾ ¿ ¬ Ý Ü ¯ ° ± Ì ¨ ² × Ù \AtForty \AtNinetyFive \AtSixty \Bleech \CleaningA \CleaningF \CleaningFF \CleaningP \CleaningPP \Dontwash \Handwash \IroningI \IroningII \IroningIII \NoBleech \NoChemicalCleaning \NoIroning \NoTumbler \ShortFifty \ShortForty Ô Ö Û Ú ‰ Š ‹ \ShortNinetyFive \ShortSixty \ShortThirty \SpecialForty \Tumbler \WashCotton \WashSynthetics \WashWool Table 208: Other marvosym Symbols ˆ ý ¥ ‡ ª \Ankh \Bat \Bouquet \Celtcross \CircledA † F f § Œ ÿ m @ : \Cross \FHBOlogo \FHBOLOGO \Frowny \FullFHBO \Heart \MartinVogel \Mundus \MVAt \MVRightarrow Table 209: Miscellaneous universa Symbols \bauforms 57 \bauhead © þ Y \Smiley \Womanface \Yinyang Table 210: Miscellaneous universal Symbols \baudash \bauequal \bauface \bauforms \bauhead \bauplus \bauquarter \bauquestion \bauwindow \varQ Table 211: ifsym Weather Symbols ! # " \Cloud \FilledCloud \FilledRainCloud \FilledSunCloud \FilledWeakRainCloud \Fog \Hail \HalfSun \Lightning \NoSun \Rain \RainCloud \Sleet \Snow \SnowCloud \Sun \SunCloud \ThinFog $ \WeakRain \WeakRainCloud \FilledSnowCloud In addition, \Thermo{0}. . .\Thermo{6} produce thermometers that are between 0/6 and 6/6 full of mercury: Similarly, \wind{hsuni}{hanglei}{hstrengthi} will draw wind symbols with a given amount of sun (0–4), a given angle (in degrees), and a given strength in km/h (0– 100). For example, \wind{0}{0}{0} produces “ 0 ”, \wind{2}{0}{0} produces “ 0 ”, and \wind{4}{0}{100} produces “ : ”. \SummitSign \StoneMan \Hut \FilledHut \Village \Interval \StopWatchEnd Table 212: ifsym Alpine Symbols \Summit \Mountain \IceMountain \VarMountain \VarIceMountain \SurveySign \Joch \Flag \VarFlag \Tent Table 213: ifsym Clocks \StopWatchStart \Taschenuhr \VarClock \HalfFilledHut \VarSummit \Wecker \VarTaschenuhr ifsym also exports a \showclock macro. \showclock{hhoursi}{hminutesi} outputs a clock displaying the corresponding time. For instance, “\showclock{5}{40}” produces “ ”. hhoursi must be an integer from 0 to 11, and hminutesi must be an integer multiple of 5 from 0 to 55. D 58 Table 214: Other ifsym Symbols : : \FilledSectioningDiamond \Fire \Irritant \StrokeOne \StrokeTwo :: :: \Letter \PaperLandscape \PaperPortrait \StrokeThree \StrokeFour ( ; \Radiation \SectioningDiamond \Telephone \StrokeFive In addition, \Cube{1}. . .\Cube{6} produce dice with the corresponding number of spots: Table 215: epsdice Dice \epsdice{1} \epsdice{2} \epsdice{3} \epsdice{4} \epsdice{5} \epsdice{6} The epsdice package does not provide a font but rather an interface to a set of graphics drawn in Encapsulated PostScript. Consequently, epsdice does not work with pdfLATEX. Table 216: skak Chess Informator Symbols g i b a e I RR n V t G \bbetter \bdecisive \betteris \bishoppair \bupperhand \centre \comment \compensation \counterplay \devadvantage \diagonal d L j P H O x y m S U \doublepawns \ending \equal \etc \file \kside \markera \markerb \mate \morepawns \moreroom N F o r M s l q T k u \novelty \onlymove \opposbishops \passedpawn \qside \samebishops \see \seppawns \timelimit \unclear \unitedpawns R f h J w A E C v c D \various \wbetter \wdecisive \weakpt \with \withattack \withidea \withinit \without \wupperhand \zugzwang KQRBNP The preceding symbols are merely the named informator symbol. skak can typeset many more chess-related symbols, including those for all of the pieces ( / ), but only in the context of moves and boards, not as individual, named LATEX symbols. kqrbnp 59 Table 217: metre Metrical Symbols × ˘´ ˘ ˘´˘ ˘´˘ ˘˘ ˘˘´ ˘˘ ˘˘˘ ¯˘´¯˘ × \a \B \b \Bb \BB \bb \bB \bba \bbb \BBm ˘¯˘¯´ ˘¯˘¯ ˘¯´˘¯ ˘¯˘˘¯ ˘¯˘¯¯¯˘ ˘ ´¯˘¯ \bBm \bbm \Bbm \bbmb \bbmx \bm \Bm \c \C \Cc ¯ ´¯ ¯ ´˘¯ ˘¯ ˘¯´˘¯ ˘¯˘¯´ ˘¯˘¯ × \cc \Ccc \m \M \ma \Mb \mb \mBb \mbB \mbb ˘¯´˘¯ ¯˘¯˘¯˘¯ ◦◦ \Mbb \mbbx \oo \p \pm \pp \Pp \ppm \ppp \Ppp ˙ ¯˙ ˙˙ ˙˙ ¯˙˙˙ ˙ ˙˙˙ ˙ ˙˙ ˙ ˙˙˙ ˙˙ ˙˙ ˙˙ ˙˙ ∼ ∼ ⊗ \Pppp \pppp \Ppppp \ppppp \ps \pxp \Pxp \R \r \T ⊗ ¯˙ ¯˙˙ ˙˙˙˙ \t \tsbm \tsmb \tsmm \vppm \vpppm \x The preceding symbols are valid only within the argument to the metre command. Table 218: metre Small and Large Metrical Symbols ÷ < · < · ⊃ × ···· ∧ > · > · ·· ∼ ⊗ ⊕ \anaclasis \antidiple \antidiple* \antisigma \asteriscus \catalexis \diple \diple* \obelus \obelus* \respondens \terminus \terminus* ÷ < · < · ⊃ × ···· ∧ > >·· ·· ∼ ⊗ ⊕ 60 \Anaclasis \Antidiple \Antidiple* \Antisigma \Asteriscus \Catalexis \Diple \Diple* \Obelus \Obelus* \Respondens \Terminus \Terminus* Table 219: phaistos Symbols from the Phaistos Disk J \PHarrow e \PHeagle B \PHplumedHead h \PHbee o \PHflute d \PHram X \PHbeehive H \PHgaunlet l \PHrosette R \PHboomerang p \PHgrater P \PHsaw K \PHbow G \PHhelmet L \PHshield b \PHbullLeg a \PHhide Y \PHship D \PHcaptive Z \PHhorn V \PHsling S \PHcarpentryPlane Q \PHlid r \PHsmallAxe c \PHcat m \PHlily q \PHstrainer E \PHchild N \PHmanacles C \PHtattooedHead M \PHclub O \PHmattock I \PHtiara W \PHcolumn n \PHoxBack g \PHtunny U \PHcomb k \PHpapyrus j \PHvine T \PHdolium A \PHpedestrian s \PHwavyBand f \PHdove i \PHplaneTree F \PHwoman Table 220: protosem Proto-Semitic Characters a A b B g d D e \Aaleph \AAaleph \Abeth \AAbeth \Agimel \Adaleth \AAdaleth \Ahe E z w H h T y Y \AAhe \Azayin \Avav \Aheth \AAheth \Ateth \Ayod \AAyod k K l L m n o O \Akaph \AAkaph \Alamed \AAlamed \Amem \Anun \Aayin \AAayin s p P x X q Q r \Asamekh \Ape \AApe \Asade \AAsade \Aqoph \AAqoph \Aresh R S v V t \AAresh \Ashin \Ahelmet \AAhelmet \Atav The protosem package defines abbreviated control sequences for each of the above. In addition, single-letter shortcuts can be used within the argument to the \textproto command (e.g., “\textproto{Pakyn}” produces “Pakyn”). See the protosem documentation for more information. 61 Table 221: hieroglf Hieroglyphics A \HA I \HI n \Hn T \HT a \Ha i \Hi O \HO t \Ht B \HB ˝ \Hibl o \Ho ˘ \Htongue b \Hb ˆ \Hibp p \Hp U \HU c \Hc ¨ \Hibs P \HP u \Hu C \HC ˜ \Hibw ˙ \Hplural V \HV D \HD J \HJ + \Hplus v \Hv d \Hd j \Hj Q \HQ | \Hvbar ¸ \Hdual k \Hk q \Hq w \Hw e E \He \HE K L \HK \HL ? R \Hquery \HR W X \HW \HX f \Hf l \Hl r \Hr x \Hx F \HF m \Hm s \Hs Y \HY G \HG M \HM S \HS y \Hy g \Hg ˇ \Hman ¯ \Hscribe z \Hz h \Hh ´ \Hms / \Hslash Z \HZ H \HH N \HN ˚ \Hsv | \Hone 3 \Hhundred 5 \HXthousand 7 \Hmillion 2 \Hten 4 \Hthousand 6 \HCthousand The hieroglf package defines alternate control sequences and single-letter shortcuts for each of the above which can be used within the argument to the \textpmhg command (e.g., “\textpmhg{Pakin}” produces “Pakin”). See the hieroglf documentation for more information. Table 222: dictsym Dictionary Symbols a G A B C \dsaeronautical \dsagricultural \dsarchitectural \dsbiological \dschemical c H J L M \dscommercial \dsheraldical \dsjuridical \dsliterary \dsmathematical 62 m X R T \dsmedical \dsmilitary \dsrailways \dstechnical 7 Additional Information Unlike the previous sections of this document, Section 7 does not contain new symbol tables. Rather, it provides additional help in using the Comprehensive LATEX Symbol List. First, it draws attention to symbol names used by multiple packages. Next, it provides some guidelines for finding symbols and gives some examples regarding how to construct missing symbols out of existing ones. Then, it comments on the spacing surrounding symbols in math mode. After that, it presents an ASCII and Latin 1 quick-reference guide, showing how to enter all of the standard ASCII/Latin 1 symbols in LATEX. And finally, it lists some statistics about this document itself. 7.1 Symbol Name Clashes Unfortunately, a number of symbol names are not unique; they appear in more than one package. Depending on how the symbols are defined in each package, LATEX will either output an error message or replace an earlier-defined symbol with a later-defined symbol. Table 223 presents a selection of name clashes that appear in this document. The symbol “N/A” is used to indicate that the corresponding package was not available when symbols.tex was compiled. Using multiple symbols with the same name in the same document—or even merely loading conflicting symbol packages—can be tricky but, as evidenced by the existence of Table 223, not impossible. The general procedure is to load the first package, rename the conflicting symbols, and then load the second package. Examine the LATEX source for this document (symbols.tex) for examples of this and other techniques for handling symbol conflicts. Note that symbols.tex’s \savesymbol and \restoresymbol macros have been extracted into the savesym package, which can be downloaded from CTAN. txfonts and pxfonts redefine a huge number of symbols—essentially, all of the symbols defined by latexsym, textcomp, the various AMS symbol sets, and LATEX 2ε itself. The txfonts and pxfonts conflicts are not listed in Table 223 because they are designed to be compatible with the symbols they replace. Table 224 on page 65 illustrates what “compatible” means in this context. To use the new txfonts/pxfonts symbols without altering the document’s main font, merely reset the default font families back to their original values after loading one of those packages: \renewcommand\rmdefault{cmr} \renewcommand\sfdefault{cmss} \renewcommand\ttdefault{cmtt} 7.2 Resizing symbols Mathematical symbols listed in this document as “variable-sized” are designed to stretch vertically. Each variablesized symbol comes in one or more basic sizes plus a variation comprising both stretchable and nonstretchable segments. Table 225 on page 65 presents the symbols \} and \uparrow in their default size, in their \big, \Big, \bigg, and \Bigg sizes, in an even larger size achieved using \left/\right, and—for contrast—in a large size achieved by changing the font size using LATEX 2ε ’s \fontsize command. Because the symbols shown belong to the Computer Modern family, the type1cm package needs to be loaded to support font sizes larger than 24.88 pt. Note how \fontsize makes the symbol wider and thicker. (The graphicx package’s \scalebox or \resizebox commands would produce a similar effect.) Also, the \fontsize-enlarged symbol is vertically centered relative to correspondingly large text, unlike the symbols enlarged using \big et al. or \left/\right, which all use the same math axis regardless of symbol size. However, \fontsize is not limited to mathematical delimiters. Also, \scalebox and \resizebox are more robust to poorly composed symbols (e.g., two symbols made to overlap by backspacing a fixed distance) but do not work with every TEX backend and will produce jagged symbols when scaling a bitmapped font. All variable-sized delimiters are defined (by the corresponding .tfm file) in terms of up to five segments, as illustrated by Figure 1 on page 65. The top, middle, and bottom segments are of a fixed size. The top-middle and middle-bottom segments (which are constrained to be the same character) are repeated as many times as necessary to achieve the desired height. 63 64 \baro \bigtriangledown \bigtriangleup \checkmark \Circle \Cross \ggg \Letter \lightning \Lightning \lll \Square \Sun \TriangleDown \TriangleUp Symbol 5 4 LATEX 2ε ≪ ≫ X AMS ` a stmaryrd # wasysym N/A N/A N/A mathabx À E B † marvosym Table 223: Symbol Name Clashes f o n * bbding 0 3 1 5 ifsym D dingbat < wsuipa Table 224: Example of a Benign Name Clash Symbol Default (Computer Modern) txfonts (Times Roman) R R R \textrecipe Table 225: Sample resized delimiters Symbol \} Default size \big \bigg ™ o } \Big \Bigg \left / \right ) \uparrow ↑ −→ x x x x top top-middle (extensible) middle middle-bottom (extensible) bottom x Figure 1: Implementation of variable-sized delimiters 65 \fontsize } ↑ 7.3 Where can I find the symbol for . . . ? If you can’t find some symbol you’re looking for in this document, there are a few possible explanations: • The symbol isn’t intuitively named. As a few examples, the ifsym command to draw dice is “\Cube”; a plus sign with a circle around it (“exclusive or” to computer engineers) is “\oplus”; and lightning bolts in fonts designed by German speakers may have “blitz” in their names as in the ulsy package. The moral of the story is to be creative with synonyms when searching the index. • The symbol is defined by some package that I overlooked (or deemed unimportant). If there’s some symbol package that you think should be included in the Comprehensive LATEX Symbol List, please send me e-mail at the address listed on the title page. • The symbol isn’t defined in any package whatsoever. Even in the last case, all is not lost. Sometimes, a symbol exists in a font, but there is no LATEX binding for it. Reflecting and rotating existing symbols Rotated/reflected versions of an existing symbol can be produced using the graphicx (or graphics) package’s \reflectbox and \rotatebox macros.3 Joining and overlapping existing symbols If a symbol does not exist in any orientation in any font, it may be possible to fabricate it out of existing symbols. The LATEX 2ε source file fontdef.dtx contains a number of such definitions. For example, \models (see Table 55 on page 24) is defined in that file with: \def\models{\mathrel|\joinrel=} where \mathrel and \joinrel are used to control the horizontal spacing. \def is the TEX primitive upon which LATEX’s \newcommand is based. See The TEXbook [Knu86a] for more information on all three of those commands. With some simple pattern-matching, one can easily define a backward \models sign (“=|”): \def\ismodeledby{=\joinrel\mathrel|} In general, arrows/harpoons, horizontal lines (“=”, “-”, “\relbar”, and “\Relbar”), and the various mathextension characters can be combined creatively with miscellaneous other characters to produce a variety of new symbols. Of course, new symbols can be composed from any set of existing characters. For instance, LATEX defines \hbar (“~”) as a “¯” character (\mathchar’26) followed by a backspace of 9 math units (\mkern-9mu), followed by the letter “h”: \def\hbar{{\mathchar’26\mkern-9muh}} We can just as easily define other barred letters: \def\bbar{{\mathchar’26\mkern-9mu b}} \def\dbar{{\mathchar’26\mkern-12mu d}} (The space after the “mu” is optional but is added for clarity.) \bbar and \dbar define “b̄” and “¯ d”, respectively. Note that \dbar requires a greater backward math kern than \bbar; a −9 mu kern would have produced the less-attractive “d̄” glyph. The amsmath package provides \overset and \underset commands for placing one symbol respectively above G or below another. For example, \overset{G}{\sim}4 produces “∼” (sometimes used for “equidecomposable with respect to G”). 3 This should be used as a last resort. Not every TEX backend supports graphical transformations. EX’s \stackrel command is similar but is limited to placing a symbol above a binary relation. 4L AT 66 Sometimes an ordinary tabular environment can be co-opted into juxtaposing existing symbols into a new symbol. Consider the following definition of \asterism (“** * ”) from a June 2007 post to comp.text.tex by Peter Flynn: \newcommand{\asterism}{\smash{% \raisebox{-.5ex}{% \setlength{\tabcolsep}{-.5pt}% \begin{tabular}{@{}cc@{}}% \multicolumn2c*\\[-2ex]*&*% \end{tabular}}}} Note how the space between columns (\tabcolsep) and rows (\\[. . . ]) is made negative to squeeze the asterisks closer together. There is a TEX primitive called \mathaccent that centers one mathematical symbol atop another. For example, · one can define \dotcup (“∪”)—the composition of a \cup and a \cdot—as follows: \newcommand{\dotcup}{\ensuremath{\mathaccent\cdot\cup}} The catch is that \mathaccent requires the accent to be a “math character”. That is, it must be a character in a math font as opposed to a symbol defined in terms of other symbols. See The TEXbook [Knu86a] for more information. Another TEX primitive that is useful for composing symbols is \vcenter. \vcenter is conceptually similar to “\begin{tabular}{l}” in LATEX but takes a list of vertical material instead of \\-separated rows. Also, it vertically centers the result on the math axis. (Many operators, such as “+” and “−” are also vertically centered on the math axis.) Enrico Gregorio posted the following symbol definition to comp.text.tex in March 2004 in response to a query about an alternate way to denote equivalence: \newcommand*{\threesim}{% \mathrel{\vcenter{\offinterlineskip \hbox{$\sim$}\vskip-.35ex\hbox{$\sim$}\vskip-.35ex\hbox{$\sim$}}}} The \threesim symbol, which vertically centers three \sim (“∼”) symbols with 0.35 x-heights of space between ∼ them, is rendered as “∼ ∼”. \offinterlineskip is a macro that disables implicit interline spacing. Without it, \threesim would have a full line of vertical spacing between each \sim. Because of \vcenter, \threesim aligns ∼ properly with other math operators: a ÷ b ∼ ∼ c × d. A related LATEX command, borrowed from Plain TEX, is \ooalign. \ooalign vertically overlaps symbols and works both within and outside of math mode. Essentially, it creates a single-column tabular environment with zero vertical distance between rows. However, because it is based directly on TEX’s \ialign primitive, \ooalign uses TEX’s tabular syntax instead of LATEX’s (i.e., with \cr as the row terminator instead of \\). The following ◦ example of \ooalign, a macro that defines a standard-state symbol (\stst, “− ”) as a superscripted Plimsoll 5 line (\barcirc, “− ◦ ”), is due to an October 2007 comp.text.tex post by Donald Arseneau: \makeatletter \providecommand\barcirc{\mathpalette\@barred\circ} \def\@barred#1#2{\ooalign{\hfil$#1-$\hfil\cr\hfil$#1#2$\hfil\cr}} \newcommand\stst{^{\protect\barcirc}} \makeatother In the preceding code, note the \ooalign call’s use of \hfil to horizontally center a minus sign (“−”) and a \circ (“◦”). As another example of \ooalign, consider the following code (due to Enrico Gregorio in a June 2007 post to comp.text.tex) that overlaps a \ni (“3”) and two minus signs (“− −”) to produce “3 − −”: 5 While \barcirc illustrates how to combine symbols using \ooalign, the stmaryrd package’s \minuso command (Table 41 on page 20) provides a similar glyph (“ ”) as a single, indivisible symbol. 67 \newcommand{\suchthat}{% \mathrel{\ooalign{$\ni$\cr\kern-1pt$-$\kern-6.5pt$-$}}} The slashed package, although originally designed for producing Feynman slashed-character notation, in fact facilitates the production of arbitrary overlapped symbols. The default behavior is to overwrite a given character / with “/”. For example, \slashed{D} produces “D”. However, the \declareslashed command provides the flexibility to specify the mathematical context of the composite character (operator, relation, punctuation, etc., as will be discussed in Section 7.4), the overlapping symbol, horizontal and vertical adjustments in symbolrelative units, and the character to be overlapped. Consider, for example, the symbol for reduced quadrupole moment (“I”). This can be declared as follows: \newcommand{\rqm}{{% \declareslashed{}{\text{-}}{0.04}{0}{I}\slashed{I}}} \declareslashed{·}{·}{·}{·}{I} affects the meaning of all subsequent \slashed{I} commands in the same scope. The preceding definition of \rqm therefore uses an extra set of curly braces to limit that scope to a single \slashed{I}. In addition, \rqm uses amstext’s \text macro (described on the next page) to make \declareslashed use a text-mode hyphen (“-”) instead of a math-mode minus sign (“−”) and to ensure that the hyphen scales properly in size in subscripts and superscripts. See slashed’s documentation (located in slashed.sty itself) for a detailed usage description of the \slashed and \declareslashed commands. Somewhat simpler than slashed is the centernot package. centernot provides a single command, \centernot, which, like \not, puts a slash over the subsequent mathematical symbol. However, instead of putting the slash at a fixed location, \centernot centers the slash over its argument: 6−→ \not\longrightarrow vs. −→ 6 \centernot\longrightarrow See the centernot documentation for more information. Making new symbols work in superscripts and subscripts To make composite symbols work properly within subscripts and superscripts, you may need to use TEX’s \mathchoice primitive. \mathchoice evaluates one of four expressions, based on whether the current math style is display, text, script, or scriptscript. (See The TEXbook [Knu86a] for a more complete description.) For example, the following LATEX code—posted to comp.text.tex by Torsten Bronger—composes a sub/superscriptable “⊥ >” symbol out of \top and \bot (“>” and “⊥”): \def\topbotatom#1{\hbox{\hbox to 0pt{$#1\bot$\hss}$#1\top$}} \newcommand*{\topbot}{\mathrel{\mathchoice{\topbotatom\displaystyle} {\topbotatom\textstyle} {\topbotatom\scriptstyle} {\topbotatom\scriptscriptstyle}}} The following is another example that uses \mathchoice to construct symbols in different math modes. The code defines a principal value integral symbol, which is an integral sign with a line through it. \def\Xint#1{\mathchoice {\XXint\displaystyle\textstyle{#1}}% {\XXint\textstyle\scriptstyle{#1}}% {\XXint\scriptstyle\scriptscriptstyle{#1}}% {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}% \!\int} \def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$} \vcenter{\hbox{$#2#3$}}\kern-.5\wd0}} \def\ddashint{\Xint=} \def\dashint{\Xint-} 68 (The preceding code was taken verbatim from the UK TERX Users’ Group FAQ at http://www.tex.ac.uk/ faq.) R\dashint produces a single-dashed integral sign (“−”), while \ddashint produces a double-dashed R one (“=”). The \Xint macroR defined above can also be used R to generate a wealth R of new integrals: “” (\Xint\circlearrowright), “” (\Xint\circlearrowleft), “⊂” (\Xint\subset), “∞” (\Xint\infty), and so forth. LATEX 2ε provides a simple wrapper for \mathchoice that sometimes helps produce terser symbol definitions. The macro is called \mathpalette and it takes two arguments. \mathpalette invokes the first argument, passing it one of “\displaystyle”, “\textstyle”, “\scriptstyle”, or “\scriptscriptstyle”, followed by the second argument. \mathpalette is useful when a symbol macro must know which math style is currently in use (e.g., to set it explicitly within an \mbox). Donald Arseneau posted the following \mathpalette-based definition of a probabilistic-independence symbol (“⊥ ⊥”) to comp.text.tex in June 2000: \newcommand\independent{\protect\mathpalette{\protect\independenT}{\perp}} \def\independenT#1#2{\mathrel{\rlap{$#1#2$}\mkern2mu{#1#2}}} The \independent macro uses \mathpalette to pass the \independenT helper macro both the current math style and the \perp symbol. \independenT typesets \perp in the current math style, moves two math units to the right, and finally typesets a second—overlapping—copy of \perp, again in the current math style. \rlap, which enables text overlap, is described later on this page. √ ”) as this helps visually distinguish Some people like their square-root signs with a trailing “hook” (i.e., “ √ √ expressions like “ 3x ” from those like “ 3x”. In March 2002, Dan Luecking posted a \mathpalette-based definition of a hooked square-root symbol to comp.text.tex: \def\hksqrt{\mathpalette\DHLhksqrt} \def\DHLhksqrt#1#2{\setbox0=\hbox{$#1\sqrt{#2\,}$}\dimen0=\ht0 \advance\dimen0-0.2\ht0 \setbox2=\hbox{\vrule height\ht0 depth -\dimen0}% {\box0\lower0.4pt\box2}} Notice how \DHLhksqrt uses \mathpalette to recover the outer math style (argument #1) from within an \hbox. The rest of the code is simply using TEX primitives to position a hook of height 0.2 times the \sqrt height at the right of the \sqrt. See The TEXbook [Knu86a] for more understanding of TEX “boxes” and “dimens”. Sometimes, however, amstext’s \text macro is all that is necessary to make composite symbols appear correctly in subscripts and superscripts, as in the following definitions of \neswarrow (“% .”) and \nwsearrow (“&”):6 \newcommand{\neswarrow}{\mathrel{\text{$\nearrow$\llap{$\swarrow$}}}} \newcommand{\nwsearrow}{\mathrel{\text{$\nwarrow$\llap{$\searrow$}}}} \text resembles LATEX’s \mbox command but shrinks its argument appropriately when used within a subscript or superscript. \llap (“left overlap”) and its counterpart, \rlap (“right overlap”), appear frequently when creating composite characters. \llap outputs its argument to the left of the current position, overlapping whatever text is already there. Similarly, \rlap overlaps whatever text would normally appear to the right of its argument. For example, “A\llap{B}” and “\rlap{A}B” each produce “A B”. However, the result of the former is the width of “A”, and the result of the latter is the width of “B”—\llap{. . . } and \rlap{. . . } take up zero space. In a June 2002 post to comp.text.tex, Donald Arseneau presented a general macro for aligning an arbitrary number of symbols on their horizontal centers and vertical baselines: \makeatletter \def\moverlay{\mathpalette\mov@rlay} \def\mov@rlay#1#2{\leavevmode\vtop{% \baselineskip\z@skip \lineskiplimit-\maxdimen \ialign{\hfil$#1##$\hfil\cr#2\crcr}}} \makeatother 6 Note that if your goal is to typeset commutative diagrams, then you should probably be using XY-pic. 69 The \makeatletter and \makeatother commands are needed to coerce LATEX into accepting “@” as part of a macro name. \moverlay takes a list of symbols separated by \cr (TEX’s equivalent of LATEX’s \\). For example, the \topbot command defined on page 68 could have been expressed as “\moverlay{\top\cr\bot}” and the \neswarrow command defined on the previous page could have been expressed as “\moverlay{\nearrow\cr\swarrow}”. The basic concept behind \moverlay’s implementation is that \moverlay typesets the given symbols in a table that utilizes a zero \baselineskip. This causes every row to be typeset at the same vertical position. See The TEXbook [Knu86a] for explanations of the TEX primitives used by \moverlay. Modifying LATEX-generated symbols Oftentimes, symbols composed in the LATEX 2ε source code can be modified with minimal effort to produce useful variations. For example, fontdef.dtx composes the \ddots symbol (see Table 132 on page 40) out of three periods, raised 7 pt., 4 pt., and 1 pt., respectively: \def\ddots{\mathinner{\mkern1mu\raise7\p@ \vbox{\kern7\p@\hbox{.}}\mkern2mu \raise4\p@\hbox{.}\mkern2mu\raise\p@\hbox{.}\mkern1mu}} \p@ is a LATEX 2ε shortcut for “pt” or “1.0pt”. The remaining commands are defined in The TEXbook [Knu86a]. To draw a version of \ddots with the dots going along the opposite diagonal, we merely have to reorder the \raise7\p@, \raise4\p@, and \raise\p@: \makeatletter \def\revddots{\mathinner{\mkern1mu\raise\p@ \vbox{\kern7\p@\hbox{.}}\mkern2mu \raise4\p@\hbox{.}\mkern2mu\raise7\p@\hbox{.}\mkern1mu}} \makeatother \revddots is essentially identical to the mathdots package’s \iddots command or the yhmath package’s \adots command. Producing complex accents Accents are a special case of combining existing symbols to make new symbols. While various tables in this document show how to add an accent to an existing symbol, some applications, such as transliterations from nonLatin alphabets, require multiple accents per character. For instance, the creator of pdfTEX writes his name as “Hàn Th´ê Thành”. The dblaccnt package enables LATEX to stack accents, as in “H\‘an Th\’{\^e} Th\‘anh” (albeit not in the OT1 font encoding). In addition, the wsuipa package defines \diatop and \diaunder macros for putting one or more diacritics or accents above or below a given character. For example, \diaunder[{\diatop[\’|\=]}| \textsubdot{r}] produces “´r̄”. See the wsuipa documentation for more information. ˙ The accents package facilitates the fabrication of accents in math mode. Its \accentset command enables any ? character to be used as an accent. For instance, \accentset{\star}{f} produces “f ” and \accentset{e}{X} e produces “X”. \underaccent does the same thing, but places the accent beneath the character. This enables constructs like \underaccent{\tilde}{V}, which produces “V ”. accents provides other accent-related features ˜ as well; see the documentation for more information. Creating extensible symbols A relatively simple example of creating extensible symbols stems from a comp.text.tex post by Donald Arseneau (June 2003). The following code defines an equals sign that extends as far to the right as possible, just like LATEX’s \hrulefill command: \makeatletter \def\equalsfill{$\m@th\mathord=\mkern-7mu \cleaders\hbox{$\!\mathord=\!$}\hfill 70 \mkern-7mu\mathord=$} \makeatother TEX’s \cleaders and \hfill primitives are the key to understanding \equalsfill’s extensibility. Essentially, \equalsfill repeats a box containing “=” plus some negative space until it fills the maximum available horizontal space. \equalsfill is intended to be used with LATEX’s \stackrel command, which stacks one mathematical a expression (slightly reduced in size) atop another. Hence, “\stackrel{a}{\rightarrow}” produces “→” and “X definition \stackrel{\text{definition}}{\hbox{\equalsfill}} Y” produces “X ======= Y ”. If all that needs to extend are horizontal and vertical lines—as opposed to repeated symbols such as the “=” in the previous example—LATEX’s array or tabular environments may suffice. Consider the following code (due to a February 1999 comp.text.tex post by Donald Arseneau) for typesetting annuities: \DeclareRobustCommand{\annu}[1]{_{% \def\arraystretch{0}% \setlength\arraycolsep{1pt}% adjust these \setlength\arrayrulewidth{.2pt}% two settings \begin{array}[b]{@{}c|}\hline \\[\arraycolsep]% \scriptstyle #1% \end{array}% }} One can then use, e.g., “$A\annu{x:n}$” to produce “Ax:n ”. A more complex example of composing accents is the following definition of extensible \overbracket, \underbracket, \overparenthesis, and \underparenthesis symbols, taken from a May 2002 comp.text.tex post by Donald Arseneau: \makeatletter \def\overbracket#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern3\p@} \downbracketfill\crcr\noalign{\kern3\p@\nointerlineskip} $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} \def\underbracket#1{\mathop{\vtop{\ialign{##\crcr $\hfil\displaystyle{#1}\hfil$\crcr\noalign{\kern3\p@\nointerlineskip} \upbracketfill\crcr\noalign{\kern3\p@}}}}\limits} \def\overparenthesis#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern3\p@} \downparenthfill\crcr\noalign{\kern3\p@\nointerlineskip} $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} \def\underparenthesis#1{\mathop{\vtop{\ialign{##\crcr $\hfil\displaystyle{#1}\hfil$\crcr\noalign{\kern3\p@\nointerlineskip} \upparenthfill\crcr\noalign{\kern3\p@}}}}\limits} \def\downparenthfill{$\m@th\braceld\leaders\vrule\hfill\bracerd$} \def\upparenthfill{$\m@th\bracelu\leaders\vrule\hfill\braceru$} \def\upbracketfill{$\m@th\makesm@sh{\llap{\vrule\@height3\p@\@width.7\p@}}% \leaders\vrule\@height.7\p@\hfill \makesm@sh{\rlap{\vrule\@height3\p@\@width.7\p@}}$} \def\downbracketfill{$\m@th \makesm@sh{\llap{\vrule\@height.7\p@\@depth2.3\p@\@width.7\p@}}% \leaders\vrule\@height.7\p@\hfill \makesm@sh{\rlap{\vrule\@height.7\p@\@depth2.3\p@\@width.7\p@}}$} \makeatother Table 226 showcases these accents. The TEXbook [Knu86a] or another book on TEX primitives is indispensible for understanding how the preceding code works. The basic idea is that \downparenthfill, \upparenthfill, \downbracketfill, and \upbracketfill do all of the work; they output a left symbol (e.g., \braceld [“z”] for \downparenthfill), a horizontal rule that stretches as wide as possible, and a right symbol (e.g., \bracerd [“{”] 71 for \downparenthfill). \overbracket, \underbracket, \overparenthesis, and \underparenthesis merely create a table whose width is determined by the given text, thereby constraining the width of the horizontal rules. Table 226: Manually Composed Extensible Accents z { abc \overbracket{abc} abc \overparenthesis{abc} abc \underbracket{abc} abc | } \underparenthesis{abc} Note that the simplewick package provides mechanisms for typesetting Wick contractions, which utilize \overbracket- and \underbracket-like brackets of variable width and height (or depth). See the simplewick documentation for more information. Developing new symbols from scratch Sometimes is it simply not possible to define a new symbol in terms of existing symbols. Fortunately, most, if not all, TEX distributions are shipped with a tool called METAFONT which is designed specifically for creating fonts to be used with TEX. The METAFONTbook [Knu86b] is the authoritative text on METAFONT. If you plan to design your own symbols with METAFONT, The METAFONTbook is essential reading. Nevertheless, the following is an extremely brief tutorial on how to create a new LATEX symbol using METAFONT. Its primary purpose is to cover the LATEX-specific operations not mentioned in The METAFONTbook and to demonstrate that symbol-font creation is not necessarily a difficult task. Suppose we need a symbol to represent a light bulb (“A”).7 The first step is to draw this in METAFONT. It is common to separate the font into two files: a size-dependent file, which specifies the design size and various font-specific parameters that are a function of the design size; and a size-independent file, which draws characters in the given size. Figure 2 shows the METAFONT code for lightbulb10.mf. lightbulb10.mf specifies various parameters that produce a 10 pt. light bulb then loads lightbulb.mf. Ideally, one should produce lightbulbhsizei.mf files for a variety of hsizeis. This is called “optical scaling”. It enables, for example, the lines that make up the light bulb to retain the same thickness at different font sizes, which looks much nicer than the alternative—and default—“mechanical scaling”. When a lightbulbhsizei.mf file does not exist for a given size hsizei, the computer mechanically produces a wider, taller, thicker symbol: A vs. 10 pt. A 20 pt. vs. A 30 pt. vs. A vs. 40 pt. A vs. 50 pt. font identifier := "LightBulb10"; font size 10pt#; em# := 10pt#; cap# := 7pt#; sb# := 1/4pt#; o# := 1/16pt#; A A vs. 60 pt. 70 pt. % Name the font. % Specify the design size. % “M” width is 10 points. % Capital letter height is 7 points above the baseline. % Leave this much space on the side of each character. % Amount that curves overshoot borders. input lightbulb % Load the file that draws the actual glyph. Figure 2: Sample METAFONT size-specific file (lightbulb10.mf) lightbulb.mf, shown in Figure 3, draws a light bulb using the parameters defined in lightbulb10.mf. Note that the the filenames “lightbulb10.mf” and “lightbulb.mf” do not follow the Berry font-naming scheme [Ber01]; the Berry font-naming scheme is largely irrelevant for symbol fonts, which generally lack bold, italic, small-caps, slanted, and other such variants. 7 I’m not a very good artist; you’ll have to pretend that “A” looks like a light bulb. 72 mode setup; % Target a given printer. define pixels(em, cap, sb); define corrected pixels(o); % Convert to device-specific units. % Same, but add a device-specific fudge factor. %% Define a light bulb at the character position for “A” %% with width 1/2em#, height cap#, and depth 1pt#. beginchar("A", 1/2em#, cap#, 1pt#); "A light bulb"; pickup pencircle scaled 1/2pt; %% Define the points we need. top z1 = (w/2, h + o); rt z2 = (w + sb + o − x4 , y4 ); bot z3 = (z1 − (0, w − sb − o)); lft z4 = (sb − o, 1/2[y1 , y3 ]); path bulb; bulb = z1 . . z2 . . z3 . . z4 . . cycle; z5 = point 2 − 1/3 of bulb; z6 = (x5 , 0); z7 = (x8 , 0); z8 = point 2 + 1/3 of bulb; bot z67 = ( 1/2[x6 , x7 ], pen bot − o − 1/8pt); % Use a pen with a small, circular tip. % z1 is at the top of a circle. % z2 is at the same height as z4 but the opposite side. % z3 is at the bottom of the circle. % z4 is on the left of the circle. % Define a path for the bulb itself. % The bulb is a closed path. % z5 lies on the bulb, a little to the right of z3 . % z6 is at the bottom, directly under z5 . % z7 is at the bottom, directly under z8 . % z8 lies on the bulb, a little to the left of z3 . % z67 lies halfway between z6 and z7 but a jot lower. %% Draw the bulb and the base. draw bulb; draw z5 - - z6 . . z67 . . z7 - - z8 ; % Draw the bulb proper. % Draw the base of the bulb. %% Display key positions and points to help us debug. makegrid(0, sb, w/2, w − sb)(0, −1pt, y2 , h); % Label “interesting” x and y coordinates. penlabels(1, 2, 3, 4, 5, 6, 67, 7, 8); % Label control points for debugging. endchar; end Figure 3: Sample METAFONT size-independent file (lightbulb.mf) The code in Figures 2 and 3 is heavily commented and should demonstrate some of the basic concepts behind METAFONT usage: declaring variables, defining points, drawing lines and curves, and preparing to debug or finetune the output. Again, The METAFONTbook [Knu86b] is the definitive reference on METAFONT programming. METAFONT can produce “proofs” of fonts—large, labeled versions that showcase the logical structure of each character. In fact, proof mode is METAFONT’s default mode. To produce a proof of lightbulb10.mf, issue the following commands at the operating-system prompt: ⇐ ⇐ prompt > mf lightbulb10.mf prompt > gftodvi lightbulb10.2602gf Produces lightbulb10.2602gf Produces lightbulb10.dvi You can then view lightbulb10.dvi with any DVI viewer. The result is shown in Figure 4. Observe how the grid defined with makegrid at the bottom of Figure 3 draws vertical lines at positions 0, sb, w/2, and w − sb and horizontal lines at positions 0, −1pt, y2 , and h. Similarly, observe how the penlabels command labels all of the important coordinates: z1 , z2 , . . . , z8 and z67 , which lightbulb.mf defines to lie between z6 and z7 . Most, if not all, TEX distributions include a Plain TEX file called testfont.tex which is useful for testing new fonts in a variety of ways. One useful routine produces a table of all of the characters in the font: prompt > tex testfont This is TeX, Version 3.14159 (Web2C 7.3.1) (/usr/share/texmf/tex/plain/base/testfont.tex 73 1 4 2 8 7 3 67 5 6 Figure 4: Proof diagram of lightbulb10.mf Name of the font to test = lightbulb10 Now type a test command (\help for help):) *\table *\bye [1] Output written on testfont.dvi (1 page, 1516 bytes). Transcript written on testfont.log. The resulting table, stored in testfont.dvi and illustrated in Figure 5, shows every character in the font. To understand how to read the table, note that the character code for “A”—the only character defined by lightbulb10.mf—is 41 in hexadecimal (base 16) and 101 in octal (base 8). Test of lightbulb10 on March 11, 2003 at 1127 ´0 ´10x ´11x ˝8 ´1 A ´2 ˝9 ˝A ´3 ´4 ´5 ´6 ´7 ˝4x ˝B ˝C ˝D ˝E ˝F Figure 5: Font table produced by testfont.tex The LightBulb10 font is now usable by TEX. LATEX 2ε , however, needs more information before documents can use the font. First, we create a font-description file that tells LATEX 2ε how to map fonts in a given font family and encoding to a particular font in a particular font size. For symbol fonts, this mapping is fairly simple. Symbol fonts almost always use the “U” (“Unknown”) font encoding and frequently occur in only one variant: normal weight and non-italicized. The filename for a font-description file important; it must be of the form “hencodingihfamilyi.fd”, where hencodingi is the lowercase version of the encoding name (typically “u” for symbol fonts) and hfamilyi is the name of the font family. For LightBulb10, let’s call this “bulb”. Figure 6 lists the contents of ubulb.fd. The document “LATEX 2ε Font Selection” [LAT00] describes \DeclareFontFamily and \DeclareFontShape in detail, but the gist of ubulb.fd is first to declare a U-encoded version of the bulb font family and then to specify that a LATEX 2ε request for a U-encoded version of bulb with a (m)edium font series (as opposed to, e.g., bold) and a (n)ormal font shape (as opposed to, e.g., italic) should translate into a TEX request for lightbulb10.tfm mechanically scaled to the current font size. 74 \DeclareFontFamily{U}{bulb}{} \DeclareFontShape{U}{bulb}{m}{n}{<-> lightbulb10}{} Figure 6: LATEX 2ε font-description file (ubulb.fd) The final step is to write a LATEX 2ε style file that defines a name for each symbol in the font. Because we have only one symbol our style file, lightbulb.sty (Figure 7), is rather trivial. Note that instead of typesetting “A” we could have had \lightbulb typeset “\char65”, “\char"41”, or “\char’101” (respectively, decimal, hexadecimal, and octal character offsets into the font). For a simple, one-character symbol font such as LightBulb10 it would be reasonable to merge ubulb.fd into lightbulb.sty instead of maintaining two separate files. In either case, a document need only include “\usepackage{lightbulb}” to make the \lightbulb symbol available. \newcommand{\lightbulb}{{\usefont{U}{bulb}{m}{n}A}} Figure 7: LATEX 2ε style file (lightbulb.sty) METAFONT normally produces bitmapped fonts. However, it is also possible, with the help of some external tools, to produce PostScript Type 1 fonts. These have the advantages of rendering better in Adobe® Acrobat® (at least in versions prior to 6.0) and of being more memory-efficient when handled by a PostScript interpreter. See http://www.tex.ac.uk/cgi-bin/texfaq2html?label=textrace for pointers to tools that can produce Type 1 fonts from METAFONT. 7.4 Math-mode spacing Terms such as “binary operators”, “relations”, and “punctuation” in Section 3 primarily regard the surrounding spacing. (See the Short Math Guide for LATEX [Dow00] for a nice exposition on the subject.) To use a symbol for a different purpose, you can use the TEX commands \mathord, \mathop, \mathbin, \mathrel, \mathopen, \mathclose, and \mathpunct. For example, if you want to use \downarrow as a variable (an “ordinary” symbol) instead of a delimiter, you can write “$3 x + \mathord{\downarrow}$” to get the properly spaced “3x+↓” rather ˙ that spaces like the ordithan the awkward-looking “3x+ ↓”. Similarly, to create a dotted-union symbol (“∪”) nary set-union symbol (\cup) it must be defined with \mathbin, just as \cup is. Contrast “$A \dot{\cup} B$” ˙ (“A∪B”) with “$A \mathbin{\dot{\cup}} B$” (“A ∪˙ B”). See The TEXbook [Knu86a] for the definitive description of math-mode spacing. The purpose of the “log-like symbols” in Tables 90 and 91 is to provide the correct amount of spacing around and within multiletter function names. Table 227 contrasts the output of the log-like symbols with various, naı̈ve alternatives. In addition to spacing, the log-like symbols also handle subscripts properly. For example, “\max_{p \in P}” produces “maxp∈P ” in text, but “max” as part of a displayed formula. p∈P Table 227: Spacing Around/Within Log-like Symbols LATEX expression Output $r $r $r $r r sin θ rsinθ rsinθ rsinθ \sin \theta$ sin \theta$ \mbox{sin} \theta$ \mathrm{sin} \theta$ (best) The amsmath package makes it straightforward to define new log-like symbols: \DeclareMathOperator{\atan}{atan} \DeclareMathOperator*{\lcm}{lcm} 75 The difference between \DeclareMathOperator and \DeclareMathOperator* involves the handling of subscripts. With \DeclareMathOperator*, subscripts are written beneath log-like symbols in display style and to the right in text style. This is useful for limit operators (e.g., \lim) and functions that tend to map over a set (e.g., \min). In contrast, \DeclareMathOperator tells TEX that subscripts should always be displayed to the right of the operator, as is common for functions that take a single parameter (e.g., \log and \cos). Table 228 contrasts symbols declared with \DeclareMathOperator and \DeclareMathOperator* in both text style ($. . .$) and display style (\[. . .\]).8 Table 228: Defining new log-like symbols Declaration function $\newlogsym {p \in P}$ \[ \newlogsym {p \in P} \] \DeclareMathOperator newlogsymp∈P newlogsymp∈P \DeclareMathOperator* newlogsymp∈P newlogsym p∈P It is common to use a thin space (\,) between the words of a multiword operators, as in “\DeclareMathOperator*{\argmax}{arg\,max}”. \liminf, \limsup, and all of the log-like symbols shown in Table 91 utilize this spacing convention. 7.5 Bold mathematical symbols LATEX does not normally use bold symbols when typesetting mathematics. However, bold symbols are occasionally needed, for example when naming vectors. Any of the approaches described at http://www.tex.ac.uk/cgi-bin/ texfaq2html?label=boldgreek can be used to produce bold mathematical symbols. Table 229 contrasts the output produced by these various techniques. As the table illustrates, these techniques exhibit variation in their formatting of Latin letters (upright vs. italic), formatting of Greek letters (bold vs. normal), formatting of operators and relations (bold vs. normal), and spacing. Table 229: Producing bold mathematical symbols 7.6 Package Code Output none none none amsbsy amsbsy bm fixmath $\alpha + b = \Gamma \div D$ $\mathbf{\alpha + b = \Gamma \div D}$ \boldmath$\alpha + b = \Gamma \div D$ $\pmb{\alpha + b = \Gamma \div D}$ $\boldsymbol{\alpha + b = \Gamma \div D}$ $\bm{\alpha + b = \Gamma \div D}$ $\mathbold{\alpha + b = \Gamma \div D}$ α+b=Γ÷D α+b=Γ÷D α+b=Γ÷D α+b=Γ÷D α+b=Γ÷D α+b=Γ÷D α+b=Γ ÷D (no bold) (faked bold) ASCII and Latin 1 quick reference Table 230 on the next page amalgamates data from various other tables in this document into a convenient reference for LATEX 2ε typesetting of ASCII characters, i.e., the characters available on a typical U.S. computer keyboard. The first two columns list the character’s ASCII code in decimal and hexadecimal. The third column shows what the character looks like. The fourth column lists the LATEX 2ε command to typeset the character as a text character. And the fourth column lists the LATEX 2ε command to typeset the character within a \texttt{. . .} command (or, more generally, when \ttfamily is in effect). The following are some additional notes about the contents of Table 230: 8 Note that \displaystyle can be used to force display style within $. . .$ and \textstyle can be used to force text style within \[. . .\]. 76 Table 230: LATEX 2ε ASCII Table Dec Hex 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 .. . 57 58 59 60 61 21 22 23 24 25 26 27 28 29 2A 2B 2C 2D 2E 2F 30 31 32 .. . 39 3A 3B 3C 3D Char Body text ! " # $ % & ’ ( ) * + , . / 0 1 2 .. . 9 : ; < = ! \textquotedbl \# \$ \% \& ’ ( ) * + , . / 0 1 2 .. . 9 : ; \textless = \texttt Dec Hex ! " \# \$ \% \& ’ ( ) * + , . / 0 1 2 .. . 9 : ; < = 62 63 64 65 66 67 .. . 90 91 92 93 94 95 96 97 98 99 .. . 122 123 124 125 126 3E 3F 40 41 42 43 .. . 5A 5B 5C 5D 5E 5F 60 61 62 63 .. . 7A 7B 7C 7D 7E Char Body text \texttt > ? @ A B C .. . Z [ \ ] ˆ \textgreater ? @ A B C .. . Z [ \textbackslash ] \^{} \_ ‘ a b c .. . z \{ \textbar \} \~{} > ? @ A B C .. . Z [ \char‘\\ ] \^{} \char‘\_ ‘ a b c .. . z \char‘\{ | \char‘\} \~{} ‘ a b c .. . z { | } ˜ • “"” is not available in the OT1 font encoding. • The characters “<”, “>”, and “|” do work as expected in math mode, although they produce, respectively, “¡”, “¿”, and “—” in text mode when using the OT1 font encoding.9 The following are some alternatives for typesetting “<”, “>”, and “|”: – Specify a document font encoding other than OT1 (as described on page 6). – Use the appropriate symbol commands from Table 2 on page 7, viz. \textless, \textgreater, and \textbar. – Enter the symbols in math mode instead of text mode, i.e., $<$, $>$, and $|$. Note that for typesetting metavariables many people prefer \textlangle and \textrangle to \textless and \textgreater, i.e., “hfilenamei” instead of “<filename>”. • Although “/” does not require any special treatment, LATEX additionally defines a \slash command which outputs the same glyph but permits a line break afterwards. That is, “increase/decrease” is always typeset as a single entity while “increase\slash{}decrease” may be typeset with “increase/” on one line and “decrease” on the next. • \textasciicircum can be used instead of \^{}, and \textasciitilde can be used instead of \~{}. Note that \textasciitilde and \~{} produce raised, diacritic tildes. “Text” (i.e., vertically centered) tildes can be generated with either the math-mode \sim command (shown in Table 55 on page 24), which produces 9 Donald Knuth didn’t think such symbols were important outside of mathematics so he omitted them from his text fonts. 77 a somewhat wide “∼”, or the textcomp package’s \texttildelow (shown in Table 35 on page 18), which produces a vertically centered “~” in most fonts but a baseline-oriented “~” in Computer Modern, txfonts, pxfonts, and various other fonts originating from the TEX world. If your goal is to typeset tildes in URLs or Unix filenames, your best bet is to use the url package, which has a number of nice features such as proper line-breaking of such names. • The various \char commands within \texttt are necessary only in the OT1 font encoding. In other encodings (e.g., T1), commands such as \{, \}, \_, and \textbackslash all work properly. • The code page 437 (IBM PC) version of ASCII characters 1 to 31 can be typeset using the ascii package. See Table 159 on page 47. • To replace “‘” and “’” with the more computer-like (and more visibly distinct) “`” and “'” within a verbatim environment, use the upquote package. Outside of verbatim, you can use \char18 and \char13 to get the modified quote characters. (The former is actually a grave accent.) Similar to Table 230, Table 231 on the next page is an amalgamation of data from other tables in this document. While Table 230 shows how to typeset the 7-bit ASCII character set, Table 231 shows the Latin 1 (Western European) character set, also known as ISO-8859-1. The following are some additional notes about the contents of Table 231: • A “(tc)” after a symbol name means that the textcomp package must be loaded to access that symbol. A “(T1)” means that the symbol requires the T1 font encoding. The fontenc package can change the font encoding document-wide. • Many of the \text. . . accents can also be produced using the accent commands shown in Table 18 on page 12 plus an empty argument. For instance, \={} is essentially the same as \textasciimacron. • The commands in the “LATEX 2ε ” columns work both in body text and within a \texttt{. . .} command (or, more generally, when \ttfamily is in effect). • The “£” and “$” glyphs occupy the same slot (36) of the OT1 font encoding, with “£” appearing in italic fonts and “$” appearing in roman fonts. A problem with LATEX’s default handling of this double-mapping is that “{\sffamily\slshape\pounds}” produces “$”, not “£”. Other font encodings use separate slots for the two characters and are therefore robust to the problem of “£”/”$” conflicts. Authors who use \pounds should select a font encoding other than OT1 (as explained on page 6) or use the textcomp package, which redefines \pounds to use the TS1 font encoding. • Character 173, \-, is shown as “-” but is actually a discretionary hyphen; it appears only at the end of a line. Microsoft® Windows® normally uses a superset of Latin 1 called “Code Page 1252” or “CP1252” for short. CP1252 introduces symbols in the Latin 1 “invalid” range (characters 128–159). Table 232 presents the characters with which CP1252 augments the standard Latin 1 table. The following are some additional notes about the contents of Table 232: • As in Table 231, a “(tc)” after a symbol name means that the textcomp package must be loaded to access that symbol. A “(T1)” means that the symbol requires the T1 font encoding. The fontenc package can change the font encoding document-wide. • Not all characters in the 128–159 range are defined. • Look up “euro signs” in the index for alternatives to \texteuro. While too large to incorporate into this document, a listing of ISO 8879:1986 SGML/XML character entities and their LATEX equivalents is available from http://www.bitjungle.com/~isoent/. Some of the characters presented there make use of isoent, a LATEX 2ε package (available from the same URL) that fakes some of the missing ISO glyphs using the LATEX picture environment.10 10 isoent is not featured in this document, because it is not available from CTAN and because the faked symbols are not “true” characters; they exist in only one size, regardless of the body text’s font size. 78 Table 231: LATEX 2ε Latin 1 Table Dec Hex 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 A1 A2 A3 A4 A5 A6 A7 A8 A9 AA AB AC AD AE AF B0 B1 B2 B3 B4 B5 B6 B7 B8 B9 BA BB BC BD BE BF C0 C1 C2 C3 C4 C5 C6 C7 C8 C9 CA CB CC CD CE CF D0 Char ¡ ¢ £ ¤ ¥ ¦ § ¨ © ª « ¬ ® ¯ ° ± ² ³ ´ µ ¶ · ¸ ¹ º » ¼ ½ ¾ ¿ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð LATEX 2ε !‘ \textcent \pounds \textcurrency \textyen \textbrokenbar \S \textasciidieresis \textcopyright \textordfeminine \guillemotleft \textlnot \\textregistered \textasciimacron \textdegree \textpm \texttwosuperior \textthreesuperior \textasciiacute \textmu \P \textperiodcentered \c{} \textonesuperior \textordmasculine \guillemotright \textonequarter \textonehalf \textthreequarters ?‘ \‘{A} \’{A} \^{A} \~{A} \"{A} \AA \AE \c{C} \‘{E} \’{E} \^{E} \"{E} \‘{I} \’{I} \^{I} \"{I} \DH (tc) (tc) (tc) (tc) (tc) (T1) (tc) (tc) (tc) (tc) (tc) (tc) (tc) (tc) (tc) (T1) (tc) (tc) (tc) (T1) 79 Dec Hex 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 D1 D2 D3 D4 D5 D6 D7 D8 D9 DA DB DC DD DE DF E0 E1 E2 E3 E4 E5 E6 E7 E8 E9 EA EB EC ED EE EF F0 F1 F2 F3 F4 F5 F6 F7 F8 F9 FA FB FC FD FE FF Char Ñ Ò Ó Ô Õ Ö × Ø Ù Ú Û Ü Ý Þ ß à á â ã ä å æ ç è é ê ë ı̀ ı́ ı̂ ı̈ ð ñ ò ó ô õ ö ÷ ø ù ú û ü ý þ ÿ LATEX 2ε \~{N} \‘{O} \’{O} \^{O} \~{O} \"{O} \texttimes \O \‘{U} \’{U} \^{U} \"{U} \’{Y} \TH \ss \‘{a} \’{a} \^{a} \~{a} \"{a} \aa \ae \c{c} \‘{e} \’{e} \^{e} \"{e} \‘{ı} \’{ı} \^{ı} \"{ı} \dh \~{n} \‘{o} \’{o} \^{o} \~{o} \"{o} \textdiv \o \‘{u} \’{u} \^{u} \"{u} \’{y} \th \"{y} (tc) (T1) (T1) (tc) (T1) Table 232: LATEX 2ε Code Page 1252 Table 7.7 Dec Hex 128 130 131 132 133 134 135 136 137 138 139 140 142 80 82 83 84 85 86 87 88 89 8A 8B 8C 8E Char € ‚ f „ ... † ‡ ˆ ‰ Š ‹ Œ Ž LATEX 2ε \texteuro \quotesinglbase \textit{f} \quotedblbase \dots \dag \ddag \textasciicircum \textperthousand \v{S} \guilsinglleft \OE \v{Z} (tc) (T1) (T1) (tc) (T1) Dec Hex 145 146 147 148 149 150 151 152 153 154 155 156 158 159 91 92 93 94 95 96 97 98 99 9A 9B 9C 9E 9F Char ‘ ’ “ ” • – — ˜ ™ š › œ ž Ÿ LATEX 2ε ‘ ’ ‘‘ ’’ \textbullet ---\textasciitilde \texttrademark \v{s} \guilsinglright \oe \v{z} \"{Y} (T1) About this document History David Carlisle wrote the first version of this document in October, 1994. It originally contained all of the native LATEX symbols (Tables 39, 47, 55, 77, 90, 92, 106, 107, 115, 118, 139, and a few tables that have since been reorganized) and was designed to be nearly identical to the tables in Chapter 3 of Leslie Lamport’s book [Lam86]. Even the table captions and the order of the symbols within each table matched! The AMS symbols (Tables 40, 56, 57, 80, 81, 93, 97, 103, and 140) and an initial Math Alphabets table (Table 147) were added thereafter. Later, Alexander Holt provided the stmaryrd tables (Tables 41, 49, 58, 83, 88, and 104). In January, 2001, Scott Pakin took responsibility for maintaining the symbol list and has since implemented a complete overhaul of the document. The result, now called, “The Comprehensive LATEX Symbol List”, includes the following new features: • the addition of a handful of new math alphabets, dozens of new font tables, and thousands of new symbols • the categorization of the symbol tables into body-text symbols, mathematical symbols, science and technology symbols, dingbats, and other symbols, to provide a more user-friendly document structure • an index, table of contents, and a frequently-requested symbol list, to help users quickly locate symbols • symbol tables rewritten to list the symbols in alphabetical order • appendices to provide additional information relevant to using symbols in LATEX • tables showing how to typeset all of the characters in the ASCII and Latin 1 font encodings Furthermore, the internal structure of the document has been completely altered from David’s original version. Most of the changes are geared towards making the document easier to extend, modify, and reformat. Build characteristics Table 233 on the following page lists some of this document’s build characteristics. Most important is the list of packages that LATEX couldn’t find, but that symbols.tex otherwise would have been able to take advantage of. Complete, prebuilt versions of this document are available from CTAN (http://www.ctan.org/ or one of its many mirror sites) in the directory tex-archive/info/symbols/comprehensive. Table 234 shows the package date (specified in the .sty file with \ProvidesPackage) for each package that was used to build this document and that specifies a package date. Packages are not listed in any particular order in either Table 233 or 234. 80 Table 233: Document Characteristics Characteristic Value Source file: Build date: Symbols documented: Packages included: symbols.tex August 29, 2008 ∼3086 textcomp latexsym amssymb stmaryrd euscript wasysym pifont manfnt bbding undertilde ifsym tipa tipx extraipa wsuipa phonetic ulsy ar metre txfonts fclfont skak ascii dingbat skull eurosym esvect yfonts yhmath esint mathdots trsym universa upgreek chemarr chemarrow nath trfsigns mathtools phaistos arcs vietnam t4phonet holtpolt semtrans dictsym extarrows protosem hieroglf mathdesign arev cmll extpfeil keystroke epsdice feyn universal accents nicefrac bm mathrsfs chancery calligra bbold dsfont bbm mathabx overrightarrow harmony cclicenses MnSymbol fge turnstile simpsons staves igo mbboard msym10.tfm Packages omitted: 7.8 Copyright and license The Comprehensive LATEX Symbol List Copyright © 2008, Scott Pakin This work may be distributed and/or modified under the conditions of the LATEX Project Public License, either version 1.3c of this license or (at your option) any later version. The latest version of this license is in http://www.latex-project.org/lppl.txt and version 1.3c or later is part of all distributions of LATEX version 2006/05/20 or later. This work has the LPPL maintenance status “maintained”. The current maintainer of this work is Scott Pakin. 81 Table 234: Package versions used in the preparation of this document Name Date textcomp latexsym amssymb stmaryrd euscript wasysym pifont manfnt bbding undertilde ifsym tipa tipx wsuipa metre txfonts skak ascii dingbat skull eurosym yfonts mathdots trsym universa upgreek chemarr mathtools phaistos arcs t4phonet semtrans dictsym extarrows protosem hieroglf arev extpfeil keystroke epsdice feyn universal accents nicefrac bm calligra 2005/09/27 1998/08/17 2002/01/22 1994/03/03 2001/10/01 2003/10/30 2005/04/12 1999/07/01 1996/06/21 2000/08/08 2000/04/18 2002/08/08 2003/01/01 1994/07/16 2001/12/05 2005/01/03 2003/09/27 2006/05/30 2001/04/27 2002/01/23 1998/08/06 2003/01/08 2006/03/16 2000/06/25 98/08/01 2003/02/12 2006/02/20 2004/10/10 2004/04/23 2004/05/09 2004/06/01 1998/02/10 2004/07/26 2002/03/30 2005/03/18 2000/09/23 2005/06/14 2006/07/27 2003/08/15 2001/02/15 2002/04/23 97/12/24 2006/05/12 1998/08/04 2004/02/26 1996/07/18 82 References [AMS99] American Mathematical Society. User’s Guide for the amsmath Package (Version 2.0), December 13, 1999. Available from ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf. 108 [Ber01] Karl Berry. Fontname: Filenames for TEX fonts, June 2001. Available from http://www.ctan.org/ tex-archive/info/fontname. 7.3 [Che97] Raymond Chen. A METAFONT of ‘Simpsons’ characters. Baskerville, 4(4):19, September 1997. ISSN 1354-5930. Available from http://tug.ctan.org/usergrps/uktug/baskervi/4 4/bask4 4.ps. [Dow00] Michael Downes. Short math guide for LATEX, July 19, 2000. Version 1.07. Available from http:// www.ams.org/tex/short-math-guide.html. 90, 91, 132, 7.4 [Gib97] Jeremy Gibbons. Hey—it works! TUGboat, 18(2):75–78, June 1997. Available from http:// www.tug.org/TUGboat/Articles/tb18-2/tb55works.pdf. 118 [Knu86a] Donald E. Knuth. The TEXbook, volume A of Computers and Typesetting. Addison-Wesley, Reading, MA, USA, 1986. 7.3, 7.3, 7.3, 7.3, 7.4 [Knu86b] Donald E. Knuth. The METAFONTbook, volume C of Computers and Typesetting. Addison-Wesley, Reading, MA, USA, 1986. 7.3, 7.3 [Lam86] Leslie Lamport. LATEX: A document preparation system. Addison-Wesley, Reading, MA, USA, 1986. 7.7 [LAT98] LATEX3 Project Team. A new math accent. LATEX News. Issue 9, June 1998. Available from http:// www.ctan.org/tex-archive/macros/latex/doc/ltnews09.pdf (also included in many TEX distributions). 117 [LAT00] LATEX3 Project Team. LATEX 2ε font selection, January 30, 2000. Available from http://www.ctan.org/ tex-archive/macros/latex/doc/fntguide.ps (also included in many TEX distributions). 7.3 83 Index If you’re having trouble locating a symbol, try looking under “T” for “\text. . .”. Many text-mode commands begin with that prefix. Also, accents are shown over/under a gray box, e.g., “ á ” for “\’”. Some symbol entries appear to be listed repeatedly. This happens when multiple packages define identical (or nearly identical) glyphs with the same symbol name. Symbols \" (ä) . . . . . . . . . \# (#) . . . . . . . . \$ ($) . . . . . . . . . \% (%) . . . . . . . . \& (&) . . . . . . . . \’ (á) . . . . . . . . . ( (() . . . . . . . . . . ) ()) . . . . . . . . . . \, . . . . . . . . . . . . \- (-) . . . . . . . . . \. (ȧ) . . . . . . . . . / (/) . . . . . . . . . . [ ([) . . . . . . . . . . \\ . . . . . . . . . . . . ] (]) . . . . . . . . . . \^ (â) . . . . . . . . . \^{} (ˆ) . . . . . . . \| (k) . . . . . . . . . \| (a ¿) . . . . . . . . . \= (ā) . . . . . . . . . \={} (¯) . . . . . . . | (|) . . . . . . . . . . \_ ( ) . . . . . . . . . \{ ({) . . . . . . . . . \} (}) . . . . . . . . . \‘ (à) . . . . . . . . . \~ (ã) . . . . . . . . . \~{} (˜) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .... . . 7, . . 7, . . 7, . . 7, .... .... .... .... . 78, .... .... .... .... .... .... .... .... .... .... .... .... . . 7, 7, 34, 7, 34, ..... ..... ..... A a (esvect package option) \a (×) . . . . . . . . . . . . . . \AA (Å) . . . . . . . . . . . . . \aa (å) . . . . . . . . . . . . . \AAaleph (A) . . . . . . . . \AAayin (O) . . . . . . . . . \AAbeth (B) . . . . . . . . . \AAdaleth (D) . . . . . . . . \AAhe (E) . . . . . . . . . . . \AAhelmet (V) . . . . . . . \AAheth (h) . . . . . . . . . \AAkaph (K) . . . . . . . . . \AAlamed (L) . . . . . . . . \Aaleph (a) . . . . . . . . . \AApe (P) . . . . . . . . . . . \AAqoph (Q) . . . . . . . . . \AAresh (R) . . . . . . . . . \AAsade (X) . . . . . . . . . \Aayin (o) . . . . . . . . . . \AAyod (Y) . . . . . . . . . . \Abeth (b) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 77 77 77 77 12 34 34 76 79 12 34 34 67 34 12 77 34 12 12 78 34 78 78 78 12 12 77 38 60 . 8 . 8 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 absolute value . . see \lvert and \rvert abzüglich . . see \textdiscount \AC (:) . . . . . . . . . . . . . . . . . 45 \acarc . . . . . . . . . . . . . . . . . 15 \acbar . . . . . . . . . . . . . . . . . 15 accents . 12–16, 36–39, 46, 70–72 any character as . . . . . . . 70 extensible 37, 38, 40, 71–72 multiple per character . . 70 accents (package) . . 37, 70, 81, 82 \accentset . . . . . . . . . . . . . . 70 \ACK (␆) . . . . . . . . . . . . . . . . 47 actuarial symbols . . . . . . . . . 71 \acute (´) . . . . . . . . . . . . . . 36 \acutus (á) . . . . . . . . . . . . . . 15 \Adaleth (d) . . . . . . . . . . . . 61 adjoint (†) . . . . . . . . . . see \dag Adobe Acrobat . . . . . . . . . . . 75 . \adots ( . . ) . . . . . . . . . . 41, 70 advancing . . see \textadvancing \AE (Æ) . . . . . . . . . . . . . . . . . 8 \ae (æ) . . . . . . . . . . . . . . . . . . 8 \agemO (0) . . . . . . . . . . . . . . 42 \Agimel (g) . . . . . . . . . . . . . 61 \Ahe (e) . . . . . . . . . . . . . . . . 61 \Ahelmet (v) . . . . . . . . . . . . 61 \Aheth (H) . . . . . . . . . . . . . . 61 \ain (s) . . . . . . . . . . . . . . . . . 16 \Akaph (k) . . . . . . . . . . . . . . 61 \Alad (}) . . . . . . . . . . . . . . . 36 \alad (}) . . . . . . . . . . . . . . . 36 \Alamed (l) . . . . . . . . . . . . . 61 \Alas ({) . . . . . . . . . . . . . . . 36 \alas ({) . . . . . . . . . . . . . . . 36 \aleph (ℵ) . . . . . . . . . . . 32, 42 \Alif (-) . . . . . . . . . . . . . . . . 12 \alpha (α) . . . . . . . . . . . . . . 31 alphabets African . . . . . . . . . . . . . . 8 Greek . . . . . . . . 31, 32, 44 Hebrew . . . . . . . . . . 32, 44 hieroglyphic . . . . . . . . . . 62 math . . . . . . . . . . . . . . . 44 phonetic . . . . . . . . . . 9–12 proto-Semitic . . . . . . . . . 61 Vietnamese . . . . . . . . . . . 8 \alphaup (α) . . . . . . . . . . . . . 31 alpine symbols . . . . . . . . . . . . 58 \Alt ( Alt ) . . . . . . . . . . . . . 47 84 \AltGr ( AltGr ) . . . . . . . . . . 47 \amalg (q) . . . . . . . . . . . . . . 19 \Amem (m) . . . . . . . . . . . . . . . 61 ampersand . . . . . . . . . . . see \& AMS . . . 6, 8, 19, 21, 24, 26–34, 37–39, 41, 42, 63, 80 amsbsy (package) . . . . . . . . . . 76 amsfonts (package) 19, 24, 26, 28, 42, 44 amsmath (package) 6, 30, 37, 66, 75 amssymb (package) 6, 19, 24, 26, 28, 37, 42, 44, 81, 82 amstext (package) . . . . . . 68, 69 \Anaclasis (÷) . . . . . . . . . . . 60 \anaclasis (÷) . . . . . . . . . . . 60 O \anchor ( ) . . . . . . . . . . . . 55 and . . . . . . . . . . . . . see \wedge \angle (∠) . . . . . . . . . . . . . . 42 \angle (6 ) . . . . . . . . . . . . . . 42 angles . . . . . . . . . . . . . . . 42, 43 \Anglesign (W) . . . . . . . . . . . 43 Ångström unit math mode . see \mathring text mode . . . . . . . see \AA \Angud (i) . . . . . . . . . . . . . . . 36 \angud (i) . . . . . . . . . . . . . . . 36 angular minutes . . . . see \prime angular seconds . . . . see \prime \Angus (h) . . . . . . . . . . . . . . . 36 \angus (h) . . . . . . . . . . . . . . . 36 \Ankh (ˆ) . . . . . . . . . . . . . . . 57 \annu ( ) . . . . . . . . . . . . . . . 71 annuity . . . . . . . . . . . . . . . . . 71 \Antidiple (<) . . . . . . . . . . . 60 \antidiple (<) . . . . . . . . . . . 60 · ) . . . . . . . . . . 60 \Antidiple* (< · · ) . . . . . . . . . . 60 \antidiple* (< · \Antisigma (⊃) . . . . . . . . . . . 60 \antisigma (⊃) . . . . . . . . . . . 60 \Anun (n) . . . . . . . . . . . . . . . 61 \Ape (p) . . . . . . . . . . . . . . . . 61 APL modifiers . . . . . . . . . . . . 46 symbols . . . . . . . . . . . . . 46 \APLbox (~) . . . . . . . . . . . . . 46 \APLcirc (◦) . . . . . . . . . . . . . 46 \APLcomment () . . . . . . . . . . 46 \APLdown (F) . . . . . . . . . . . . 46 \APLdownarrowbox (o) . . . . . 46 \APLinput (}) . . . . . . . . . . . 46 \APLinv (÷ ~) . . . . . . . . . . . . . 46 \APLleftarrowbox (p) . . . . . 46 \APLlog () . . . . . . . . . . . . . 46 \APLminus (−) . . . . . . . . . . . 46 \APLnot (∼) . . . . . . . . . . . . . . 46 \APLrightarrowbox (q) . . . . . 46 \APLstar (E) . . . . . . . . . . . . 46 \APLup ( ) . . . . . . . . . . . . . . 46 \APLuparrowbox (n) . . . . . . . 46 \APLvert ( | ) . . . . . . . . . . . . . 46 \apprge (?) . . . . . . . . . . . . . 27 \apprle (>) . . . . . . . . . . . . . 27 \approx (≈) . . . . . . . . . . . . . 24 \approxeq (u) . . . . . . . . . . . 24 \Aqoph (q) . . . . . . . . . . . . . . 61 \Aquarius (ê) . . . . . . . . . . . 46 \aquarius (e) . . . . . . . . . . . 46 \AR ( ) . . . . . . . . . . . . . . . . 45 ar (package) . . . . . . . . . . 45, 81 arc . . . . . . . . . . . . . see accents \arccos (arccos) . . . . . . . . . . 30 arcminutes . . . . . . . see \prime arcs (package) . . . . . . 15, 81, 82 arcseconds . . . . . . . . see \prime \arcsin (arcsin) . . . . . . . . . . 30 \arctan (arctan) . . . . . . . . . . 30 \Aresh (r) . . . . . . . . . . . . . . 61 arev (package) . . . . 43, 56, 81, 82 \arg (arg) . . . . . . . . . . . . . . . 30 \Aries (à) . . . . . . . . . . . . . . 46 \aries () . . . . . . . . . . . . . . 46 \ArrowBoldDownRight ( ) . . 49 \ArrowBoldRightCircled ( ) 49 \ArrowBoldRightShort ( ) . . . 49 \ArrowBoldRightStrobe ( ) . 49 \ArrowBoldUpRight ( ) . . . . 49 \Arrownot (Y) . . . . . . . . . . . . . 30 \arrownot (X) . . . . . . . . . . . . . 30 arrows . . . . . . . . . 28, 29, 47, 49 diagonal, for reducing subexpressions . . . . . . . . . . 37 double-headed, diagonal . 69 extensible . . . . . . . . 37–40 fletched . . . . . . . . . . . . . 49 negated w. . . . . . . . . . . . . 29 \Arrowvert (w) . . . . . . . . . . 34 \arrowvert () . . . . . . . . . . . 34 Arseneau, Donald . . . 67, 69–71 \Asade (x) . . . . . . . . . . . . . . 61 \Asamekh (s) . . . . . . . . . . . . 61 ASCII . . . . . . 6, 8, 47, 76, 78, 80 table . . . . . . . . . . . . . . . 77 ascii (package) . . . . 47, 78, 81, 82 \ascnode () . . . . . . . . . . . . 46 \Ashin (S) . . . . . . . . . . . . . . 61 aspect ratio . . . . . . . . . . . . . . 45 \ast (∗) . . . . . . . . . . . . . . . . 19 A y { z w x \Asteriscus (× ····) . . . . . . . . . . \asteriscus (× ····) . . . . . . . . . . \Asterisk ( ) . . . . . . . . . . . \AsteriskBold ( ) . . . . . . . . \AsteriskCenterOpen ( ) . . . \AsteriskRoundedEnds ( ) . . asterisks . . . . . . . . . . . . . 52, \AsteriskThin ( ) . . . . . . . . \AsteriskThinCenterOpen ( ) \asterism (** *) . . . . . . . . . . . astrological symbols . . . . . . . . astronomical symbols . . . . . . . \astrosun () . . . . . . . . . . . \asymp () . . . . . . . . . . . . . . \atan (atan) . . . . . . . . . . . . . \ataribox (m) . . . . . . . . . . . . \Atav (t) . . . . . . . . . . . . . . . \Ateth (T) . . . . . . . . . . . . . . \AtForty (Ø) . . . . . . . . . . . \AtNinetyFive (Ó) . . . . . . . atomic math objects . . . . 30, \AtSixty (Õ) . . . . . . . . . . . N A B X C \autoleftarrow ( D DGGGGG) 60 60 52 52 52 52 53 52 52 67 46 46 46 24 75 56 61 61 57 57 76 57 . . . . 39 EGGGGG GGGGGC) \autoleftrightharpoons ( . . . . . . . . . 39 GGGGGA) . . . 39 \autorightarrow ( GGGGGB) FGGGGG \autorightleftharpoons ( ......... \Avav (w) . . . . . . \Ayn (,) . . . . . . . \Ayod (y) . . . . . . \Azayin (z) . . . . 39 ... ... ... ... . . . . . . . . . . . . . . . . . . . . . . . . 61 12 61 61 B \B . . . . . . . . . . . . . . . . . . . . . . 8 \B (´) . . . . . . . . . . . . . . . . . . 60 ˘ b (esvect package option) . . . . 38 \b (a) . . . . . . . . . . . . . . . . . . 12 ¯ \b ( ) . . . . . . . . . . . . . . . . . . 60 ˘ \babygamma (!) . . . . . . . . . . . 11 \backepsilon () . . . . . . . . . 24 \backprime (8) . . . . . . . . . . . 42 \backsim (v) . . . . . . . . . . . . 24 \backsimeq (w) . . . . . . . . . . 24 \backslash (\) . . . . . . . . 34, 42 banana brackets . . . . . . . . . . . . . . see \llparenthesis and \rrparenthesis \bar (¯) . . . . . . . . . . . . . . . . 36 \barb () . . . . . . . . . . . . . . . 11 \barcirc (− ◦ ) . . . . . . . . . . . . 67 \bard () . . . . . . . . . . . . . . . 11 \bari (') . . . . . . . . . . . . . . . . 11 85 \barj (j) . . . . . . \barl (.) . . . . . . \barlambda () . \baro () . . . . . \baro ( vs. <) . \baro (<) . . . . . \barp (A) . . . . . barred letters . . \barsci (+) . . . . \barscu (X) . . . \baru (T) . . . . . \barwedge (Z) . . \Bat (ý) . . . . . . \bauarrow ( ) . \baucircle ( ) . \baucircle ( ) \baucross ( ) . \baudash ( ) . . \baueclipse ( ) \bauequal ( ) . \bauface ( ) . . \bauforms ( ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 11 11 20 64 11 11 66 11 11 11 19 57 49 54 54 51 58 54 58 58 58 \bauforms ( ) . . . . . . . . . . 57 \bauhead ( ) . . . . . . . . . . . . 58 \bauhead ( ) . . . . . . . . . . . 57 \bauhole ( ) . . . . . . . . . . . . 54 \bauplus ( ) . . . . . . . . . . . . 58 \baupunct ( ) . . . . . . . . . . . 54 \bauquarter ( ) . . . . . . . . . . 58 \bauquestion ( ) . . . . . . . . . 58 \bausquare ( ) . . . . . . . . . . . 54 \bausquare ( ) . . . . . . . . . . 54 \bautriangle ( ) . . . . . . . . . 54 \bautriangle ( ) . . . . . . . . . 54 \bauwhitearrow ( ) . . . . . . . 49 \bauwindow ( ) . . . . . . . . . . . 58 \BB ( ´) . . . . . . . . . . . . . . . . . 60 ˘˘ \Bb (´ ) . . . . . . . . . . . . . . . . . 60 ˘˘ \bB ( ´) . . . . . . . . . . . . . . . . . 60 ˘˘ \bb ( ) . . . . . . . . . . . . . . . . . 60 ˘˘ \bba (˘×˘) . . . . . . . . . . . . . . . . 60 \bbalpha () . . . . . . . . . . . . . 44 \bbar (b̄) . . . . . . . . . . . . . . . 66 \bbb (˘˘) . . . . . . . . . . . . . . . . 60 ˘ \bbbeta () . . . . . . . . . . . . . . 44 \Bbbk (k) . . . . . . . . . . . . . . . 32 bbding (package) . 49–52, 54, 55, 64, 81, 82 \bbdollar . . . . . . . . . . . . . . . 44 \bbetter (g) . . . . . . . . . . . . 59 \bbeuro . . . . . . . . . . . . . . . . 44 \bbgamma () . . . . . . . . . . . . . 44 bbgreekl (mathbbol package option) . . . . . . . . . 44 \BBm ( ´ ) . . . . . . . . . . . . . . . 60 ˘¯˘) . . . . . . . . . . . . . . . 60 \Bbm (¯ ˘´˘) . . . . . . . . . . . . . . . 60 \bBm (¯¯ ´ ˘¯˘¯ bbm (package) . . \bbm ( ) . . . . . ˘˘ ) . . . . . \bbmb ¯(¯ ˘¯˘˘¯ \bbmx ( ¯¯) . . . . ¯˘˘¯˘ . . . . . \bbnabla bbold (package) . \bbslash () . . \bdecisive (i) \Beam (") . . . . . \Bearing (#) . . \because (∵) . . \BEL (␇) . . . . . . \bell ( ) . . . . . Berry, Karl . . . . \beta (β) . . . . . \betaup (β) . . . . \beth (i) . . . . . \betteris (b) . \between (G)” . . . \bibridge (a ”) . . \Bicycle (®) . . \Big . . . . . . . . . \big . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44, .. .. .. .. 44, ... ... ... ... 24, ... ... ... ... ... ... ... ... ... ... 63, 63, 81 60 60 60 44 81 20 59 48 48 41 47 56 83 31 31 32 59 24 14 55 65 65 \bigbosonloop (!) . . . . . . . . . e \bigbox (T) . . . . . . . . . . . . . \bigcap ( ) . . . . . . . . . . . . . \bigcirc () . . . . . . . . . . . . \BigCircle ( ) . . . . . . . . . . \BigCrossS( ) . . . . . . . . . . . \bigcup ( ) . b ............ \bigcurlyvee ( )c . . . . . . . . . \bigcurlywedge ( ) . . . . . . . \BigDiamondshape ( ) . . . . . \Bigg . . . . . . . . . . . . . . . 63, \bigg . . . . . . . . . . . . . . . 63, \BigHBar ( ) . . g. . . . . . . . . . \biginterleave ( ) . . . . . . . \BigLowerDiamond ( ) . . . . . \bignplus J ( ) ........... \bigodot ( L ) ............ \bigoplus ( N ) ........... \bigotimes ( f) . . . . . . . . . . \bigparallel ˙ ( ) ......... \bigparr ( ) . . . . . . . . . . . . \BigRightDiamond ( ) . . . . . \bigsqcap ( ) . . . . . . . . . . . \bigsqcapplus F ( ) ........ \bigsqcup ( ) . . . . . . . . . . . \bigsqcupplus ( ) . . . . . . . . \BigSquare ( ) . . . . . . . . . . \bigstar (F) . . . . . . . . . . . . \BigTriangleDown (` ) . . . . . \bigtriangledown ( ) . ` .... \bigtriangledown (5 vs. ) . \bigtriangledown (5) . . . . . \BigTriangleLeft ( ) . . . . . 48 21 21 19 53 53 21 21 21 53 65 65 53 21 53 21 21 21 21 21 23 53 21 22 21 22 53 42 53 21 64 19 53 % & _ / # " . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ \BigTriangleRight ( ) . . . . 53 \BigTriangleUp (a ) . . . . . . . 53 \bigtriangleup ( ) . .a. . . . . 21 \bigtriangleup (4 vs. ) . . 64 \bigtriangleup U (4) . . . . . . . 19 \biguplus ( ) . . . . . . . . . . . 21 \BigVBar W ( ) . . . . . . . . . . . . 53 \bigvee ( )V . . . . . . . . . . . . . 21 \bigwedge ˘ ( ) . . . . . . . . . . . 21 \bigwith ( ) . . . . . . . . . . . . 23 \binampersand (N) . . . . . . . . 20 binary operators . . . . . . . 19–21 binary relations . . . . . . . . 24–27 negated . . . . . . . . . . 24, 25 \bindnasrepma (O) . . . . . . . . 20 \Biohazard (h) . . . . . . . . . . 48 biological symbols . . . . . . . . . 48 bishop . . . . . . . see chess symbols \bishoppair (a) . . . . . . . . . . 59 blackboard bold . see alphabets, math \blacklozenge () . . . . . . . . 42 \blacksmiley (-) . . . . . . . . . 56 \blacksquare () . . . . . . . . . 42 \blacktriangle (N) . . . . . . . 42 \blacktriangledown (H) . . . . 42 \blacktriangleleft (J) . . . . 27 \blacktriangleright (I) . . . 27 blank . . . . . . . . see \textblank \Bleech (Ë) . . . . . . . . . . . . . 57 \blitza ( ) . . . . . . . . . . . . . 29 \blitzb ( ) . . . . . . . . . . . . . 29 \blitzc ( ) . . . . . . . . . . . . . 29 \blitzd ( ) . . . . . . . . . . . . . 29 \blitze ( ) . . . . . . . . . . . . . 29 \Bm (´) . . . . . . . . . . . . . . . . . 60 ¯˘ bm (package) . . . . . . . 76, 81, 82 \bm . . . . . . . . . . . . . . . . . . . . 76 \bm ( ) . . . . . . . . . . . . . . . . . 60 ˘ \bmod¯ . . . . . . . . . . . . . . . . . . 30 body-text symbols . . . . . . . 7–18 bold symbols . . . . . . . . . . . . . 76 \boldmath . . . . . . . . . . . . . . . 76 \boldsymbol . . . . . . . . . . . . . 76 born . . . . . . . . . . see \textborn bosons . . . . . . . . . . . . . . . . . 48 \bot (⊥) . . . . . . . . . . . . . 32, 68 \Bouquet (¥) . . . . . . . . . . . . 57 \Bowtie (1) . . . . . . . . . . . . . 56 \bowtie (./) . . . . . . . . . . . . . 24 \Box () . . . . . . . . . . . . . . . . 42 \Box (2) . . . . . . . . . . . . . . . . 42 \boxast (i) . . . . . . . . . . . . . 20 \boxbar (k) . . . . . . . . . . . . . 20 \boxbox () . . . . . . . . . . . . . 20 \boxbslash (j) . . . . . . . . . . . 20 \boxcircle () . . . . . . . . . . . 20 \boxdot ( ) . . . . . . . . . . 19, 20 ! 86 \boxdotLeft () . . . . . . . . . 29 \boxdotleft () . . . . . . . . . 29 \boxdotRight () . . . . . . . . 29 \boxdotright () . . . . . . . . 29 \boxempty () . . . . . . . . . . . 20 \boxLeft () . . . . . . . . . . . 29 \boxleft () . . . . . . . . . . . 29 \boxminus () . . . . . . . . . . . 19 \boxplus () . . . . . . . . . . . . 19 \boxRight () . . . . . . . . . . 29 \boxright () . . . . . . . . . . 29 \boxslash (l) . . . . . . . . . . . . 20 \boxtimes () . . . . . . . . . . . 19 bra . . . . . . . . . . . . . . . . . . . . 34 \braceld (z) . . . . . . . . . . . . . 71 \bracerd ({) . . . . . . . . . . . . . 71 \bracevert ( ) . . . . . . . . . . 34 brackets . . . . . . . see delimiters braket (package) . . . . . . . . . . 34 \Break ( Break ) . . . . . . . . . . 47 breve . . . . . . . . . . . see accents \breve (˘) . . . . . . . . . . . . . . 36 \breve (ă) . . . . . . . . . . . . . . 15 \brokenvert (|) . . . . . . . . . . . 56 Bronger, Torsten . . . . . . . . . . 68 \BS (␈) . . . . . . . . . . . . . . . . . 47 \BSEfree (n) . . . . . . . . . . . . 48 \BSpace ( →−7 ) . . . . . . . . . . 47 \bullet (•) . . . . . . . . . . . . . . 19 bullseye . . . see \textbullseye \Bumpeq (m) . . . . . . . . . . . . . 24 \bumpeq (l) . . . . . . . . . . . . . 24 \bupperhand (e) . . . . . . . . . . 59 C \C ( ) . . . . . . . . . . . . . . . . . . 60 c (esvect package option) . . . . 38 \c (a̧) . . . . . . . . . . . . . . . 12, 79 \c ( ) . . . . . . . . . . . . . . . . . 60 calligra (package) . . . . 44, 81, 82 Calligra (font) . . . . . . . . . . . . 44 calrsfs (package) . . . . . . . . . . 44 \CAN (␘) . . . . . . . . . . . . . . . . 47 cancel (package) . . . . . . . . . . 37 \Cancer (ã) . . . . . . . . . . . . . 46 \cancer (_) . . . . . . . . . . . . . 46 \Cap (e) . . . . . . . . . . . . . . . . 19 \cap (∩) . . . . . . . . . . . . . . . . 19 \Capricorn (é) . . . . . . . . . . . 46 \capricornus (d) . . . . . . . . . 46 card suits . . . . . . . . . 42, 43, 55 cardinality . . . . . . . see \aleph care of (c/o) . . . . . . . . . . . . . . 43 caret . . . . . . . . . . . . . . . . see \^ Carlisle, David . . . . . . . . . 1, 80 caron . . . . . . . . . . . see accents carriage return . . . . . . . . 47, 55 \carriagereturn ( ) . . . . . . 55 C castle . . . . . . . see chess symbols \Catalexis (∧) . . . . . . . . . . . 60 \catalexis (∧) . . . . . . . . . . . 60 catamorphism see \llparenthesis and \rrparenthesis \Cc ( ) . . . . . . . . . . . . . . . . . 60 \cc ( ) . . . . . . . . . . . . . . . . 60 \Ccc ( ) . . . . . . . . . . . . . . . . 60 cclicenses (package) . . . . . . . . 81 \cdot (·) . . . . . . . . . . . . . 19, 67 \cdotp (·) . . . . . . . . . . . . . . . 40 \cdots (· · · ) . . . . . . . . . . . . . 40 Cedi . . see \textcolonmonetary cedilla . . . . . . . . . . . see accents celestial bodies . . . . . . . . . . . 46 \celsius (℃) . . . . . . . . . . . . 45 \Celtcross (‡) . . . . . . . . . . . 57 \cent (¢) . . . . . . . . . . . . . . . 17 \centerdot () . . . . . . . . . . . 19 centernot (package) . . . . . . . . 68 \centernot . . . . . . . . . . . . . . 68 \centre (I) . . . . . . . . . . . . . 59 cents . . . . . . . . . . see \textcent \CEsign (C) . . . . . . . . . . . . . 48 chancery (package) . . . . . . . . . 81 \char . . . . . . . . . . . . . . . . . . . 6 Charter (font) . . . . . . . . . 17, 23 \check (ˇ) . . . . . . . . . . . . . . 36 check marks . . . . . . . . . . 51, 55 \checked () . . . . . . . . . . . . 56 \CheckedBox (2 ) . . . . . . . . . . 51 \Checkedbox (V) . . . . . . . . . . 55 \Checkmark ( ) . . . . . . . . . . 51 \checkmark (X) . . . . . . . . . . . 8 \checkmark (X vs. ) . . . . . . 64 \checkmark ( ) . . . . . . . . . . 55 \CheckmarkBold ( ) . . . . . . . 51 chemarr (package) . . . 39, 81, 82 chemarrow (package) . 29, 39, 81 \chemarrow ( ) . . . . . . . . . . 29 Chen, Raymond . . . . . . . . . . 83 chess symbols . . . . . . . . . . . . 59 \chi (χ) . . . . . . . . . . . . . . . . 31 \chiup (χ) . . . . . . . . . . . . . . . 31 \circ (◦) . . . . . . . . . 19, 43, 67 \circeq ($) . . . . . . . . . . . . . 24 \CIRCLE ( ) . . . . . . . . . . . . . 56 \Circle ( ) . . . . . . . . . . . . . 53 \Circle (# vs. ) . . . . . . . . 64 \Circle (#) . . . . . . . . . . . . . 56 \circlearrowleft () . . . . . 28 \circlearrowright () . . . . 28 circled numbers . . . . . . . . . . . 52 \CircledA (ª) . . . . . . . . . . . 57 \circledast (~) . . . . . . . . . . 19 \circledbar (V) . . . . . . . . . . 20 \circledbslash (W) . . . . . . . 20 ! D D " A 5 5 \circledcirc (}) . . . . . . . . . 19 \circleddash () . . . . . . . . . 19 \circleddot . . . . . . . see \odot \circleddotleft () . . . . . 29 \circleddotright () . . . . . 29 \circledgtr (S) . . . . . . . . . . 25 \circledless (R) . . . . . . . . . 25 \circledminus . . . . see \ominus \circledotleft . . . . . . . . . see \circleddotleft \circledotright . . . . . . . . see \circleddotright \circledplus . . . . . see \oplus \circledR (r) . . . . . . . . . 8, 32 \circledS (s) . . . . . . . . . . . 32 \circledslash . . . . see \oslash \circledtimes . . . . see \otimes \circledvee (U) . . . . . . . . . . 20 \circledwedge (T) . . . . . . . . 20 \circleleft () . . . . . . . . . 29 \circleright () . . . . . . . . 29 circles . . . . . . . . . . . . 53, 54, 56 \CircleShadow ( ) . . . . . . . . 54 \CircleSolid ( ) . . . . . . . . . 54 \Circpipe (›) . . . . . . . . . . . 48 \Circsteel (•) . . . . . . . . . . 48 circumflex . . . . . . . . see accents \circumflexus (ã) . . . . . . . . 15 \CleaningA («) . . . . . . . . . . . 57 \CleaningF (¾) . . . . . . . . . . . 57 \CleaningFF (¿) . . . . . . . . . . 57 \CleaningP (¬) . . . . . . . . . . . 57 \CleaningPP () . . . . . . . . . . 57 \clickb (;) . . . . . . . . . . . . . 11 \clickc () . . . . . . . . . . . . . . 11 \clickt (R) . . . . . . . . . . . . . . 11 \clock () . . . . . . . . . . . . . . 56 clock symbols . . . . . . . . . . . . 58 \Clocklogo (U) . . . . . . . . . . . 55 \closedniomega (?) . . . . . . . 11 \closedrevepsilon () . . . . . 11 \Cloud ( ) . . . . . . . . . . . . . . 58 clovers . . . . . . . . . . . . . . 52, 53 clubs (suit) . . . . . . . . 42, 43, 55 \clubsuit (♣) . . . . . . . . . . . 42 cmll (package) . 19, 20, 23, 26, 81 code page 1252 . . . . . . . . . . . 78 table . . . . . . . . . . . . . . . 80 code page 437 . . . . . . . . . 47, 78 \Coffeecup (K) . . . . . . . . . . 55 \coh (¨) . . . . . . . . . . . . . . . . 26 \colon . . . . . . . . . . . . . . . . . 40 \colon ( : ) . . . . . . . . . . . . . . 40 \Colonapprox () . . . . . . . . 25 \Colonapprox (::≈) . . . . . . . . 25 \colonapprox (:≈) . . . . . . . . . 25 \colonapprox () . . . . . . . . . 25 \Coloneq (H) . . . . . . . . . . . . 25 d a 87 \Coloneq (::−) . . . . . . . . . . . . 25 \coloneq (:−) . . . . . . . . . . . . 25 \coloneq (D) . . . . . . . . . . . . 25 \Coloneqq (F) . . . . . . . . . . . 25 \Coloneqq (::=) . . . . . . . . . . . 25 \coloneqq (:=) . . . . . . . . . . . 25 \coloneqq (B) . . . . . . . . . . . 25 \Colonsim () . . . . . . . . . . . 25 \Colonsim (::∼) . . . . . . . . . . . 25 \colonsim (:∼) . . . . . . . . . . . 25 \colonsim () . . . . . . . . . . . 25 \comment (RR) . . . . . . . . . . . 59 communication symbols . . . . . 47 comp.text.tex (newsgroup) 67–71 \compensation (n) . . . . . . . . 59 \complement ({) . . . . . . . . . . 32 complex numbers . see alphabets, math Comprehensive TEX Archive Network . . . . 1, 6, 37, 63, 78, 80 computer hardware symbols . . 46 computer keys . . . . . . . . . . . . 47 Computer Modern (font) . 63, 65, 78 \ComputerMouse (Í) . . . . . . . . 46 \cong () . . . . . . . . . . . . . . . 24 conjunction . . . . . . . see \wedge \conjunction (V) . . . . . . . . . 46 contradiction symbols . . . . . . 29 control characters . . . . . . . . . 47 ` \coprod ( ) . . . . . . . . . . . . . 21 copyright . . . . . . . . . . 7, 17, 79 \copyright (©) . . . . . . . . . . . 7 \corner (k) . . . . . . . . . . . . . . 16 \Corresponds (=) . . . . . . . . . 43 \cos (cos) . . . . . . . . . . . . 30, 76 \cosh (cosh) . . . . . . . . . . . . . 30 \cot (cot) . . . . . . . . . . . . . . . 30 \coth (coth) . . . . . . . . . . . . . 30 \counterplay (V) . . . . . . . . . 59 Courier (font) . . . . . . . . . . . . 17 CP1252 . . . . see code page 1252 CP437 . . . . . see code page 437 \CR (␍) . . . . . . . . . . . . . . . . . 47 \cr . . . . . . . . . . . . . . . . . . . . 67 \Cross ( ) . . . . . . . . . . . . . . 53 \Cross († vs. * * vs. ) . . . . . . 64 \Cross ( ) . . . . . . . . . . . . . . 51 \Cross (†) . . . . . . . . . . . . . . 57 \crossb () . . . . . . . . . . . . . . 11 4) \CrossBoldOutline ( ) . . . . . 51 \CrossClowerTips ( \crossd () . . . . . . \Crossedbox (X) . . crosses . . . . . . . . . \crossh (#) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 . . . 11 . . . 55 51, 57 . . . 11 . \CrossMaltese ( ) . . . . . . . . 51 \crossnilambda (3) . . . . . . . 11 \CrossOpenShadow ( ) . . . . . . 51 \CrossOutline ( ) . . . . . . . . 51 crotchet . . . see musical symbols Ŕ \crtilde (ã) . . . . . . . . . . . . . 14 crucifixes . . . . . . . . . . . . . 51, 57 \Crux (†) . . . . . . . . . . . . . . . 36 \crux (†) . . . . . . . . . . . . . . . 36 \csc (csc) . . . . . . . . . . . . . . . 30 CTAN . see Comprehensive TEX Archive Network \Ctrl ( Ctrl ) . . . . . . . . . . . . 47 \Cube . . . . . . . . . . . . . . . 59, 66 cube root . . . . . . . . . see \sqrt \Cup (d) . . . . . . . . . . . . . . . . 19 \cup (∪) . . . . . . . . . . 19, 67, 75 \curlyc () . . . . . . . . . . . . . . 11 \curlyeqprec (2) . . . . . . . . . 24 \curlyeqsucc (3) . . . . . . . . . 24 \curlyesh (N) . . . . . . . . . . . . 11 \curlyvee (g) . . . . . . . . . . . 19 \curlyveedownarrow (.) . . . . 20 \curlyveeuparrow (/) . . . . . . 20 \curlywedge (f) . . . . . . . . . . 19 \curlywedgedownarrow (') . . 20 \curlywedgeuparrow (&) . . . . 20 \curlyyogh (a) . . . . . . . . . . . 11 \curlyz (^) . . . . . . . . . . . . . . 11 \currency (¤) . . . . . . . . . . . . 17 currency symbols . . . . 16, 17, 44 \curvearrowleft (x) . . . . . . 28 \curvearrowright (y) . . . . . 28 \Cutleft (s) . . . . . . . . . . . . 49 \Cutline (r) . . . . . . . . . . . . 49 \Cutright (q) . . . . . . . . . . . 49 , + D \D (a) . . . . . . . . . . . . . . . . . . 16 ¨ d (esvect package option) . . . . 38 \d (a.) . . . . . . . . . . . . . . . . . . 12 \dag (†) . . . . . . . . . . . . . . 7, 80 \dagger (†) . . . . . . . . . . . . . . 19 \daleth (k) . . . . . . . . . . . . . 32 dangerous bend symbols . . . . 54 \DArrow ( ↓ ) . . . . . . . . . . . 47 \dasharrowR see \dashrightarrow \dashint (− ) . . . . . . . . . . . . 69 \dashleftarrow (c) . . . . . . . 28 \dashleftrightarrow (e) . . . 29 \dashrightarrow (d) . . . . . . 28 \dashv (a) . . . . . . . . . . . . . . 24 \davidsstar (C) . . . . . . . . . . 52 \DavidStar ( ) . . . . . . . . . . 52 \DavidStarSolid ( ) . . . . . . 52 \dbar (¯ d) . . . . . . . . . . . . . . . . 66 \dbend () . . . . . . . . . . . . . 54 0 / dblaccnt (package) . . . . . . . . . 70 \dblcolon (::) . . . . . . . . . . . . 25 \DCa (␑) . . . . . . . . . . . . . . . . 47 \DCb (␒) . . . . . . . . . . . . . . . . 47 \DCc (␓) . . . . . . . . . . . . . . . . 47 \DCd (␔) . . . . . . . . . . . . . . . . 47 \ddag (‡) . . . . . . . . . . . . . 7, 80 \ddagger (‡)R . . . . . . . . . . . . . 19 \ddashint (= ) . . . . . . . . . . . . 69 .... \ddddot ( ) . . . . . . . . . . . . . 37 ... \dddot ( ) . . . . . . . . . . . . . . 37 \ddot (¨) . . . . . . . . . . . . . . . 36 . \ddots ( . . ) . . . . . . . . . . 40, 70 \DeclareFontFamily . . . . . . . 74 \DeclareFontShape . . . . . . . . 74 \DeclareMathOperator . . . . . 76 \DeclareMathOperator* . . . . 76 \declareslashed . . . . . . . . . 68 definition symbols . . . . . . . . . 71 \deg (deg) . . . . . . . . . . . . . . 30 \degree (°) . . . . . . . . . . . . . . 45 degrees . . . . . . see \textdegree \DEL (␡) . . . . . . . . . . . . . . . . 47 \Del ( Del ) . . . . . . . . . . . . . 47 \Deleatur . . . . . . see \Denarius delimiters . . . . . . . . . . . . 33–36 text-mode . . . . . . . . . . . 36 variable-sized . . . . . . 34–36 wavy-line . . . . . . . . . . . . 35 \Delta (∆) . . . . . . . . . . . . . . 31 \delta (δ) . . . . . . . . . . . . . . 31 \deltaup (δ) . . . . . . . . . . . . . 31 demisemiquaver . . . . see musical symbols \Denarius (¢) . . . . . . . . . . . 17 \dental (ag ) . . . . . . . . . . . . . . 14 derivitive, partial . . see \partial \descnode () . . . . . . . . . . . 46 \det (det) . . . . . . . . . . . . . . . 30 \devadvantage (t) . . . . . . . . 59 c) . . . . . . . . . 26 c .... \dfourier ( ) . . . . . . . . . 26 \Dfourier ( \DFT ( .... ) . . . . . . . . . . . . . . 39 \dft ( ) ... \DH (Ð) . . . . . . \DH (D) . . . . . . \dh (ð) . . . . . . \dh (k) . . . . . . diacritics . . . . . \diaeresis (ä) diæresis . . . . . \diagdown () \diagonal (G) \diagup () . . \diameter () \Diamond (^) . 88 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 . . . . 8, 79 . . . . . . 11 . . . . 8, 79 . . . . . . 11 see accents . . . . . . 15 see accents . . . . . . 42 . . . . . . 59 . . . . . . 42 . . . . . . 56 . . . . . . 42 \Diamond (3) . . . . . . . \diamond () . . . . . . . . \Diamondblack (_) . . . \Diamonddot () . . . . . \DiamonddotLeft () \Diamonddotleft () \DiamonddotRight () \Diamonddotright () \DiamondLeft () . . . \Diamondleft ( ) . . . \DiamondRight () . . \Diamondright () . . diamonds . . . . . . . . . . diamonds (suit) . . . . . \DiamondShadowA ( ) . \DiamondShadowB ( ) . \DiamondShadowC ( ) . \Diamondshape ( ) . . . 6 p ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... . . 53, 42, 43, ..... ..... ..... ..... 42 19 42 42 29 29 29 29 29 29 29 29 54 55 53 53 53 53 \DiamondSolid ( ) . . . . . . . . 54 \diamondsuit (♦) . . . . . . . . . 42 \diatop . . . . . . . . . . . . . 16, 70 \diaunder . . . . . . . . . . . . 16, 70 dice . . . . . . . . . . . . . . . . 59, 66 dictionary symbols . . . . 9–12, 62 dictsym (package) . . . 62, 81, 82 died . . . . . . . . . . see \textdied differential, inexact . . see \dbar \digamma (z) . . . . . . . . . . . . 31 digits . . . . . . . . . . . . . . . . . . 41 LCD . . . . . . . . . . . . . . . 45 old-style . . . . . . . . . . . . . 17 segmented . . . . . . . . . . . 45 \dim (dim) . . . . . . . . . . . . . . 30 \ding . . . . . . . . . . . . . 9, 49–55 dingautolist . . . . . . . . . . . . 52 dingbat (package) . 50, 55, 64, 81, 82 dingbat symbols . . . . . . . 49–55 \Diple (>) . . . . . . . . . . . . . . 60 \diple (>) . . . . . . . . . . . . . . 60 \Diple* (>·· ) . . . . . . . . . . . . . 60 \diple* (>·· ) . . . . . . . . . . . . . 60 Dirac notation . . . . . . . . . . . . 34 discount . . . see \textdiscount discretionary hyphen . . . . . . . 78 disjunction . . . . . . . . . see \vee \displaystyle . . . 68, 69, 71, 76 ditto marks . see \textquotedbl \div (÷) . . . . . . . . . . . . . . . . 19 \divideontimes (>) . . . . . . . 19 division . . . . . . . . . . . . . . 19, 37 non-commutative . . . . . . 40 division times see \divideontimes divorced . . . see \textdivorced \DJ (Ð) . . . . . . . . . . . . . . . . . . 8 \dj (đ) . . . . . . . . . . . . . . . . . . 8 \dlbari (() . . . . . . . . . . . . . . 11 \DLE (␐) . . . . . . . . . . . . . . . . 47 does not divide . . . . . see \nmid does not exist . . . . see \nexists dollar . . . . . . . see \textdollar dollar sign . . . . . . . . . . . . see \$ \Dontwash (Ý) . . . . . . . . . . . 57 \dot ( ˙ ) . . . . . . . . . . . . . . . . 36 dot symbols . . . . . 7, 40, 41, 70 · \dotcup (∪) . . . . . . . . . . . . . 67 \Doteq . . . . . . . . see \doteqdot \doteq () . . . . . . . . . . . . . . 24 \doteqdot (+) . . . . . . . . . . . 24 dotless i (ı) math mode . . . . . . . 36, 42 text mode . . . . . . . . . . . 12 dotless j () math mode . . . . . . . 36, 42 text mode . . . . . . . . . . . 12 \dotplus (u) . . . . . . . . . . . . 19 \dots (. . . ) . . . . . . . . . . . . 7, 80 dots (ellipses) . . . . . 7, 40–42, 70 \dotsb (· · · ) . . . . . . . . . . . . . 41 \dotsc (. . .) . . . . . . . . . . . . . 41 \dotsi (· · ·¯ ) . . . . . . . . . . . . . 41 \dotsint ( ) . . . . . . . . . . . 23 \dotsm (· · · ) . . . . . . . . . . . . . 41 \dotso (. . .) . . . . . . . . . . . . . 41 ˙ . . . . . . . . . . 75 dotted union (∪) .. . . . . . . . . . 14 \dottedtilde (ã) \double . . . . . . . . . . . . . 35, 36 \doublebarwedge ([) . . . . . . 19 \doublecap . . . . . . . . . see \Cap \doublecup . . . . . . . . . see \Cup \doublepawns (d) . . . . . . . . . 59 \doubletilde (˜ ã) . . . . . . . . . 14 \DOWNarrow (L) . . . . . . . . . . . 56 \Downarrow (⇓) . . . . . . . . 28, 34 \downarrow . . . . . . . . . . . . . . 75 \downarrow (↓) . . . . . . . . 28, 34 \downbracketfill . . . . . . . . . 71 \downdownarrows () . . . . . . 28 Downes, Michael J. . . . . . 30, 83 \downharpoonleft () . . . . . . 29 \downharpoonright () . . . . . 29 \downp (u) . . . . . . . . . . . . . . . 16 \downparenthfill . . . . . . 71, 72 \downt (m) . . . . . . . . . . . . . . . 16 \dsaeronautical (a) . . . . . . 62 \dsagricultural (G) . . . . . . 62 \dsarchitectural (A) . . . . . 62 \dsbiological (B) . . . . . . . . 62 \dschemical (C) . . . . . . . . . . 62 \dscommercial (c) . . . . . . . . 62 dsfont (package) . . . . . . . 44, 81 \dsheraldical (H) . . . . . . . . 62 \dsjuridical (J) . . . . . . . . . 62 \dsliterary (L) . . . . . . . . . . 62 \dsmathematical (M) . . . . . . . 62 \dsmedical (m) . . \dsmilitary (X) . \dsrailways (R) . \dstechnical (T) \dtimes (_) . . . . DVI . . . . . . . . . . \dz () . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. .. .. .. .. 47, ... 62 62 62 62 20 73 11 E e (esvect package option) . . . . 38 \e (e ) . . . . . . . . . . . . . . . . . . 33 ε-TEX . . . . . . . . . . . . . . . . . . 34 \Earth (Ê) . . . . . . . . . . . . . . 46 \earth (♁) . . . . . . . . . . . . . . 46 \Ecommerce () . . . . . . . . . . 17 \EightAsterisk ( ) . . . . . . . 52 \EightFlowerPetal ( ) . . . . 52 \EightFlowerPetalRemoved ( ) . . . . . . . . . 52 eighth note . see musical symbols \eighthnote (♪) . . . . . . . . . . 56 \eighthnote () . . . . . . . . . . 56 \EightStar ( ) . . . . . . . . . . 52 \EightStarBold ( ) . . . . . . . 52 \EightStarConvex ( ) . . . . . 52 \EightStarTaper ( ) . . . . . . 52 \ejective (e) . . . . . . . . . . . . 11 electrical symbols . . . . . . . . . 45 electromotive force see alphabets, math \ell (`) . . . . . . . . . . . . . . . . 32 \Ellipse ( ) . . . . . . . . . . . . 54 ellipses (dots) . . . . . 7, 40–42, 70 ellipses (ovals) . . . . . . . . . . . . 54 \EllipseShadow ( ) . . . . . . . 54 \EllipseSolid ( ) . . . . . . . . 54 \EM (␙) . . . . . . . . . . . . . . . . . 47 \Email (k) . . . . . . . . . . . . . . 47 \Emailct (z) . . . . . . . . . . . . 47 \emgma (M) . . . . . . . . . . . . . . 11 \emptyset (∅) . . . . . . . . . . . . 42 \End ( End ) . . . . . . . . . . . . . 47 end of proof . . . . . . . . . . . . . 42 \ending (L) . . . . . . . . . . . . . 59 \eng (8) . . . . . . . . . . . . . . . . 11 engineering symbols . . . . . 45, 48 \engma (n) . . . . . . . . . . . . . . 11 \ENQ (␅) . . . . . . . . . . . . . . . . 47 entails . . . . . . . . . . . see \models \Enter ( Enter ) . . . . . . . . . . 47 Z H S Y I F E b e c \Envelope ( ) . . \enya (N) . . . . . \EOT (␄) . . . . . . epsdice (package) \epsdice ( \epsi (") . . . . . 89 . . . . . . . . . . . . ) ... ....... ....... ....... . 59, 81, ...... ....... 55 11 47 82 59 11 \epsilon () . . . . . . . . . . . . . 31 \epsilonup () . . . . . . . . . . . 31 \eqcirc (P) . . . . . . . . . . . . . 24 \Eqcolon (I) . . . . . . . . . . . . 25 \Eqcolon (−::) . . . . . . . . . . . . 25 \eqcolon (−:) . . . . . . . . . . . . 25 \eqcolon (E) . . . . . . . . . . . . 25 \Eqqcolon (G) . . . . . . . . . . . 25 \Eqqcolon (=::) . . . . . . . . . . . 25 \eqqcolon (=:) . . . . . . . . . . . 25 \eqqcolon (C) . . . . . . . . . . . 25 \eqsim (h) . . . . . . . . . . . . . . 25 \eqslantgtr (1) . . . . . . . . . . 27 \eqslantless (0) . . . . . . . . . 27 \equal (j) . . . . . . . . . . . . . . 59 \equalsfill . . . . . . . . . . . . . 71 equidecomposable . . . . . . . . . 66 equilibrium . . . . . . . . . . . . . see \rightleftharpoons \equiv (≡) . . . . . . . . . . . . . . 24 equivalence . . . . see \equiv and \leftrightarrow \er () . . . . . . . . . . . . . . . . . 11 es-zet . . . . . . . . . . . . . . see \ss \ESC (␛) . . . . . . . . . . . . . . . . 47 \Esc ( Esc ) . . . . . . . . . . . . . 47 escapable characters . . . . . . . . 7 \esh (M) . . . . . . . . . . . . . . . . 11 \esh (s) . . . . . . . . . . . . . . . . 11 esint (package) . . . . . . . . . 23, 81 \Estatically (J) . . . . . . . . . 48 estimated . . see \textestimated esvect (package) . . . . . . . . 38, 81 \eta (η) . . . . . . . . . . . . . . . . 31 \etaup (η) . . . . . . . . . . . . . . 31 \ETB (␗) . . . . . . . . . . . . . . . . 47 \etc (P) . . . . . . . . . . . . . . . . 59 \eth (ð) . . . . . . . . . . . . . . . . 42 \eth () . . . . . . . . . . . . . . . . 11 \eth (d) . . . . . . . . . . . . . . . . 11 \ETX (␃) . . . . . . . . . . . . . . . . 47 eufrak (package) . . . . . . . . . . 44 Euler Roman . . . . . . . . . . . . . 32 \EUR (e ) . . . . . . . . . . . . . . . . 17 \EURcr (d) . . . . . . . . . . . . . . 17 \EURdig (D) . . . . . . . . . . . . . 17 \EURhv (c) . . . . . . . . . . . . . . 17 \euro . . . . . . . . . . . . . . . . . . 17 euro signs blackboard bold . . . . . . . 44 euro signs . . . . . . . . . . . . 16, 17 eurosym (package) . . . 17, 81, 82 \EURtm (e) . . . . . . . . . . . . . . 17 euscript (package) . . . 44, 81, 82 evaluated at . . . . . . . see \vert exclusive or . . . . . . . . . . . . . . 66 \exists (∃) . . . . . . . . . . . . . . 32 \exp (exp) . . . . . . . . . . . . . . 30 \Explosionsafe (`) . . . . . . . 48 extarrows (package) . . 40, 81, 82 extensible accents . . . 37, 38, 40, 71–72 extensible arrows . . . . . . . 37–40 extensible symbols, creating 70–72 extensible tildes . . . . . . . . 37, 38 extension characters . . . . 29, 30 extpfeil (package) . . . . 40, 81, 82 extraipa (package) . . . . . . 14, 81 \eye ( ) . . . . . . . . . . . . . . 55 \EyesDollar (¦) . . . . . . . . . . 17 E F f (esvect package option) . . . . 38 faces . . . . . . . . . . . . . 47, 56–58 \fallingdotseq (;) . . . . . . . 24 \FallingEdge ( ) . . . . . . . . . 45 \fatbslash ()) . . . . . . . . . . . 20 \fatsemi (#) . . . . . . . . . . . . . 20 \fatslash (() . . . . . . . . . . . . 20 \FAX (u) . . . . . . . . . . . . . . . 47 \fax (t) . . . . . . . . . . . . . . . . 47 \Faxmachine (v) . . . . . . . . . 47 fc (package) . . . . . . . . . . . 8, 12 fclfont (package) . . . . . . . . . . 81 feet . . . . . . . . . . see \prime and \textquotesingle \FEMALE () . . . . . . . . . . . . . 48 \Female (~) . . . . . . . . . . . . . 48 \female (♀) . . . . . . . . . . . . . . 48 \FemaleFemale („) . . . . . . . . 48 \FemaleMale (…) . . . . . . . . . . 48 fermions . . . . . . . . . . . . . . . . 48 feyn (package) . . . . . . 48, 81, 82 Feynman slashed character notation . . . . . . . . . . . . . . 68 Feynman-diagram symbols . . . 48 \feyn{a} (a) . . . . . . . . . . . . . . 48 \feyn{c} (c) . . . . . . . . . . . . 48 \feyn{fd} ( ) . . . . . . . . . . . . 48 \feyn{fl} (n) . . . . . . . . . 48 ! \feyn{fs} (e) \feyn{fu} () \feyn{fv} () . \feyn{f} (f) \feyn{glu} ()w . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 48 48 48 48 \feyn{gl} (o) . \feyn{gu} () \feyn{gvs} () \feyn{gv} () . \feyn{g} (g) \feyn{hd} () \feyn{hs} (i) \feyn{hu} () \feyn{h} (h) \feyn{ms} (l) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 48 48 48 48 48 48 48 48 48 \feyn{m} (m) . . . . . . . . . . . . 48 \feyn{p} (p) . . . . . . . . . . . . 48 \feyn{x} (x) . . . . . . . . . . . . . . 48 \FF (␌) . . . . . . . . . . . . . . . . . 47 fge (package) . . . . . . . . . . . . . 81 \FHBOLOGO (f) . . . . . . . . . . . . 57 \FHBOlogo (F) . . . . . . . . . . . . 57 \file (H) . . . . . . . . . . . . . . . 59 \FilledBigCircle ( ) . . . . . 53 \FilledBigDiamondshape ( ) 53 \FilledBigSquare ( ) . . . . . 53 \FilledBigTriangleDown ( ) 53 \FilledBigTriangleLeft ( ) 53 \FilledBigTriangleRight ( ) 53 \FilledBigTriangleUp ( ) . . 53 \FilledCircle ( ) . . . . . . . . 53 \FilledCloud ( ) . . . . . . . . . 58 \FilledDiamondShadowA ( ) . 53 \FilledDiamondShadowC ( ) . 53 \FilledDiamondshape ( ) . . . 53 \FilledHut ( ) . . . . . . . . . . . 58 \FilledRainCloud ( ) . . . . . 58 \FilledSectioningDiamond ( ) . . . . . . . . . 59 \FilledSmallCircle ( ) . . . 53 \FilledSmallDiamondshape ( ) . . . . . . . . . 53 \FilledSmallSquare ( ) . . . 53 \FilledSmallTriangleDown ( ) . . . . . . . . . 53 \FilledSmallTriangleLeft ( ) . . . . . . . . . 53 \FilledSmallTriangleRight ( ) . . . . . . . . . 53 \FilledSmallTriangleUp ( ) 53 \FilledSnowCloud ( ) . . . . . 58 \FilledSquare ( ) . . . . . . . . 53 \FilledSquareShadowA ( ) . . 53 \FilledSquareShadowC ( ) . . 53 U P Q e f V S R T ! u v p ` s r t q $ C \filledsquarewithdots ( ) \FilledSunCloud ( ) . . . . . \FilledTriangleDown ( ) . . \FilledTriangleLeft ( ) . . \FilledTriangleRight ( ) . \FilledTriangleUp ( ) . . . \FilledWeakRainCloud ( ) . \finpartvoice (a») . . . . . . . ˇ (a) . . . . \finpartvoiceless » > ˚ \fint ( ) . . . . . . . . . . . . . . ffl \fint ( ) . . . . . . . . . . . . . . \Finv (`) . . . . . . . . . . . . . . \Fire ( ) . . . . . . . . . . . . . . # 90 c b d a " . . . . . . . . . . . . . 55 58 53 53 53 53 58 14 14 22 23 32 59 fish hook . . . . . . . see \strictif fists . . . . . . . . . . . . . . . . . . . 50 \FiveFlowerOpen ( ) . . . . . . 52 \FiveFlowerPetal ( ) . . . . . 52 \FiveStar ( ) . . . . . . . . . . . 52 \FiveStarCenterOpen ( ) . . . 52 \FiveStarConvex ( ) . . . . . . 52 \FiveStarLines ( ) . . . . . . . 52 \FiveStarOpen ( ) . . . . . . . . 52 \FiveStarOpenCircled ( ) . . 52 \FiveStarOpenDotted ( ) . . . 52 \FiveStarOutline ( ) . . . . . 52 \FiveStarOutlineHeavy ( ) . 52 \FiveStarShadow ( ) . . . . . . 52 \Fixedbearing (%) . . . . . . . . 48 . \fixedddots ( . . ) . . . . . . . . . 40 . \fixedvdots (..) . . . . . . . . . . . 40 fixmath (package) . . . . . . . . . 76 \fj (F) . . . . . . . . . . . . . . . . . 11 \Flag ( ) . . . . . . . . . . . . . . . 58 \flap (f) . . . . . . . . . . . . . . . 11 \flapr (D) . . . . . . . . . . . . . . . 11 \flat ([) . . . . . . . . . . . . 42, 56 \Flatsteel (–) . . . . . . . . . . . 48 fletched arrows . . . . . . . . . . . 49 florin . . . . . . . see \textflorin flowers . . . . . . . . . . . . . . 52, 53 Flynn, Peter . . . . . . . . . . . . . 67 \Fog ( ) . . . . . . . . . . . . . . . 58 font encodings . . . . . . . 6, 77, 78 7-bit . . . . . . . . . . . . . . . . 6 8-bit . . . . . . . . . . . . . . . . 6 ASCII . . . . . . . . . . . . . . 80 document . . . . . . . . . . . . 78 Latin 1 . . . . . . . . . . . . . 80 limiting scope of . . . . . . . . 6 LY1 . . . . . . . . . . . . . . . . . 6 OT1 . . . 6, 8, 12, 70, 77, 78 T1 . . . . . . . . . . 6, 8, 12, 78 T4 . . . . . . . . . . . . 8, 12, 15 T5 . . . . . . . . . . . . . . . 8, 12 TS1 . . . . . . . . . . . . . . . . 78 fontdef.dtx (file) . . . . . . 66, 70 fontenc (package) . . . 6, 8, 12, 78 \fontencoding . . . . . . . . . . . . 6 fonts Calligra . . . . . . . . . . . . . 44 Charter . . . . . . . . . . 17, 23 Computer Modern 63, 65, 78 Courier . . . . . . . . . . . . . 17 Garamond . . . . . . . . 17, 23 Helvetica . . . . . . . . . . . . 17 Symbol . . . . . . . . . . . . . 32 Times Roman . . . . . 17, 65 8 R P ? 7 9 ; : < = > @ Type 1 . . . . . . . . Utopia . . . . . . . . . Zapf Chancery . . . Zapf Dingbats . . . \fontsize . . . . . . . . . . \Football (o) . . . . . . . \forall (∀) . . . . . . . . . \Force (l) . . . . . . . . . \Forward (·) . . . . . . . . \ForwardToEnd (¸) . . . \ForwardToIndex (¹) \FourAsterisk ( ) . . . \FourClowerOpen ( ) . \FourClowerSolid ( ) 1 \Fourier ( \fourier ( c V W . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... 17, ... 49, 63, ... ... ... ... ... ... ... ... ... 75 23 44 52 65 55 32 48 57 57 57 52 52 52 c) . . . . . . . . . . 26 ) . . . . . . . . . . 26 Fourier transform see alphabets, math \FourStar ( ) . . . . . . . . . . . 52 \FourStarOpen ( ) . . . . . . . . 52 fractions . . . . . . . . . . . . . . . . 43 fraktur . . . . see alphabets, math \frown (_) . . . . . . . . . . . . . . 24 \frownie (/) . . . . . . . . . . . . 56 \Frowny (§) . . . . . . . . . . . . . 57 \FS (␜) . . . . . . . . . . . . . . . . . 47 \FullFHBO () . . . . . . . . . . . 57 \fullmoon (#) . . . . . . . . . . . 46 \fullnote () . . . . . . . . . . . . 56 5 6 G \G (a ) . . . . . . . . . . . . . . . . . . 12 g (esvect package option) . . . . 38 \Game (a) . . . . . . . . . . . . . . . 32 \Gamma (Γ) . . . . . . . . . . . . . . 31 \gamma (γ) . . . . . . . . . . . . . . 31 \gammaup (γ) . . . . . . . . . . . . . 31 Garamond (font) . . . . . . . 17, 23 \gcd (gcd) . . . . . . . . . . . . . . 30 \ge . . . . . . . . . . . . . . . see \geq \Gemini (â) . . . . . . . . . . . . . 46 \gemini (^) . . . . . . . . . . . . . 46 genealogical symbols . . . . . . . 56 \geneuro (A C) . . . . . . . . . . . . 17 \geneuronarrow (B C) . . . . . . . 17 \geneurowide (C C) . . . . . . . . . 17 gensymb (package) . . . . . . . . . 45 \Gentsroom (x) . . . . . . . . . . . 55 geometric shapes . . . . . . . 53, 54 \geq (≥) . . . . . . . . . . . . . . . . 27 \geqq (=) . . . . . . . . . . . . . . . 27 \geqslant (>) . . . . . . . . . . . 27 german (keystroke package option) . . . . . . . . . 47 \gets . . . . . . . . see \leftarrow \gg () . . . . . . . . . . . . . . . . 27 \ggg (≫) . . . . . . . . . . . . . . . 27 . . . . . . . . . 50 . . . . . . . . . 50 ) . . . . . . 50 . . . . . . . . . 50 . . . . . . . . 50 \ggg (≫ vs. N/A) . . . . . . . . . 64 \gggtr . . . . . . . . . . . . see \ggg Gibbons, Jeremy . . . . . . . . . . 83 \gimel ( )ג. . . . . . . . . . . . . . 32 \glotstop (b) . . . . . . . . . . . . 11 \glottal (?) . . . . . . . . . . . . . 11 \gluon (QPPPPPPR) . . . . . . . . . . . 45 gluons . . . . . . . . . . . . . . . . . . 48 \gnapprox () . . . . . . . . . . . 27 \gneq () . . . . . . . . . . . . . . . 27 \gneqq () . . . . . . . . . . . . . . 27 \gnsim () . . . . . . . . . . . . . . 27 graphics (package) . . . . . . . . . 66 graphicx (package) . . . 16, 63, 66 \grave (`) . . . . . . . . . . . . . . 36 \gravis (à) . . . . . . . . . . . . . . 15 greater-than signs see inequalities Greek . . . . . . . . . . . . . . . 31, 32 blackboard bold . . . . . . . 44 bold . . . . . . . . . . . . 31, 76 upright . . . . . . . . . . 31, 32 Gregorio, Enrico . . . . . . . . . . 67 \GS (␝) . . . . . . . . . . . . . . . . . 47 \gtrapprox (') . . . . . . . . . . 27 \gtrdot (m) . . . . . . . . . . . . . 27 \gtreqless (R) . . . . . . . . . . 27 \HandLeft ( ) . . \HandLeftUp ( ) \HandPencilLeft ( \HandRight ( ) . \HandRightUp ( ) \Handwash (Ü) . . harmony (package) harpoons . . . . . . . hash mark . . . . . . \hat (ˆ) . . . . . . . \hausaB (B) . . . . \hausab (b) . . . . \hausaD (T) . . . . \hausad (D) . . . . \hausaK (K) . . . . \hausak (k) . . . . \HB (B) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... ... 28, see ... ... ... ... ... ... ... ... 57 81 29 \# 36 11 11 11 11 11 11 62 \Hb (b) . \HBar ( ) \hbar (~) \HC (C) . . . . . . . . . . . . . . . . . . . . . . . . . . ... ... 32, ... 62 53 66 62 \gtreqqless (T) . . . . . . . . . . 27 \Hd (d) . . . . . . . . . \Hdual (¸) . . . . . . . \HE (E) . . . . . . . . . \He (e) . . . . . . . . . \Heart (Œ) . . . . . . . hearts (suit) . . . . . . \heartsuit (♥) . . . . Hebrew . . . . . . . . . . Helvetica (font) . . . . \HERMAPHRODITE () \Hermaphrodite (}) \hexagon (7) . . . . . \Hexasteel (’) . . . . \hexstar (A) . . . . . \HF (F) . . . . . . . . . . \HF (F) . . . . . . . . \Hf (f) . . . . . . . . \hfil . . . . . . . . . . . \HG (G) . . . . . . . . . . \Hg (g) . . . . . . . . . \gtrless (≷) . . . . . \gtrsim (&) . . . . . . \guillemotleft («) . \guillemotright (») \guilsinglleft (‹) . \guilsinglright (›) \gvertneqq () . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 . . 27 8, 79 8, 79 8, 80 8, 80 . . 27 H \H (a̋) . . . . . . . . . . . . . . h (esvect package option) \h (ả) . . . . . . . . . . . . . . \HA (A) . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 38 12 62 \Ha (a) . . . . . . . . . . . . . . . . 62 háček . . . . . . . . . . . see accents \Hail ( ) . . . . . . . . . . . . . . . 58 half note . . . see musical symbols \HalfCircleLeft ( ) . . . . . . . 54 \HalfCircleRight ( ) . . . . . . 54 \HalfFilledHut ( ) . . . . . . . 58 \halflength (p) . . . . . . . . . . 16 \halfnote () . . . . . . . . . . . . 56 \HalfSun ( ) . . . . . . . . . . . . 58 Hamiltonian see alphabets, math \HandCuffLeft ( ) . . . . . . . . 50 \HandCuffLeftUp ( ) . . . . . . 50 \HandCuffRight ( ) . . . . . . . 50 \HandCuffRightUp ( ) . . . . . 50 s r 91 . . . . . . . . . . . . . . . . . . . . . . . . \Hc (c) . . . . . . . . . . . . . . . . . 62 \HCthousand (6) . . . . . . . . . 62 \HD (D) . . . . . . . . . . . . . . . . 62 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..... ..... ..... ..... ..... 42, 43, ..... . . 32, ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... 62 62 62 62 57 55 42 44 17 48 48 53 48 52 45 62 62 67 62 62 \HH (H) . . . . . . . . . . . . . . . . . 62 \Hh (h) . . . . . . . . . . . . . . . . 62 \Hhundred (3) . . . . . . . . . . . . 62 \HI (I) . . . . . . . . . . . . . . . . 62 \Hi (i) . . . . . . . . . . . . . . . . . 62 \Hibl (˝) . . . . . . . . . . . . . 62 \Hibp (ˆ) . . . . . . . . . . . . . . 62 \Hibs (¨) . . . . . . . . . . . . . . 62 \Hibw (˜) . . . . . . . . . . . . . . 62 hieroglf (package) . . . 62, 81, 82 hieroglyphics . . . . . . . . . . . . . 62 Hilbert space see alphabets, math \hill (a) . . . . . . . . . . . . . . . 15 { \HJ (J) . . . \Hj (j) . . \HK (K) . . . \Hk (k) √ .. \hksqrt ( \HL (L) . . \Hl (l) . . \HM (M) . . . . . . . . . . ) .. .. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 62 62 62 69 62 62 62 \Hm (m) . . . . . . . . . . . . . . . . 62 \Hman (ˇ) . . . . . . . . . . . . . . 62 \Hmillion (7) . . . . . . . . . . . 62 \Hms (´) \HN (N) \Hn (n) \HO (O) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 62 62 62 \Ho (o) . . . . . . . . . . . . . . . . 62 Holt, Alexander . . . . . . . . . 1, 80 \holter ( ) . . . . . . . . . . . . 40 holtpolt (package) . . . \hom (hom) . . . . . . . . \Home ( Home ) . . . . \Hone (|) . . . . . . . . . . \hookb () . . . . . . . . \hookd () . . . . . . . . \hookd (D) . . . . . . . . \hookg () . . . . . . . . \hookh ($) . . . . . . . . \hookheng (%) . . . . . . \hookleftarrow (←-) . \hookrevepsilon () . \hookrightarrow (,→) \HP (P) . . . . . . . . . \Hp (p) . . . . . . . . . . . \Hplural (˙) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40, .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 81 30 47 62 11 11 11 11 11 11 28 11 28 62 62 62 \Hplus (+) . . . . . . . . . . . . . . 62 \HQ (Q) . . . . . . . . . . . . . . . . 62 \Hq (q) . . . . . . . . . . . . . . . . . 62 \Hquery (?) \HR (R) . . \Hr (r) . \HS (S) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 62 62 62 \Hs (s) . . . . . . . . . . . . . . . . . 62 \Hscribe (¯) . . . . . . . . . . . . 62 \Hslash (/) \hslash (}) \Hsv (˚) . \HT (T) . . \HT (␉) . . . \Ht (t) . . \Hten (2) . .. . .. .. .. .. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 32 62 62 47 62 62 \Hthousand (4) . . . . . . . . . . . 62 \Htongue (˘) . . . . . . . . . . . 62 \HU (U) . . . . . . . . . . . . . . . . . 62 \Hu (u) . . . . . . . . . . . . . . . . . 62 Hungarian umlaut . . see accents \Hut ( ) . . . . . . . . . . . . . . . . 58 \HV (V) . . \Hv (v) . \hv (") . . \Hvbar (|) \HW (W) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 62 11 62 62 \Hw (w) . . . . . . . . . . . . . . . . 62 \HX (X) . . . . . . . . . . . . . . . . . 62 \Hx (x) . . . . . . . . . . . . . . . . . 62 \HXthousand (5) . . . . . . . . . . 62 \HY (Y) . . . . . . . . . . . . . . . . 62 \Hy (y) . . . . . . . . . hyphen, discretionary \HZ (Z) . . . . . . . . . \Hz (z) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 78 62 62 I \i (ı) . . . . . . . . . . . . . . . . . . 12 \ialign . . . . . . . . . . 67, 69, 71 \ibar (¯i ) . . . . . . . . . . . . . . . 11 IBM PC . . . . . . . . . . . . . 47, 78 \IceMountain ( ) . . . . . . . . . 58 . \iddots ( . . ) . . . . . . . . . . . . . 41 \iddots () R. . . R. . . . . . . . . . . 70 \idotsint (' ··· ) . . . . . . . . 21 \idotsint ( ) . . . . . . . . . 22 \iff . see \Longleftrightarrow ifsym (package) 45, 53, 58, 59, 64, 66, 81, 82 igo (package) RRRR. . . . . . . . . . . . . 81 \iiiint (% ) . . . . . . . . . . 21 \iiiint ( ) . . . . . . . . . . . . 22 ˇ \iiiint RRR ( ) . . . . . . . . . . . . 23 \iiint (# ) . . . . . . . . . . . . 21 \iiint ( ) . . . . . . . . . . 21, 22 ˝ \iiint RR ( ) . . . . . . . . . . . . . 23 \iint (! ) . . . . . . . . . . . . . . 21 \iint ( ) . . . . . . . . . . . . 21, 22 ˜ \iint ( ) . . . . . . . . . . . . . . . 23 \Im (=) . . . . . . . . . . . . . . . . . 32 \im (j) . . . . . . . . . . . . . . . . . 33 \imath (ı) . . . . . . . . . . . . 32, 36 \impliedby . see \Longleftarrow \implies . see \Longrightarrow and \vdash impulse train . . . . . . . . . see sha \in (∈) . . . . . . . . . . . . . . . . . 32 \in (∈) . . . . . . . . . . . . . . . . . 33 92 inches . . . . . . . . see \prime and \textquotedbl \incoh (˚) . . . . . . . . . . . . . . 26 independence probabilistic . . . . . . . . . . 69 statistical . . . . . . . . . . . . 69 stochastic . . . . . . see \bot \independent (⊥ ⊥) . . . . . . . . . 69 \Industry (I) . . . . . . . . . . . 55 inequalities . . . . . . . . . . . . 7, 27 inexact differential . . . see \dbar \inf (inf) . . . . . . . . . . . . . . . 30 infinity (∞) . . . . . . . see \infty \Info (i) . . . . . . . . . . . . . . . 55 information symbols . . . . . . . 55 informator symbols . . . . . . . . 59 \infty (∞) . . . . . . . . . . . . . . 42 \inipartvoice (a –ˇ) . . . . . . . . 14 \inipartvoiceless (a – ) . . . . . 14 ˚ \injlim (inj lim) . . . . . . . . . . 30 \inplus (A) . . . . . . . . . . . . . 24 \Ins ( Ins ) . . . . . . . . . . . . . 47 R \int ( ) . . . . . . . . . . . . . . . . 21 r \int ( ) . . . . . . . . . . . . . . . . 21 \intclockwise ( ) . . . . . . . . 23 integers . . . . see alphabets, math integrals . . . . . . . . 21–23, 68–69 integrals (wasysym package option) . . . . . . . . . 21 \intercal (|) . . . . . . . . . . . . 19 \interleave (9) . . . . . . . . . . 20 intersection . . . . . . . . . see \cap \Interval ( ) . . . . . . . . . . . 58 \inva ( ) . . . . . . . . . . . . . . . 11 \invamp (M) . . . . . . . . . . . . . 20 \invdiameter () . . . . . . . . . 56 \inve (U) . . . . . . . . . . . . . . . 11 \InversTransformHoriz ( ) 26 \InversTransformVert inverted symbols . . . . \invf (,) . . . . . . . . . . \invglotstop (d) . . . \invh (&) . . . . . . . . . \invlegr (I) . . . . . . . \invm (5) . . . . . . . . . \invneg () . . . . . . . \invr (G) . . . . . . . . . \invscr (K) . . . . . . . \invscripta () . . . . \invv () . . . . . . . . . \invw (Z) . . . . . . . . . \invy (\) . . . . . . . . . \iota (ι) . . . . . . . . . . \iotaup (ι) . . . . . . . . \ipagamma ( ) . . . . . . \IroningI (¯) . . . . . \IroningII (°) . . . . ( ) .. . 9–11, ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... 26 16 11 11 11 11 11 24 11 11 11 11 11 11 31 31 11 57 57 \IroningIII (±) . . \Irritant ( ) . . . . \ismodeledby (=|) . . ISO character entities isoent (package) . . . . J \j () . . . . . . . . \JackStar ( ) . \JackStarBold ( Jewish star . . . . \jmath () . . . . . \Joch ( ) . . . . . \Join (Z) . . . . . \joinrel . . . . . \Jupiter (Å) . . . \jupiter (X) . . 2 .... .... .... ... .... . . . . . . . . . . . . . . . 57 59 66 78 78 \largepencil ( .. .. ) .. .. .. .. .. .. .. 3 K \k ( ˛) . . . . . . . . . . \kappa (κ) . . . . . . \kappaup (κ) . . . . . \ker (ker) . . . . . . . ket . . . . . . . . . . . . \Keyboard (Ï) . . . keyboard symbols . keys, computer . . . keystroke (package) \keystroke ( ) . king . . . . . . . . see knight . . . . . . . see Knuth, Donald E. . symbols by . . . \kreuz (6) . . . . . . \kside (O) . . . . . . \Kutline (R) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. .. .. .. 32, ... ... ... ... ... 12 52 52 52 36 58 24 66 46 46 . . . . . . . . 12 . . . . . . . . 31 . . . . . . . . 31 . . . . . . . . 30 . . . . . . . . 34 . . . . . . . . 46 . . . . . . . . 47 . . . . . . . . 47 . . 47, 81, 82 . . . . . . . . 47 chess symbols chess symbols . . . 6, 77, 83 . . . . . 54, 57 . . . . . . . . 56 . . . . . . . . 59 . . . . . . . . 49 L \L (L) . . . . . . . . . . . . . . . . . . . 8 \l (l) . . . . . . . . . . . . . . . . . . . 8 \labdentalnas (4) . . . . . . . . 11 \labvel . . . . . . . . . . . . . . . . 15 \Ladiesroom (y) . . . . . . . . . . 55 Lagrangian . see alphabets, math \Lambda (Λ) . . . . . . . . . . . . . 31 \lambda (λ) . . . . . . . . . . . . . 31 \lambdabar (o) . . . . . . . . . . . 42 \lambdaslash (n) . . . . . . . . . 42 \lambdaup (λ) . . . . . . . . . . . . 31 Lamport, Leslie . . . . . . . . 80, 83 \land . . . . . . %. . . . . see \wedge \landdownint# ( ) . . . . . . . . . 23 \landupint ( ) . . . . . . . . . . . 23 \Langle (<) . . . . . . . . . . . . . 44 \lAngle (hh) . . . . . . . . . . . . . . 35 \langle (h) . . . . . . . . . . . . . . 34 \Laplace ( s \laplace ( c Laplace transform see alphabets, math Laplacian (∆) . . . . . see \Delta Laplacian (∇2 ) . . . . see \nabla c) . . . . . . . . . . 26 s) . . . . . . . . . . 26 W) . . . . . . . . 50 \LArrow ( ← ) . . . . . . . . . . . 47 \larrowfill . . . . . . . . . . . . . 39 \Laserbeam (a) . . . . . . . . . 48 LATEX . . . . . . . . . . . . . . . . 1, 6, 21, 30, 34, 40, 42, 49, 59, 63, 66–72, 75–78, 80, 81, 83 LATEX 2ε 1, 6, 7, 17–19, 24, 26, 28, 37, 40, 42, 63, 64, 66, 69, 70, 74–80, 83 latexsym (package) 19, 24, 26, 28, 42, 63, 81, 82 \latfric (/) . . . . . . . . . . . . . 11 Latin 1 . . . . . . . . . . . . 6, 78, 80 table . . . . . . . . . . . . . . . 79 laundry symbols . . . . . . . . . . 57 \Lbag (P) . . . . . . . . . . . . . . . 33 \lbag (N) . . . . . . . . . . . . . . . . 33 \Lbrack ([) . . . . . . . . . . . . . . 44 \lBrack ([[) . . . . . . . . . . . . . . 35 LCD digits . . . . . . . . . . . . . . 45 \lCeil (dd) . . . . . . . . . . . . . . . 35 \lceil (d) . . . . . . . . . . . . . . . 34 \lcm (lcm) . . . . . . . . . . . . . . 75 \ldotp (.) . . . . . . . . . . . . . . . 40 \ldots (. . .) . . . . . . . . . . . . . 40 \le . . . . . . . . . . . . . . . see \leq \leadsto ({) . . . . . . . . . 24, 28 leaf . . . . . . . . . . . see \textleaf \left . . . . . . . . . . 34, 35, 63, 65 \LEFTarrow () . . . . . . . . . . . 56 \Leftarrow (⇐) . . . . . . . . . . 28 \leftarrow (←) . . . . . . . . . . 28 \leftarrowtail () . . . . . . 28 \leftarrowtriangle (^) . . . 29 \LEFTCIRCLE (G) . . . . . . . . . . 56 \LEFTcircle (G #) . . . . . . . . . . 56 \Leftcircle Ñ(I) . . . . . . . . . . 56 Ñ \leftevaw ( ÑÑ) . . . . . . . . . . . 35 \leftharpoondown ()) . . . . . \leftharpoonup (() . . . . . . . \leftleftarrows (⇔) . . . . . . \leftmoon ($) . . . . . . . . . . . \leftp (v) . . . . . . . . . . . . . . . \leftpointright ( ) ..... \Leftrightarrow (⇔) . . . . . . \leftrightarrow (↔) . . . . . . \leftrightarroweq (-) . . . . . \leftrightarrows () . . . . . \leftrightarrowtriangle (]) \leftrightharpoons () . . . R 93 28 28 28 46 16 50 28 28 29 28 29 29 \leftrightharpoonsfill . . . \leftrightsquigarrow (!) \Leftscissors (S) . . . . . . . \leftslice (2) . . . . . . . . . . \leftsquigarrow (f) . . . . . \leftt (n) . . . . . . . . . . . . . . \leftthreetimes (h) . . . . . \leftthumbsdown ( ) .... \leftthumbsup ( ) ...... \Lefttorque (&) . . . . . . . . \leftturn (") Ð .......... Ð \leftwave ( ÐÐ) . . . . . . . . . . D U legal symbols . . . \legm (6) . . . . . \legr (E) . . . . . \length (q) . . . . \Leo (ä) . . . . . . \leo () . . . . . . \leq (≤) . . . . . . \leqq (5) . . . . . \leqslant (6) . less-than signs . . \lessapprox (/) \lessdot (l) . . \lesseqgtr (Q) . . . . . . . . . . . 39 28 49 20 29 16 19 50 50 48 56 . 35 . . . . . . . . . . . . . 7, 17, 79 . . . . . . . . . 11 . . . . . . . . . 11 . . . . . . . . . 16 . . . . . . . . . 46 . . . . . . . . . 46 . . . . . . . . . 27 . . . . . . . . . 27 . . . . . . . . . 27 see inequalities . . . . . . . . . . 27 . . . . . . . . . . 27 . . . . . . . . . . 27 \lesseqqgtr (S) . . . . . . . . . . 27 \lessgtr (≶) . . . \lesssim (.) . . . \Letter ( ) . . . . \Letter (B vs. ) \Letter (B) . . . . letter-like symbols letters . . . . . . . . . barred . . . . . non-ASCII . . slashed . . . . variant Ñ Latin Ñ \levaw ( ÑÑ) . . . . . .... .... .... ... .... .... . see .... .... .... .... \LF (␊) \lFloor \lfloor \lg (lg) . . . . ... (bb) (b) . .. . . . . . . . . . . . . . . . . . . . . . . . . . 27 . . . . . 27 . . . . . 59 . . . . . 64 . . . . . 47 . . 32, 33 alphabets . . . . . 66 ...... 8 . . . . . 68 . . . . . 32 . . . . . . . . . 35 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 35 34 30 \lgroup () . . . . . . . . . . . . . 34 \LHD () . . . . . . . . . . . . . . . . 20 \lhd (C) . . . . . . . . . . . . . 19, 20 \lhdbend (~) . . . . . . . . . . . 54 \Libra (æ) . . . . . . . . . . . . . . 46 \libra (a) . . . . . . . . . . . . . 46 Lie derivative see alphabets, math life-insurance symbols . . . . . . 71 \lightbulb (A) . . . . . . . . . . . 75 lightbulb.mf (file) . . . . . 72, 73 lightbulb.sty (file) . . . . . . . 75 lightbulb10.2602gf (file) . . . 73 lightbulb10.dvi (file) . . . . . 73 lightbulb10.mf (file) . . . 72–74 lightbulb10.tfm (file) . . . . . 74 \Lightning (E vs. ) . . . . . . 64 \Lightning ( ) . . . . . . . . . . 58 \Lightning (E) . . . . . . . . . . . 47 \lightning ( ) . . . . . . . . . . . 29 \lightning ( vs. ) . . . . . . . 64 \lightning () . . . . . . . . . . . 56 \lim (lim) . . . . . . . . . . . . 30, 76 \liminf (lim inf) . . . . . . . 30, 76 limits . . . . . . . . . . . . . . . . . . 30 \limsup (lim sup) . . . . . . 30, 76 linear implication see \multimap linear logic symbols . . 19, 23, 26 \Lineload (L) . . . . . . . . . . . 48 linguistic symbols . . . . . . . 9–12 \lJoin (X) . . . . . . . . . . . . . . 25 \ll () . . . . . . . . . . . . . . . . 27 \llap . . . . . . . . . . . . . . . . . . 69 \llbracket (~) . . . . . . . . . . . 35 \llceil (V) . . . . . . . . . . . . . . 33 \llcorner (x) . . . . . . . . . . . . 33 \Lleftarrow (W) . . . . . . . . . 28 \llfloor (T) . . . . . . . . . . . . . 33 \lll (≪) . . . . . . . . . . . . . . . 27 \lll (≪ vs. N/A) . . . . . . . . . 64 \llless . . . . . . . . . . . see \lll \llparenthesis (L) . . . . . . . . 33 \lmoustache () . . . . . . . . . 34 \ln (ln) . . . . . . . . . . . . . . . . 30 \lnapprox () . . . . . . . . . . . 27 \lneq () . . . . . . . . . . . . . . . 27 \lneqq () . . . . . . . . . . . . . . 27 \lnot . . . . . . . . . . . . . see \neg \lnsim () . . . . . . . . . . . . . . 27 local ring . . see alphabets, math \log (log) . . . . . . . . . . . . 30, 76 log-like symbols . . . . . . . . 30, 76 logical operators and . . . . . . . . . see \wedge not . . . . see \neg and \sim or . . . . . . . . . . . . see \vee \logof () . . . . . . . . . . . . . . 24 lollipop . . . . . . . . see \multimap long division . . . . . . . . . . . . . 37 longdiv (package) . . . . . . . . . . 37 \Longleftarrow (⇐=) . . . . . . 28 \longleftarrow (←−) . . . . . . 28 \Longleftrightarrow (⇐⇒) . 28 \longleftrightarrow (←→) . 28 \Longmapsfrom (⇐=\) . . . . . . . 29 \longmapsfrom (←−[) . . . . . . . 29 \Longmapsto (=⇒) . . . . . . . . 29 \longmapsto (7−→) . . . . . . . . 28 \LongPulseHigh ( ) . . . . . . 45 \LongPulseLow ( ) . . . . . . 45 & ' \Longrightarrow (=⇒) . . . . . 28 \longrightarrow (−→) . . . . . 28 \looparrowleft (") . . . . . . . 28 \looparrowright (#) . . . . . . 28 \Loosebearing ($) . . . . . . . . 48 \lor . . . . . . . . . . . . . . see \vee \LowerDiamond ( ) . . . . . . . . 53 lowering . . . see \textlowering \lozenge (♦) . . . . . . . . . . . . 42 \Lparen (() . . . . . . . . . . . . . . 44 \lrcorner (y) . . . . . . . . . . . . 33 \lrJoin . . . . . . . . . . see \Join \lrtimes (\) . . . . . . . . . . . . . 25 \Lsh () . . . . . . . . . . . . . . . . 28 \Lsteel (™) . . . . . . . . . . . . . 48 \ltimes (n) . . . . . . . . . . . . . 19 \ltriple . . . . . . . . . . . . . . . 36 Luecking, Dan . . . . . . . . . . . . 69 \lVert (k) . . . . . . . . . . . . . . 34 \lVert (||) . . . . . . . . . . . . . . . 35 \lvert (|) . . . . . . . . . . . . . . . 34 \lvertneqq Ð ( ) . . . . . . . . . . 27 Ð \lwave ( ÐÐ) . . . . . . . . . . . . . . 35 o \lz (1) . . . . . . . . . . . . . . . . . 11 M \M . . . . . . . . . . . . . . . . . . . . . . 8 \M (´) . . . . . . . . . . . . . . . . . . 60 \m .¯. . . . . . . . . . . . . . . . . . . . . 8 \m ( ) . . . . . . . . . . . . . . . . . . 60 \ma ¯(¯ ×) . . . . . . . . . . . . . . . . . 60 macron . . . . . . . . . . see accents \macron (ā) . . . . . . . . . . . . . . 15 majuscules . . . . . . . . . . . . . . 31 \makeatletter . . . . . . . . . . . 70 \makeatother . . . . . . . . . . . . 70 \MALE () . . . . . . . . . . . . . . . 48 \Male (|) . . . . . . . . . . . . . . . 48 \male (♂) . . . . . . . . . . . . . . . 48 \MaleMale (ƒ) . . . . . . . . . . . 48 \maltese (z) . . . . . . . . . . . . . 8 \manboldkidney () . . . . . . . . 57 \manconcentriccircles ($) . 57 \manconcentricdiamond (%) . 57 \mancone (#) . . . . . . . . . . . . 57 \mancube () . . . . . . . . . . . . 57 \manerrarrow (y) . . . . . . . . 57 \manfilledquartercircle (!) 57 manfnt (package) . . 54, 57, 81, 82 \manhpennib () . . . . . . . . . . 57 \manimpossiblecube () . . . . 57 \mankidney () . . . . . . . . . . . 57 \manlhpenkidney () . . . . . . . 57 \manpenkidney () . . . . . . . . 57 \manquadrifolium (&) . . . . . 57 \manquartercircle ( ) . . . . . 57 \manrotatedquadrifolium (') 57 94 \manrotatedquartercircle (") 57 \manstar () . . . . . . . . . . . . 57 \mantiltpennib () . . . . . . . 57 \mantriangledown (7) . . . . . . 57 \mantriangleright (x) . . . . . 57 \mantriangleup (6) . . . . . . . 57 \manvpennib () . . . . . . . . . . . 57 \Mappedfromchar () . . . . . . . . 30 \mappedfromchar () . . . . . . . . 30 \Mapsfrom (⇐\) . . . . . . . . . . . 29 \mapsfrom (←[) . . . . . . . . . . . 29 \Mapsfromchar (\) . . . . . . . . . 30 \mapsfromchar ([) . . . . . . . . . 30 \Mapsto (⇒) . . . . . . . . . . . . . 29 \mapsto (7→) . . . . . . . . . . . . . 28 \Mapstochar () . . . . . . . . . . . 30 \markera (x) . . . . . . . . . . . . 59 \markerb (y) . . . . . . . . . . . . 59 married . . . . . see \textmarried \Mars (Ä) . . . . . . . . . . . . . . . 46 \mars (♂) . . . . . . . . . . . . . . . 46 \MartinVogel (ÿ) . . . . . . . . . 57 marvosym (package) . . 17, 41, 43, 46–49, 55, 57, 64 matbbol (package) . . . . . . . . . 44 \mate (m) . . . . . . . . . . . . . . . 59 material biconditional . . . . . . . . . see \leftrightarrow and \equiv material conditional . . . . . . . see \rightarrow and \supset material equivalence . . . . . . . . . . see \leftrightarrow and \equiv material implication . . . . . . . see \rightarrow and \supset math alphabets . . . . . . . . . . . 44 math-text . . . . . . . . . . . . . . . 19 mathabx (package) 24, 26, 34, 37, 64, 81 \mathaccent . . . . . . . . . . . . . 67 \mathbb . . . . . . . . . . . . . . . . 44 \mathbbm . . . . . . . . . . . . . . . 44 \mathbbmss . . . . . . . . . . . . . . 44 \mathbbmtt . . . . . . . . . . . . . . 44 mathbbol (package) . . . . . . . . 44 \mathbf . . . . . . . . . . . . . . . . 76 \mathbin . . . . . . . . . . . . . . . 75 \mathbold . . . . . . . . . . . . . . . 76 mathcal (euscript package option) . . . . . . . . . 44 \mathcal . . . . . . . . . . . . . . . 44 \mathcent (¢) . . . . . . . . . . . . 33 \mathchoice . . . . . . . . . . 68, 69 \mathclose . . . . . . . . . . . . . . 75 mathcomp (package) . . . . . . . 41 mathdesign (package) . 17, 20, 23, 33, 35, 43, 81 \mathdollar ($) . . . . . . . . . . 19 mathdots (package) 37, 40, 41, 70, 81, 82 \mathds . . . . . . . . . . . . . . . . 44 \mathellipsis (. . .) . . . . . . . 19 mathematical symbols . . . 19–44 \mathfrak . . . . . . . . . . . . . . . 44 \mathit . . . . . . . . . . . . . . . . 44 \mathnormal . . . . . . . . . . . . . 44 \mathop . . . . . . . . . . . . . . . . 75 \mathopen . . . . . . . . . . . . . . . 75 \mathord . . . . . . . . . . . . . . . 75 \mathpalette . . . . . . . . . . . . 69 \mathparagraph (¶) . . . . . . . 19 \mathpunct . . . . . . . . . . . . . . 75 \mathpzc . . . . . . . . . . . . . . . 44 \mathrel . . . . . . . . . . . . 66, 75 \mathring (˚) . . . . . . . . . 36, 37 \mathrm . . . . . . . . . . . . . . . . 44 mathrsfs (package) . . . . . . 44, 81 mathscr (euscript package option) . . . . . . . . . 44 \mathscr . . . . . . . . . . . . . . . 44 \mathsection (§) . . . . . . . . . 19 \mathsterling (£) . . . . . . 19, 33 mathtools (package) 25, 38, 39, 81, 82 \mathunderscore ( ) . . . . . . . 19 \max (max) . . . . . . . . . . . . . . 30 Maxwell-Stefan diffusion coefficient . . . . . . . . . . . . . see \DH \Mb (¯ ´˘) . . . . . . . . . . . . . . . . . 60 \mb (¯) . . . . . . . . . . . . . . . . . 60 ˘ ) . . . . . . . . . . . . . . . 60 \Mbb (¯´ ˘˘¯) . . . . . . . . . . . . . . . 60 \mBb (¯ ´˘¯ ˘ \mbB (¯¯ ˘˘´) . . . . . . . . . . . . . . . 60 \mbb (¯¯) . . . . . . . . . . . . . . . 60 ˘˘ mbboard (package) . . . . . . 44, 81 \mbbx (¯¯ ) . . . . . . . . . . . . . . 60 ˘˘˘ \mbox .¯.¯. . . . . . . . . . . . . . . . 69 \measuredangle (]) . . . . . . . 42 mechanical scaling . . . . . . 72, 74 \medbullet () . . . . . . . . . . . 20 \medcirc () . . . . . . . . . . . . . 20 \Mercury (Â) . . . . . . . . . . . . . 46 \mercury (') . . . . . . . . . . . . . 46 \merge (!) . . . . . . . . . . . . . . 20 METAFONT . . . . . . . . 72, 73, 75 METAFONTbook symbols . . . . 57 metre (package) 15, 36, 60, 81, 82 metre . . . . . . . . . . . . . . . . . . 60 metrical symbols . . . . . . . . . . 60 \mho (f) . . . . . . . . . . . . . . . . 42 micro . . . . . . . . . . . see \textmu \micro (µ) . . . . . . . . . . . . . . 45 Microsoft® Windows® . . . . . 78 \mid (|) . . . . . . . . . . . . . . . . . 24 \middle . . . . . . . . . . . . . . . . 34 \midtilde ({) . . . . . . . . . . . . 16 millesimal sign . . . . . . . . . . see \textperthousand \min (min) . . . . . . . . . . . 30, 76 minim . . . . . see musical symbols minus . . . . . . . . see \textminus \minuso ( ) . . . . . . . . . . 20, 67 minutes, angular . . . see \prime miscellaneous symbols . . . 42, 43, 55–62 “Missing $ inserted” . . . . . 19 \Mmappedfromchar () . . . . . . . 30 \mmappedfromchar () . . . . . . . 30 \Mmapstochar () . . . . . . . . . . 30 \mmapstochar () . . . . . . . . . . 30 MnSymbol (package) . . . . 37, 81 \Mobilefone (H) . . . . . . . . . . 47 \mod . . . . . . . . . . . . . . . . . . . 30 \models (|=) . . . . . . . . . . 24, 66 moduli space see alphabets, math monetary symbols . . . 16, 17, 44 \moo () . . . . . . . . . . . . . . . . 20 \Moon (Á) . . . . . . . . . . . . . . . 46 \morepawns (S) . . . . . . . . . . . 59 \moreroom (U) . . . . . . . . . . . 59 \Mountain ( ) . . . . . . . . . . . 58 mouse . . . . . see \ComputerMouse \MoveDown (») . . . . . . . . . . . . 57 \moverlay . . . . . . . . . . . . . . . 70 \MoveUp (º) . . . . . . . . . . . . . 57 \mp (∓) . . . . . . . . . . . . . . . . . 19 msym10.tfm (package) . . . . . . 81 \mu (µ) . . . . . . . . . . . . . . . . . 31 \multimap (() . . . . . . . . 24, 25 \multimapboth () . . . . . . . 25 \multimapbothvert () . . . . . 25 \multimapdot () . . . . . . . . . 25 \multimapdotboth () . . . . . 25 \multimapdotbothA () . . . . 25 \multimapdotbothAvert () . . 25 \multimapdotbothB () . . . . 25 \multimapdotbothBvert () . . 25 \multimapdotbothvert () . . . 25 \multimapdotinv () . . . . . . 25 \multimapinv () . . . . . . . . . 25 multiple accents per character 70 \Mundus (m) . . . . . . . . . . . . . 57 musical symbols . . . . 18, 42, 56 \muup (µ) . . . . . . . . . . . . . . . 31 \MVAt (@) . . . . . . . . . . . . . . . 57 \MVEight (8) . . . . . . . . . . . . . 41 \MVFive (5) . . . . . . . . . . . . . 41 \MVFour (4) . . . . . . . . . . . . . 41 \MVNine (9) . . . . . . . . . . . . . 41 \MVOne (1) . . . . . . . . . . . . . . 41 \MVRightarrow (:) . . . . . . . . 57 \MVSeven (7) . . . . . . . . . . . . . 41 \MVSix (6) . . . . . . . . . . . . . . 41 95 \MVThree (3) . . . . . . . . . . . . . 41 \MVTwo (2) . . . . . . . . . . . . . . 41 \MVZero (0) . . . . . . . . . . . . . 41 N \nabla (∇) . . . . . . . . . . . . . . 42 \NAK (␕) . . . . . . . . . . . . . . . . 47 \napproxeq (6) . . . . . . . . . . . 25 \nasymp (-) . . . . . . . . . . . . . 25 nath (package) . . . . 33, 35, 36, 81 \natural (\) . . . . . . . . . . 42, 56 natural numbers . see alphabets, math navigation symbols . . . . . . . . 57 \nbacksim (*) . . . . . . . . . . . . 25 \nbacksimeq (+) . . . . . . . . . . 25 \NBSP ( ) . . . . . . . . . . . . . . . 47 \nBumpeq ()) . . . . . . . . . . . . . 25 \nbumpeq (() . . . . . . . . . . . . . 25 \ncong () . . . . . . . . . . . . . . 24 \ne . . . . . . . . . . . . . . . see \neq \Nearrow (t) . . . . . . . . . . . . 29 \nearrow (%) . . . . . . 28, 69, 70 \neg (¬) . . . . . . . . . . . . . . . . 42 negation . . . . see \neg and \sim \Neptune (È) . . . . . . . . . . . . 46 \neptune ([) . . . . . . . . . . . . . 46 \neq (,) . . . . . . . . . . . . . . . . 27 \nequiv (.) . . . . . . . . . . . . . 25 \neswarrow (% .) . . . . . . . 69, 70 \Neutral ({) . . . . . . . . . . . . 48 \newextarrow . . . . . . . . . . . . 40 \newmoon ( ) . . . . . . . . . . . . 46 \newtie ( a) . . . . . . . . . . . . . . 12 \nexists (@) . . . . . . . . . . . . . 32 \NG (Ŋ) . . . . . . . . . . . . . . . . . . 8 \ng (ŋ) . . . . . . . . . . . . . . . . . . 8 \ngeq () . . . . . . . . . . . . . . . 27 \ngeqq () . . . . . . . . . . . . . . 27 \ngeqslant () . . . . . . . . . . 27 \ngg (4) . . . . . . . . . . . . . . . 27 \ngtr (≯) . . . . . . . . . . . . . . . 27 \ngtrapprox (#) . . . . . . . . . . 27 \ngtrless (&) . . . . . . . . . . . . 27 \ngtrsim (!) . . . . . . . . . . . . . 27 \ni (3) . . . . . . . . . . . . . . 32, 67 \nialpha () . . . . . . . . . . . . . 11 \nibeta () . . . . . . . . . . . . . . 11 \NibLeft ( ) . . . . . . . . . . . . 50 \NibRight ( ) . . . . . . . . . . . 50 nibs . . . . . . . . . . . . . . . . . . . 50 \NibSolidLeft ( ) . . . . . . . . 50 \NibSolidRight ( ) . . . . . . . 50 nicefrac (package) . . . 43, 81, 82 \nichi ([) . . . . . . . . . . . . . . 11 \niepsilon () . . . . . . . . . . . 11 \nigamma () . . . . . . . . . . . . . 11 \niiota ()) . . . . . . . . . . . . . . 11 \nilambda (2) . . . . . . . . . . . . 11 \niomega (>) . . . . . . . . . . . . . 11 \niphi (C) . . . . . . . . . . . . . . 11 \niplus (B) . . . . . . . . . . . . . 24 \nisigma (O) . . . . . . . . . . . . . 11 \nitheta (S) . . . . . . . . . . . . . 11 \niupsilon (V) . . . . . . . . . . . 11 \niv ( ) . . . . . . . . . . . . . . . . 33 \nj (7) . . . . . . . . . . . . . . . . . 11 \nLeftarrow (:) . . . . . . . . . 29 \nleftarrow (8) . . . . . . . . . 29 \nLeftrightarrow (<) . . . . . 29 \nleftrightarrow (=) . . . . . 29 \nleq () . . . . . . . . . . . . . . . 27 \nleqq () . . . . . . . . . . . . . . 27 \nleqslant ( ) . . . . . . . . . . 27 \nless (≮) . . . . . . . . . . . . . . 27 \nlessapprox (") . . . . . . . . . 27 \nlessgtr (') . . . . . . . . . . . . 27 \nlesssim ( ) . . . . . . . . . . . . 27 \nll (3) . . . . . . . . . . . . . . . 27 \nmid (-) . . . . . . . . . . . . . . . . 24 \nnearrow (1) . . . . . . . . . . . . 29 \nnwarrow (0) . . . . . . . . . . . . 29 \NoBleech (Ì) . . . . . . . . . . . 57 \NoChemicalCleaning (¨) . . . 57 nointegrals (wasysym package option) . . . . . . . . . . . . . 21 \NoIroning (²) . . . . . . . . . . 57 non-commutative division . . . 40 nonbreaking space . . . . . . . . . 47 norm . . see \lVert and \rVert \NoSun ( ) . . . . . . . . . . . . . . 58 not . . . . . . . . . . . . . . . see \neg \not . . . . . . . . . . . . . . . . . . . 68 \notbackslash (−) \ . . . . . . . . 46 \notin (<) . . . . . . . . . . . . . . 33 \notin (6∈) . . . . . . . . . . . . . . 33 \notni (=) . . . . . . . . . . . . . . 33 \notowns . . . . . . . . see \notni \notslash (−) / . . . . . . . . . . . 46 \notsmallin () . . . . . . . . . . 33 \notsmallowns () . . . . . . . . . 33 \NoTumbler () . . . . . . . . . . . 57 \novelty (N) . . . . . . . . . . . . 59 \nparallel (∦) . . . . . . . . . . . 24 \nplus (`) . . . . . . . . . . . . . . 20 \nprec (⊀) . . . . . . . . . . . . . . 24 \nprecapprox (7) . . . . . . . . . 25 \npreccurlyeq ($) . . . . . . . . 25 \npreceq () . . . . . . . . . . . . 24 \npreceqq (9) . . . . . . . . . . . . 25 \nprecsim () . . . . . . . . . . . . 25 \nRightarrow (;) . . . . . . . . 29 \nrightarrow (9) . . . . . . . . 29 \nshortmid (.) . . . . . . . . . . . 24 \nshortparallel (/) . . . . . . . 24 \nsim (/) . . . . . . . . . . . . . . . 24 \nsimeq (;) . . . . . . . . . . . . . 25 \nsqsubset (a) . . . . . . . . . . . 27 \nsqsubseteq (@) . . . . . . . . . 27 \nsqsupset (b) . . . . . . . . . . . 27 \nsqsupseteq (A) . . . . . . . . . 27 \nSubset (>) . . . . . . . . . . . . . 27 \nsubseteq (*) . . . . . . . . . . 26 \nsubseteqq (") . . . . . . . . . . 27 \nsucc () . . . . . . . . . . . . . . 24 \nsuccapprox (8) . . . . . . . . . 25 \nsucccurlyeq (%) . . . . . . . . 25 \nsucceq () . . . . . . . . . . . . 24 \nsucceqq (:) . . . . . . . . . . . . 25 \nsuccsim () . . . . . . . . . . . . 25 \nSupset (?) . . . . . . . . . . . . . 27 \nsupseteq (+) . . . . . . . . . . 26 \nsupseteqq (#) . . . . . . . . . . 26 ntheorem (package) . . . . . . . . 42 \nthickapprox (5) . . . . . . . . 25 \ntriangleleft (6) . . . . . . . 27 \ntrianglelefteq (5) . . . . . 27 \ntrianglelefteqslant (R) . 28 \ntriangleright (7) . . . . . . 27 \ntrianglerighteq (4) . . . . 27 \ntrianglerighteqslant (S) 28 \ntwoheadleftarrow (h) . . . . 25 \ntwoheadrightarrow (g) . . . 25 \nu (ν) . . . . . . . . . . . . . . . . . 31 \NUL (␀) . . . . . . . . . . . . . . . . 47 null set . . . . . . . . . . . . . . . . . 42 number . . . . . . see \textnumero number sets see alphabets, math numbers . . . . . . . . . . . see digits circled . . . . . . . . . . . . . . 52 \NumLock ( Num ) . . . . . . . . . 47 \nuup (ν) . . . . . . . . . . . . . . . 31 \nvarparallel () . . . . . . . . 25 \nvarparallelinv () . . . . . . 25 \nVDash (3) . . . . . . . . . . . . . 24 \nVdash (1) . . . . . . . . . . . . . 25 \nvDash (2) . . . . . . . . . . . . . 24 \nvdash (0) . . . . . . . . . . . . . 24 \Nwarrow (v) . . . . . . . . . . . . 29 \nwarrow (-) . . . . . . . . . 28, 69 \nwsearrow (&) . . . . . . . . . . 69 O \O (Ø) . . . . . \o (ø) . . . . . . o (o) . . . . . . . \obar (:) . . . \Obelus ( ) \obelus ( ) \Obelus* ( ·· ) \obelus* ( ·· ) \oblong (@) . \obslash (;) . . . . . . . . . . 96 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 . 8 31 20 60 60 60 60 20 20 \oc () . . . . . . . . . . . . . . . . . . 19 \ocircle (#) . . . . . . . . . . . . 20 \octagon (8) . . . . . . . . . . . . 53 \Octosteel (‘) . . . . . . . . . . . 48 \od (a) . . . . . . . . . . . . . . . . . 15 \odot˚() . . . . . . . . . . . . . . . 19 \odplus ( ) . . . . . . . . . . . . . 21 \OE (Œ) . . . . . . . . . . . . . . 8, 80 \oe (œ) . . . . . . . . . . . . . . . 8, 80 \officialeuro (e) . . . . . . . . 17 \offinterlineskip . . . . . . . . 67 ogonek . . . . . . . . . . see accents \ogreaterthan (=) . . . . . . . . 20 { \ohill (a) . . . . . . . . . . . . . . 15 ohm . . . . . . . . . . . see \textohm \ohm (Ω) . . . . . . . . . . . . . . . . 45 \OHORN (Ơ) . . . . . . . . . . . . . . . 8 \ohorn (ơ)) . . . . . . . . . . . . . . . 8 \oiiint ( ) . . . . . . . . . . . . 22 \oiiint ( ) . . . . . . . . . . . . 23 L \oiiintclockwise ( ) . . . . . 22 D \oiiintctrclockwise ( ) . . 22 \oiint ( ) . . . . . . . . . . . 21, 22 ‚ \oiint ( ) . . . . . . . . . . . . . . 23 \oiint ( ) . . . . . . . . . . . . . . 23 H \oiintclockwise ( ) . . . . . . 22 @ \oiintctrclockwise ( ) . . . 22 H \oint ( ) . . . . . . . . . . . . . . . 21 \ointclockwise ( ) . . . . . . . 22 ı \ointclockwise ( ) . . . . . . . . 23 \ointclockwise ( ) . . . . . . . . 23 \ointctrclockwise ( ) . . . . . 22 \ointctrclockwise ( ) . . . . . 23 \ointctrclockwise ( ) . . . . . 23 old-style digits . . . . . . . . . . . . 17 \oldstylenums . . . . . . . . . . . 17 \olessthan (<) . . . . . . . . . . . 20 \Omega (Ω) . . . . . . . . . . . . . . 31 \omega (ω) . . . . . . . . . . . . . . 31 \omegaup (ω) . . . . . . . . . . . . 31 \ominus () . . . . . . . . . . . . . 19 \onlymove (F) . . . . . . . . . . . 59 \oo (◦◦) . . . . . . . . . . . . . . . . 60 \oo (@) . . . . . . . . . . . . . . . . 11 \ooalign . . . . . . . . . . . . . . . 67 \open (z) . . . . . . . . . . . . . . . 16 open unit disk . . . see alphabets, math \openJoin ([) . . . . . . . . . . . . 25 \openo (=) . . . . . . . . . . . . . . . 11 \openo (c) . . . . . . . . . . . . . . 11 \openo (l) . . . . . . . . . . . . . . 11 \opentimes (]) . . . . . . . . . . . 25 operators binary . . . . . . . . . . . 19–21 logical . see logical operators set . . . . . . see set operators unary . . . . . . . . . . . . . . 19 \oplus (⊕) . . . . . . . . . . . 19, 66 \opposbishops (o) . . . . . . . . 59 \opposition (W) . . . . . . . . . 46 optical scaling . . . . . . . . . . . . 72 options . . . . see package options or . . . . . . . . . . . . . . . . see \vee \OrnamentDiamondSolid ( ) . 55 orthogonal to . . . . . . . see \bot \oslash () . . . . . . . . . . . . . 19 \otimes (⊗) . . . . . . . . . . . . . 19 ovals . . . . . . . . . . . . . . . . . . . 54 \ovee (>) . . . . . . . . . . . . . . . 20 _ ) . . . . . . . . . . . . . 15 \overarc (a q \overbrace ( z}|{ ) . . . . . . . . . 38 z}|{ \overbrace ( ) . . . . . . . . . 37 \overbracket ( ) . . . . . . . . . 38 \overbracket ”( ) . . . . . . \overbridge (a) . . . . . . . −) . . . . \overleftarrow (← →) \overleftrightarrow (← \overline ( ) . . . . . . . . . z{ \overparenthesis ( ) overrightarrow (package) →) . \overrightarrow (− \overring (x) . . . . . . \overset . . . . . . . . . . \owedge (?) . . . . . . . . \owns . . . . . . . . . . . . . \owns (3) . . . . . . . . . . . . . . . . . . 71, ... ... .. ... 72 14 37 38 37 . . . . . . 71, 72 . . . 81 . . . 37 . . . 16 . . . 66 . . . 20 see \ni . . . . 33 P \P (¶) . . . . . . . . . . . . . . . . 7, \p ( ) . . . . . . . . . . . . . . . . . . \p@ ˙ . . . . . . . . . . . . . . . . . . . . package options a (esvect) . . . . . . . . . . . . b (esvect) . . . . . . . . . . . . bbgreekl (mathbbol) . . . . c (esvect) . . . . . . . . . . . . d (esvect) . . . . . . . . . . . . e (esvect) . . . . . . . . . . . . f (esvect) . . . . . . . . . . . . g (esvect) . . . . . . . . . . . . german (keystroke) . . . . . h (esvect) . . . . . . . . . . . . integrals (wasysym) . . . . . mathcal (euscript) . . . . . . mathscr (euscript) . . . . . . nointegrals (wasysym) . . . sans (dsfont) . . . . . . . . . . varg (txfonts/pxfonts) . . . packages longdiv . . . . . . . . . . . . . . accents . . . . . . 37, 70, 81, amsbsy . . . . . . . . . . . . . . 79 60 70 38 38 44 38 38 38 38 38 47 38 21 44 44 21 44 32 37 82 76 amsfonts 19, 24, 26, 28, 42, 44 amsmath . . 6, 30, 37, 66, 75 amssymb 6, 19, 24, 26, 28, 37, 42, 44, 81, 82 amstext . . . . . . . . . . 68, 69 ar . . . . . . . . . . . . . . 45, 81 arcs . . . . . . . . . . 15, 81, 82 arev . . . . . . . . 43, 56, 81, 82 ascii . . . . . . . . 47, 78, 81, 82 bbding 49–52, 54, 55, 64, 81, 82 bbm . . . . . . . . . . . . . 44, 81 bbold . . . . . . . . . . . . 44, 81 bm . . . . . . . . . . 76, 81, 82 braket . . . . . . . . . . . . . . 34 calligra . . . . . . . . 44, 81, 82 calrsfs . . . . . . . . . . . . . . 44 cancel . . . . . . . . . . . . . . 37 cclicenses . . . . . . . . . . . . 81 centernot . . . . . . . . . . . . 68 chancery . . . . . . . . . . . . . 81 chemarr . . . . . . . 39, 81, 82 chemarrow . . . . . 29, 39, 81 cmll . . . . . 19, 20, 23, 26, 81 dblaccnt . . . . . . . . . . . . . 70 dictsym . . . . . . . 62, 81, 82 dingbat . . 50, 55, 64, 81, 82 dsfont . . . . . . . . . . . 44, 81 epsdice . . . . . . . . 59, 81, 82 esint . . . . . . . . . . . . 23, 81 esvect . . . . . . . . . . . 38, 81 eufrak . . . . . . . . . . . . . . 44 eurosym . . . . . . . 17, 81, 82 euscript . . . . . . . 44, 81, 82 extarrows . . . . . . 40, 81, 82 extpfeil . . . . . . . . 40, 81, 82 extraipa . . . . . . . . . . 14, 81 fc . . . . . . . . . . . . . . . 8, 12 fclfont . . . . . . . . . . . . . . 81 feyn . . . . . . . . . . 48, 81, 82 fge . . . . . . . . . . . . . . . . . 81 fixmath . . . . . . . . . . . . . 76 fontenc . . . . . . 6, 8, 12, 78 gensymb . . . . . . . . . . . . . 45 graphics . . . . . . . . . . . . . 66 graphicx . . . . . . . 16, 63, 66 harmony . . . . . . . . . . . . . 81 hieroglf . . . . . . . 62, 81, 82 holtpolt . . . . . . . . . . 40, 81 ifsym . 45, 53, 58, 59, 64, 66, 81, 82 igo . . . . . . . . . . . . . . . . . 81 isoent . . . . . . . . . . . . . . . 78 keystroke . . . . . . 47, 81, 82 latexsym . 19, 24, 26, 28, 42, 63, 81, 82 manfnt . . . . . . 54, 57, 81, 82 marvosym . 17, 41, 43, 46–49, 55, 57, 64 97 matbbol . . . . . . . . . . . . . 44 mathabx 24, 26, 34, 37, 64, 81 mathbbol . . . . . . . . . . . . 44 mathcomp . . . . . . . . . . . 41 mathdesign 17, 20, 23, 33, 35, 43, 81 mathdots 37, 40, 41, 70, 81, 82 mathrsfs . . . . . . . . . . 44, 81 mathtools . 25, 38, 39, 81, 82 mbboard . . . . . . . . . . 44, 81 metre . . . . 15, 36, 60, 81, 82 MnSymbol . . . . . . . . 37, 81 msym10.tfm . . . . . . . . . . 81 nath . . . . . . . . 33, 35, 36, 81 nicefrac . . . . . . . 43, 81, 82 ntheorem . . . . . . . . . . . . 42 overrightarrow . . . . . . . . . 81 phaistos . . . . . . . 61, 81, 82 phonetic . . . . . . . 11, 15, 81 pifont . . . . . 9, 49–55, 81, 82 polynom . . . . . . . . . . . . . 37 protosem . . . . . . 61, 81, 82 psnfss . . . . . . . . . . . . . . 52 pxfonts 19, 20, 22, 24–33, 42, 44, 63, 78 rotating . . . . . . . . . . . . . 47 savesym . . . . . . . . . . . . . 63 semtrans . . . . 12, 16, 81, 82 simplewick . . . . . . . . . . . 72 simpsons . . . . . . . . . . . . 81 skak . . . . . . . . . . 59, 81, 82 skull . . . . . . . . . . 54, 81, 82 slashed . . . . . . . . . . . . . . 68 staves . . . . . . . . . . . . . . 81 stmaryrd . . . . 20, 21, 24, 26, 28–30, 33, 35, 64, 67, 80–82 t4phonet . . . . 12, 15, 81, 82 textcomp 6, 7, 12, 16–18, 28, 36, 43, 45, 56, 63, 78, 81, 82 timing . . . . . . . . . . . . . . 45 tipa . . . 9, 10, 12–15, 81, 82 tipx . . . . . . . . . . 10, 81, 82 trfsigns . . . . . . 26, 33, 39, 81 trsym . . . . . . . . . 26, 81, 82 turnstile . . . . . . . . . . . . . 81 txfonts 19, 20, 22, 24–33, 42, 44, 63, 65, 78, 81, 82 type1cm . . . . . . . . . . . . . 63 ulsy . . . . . . . . 21, 29, 66, 81 underscore . . . . . . . . . . . . 7 undertilde . . . . . . 38, 81, 82 units . . . . . . . . . . . . . . . 43 universa . . . . . 54, 57, 81, 82 universal 49, 51, 54, 58, 81, 82 upgreek . . . . . . . 32, 81, 82 upquote . . . . . . . . . . . . . 78 url . . . . . . . . . . . . . . . . . 78 vietnam . . . . . . . . . . . . . 81 vntex . . . . . . . . . . . . . 8, 12 wasysym . . . . . . . 11, 17–21, 24, 26–28, 41, 42, 45, 46, 48, 51–53, 56, 64, 81, 82 wsuipa 11, 14, 16, 64, 70, 81, 82 yfonts . . . . . . . . 44, 81, 82 yhmath . . 37, 38, 41, 70, 81 Pakin, Scott . . . . . . . . . . . 1, 80 \PaperLandscape ( ) . . . . . . 59 \PaperPortrait ( ) . . . . . . . 59 par . . . . . . . . . . . . . see \invamp paragraph mark . . . . . . . . see \P \parallel (k) . . . . . . . . . . . . 24 \ParallelPort (Ñ) . . . . . . . . 46 \parr (`) . . . . . . . . . . . . . . . 20 \partial (∂) . . . . . . . . . . . . . 32 particle-physics symbols . . . . . 48 parts per thousand . . . . . . . see \textperthousand \partvoice (a –ˇ») . . . . . . . . . . . 14 \partvoiceless (a – ») . . . . . . . . 14 \passedpawn (r) ˚. . . . . . . . . . 59 pawn . . . . . . . see chess symbols \Peace ( ) . . . . . . . . . . . . . . 55 \PencilLeft ( ) . . . . . . . . . 50 \PencilLeftDown ( ) . . . . . . 50 \PencilLeftUp ( ) . . . . . . . . 50 \PencilRight ( ) . . . . . . . . 50 \PencilRightDown ( ) . . . . . 50 \PencilRightUp ( ) . . . . . . . 50 pencils . . . . . . . . . . . . . . . . . 50 \pentagon (D) . . . . . . . . . . . 53 percent sign . . . . . . . . . . see \% \permil (h) . . . . . . . . . . . . . 18 \Perp (y) . . . . . . . . . . . . . . . 25 \perp (⊥) . . . . . . . . . . . . 24, 69 \perthousand (‰) . . . . . . . . 45 \Pfund (£) . . . . . . . . . . . . . . 17 \PgDown ( Page ↓ ) . . . . . . . . 47 \PgUp ( Page ↑ ) . . . . . . . . . . 47 phaistos (package) . . . 61, 81, 82 Phaistos disk . . . . . . . . . . . . . 61 pharmaceutical prescription . see \textrecipe \PHarrow (J) . . . . . . . . . . . . . 61 \PHcarpentryPlane (S) . . . . 61 \PHsling (V) . . . . . . . . . . . . 61 \PHcat (c) . . . . . . . . . . . . . 61 \PHsmallAxe (r) . . . . . . . . . 61 \PHchild (E) . . . . . . . . . . . . 61 \PHstrainer (q) \PHclub (M) . . . . . . . . . . . . . . 61 \PHcolumn (W) . . . . . . . . . . . . 61 \PHcomb (U) . . . . . . . . . . . . . 61 \PHdove (f) . . . . . . . . . . . . 61 \PHeagle (e) . . . . . . . . . . . . 61 \PHflute (o) . . . . . . . . . . . . 61 \PHgaunlet (H) . . . . . . . . . . 61 \PHgrater (p) . . . . . . . . . . . 61 \PHhelmet (G) . . . . . . . . . . . 61 \PHhide (a) . . . . . . . . . . . . 61 \PHhorn (Z) \Phi (Φ) . . \phi (φ) . . \phiup (φ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 31 31 31 \PHlid (Q) . . . . . . . . . . . . . . 61 \PHlily (m) . . . . . . . . . . . . . 61 \PHmanacles (N) . . . . . . . . . 61 \PHmattock (O) . . . . . . . . . . 61 \Phone ( ) . . . . . . . . . . . . . . 55 \phone () . . . . . . . . . . . . . . 56 \PhoneHandset ( ) phonetic (package) . phonetic symbols . . \photon (::::) . . photons . . . . . . . . . . . . . . . . . . . . . . . . 55 11, 15, 81 . . . . 9–12 . . . . . . 45 . . . . . . 48 \PHoxBack (n) . . . . . . . . . . . 61 \PHpapyrus (k) . . . . . . . . . . . 61 \PHpedestrian (A) . . . . . . . 61 \PHplaneTree (i) . . . . . . . . . 61 \PHbeehive (X) . . . . . . . . . 61 \PHplumedHead (B) . . . . . . 61 \PHboomerang (R) . . . . . . . . 61 \PHram (d) . . . . . . . . . . . . . 61 \PHrosette (l) . . . . . . . . . . 61 \PHbow (K) . . . . . . . . . . . . . . . 61 \PHbullLeg (b) . . . . . . . . . . . 61 \PHcaptive (D) . . . . . . . . . . 61 \PHtattooedHead (C) . . . . . 61 \PHtiara (I) . . . . . . . . . . . . 61 \PHtunny (g) . . . . . . . . . . . 61 \PHvine (j) . . . . . . . . . . . . . 61 \PHdolium (T) . . . . . . . . . . . 61 . . . . . . . . . . . . . 61 \PHbee (h) . . . . . . . . 61 \PHsaw (P) . . . . . . . . . . . . . . 61 \PHshield (L) . . . . . . . . . . . 61 \PHship (Y) . . . . . . . . . . . . 61 98 \PHwavyBand (s) . . . . . . . . . . 61 \PHwoman (F) . . . . . . . . . . . . 61 physical symbols . . . . . . . . . . 45 \Pi (Π) . . . . . . . . . . . . . . . . . 31 \pi (π) . . . . . . . . . . . . . . . . . 31 \Pickup (A) . . . . . . . . . . . . . 47 pifont (package) . 9, 49–55, 81, 82 pilcrow . . . . . . . . . . . . . . see \P pipe . . . . . . . . . . see \textpipe \Pisces (ë) . . . . . . . . . . . . . 46 \pisces (f) . . . . . . . . . . . . . 46 \pitchfork (t) . . . . . . . . . . . 24 \piup (π) . . . . . . . . . . . . . . . 31 \planck (h̄) . . . . . . . . . . . . . 11 \Plane ( ) . . . . . . . . . . . . . . 55 planets . . . . . . . . . . . . . . . . . 46 playing cards . . . . see card suits Plimsoll line . . . . . . . . . . . . . 67 \Plus ( ) . . . . . . . . . . . . . . . 51 plus-or-minus sign . . . . . see \pm \PlusCenterOpen ( ) . . . . . . 51 \PlusOutline ( ) . . . . . . . . . 51 plusses . . . . . . . . . . . . . . . . . 51 \PlusThinCenterOpen ( ) . . . 51 \Pluto (É) . . . . . . . . . . . . . . 46 \pluto (\) . . . . . . . . . . . . . . 46 \pm (±) . . . . . . . . . . . . . . . . . 19 \pm ( ) . . . . . . . . . . . . . . . . . 60 ˙ \pmb ¯. . . . . . . . . . . . . . . . . . . 76 \pmod . . . . . . . . . . . . . . . . . . 30 \pod . . . . . . . . . . . . . . . . . . . 30 \pointer () . . . . . . . . . . . . . 56 \Pointinghand (Z) . . . . . . . . 55 \polishhook (~) . . . . . . . . . . 16 ' & \polter ( ( ) ) . . . . . . . . . . . . 40 polygons . . . . . . . . . . . . . . . . 53 polynom (package) . . . . . . . . . 37 polynomial division . . . . . . . . 37 PostScript . . . . . . . 32, 49, 59, 75 PostScript fonts . . . . . . . . . . . 49 \pounds (£) . . . . . . . . 7, 78, 79 power set . . see alphabets, math \Pp (˙) . . . . . . . . . . . . . . . . . 60 \pp (˙˙ ) . . . . . . . . . . . . . . . . 60 ˙ \ppm ( ) . . . . . . . . . . . . . . . . 60 ˙˙˙) . . . . . . . . . . . . . . . . 60 \Ppp (¯ ˙ \ppp (˙˙ ) . . . . . . . . . . . . . . . 60 ˙ \Pppp (˙˙) . . . . . . . . . . . . . . . . 60 ˙ \pppp ( ˙ ) . . . . . . . . . . . . . . 60 ˙ \Ppppp (˙) . . . . . . . . . . . . . . . 60 ˙ \ppppp (˙˙ ) . . . . . . . . . . . . . . 60 ˙ \Pr (Pr) ˙ . . . . . . . . . . . . . . . . 30 \prec (≺) . . . . . . . . . . . . . . . 24 \precapprox (w) . . . . . . . . . . 24 \preccurlyeq (4) . . . . . . . . . 24 \preceq () . . . . . . . . . . . . . 24 \preceqq () . . . . . . . . . . . . . 25 \precnapprox () . . . . . . . . . 24 \precneqq () . . . . . . . . . . . 25 \precnsim () . . . . . . . . . . . 24 \precsim (-) . . . . . . . . . . . . 24 prescription . . . see \textrecipe \prime (0) . . . . . . . . . . . . . . . 42 \Printer (Ò) . . . . . . . . . . . . 46 probabilistic Q independence . . . 69 \prod ( ) . . . . . . . . . . . . . . 21 \projlim (proj lim) . . . . . . . . 30 pronunciation symbols . . . . . see phonetic symbols proof, end of . . . . . . . . . . . . . 42 \propto (∝) . . . . . . . . . . . . . 24 proto-Semitic symbols . . . . . . 61 protosem (package) . . 61, 81, 82 \ProvidesPackage . . . . . . . . . 80 \PrtSc ( PrtSc ) . . . . . . . . . . 47 \ps ( ) . . . . . . . . . . . . . . . . 60 \Psi (Ψ) . . . . . . . . . . . . . . . . 31 \psi (ψ) . . . . . . . . . . . . . . . . 31 \psiup (ψ) . . . . . . . . . . . . . . 31 psnfss (package) . . . . . . . . . . . 52 pulse diagram symbols . . . . . . 45 \PulseHigh ( ) . . . . . . . . . . 45 \PulseLow ( ) . . . . . . . . . . 45 punctuation . . . . . . . . . . . . 8, 9 \pwedge (U) . . . . . . . . . . . . . 11 pxfonts (package) . . . . 19, 20, 22, 24–33, 42, 44, 63, 78 \Pxp (˙) . . . . . . . . . . . . . . . . 60 \pxp (˙˙ ) . . . . . . . . . . . . . . . 60 $ % ˙ Q Q.E.D. . . . . . . . . . . . . . . . . . 42 \qside (M) . . . . . . . . . . . . . . 59 \Quadrad (]]) . . . . . . . . . . . . . 36 \quadrad (]]) . . . . . . . . . . . . . 36 \Quadras ([[) . . . . . . . . . . . . . 36 \quadras ([[) . . . . . . . . . . . . . 36 quarter note see musical symbols \quarternote (♩) . . . . . . . . . 56 \quarternote (♩) . . . . . . . . . . 56 quaternions . see alphabets, math quaver . . . . see musical symbols queen . . . . . . . see chess symbols \quotedblbase („) . . . . . . . 8, 80 \quotesinglbase (‚) . . . . . 8, 80 R \R (∼) . . . . . . . . . . . . . . . . . 60 \r (å) . . . . . . . . . . . . . . . . . . 12 \r (∼) . . . . . . . . . . . . . . . . . . 60 \Radiation ( ) . . . . . . . . . . 59 radicals . . . see \sqrt and \surd \Radioactivity (j) . . . . . . . 48 \Rain ( ) . . . . . . . . . . . . . . . 58 \RainCloud ( ) . . . . . . . . . . 58 raising . . . . . see \textraising \RaisingEdge ( ) . . . . . . . . . 45 \Rangle (>) . . . . . . . . . . . . . 44 \rAngle (ii) . . . . . . . . . . . . . . 35 \rangle (i) . . . . . . . . . . . . . . 34 \RArrow ( → ) . . . . . . . . . . . 47 \rarrowfill . . . . . . . . . . . . . 39 rational numbers . see alphabets, math rationalized Planck constant . see \hbar \Rbag (Q) . . . . . . . . . . . . . . . 33 \rbag (O) . . . . . . . . . . . . . . . . 33 \Rbrack (]) . . . . . . . . . . . . . . 44 \rBrack (]]) . . . . . . . . . . . . . . 35 \rc (a ) . . . . . . . . . . . . . . . . . 15 \rCeil (ee) . . . . . . . . . . . . . . . 35 \rceil (e) . . . . . . . . . . . . . . . 34 \Re (<) . . . . . . . . . . . . . . . . . 32 real numbers see alphabets, math recipe . . . . . . . see \textrecipe \recorder () . . . . . . . . . . . . 56 \Rectangle ( ) . . . . . . . . . . . 54 \RectangleBold ( ) . . . . . . . . 54 rectangles . . . . . . . . . . . . . . . 54 \RectangleThin ( ) . . . . . . . . 54 \Rectpipe (˜) . . . . . . . . . . . . 48 \Rectsteel (”) . . . . . . . . . . . 48 reduced quadrupole moment see \rqm \reflectbox . . . . . . . . . . . . . 66 registered trademark . . . . . . see \textregistered relational symbols . . . . . . . . . 24 binary . . . . . . . . . . . 24–27 negated binary . . . . . 24, 25 triangle . . . . . . . . . . 27, 28 \Relbar (=) . . . . . . . . . . 29, 66 \relbar (−) . . . . . . . . . . 29, 66 \resizebox . . . . . . . . . . . . . . 63 \Respondens (∼) . . . . . . . . . . 60 \respondens ( ∼) . . . . . . . . . . 60 \restoresymbol . . . . . . . . . . 63 \restriction . . . . . . . . . . . see \upharpoonright u v t 99 retracting . see \textretracting \Return ( ←- ) . . . . . . . . . . . 47 Ñ Ñ \revaw ( ÑÑ) . . . . . . . . . . . . . . 35 \revD () . . . . . . . . . . . \revddots ( . . ) . . . . . . \reve () . . . . . . . . . . \reveject (f) . . . . . . . \revepsilon () . . . . . reverse solidus . . . . . . . \textbackslash \reversedvideodbend ( \revglotstop (c) . . . . \Rewind (¶) . . . . . . . . \RewindToIndex (´) . \RewindToStart (µ) . . \rFloor (cc) . . . . . . . . . \rfloor (c) ......... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 70 11 11 11 see . . . . . . ) .. .. .. .. .. .. . . . . . . . . . . . . . . 54 11 57 57 57 35 34 \rgroup () . . . . . . . . . . . . . 34 \RHD () . . . . . . . . . . . . . . . . \rhd (B) . . . . . . . . . . . . . 19, \rho (ρ) . . . . . . . . . . . . . . . . \rhoup (ρ) . . . . . . . . . . . . . . \right . . . . . . . . . 34, 35, 63, \rightangle (∟) . . . . . . . . . . \RIGHTarrow () . . . . . . . . . . \Rightarrow (⇒) . . . . . . . . . \rightarrow (→) . . . . . . . . . \rightarrowtail () . . . . . . \rightarrowtriangle (_) . . . \RIGHTCIRCLE (H) . . . . . . . . . \RIGHTcircle (H #) . . . . . . . . . \Rightcircle (J) . . . . . . . . . \RightDiamondÑ ( ) . . . . . . . . Ñ \rightevaw ( ÑÑ) . . . . . . . . . . . 20 20 31 31 65 43 56 28 28 28 29 56 56 56 53 \rightharpoondown (+) \rightharpoonup (*) . . \rightleftarrows () . \rightleftharpoons ( ) \rightleftharpoons (* )) \rightleftharpoonsfill \rightmoon (%) . . . . . . . \rightp (w) . . . . . . . . . . \rightpointleft ( ) . .... .... .... ... ... .... .... .... .... 28 28 28 29 28 39 46 16 50 \rightpointright ( ) \rightrightarrows (⇒) \Rightscissors (Q) . . . \rightslice (3) . . . . . . \rightsquigarrow ( ) . \rightt (o) . . . . . . . . . . \rightthreetimes (i) . \rightthumbsdown ( ) \rightthumbsup ( ) .. \Righttorque (') . . . . . \rightturn (!) . . . . . . . . . . . . . . . . . 50 28 49 20 28 16 19 50 50 48 56 ? L N d u . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Ð Ð \rightwave ( ÐÐ) . . . . . . . . . . . 35 \ring (˚) . . . . . . . ring equal to . . . . . ring in equal to . . . \riota ( ) . . . . . . . \risingdotseq (:) \rJoin (Y) . . . . . . \rlap . . . . . .. . . . \rmoustache () . . . . . . . ... see see ... ... ... ... . . . . 37 \circeq \eqcirc . . . . 11 . . . . 24 . . . . 25 . 53, 69 . . . . . . . . . 34 rook . . . . . . . . see chess symbols roots . . . . . . . . . . . . . see \sqrt \rotatebox . . . . . . . . . . . 16, 66 rotated symbols . . . . . . 9–11, 16 rotating (package) . . . . . . . . . 47 \rotm (m) . . . . . . . . . . . . . . . 11 \rotOmega ( ) . . . . . . . . . . . . 11 \rotr (r) . . . . . . . . . . . . . . . 11 \rotvara (A) . . . . . . . . . . . . . 11 \rotw (w) . . . . . . . . . . . . . . . 11 \roty (y) . . . . . . . . . . . . . . . 11 \RoundedLsteel (Ÿ) . . . . . . . 48 \RoundedTsteel () . . . . . . . . 48 \RoundedTTsteel () . . . . . . . 48 \Rparen ()) . . . . . . . . . . . . . . 44 - . . . . . . . . . . . . . . . . 68 \rqm (I) \rrbracket () . . . . . . . . . . . 35 \rrceil (W) . . . . . . . . . . . . . . 33 \rrfloor (U) . . . . . . . . . . . . . 33 \Rrightarrow (V) . . . . . . . . 29 \rrparenthesis (M) . . . . . . . . 33 \RS (␞) . . . . . . . . . . . . . . . . . 47 \Rsh () . . . . . . . . . . . . . . . . 28 \rtimes (o) . . . . . . . . . . . . . 19 \rtriple . . . . . . . . . . . . . . . 36 \rVert (||) . . . . . . . . . . . . . . . 35 \rVert (k) . . . . . . . . . . . . . . 34 \rvert (|)Ð . . . . . . . . . . . . . . . 34 Ð \rwave ( ÐÐ) . . . . . . . . . . . . . . 35 S \S (§) . . . . . . . . . . . . . . . . safety-related symbols . . . . \Sagittarius (è) . . . . . . . \sagittarius (c) . . . . . . . \samebishops (s) . . . . . . . sans (dsfont package option) . . . . . 7, . . . . . 79 48 46 46 59 44 . . . . . . . . . . . . 46 46 63 63 55 63 I) . . . . . . . 55 \satellitedish ( \Saturn (Æ) . . . . \saturn (Y) . . . . savesym (package) \savesymbol . . . . \Sborder ( ) . . . \scalebox . . . . . . scaling mechanical . . S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72, 74 optical . . . . . . . . . . . . \scd () . . . . . . . . . . . . . . \scg () . . . . . . . . . . . . . . \schwa () . . . . . . . . . . . . . \schwa (e) . . . . . . . . . . . . Schwartz distribution spaces alphabets, math \sci (*) . . . . . . . . . . . . . . scientific symbols . . . . . . . . . . . . . . . . . . 72 11 11 11 11 see . . 11 45–48 ) . . . 49 \ScissorHollowRight () . . 49 \ScissorLeft () . . . . . . . . 49 \ScissorLeftBrokenBottom () . . . . . . . . . 49 \ScissorLeftBrokenTop () . 49 \ScissorRight () . . . . . . . . 49 \ScissorHollowLeft ( \ScissorRightBrokenBottom ( . . . . . . . . . 49 ) \ScissorRightBrokenTop ( ) 49 scissors . . . . . . . . . . . . . . 49, 50 \scn (:) . . . . . . . . . . . . . . . . 11 \scoh (˝) . . . . . . . . . . . . . . . 26 \Scorpio (ç) . . . . . . . . . . . . 46 \scorpio (b) . . . . . . . . . . . . 46 \scr (J) . . . . . . . . . . . . . . . . 11 script letters see alphabets, math \scripta () . . . . . . . . . . . . . 11 \scriptg () . . . . . . . . . . . . . 11 \scriptscriptstyle . . . . 68, 69 \scriptstyle . . . . . . . . . 68, 69 \scriptv (Y) . . . . . . . . . . . . . 11 \Scroll ( Scroll ) . . . . . . . . . 47 \scu (W) . . . . . . . . . . . . . . . . 11 \scy (]) . . . . . . . . . . . . . . . . 11 seagull . . . . . see \textseagull \Searrow (u) . . . . . . . . . . . . 29 \searrow (&) . . . . . . . . . 28, 69 \sec (sec) . . . . . . . . . . . . . . . 30 seconds, angular . . . see \prime \secstress (i) . . . . . . . . . . . . 16 section mark . . . . . . . . . . see \S \SectioningDiamond ( ) . . . 59 \see (l) . . . . . . . . . . . . . . . 59 segmented digits . . . . . . . . . . 45 \selectfont . . . . . . . . . . . . . . 6 semantic valuation . . . . . . . . see \llbracket/\rrbracket semibreve . . see musical symbols semidirect products . . . . . . . . 19 semiquaver . see musical symbols semitic transliteration . . . 12, 16 semtrans (package) . 12, 16, 81, 82 \seppawns (q) . . . . . . . . . . . 59 \SerialInterface (Î) . . . . . 46 \SerialPort (Ð) . . . . . . . . . . 46 100 set operators intersection . . . . . see \cap union . . . . . . . . . . see \cup \setminus (\) . . . . . . . . . . . . 19 SGML . . . . . . . . . . . . . . . . . 78 \sharp (]) . . . . . . . . . . . . 42, 56 \Shift ( Shift ⇑ ) . . . . . . . . . 47 \shift (˜) . . . . . . . . . . . . . . 19 \Shilling (¡) . . . . . . . . . . . . 17 \shneg (ˆ) . . . . . . . . . . . . . . 19 \shortdownarrow () . . . . . . . 29 \ShortFifty (×) . . . . . . . . . 57 \ShortForty (Ù) . . . . . . . . . 57 \shortleftarrow ( ) . . . . . . 29 \shortmid (p) . . . . . . . . . . . . 24 \ShortNinetyFive (Ô) . . . . . 57 \shortparallel (q) . . . . . . . . 24 \ShortPulseHigh ( ) . . . . . . 45 \ShortPulseLow ( ) . . . . . . . 45 \shortrightarrow () . . . . . 29 \ShortSixty (Ö) . . . . . . . . . 57 \ShortThirty (Û) . . . . . . . . 57 \shortuparrow () . . . . . . . . 29 \showclock . . . . . . . . . . . . . . 58 \shpos (´) . . . . . . . . . . . . . . 19 \SI (␏) . . . . . . . . . . . . . . . . . 47 \Sigma (Σ) . . . . . . . . . . . . . . 31 \sigma (σ) . . . . . . . . . . . . . . 31 \sigmaup (σ) . . . . . . . . . . . . . 31 \sim (∼) . . . . . . . . . . 24, 67, 77 \simeq (') . . . . . . . . . . . . . . 24 simplewick (package) . . . . . . . 72 simpsons (package) . . . . . . . . . 81 \sin (sin) . . . . . . . . . . . . . . . 30 \sincoh (ˇ) . . . . . . . . . . . . . 26 \sinh (sinh) . . . . . . . . . . . . . 30 \SixFlowerAlternate ( ) . . . 52 \SixFlowerAltPetal ( ) . . . 52 \SixFlowerOpenCenter ( ) . . 52 \SixFlowerPetalDotted ( ) . 52 \SixFlowerPetalRemoved ( ) 52 \SixFlowerRemovedOpenPetal ( ) . . . . . . . . . . . . . . 52 \SixStar ( ) . . . . . . . . . . . . 52 \SixteenStarLight ( ) . . . . 52 sixteenth note see musical symbols \sixteenthnote (♬) . . . . . . . 56 skak (package) . . . . . . 59, 81, 82 skull (package) . . . . . . 54, 81, 82 \skull ( ) . . . . . . . . . . . . . . 54 \slash (/) . . . . . . . . . . . . . . 77 \slashb () . . . . . . . . . . . . . . 11 \slashc ( ) . . . . . . . . . . . . . . 11 \slashd () . . . . . . . . . . . . . . 11 slashed (package) . . . . . . . . . . 68 \slashed . . . . . . . . . . . . . . . 68 slashed letters . . . . . . . . . . . . 68 " # [ A O U M Q L G K slashed.sty (file) . . . . . . . . . 68 \slashu (U) . . . . . . . . . . . . . . 11 \Sleet ( ) . . . . . . . . . . . . . . 58 \sliding (ā) . . . . . . . . . . . . . 14 \smallbosonloop () . . . . . . . . 48 \SmallCircle ( ) . . . . . . . . . 53 \SmallCross ( ) . . . . . . . . . 53 \SmallDiamondshape ( ) . . . 53 \smallfrown (a) . . . . . . . . . . 24 \SmallHBar ( ) . . . . . . . . . . 53 \smallin ( ) . . . . . . . . . . . . . 33 \SmallLowerDiamond ( ) . . . 53 \smallowns () . . . . . . . . . . . 33 \smallpencil ( ) . . . . . . . 50 \SmallRightDiamond ( ) . . . 53 \smallsetminus (r) . . . . . . . 19 \smallsmile (`) . . . . . . . . . . 24 \SmallSquare ( ) . . . . . . . . . 53 \SmallTriangleDown ( ) . . . 53 \SmallTriangleLeft ( ) . . . 53 \SmallTriangleRight ( ) . . . 53 \SmallTriangleUp ( ) . . . . . 53 \SmallVBar ( ) . . . . . . . . . . 53 \smile (^) . . . . . . . . . . . . . . 24 \Smiley (©) . . . . . . . . . . . . . 57 \smiley (,) . . . . . . . . . . . . . 56 smiley faces . . . . . . . . 47, 56, 57 \Snow ( ) . . . . . . . . . . . . . . . 58 \SnowCloud ( ) . . . . . . . . . . 58 \Snowflake ( ) . . . . . . . . . . 52 \SnowflakeChevron ( ) . . . . 52 \SnowflakeChevronBold ( ) . 52 snowflakes . . . . . . . . . . . . 52, 53 \SO (␎) . . . . . . . . . . . . . . . . . 47 \SOH (␁) . . . . . . . . . . . . . . . . 47 space thin . . . . . . . . . . . . . . . . 76 space, visible . . . . . . . . . . . . . . 7 \Spacebar ( ) . . . . . 47 spades (suit) . . . . . . . 42, 43, 55 \spadesuit (♠) . . . . . . . . . . . 42 \Sparkle ( ) . . . . . . . . . . . . 52 \SparkleBold ( ) . . . . . . . . . 52 sparkles . . . . . . . . . . . . . 52, 53 “special” characters . . . . . . . . . 7 \SpecialForty (Ú) . . . . . . . 57 \sphericalangle (^) . . . . . . 42 \SpinDown () . . . . . . . . . . . . . 53 \SpinUp () . . . . . . . . . . . . . . 53 \splitvert (¦) . . . . . . . . . . . 47 \spreadlips (ȧ) . . . . . . . . . . 14 \sqcap (u) . . . . . . . . . . . . . . 19 \sqcapplus (}) . . . . . . . . . . . 20 \sqcup (t) . . . . . . . . . . . . . . 19 E F P O @ A C B D ` ] ) * ^ \ _ \sqcupplusR(|) . . . . . . . . . . . 20 \sqiiint ( ) . . . . . . . . . . . 22 P \sqiint ( ) . . . . . . . . . . . . . 22 ” \sqiint ( ) . . . . . . . . . . . . . 23 \sqint ( ) . . . . . . . . . . . . . . 22 › \sqint (√) . . . . . . . . . . . . . . . 23 \sqrt ( ) . . . . . . . . . . . 37, 69 \sqsubset (@) . . . . . . . . . . . 26 \sqsubseteq (v) . . . . . . . . . . 26 \sqsupset (A) . . . . . . . . . . . 26 \sqsupseteq (w) . . . . . . . . . . 26 \Square ( ) . . . . . . . . . . . . . 53 \Square ( vs. vs. ) . . . . 64 \Square () . . . . . . . . . . . . . 51 \Square ( ) . . . . . . . . . . . . . 54 \square () . . . . . . . . . . . . . 42 square root . . . . . . . . see \sqrt hooked . . . . . . see \hksqrt \SquareCastShadowBottomRight ( ) . . . . . . . . . . . . . . 54 \SquareCastShadowTopLeft ( ) . . . . . . . . . 54 \SquareCastShadowTopRight ( ) . . . . . . . . . 54 \Squaredot (÷) . . . . . . . . . . . 43 \Squarepipe (—) . . . . . . . . . . 48 squares . . . . . . . . . . . . . . 53, 54 \SquareShadowA ( ) . . . . . . . 53 \SquareShadowB ( ) . . . . . . . 53 \SquareShadowBottomRight ( ) . . . . . . . . . 54 \SquareShadowC ( ) . . . . . . . 53 \SquareShadowTopLeft ( ) . . 54 \SquareShadowTopRight ( ) . 54 \SquareSolid ( ) . . . . . . . . . 54 \Squaresteel (“) . . . . . . . . . 48 0 f 0 f k m l g B h j i \squarewithdots ( ) . . . . . . 55 \SS (SS) . . . . . . . . . . . . . . . . . 8 \ss (ß) . . . . . . . . . . . . . . . . . . 8 \ssearrow (%) . . . . . . . . . . . . 29 \sslash () . . . . . . . . . . . . . 20 \sswarrow ($) . . . . . . . . . . . . 29 \stackrel . . . . . . . . . . . . 66, 71 standard state . . . . . . . . . . . . 67 \star (?) . . . . . . . . . . . . 19, 70 Star of David . . . . . . . . . . . . 52 stars . . . . . . . . . . . . . 42, 52, 53 statistical independence . . . . . 69 staves (package) . . . . . . . . . . . 81 \steaming (♨) . . . . . . . . . . . 43 sterling . . . . . . . . . . see \pounds stmaryrd (package) 20, 21, 24, 26, 28–30, 33, 35, 64, 67, 80–82 stochastic independence see \bot \StoneMan ( ) . . . . . . . . . . . . 58 101 \Stopsign (!) . . . . . . . . . . . 48 \StopWatchEnd ( ) . . . . . . . . 58 ) . . . . . . 58 \StopWatchStart ( \stress (h) . . . . . \strictfi (K) . . \strictif (J) . . \strictiff (L) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ; ......... \StrokeFour (::::) . . . . . . . . . . \StrokeOne (:) . . . . . . . . . . . . \StrokeThree (:::) . . . . . . . . . \StrokeTwo (::) . . . . . . . . . . . \StrokeFive ( ) ◦ \stst (− ) ........... \STX (␂) . . . . . . . . . . . . \SUB (␚) . . . . . . . . . . . . subatomic particles . . . . \subcorner (a) . . . . . . . ^ (a) . . . . \subdoublebar ¯ \subdoublevert (a) . . . . \sublptr (a) . . . "". . . . . . \subrptr (a¡ ) . . . . . . . . . subscripts ¿ new symbols used in \Subset (b) . . . . . . . . . \subset (⊂) . . . . . . . . . \subseteq (⊆) . . . . . . . \subseteqq (j) . . . . . . \subsetneq (() . . . . . . \subsetneqq ($) . . . . . . \subsetplus (D) . . . . . . \subsetpluseq (F) . . . . subsets . . . . . . . . . . . . . \succ () . . . . . . . . . . . \succapprox (v) . . . . . . \succcurlyeq (<) . . . . . \succeq () . . . . . . . . . \succeqq () . . . . . . . . . \succnapprox () . . . . . \succneqq () . . . . . . . \succnsim () . . . . . . . \succsim (%) . . . . . . . . \suchthat −) . . . . . . . P (3 \sum ( ) . . . . . . . . . . . 16 25 25 25 59 59 59 59 . . . . . . . . . 59 67 47 47 48 14 14 14 14 14 .. .. .. .. .. .. .. .. .. 26, ... ... ... ... ... ... ... ... ... ... ... 68 26 26 26 26 26 26 26 26 27 24 24 24 24 25 24 25 24 24 67 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \Summit ( ) . . . . . . . . . . . . . 58 \SummitSign ( ) . . . . . . . . . . 58 \Sun (À vs. vs. ) N/A . . . . . 64 \Sun ( ) . . . . . . . . . . . . . . . 58 \Sun (À) . . . . . . . . . . . . . . . . 46 \sun (☼) . . . . . . . . . . . . . . . . 56 \SunCloud ( ) . . . . . . . . . . . 58 T) . . 55 \SunshineOpenCircled ( \sup (sup) . . . . . . . . . . superscripts new symbols used in supersets . . . . . . . . . . . . . . . . 30 . . . . 68 . 26, 27 monetary . . . . . . 16, 17, 44 musical . . . . . . . 18, 42, 56 navigation . . . . . . . . . . . 57 non-commutative division 40 particle physics . . . . . . . 48 Phaistos disk . . . . . . . . . 61 phonetic . . . . . . . . . . 9–12 physical . . . . . . . . . . . . . 45 proto-Semitic . . . . . . . . . 61 pulse diagram . . . . . . . . 45 relational . . . . . . . . . . . . 24 rotated . . . . . . . . 9–11, 16 safety-related . . . . . . . . . 48 scientific . . . . . . . . . 45–48 subset and superset . 26, 27 technological . . . . . . 45–48 TEXbook . . . . . . . . . 54, 57 transliteration . . . . . . . . 12 upside-down . . . 9–11, 16, 77 variable-sized . 21–23, 63, 65 weather . . . . . . . . . . . . . 58 zodiacal . . . . . . . . . . . . . 46 symbols.tex (file) . . . 63, 80, 81 \SYN (␖) . . . . . . . . . . . . . . . . 47 T \T . . . . . . . . . . . . \T ( ) . . . . . . . . . \T (⊗) . . . . . . . . \t (a) ......... \t (⊗) . . . . . . . . . t4phonet (package) → − − ) ... \Tab ( − − → \tabcolsep . . . . . tacks . . . . . . . . . . \taild () . . . . . \tailinvr (H) . . . \taill (0) . . . . . . \tailn (9) . . . . . \tailr (F) . . . . . . \tails (L) . . . . . . \tailt (P) . . . . . . \tailz (_) . . . . . \talloblong (8) . tally markers . . . . \tan (tan) . . . . . . \tanh (tanh) . . . . \Tape ( ) . . . . . . a \Supset (c) . . . . . . . . . . . . . 26 \supset (⊃) . . . . . . . . . . . . . 26 \supseteq (⊇) . . . . . . . . . . . 26 \supseteqq (k) . . . . . . . . . . 26 \supsetneq ()) . . . . . . . . . . 26 \supsetneqq (%) . . . . . . . . . . 26 \supsetplus (E) . . . . . . . . . . 26 \supsetpluseq (G) . . . . . . . . 26 √ \surd ( ) . . . . . . . . . . . . . . . 42 \SurveySign ( ) . . . . . . . . . . 58 \Swarrow (w) . . . . . . . . . . . . 29 \swarrow (.) . . . . . . 28, 69, 70 swung dash . . . . . . . . . see \sim \syl (a) . . . . . . . . . . . . . . . . 15 \syllabic (j) . . . . . . . . . . . . 16 Symbol (font) . . . . . . . . . . . . 32 symbols actuarial . . . . . . . . . . . . 71 alpine . . . . . . . . . . . . . . 58 APL . . . . . . . . . . . . . . . 46 astrological . . . . . . . . . . 46 astronomical . . . . . . . . . 46 biological . . . . . . . . . . . . 48 body-text . . . . . . . . . . 7–18 bold . . . . . . . . . . . . . . . 76 chess . . . . . . . . . . . . . . . 59 clock . . . . . . . . . . . . . . . 58 communication . . . . . . . . 47 computer hardware . . . . . 46 contradiction . . . . . . . . . 29 currency . . . . . . 16, 17, 44 dangerous bend . . . . . . . 54 definition . . . . . . . . . . . . 71 dictionary . . . . . . 9–12, 62 dingbat . . . . . . . . . . 49–55 dot . . . . . . . . 7, 40, 41, 70 electrical . . . . . . . . . . . . 45 engineering . . . . . . . 45, 48 extensible 37–40, 65, 70–72 Feynman diagram . . . . . . 48 genealogical . . . . . . . . . . 56 general . . . . . . . . . . . . . 56 information . . . . . . . . . . 55 informator . . . . . . . . . . . 59 inverted . . . . . . . . 9–11, 16 keyboard . . . . . . . . . . . . 47 Knuth’s . . . . . . . . . . 54, 57 laundry . . . . . . . . . . . . . 57 legal . . . . . . . . . . 7, 17, 79 letter-like . . . . . . . . . 32, 33 life insurance . . . . . . . . . 71 linear logic . . . . . 19, 23, 26 linguistic . . . . . . . . . . 9–12 log-like . . . . . . . . . . 30, 76 mathematical . . . . . . 19–44 METAFONTbook . . . . . . 57 metrical . . . . . . . . . . . . . 60 miscellaneous . 42, 43, 55–62 . . . . . . . . . . . . . . . . . . . . . . ......... 8 . . . . . . . . 16 . . . . . . . . 60 . . . . . . . . 12 . . . . . . . . 60 12, 15, 81, 82 . . . . . . . . 47 . . . . . . . . 67 . . . . . 24, 32 . . . . . . . . 11 . . . . . . . . 11 . . . . . . . . 11 . . . . . . . . 11 . . . . . . . . 11 . . . . . . . . 11 . . . . . . . . 11 . . . . . . . . 11 . . . . . . . . 20 . . . . . . . . 59 . . . . . . . . 30 . . . . . . . . 30 . . . . . . . . 55 \Taschenuhr ( ) . . . . . Tate-Shafarevich group . \tau (τ ) . . . . . . . . . . . . \Taurus (á) . . . . . . . . . \taurus (]) . . . . . . . . . \tauup (τ) . . . . . . . . . . . \tccentigrade (℃) . . . . \tcmu (µ) . . . . . . . . . . . \tcohm (Ω) . . . . . . . . . . \tcpertenthousand (‱) 102 . . . . 58 see sha . . . . 31 . . . . 46 . . . . 46 . . . . 31 . . . . 41 . . . . 41 . . . . 41 . . . 41 \tcperthousand (‰) . . . . . . . 41 \td (a ..) . . . . . . . . . . . . . . . . . 15 technological symbols . . . 45–48 \Telefon (T) . . . . . . . . . . . . 47 \Telephone ( ) . . . . . . . . . 59 \Tent ( ) . . . . . . . . . . . . . . . 58 \Terminus (⊗) . . . . . . . . . . . 60 \terminus (⊗) . . . . . . . . . . . . 60 \Terminus* (⊕) . . . . . . . . . . . 60 \terminus* (⊕) . . . . . . . . . . . 60 \tesh (Q) . . . . . . . . . . . . . . . 11 testfont.dvi (file) . . . . . . . . 74 testfont.tex (file) . . . . . 73, 74 TEX . . . . . . . . 63, 66–76, 78, 83 TEXbook, The . . . . . . 66–71, 75 symbols from . . . . . . 54, 57 \text . . . . . . . . . . . . . . . 68, 69 \textacutedbl (˝) . . . . . . . . 16 \textacutemacron (´ ā) . . . . . . 13 \textacutewedge (´ ǎ) . . . . . . . 13 \textadvancing (affi) . . . . . . . . 13 \textaolig (") . . . . . . . . . . . 10 \textasciiacute (´) . . . . 16, 79 \textasciibreve (˘) . . . . . . . 16 \textasciicaron (ˇ) . . . . . . . 16 \textasciicircum (ˆ) . 7, 77, 80 \textasciidieresis (¨) . 16, 79 \textasciigrave (`) . . . . . . . 16 \textasciimacron . . . . . . . . . 78 \textasciimacron (¯) . . 16, 79 \textasciitilde (˜) . . 7, 77, 80 \textasteriskcentered (∗) 7, 18 \textbabygamma (È) . . . . . . . . . 9 \textbackslash (\) . . . 7, 77, 78 \textbaht (฿) . . . . . . . . . . . . 16 \textbar (|) . . . . . . . . . . . 7, 77 \textbarb (b) . . . . . . . . . . . . . 9 \textbarc (c) . . . . . . . . . . . . . 9 \textbard (d) . . . . . . . . . . . . . 9 \textbardbl (‖) . . . . . . . . . . 18 \textbardotlessj (é) . . . . . . . 9 \textbarg (g) . . . . . . . . . . . . . 9 \textbarglotstop (Ü) . . . . . . . 9 \textbari (1) . . . . . . . . . . . . . 9 \textbarl (ł) . . . . . . . . . . . . . 9 \textbaro (8) . . . . . . . . . . . . . 9 \textbarrevglotstop (Ý) . . . . 9 \textbaru (0) . . . . . . . . . . . . . 9 \textbeltl (ì) . . . . . . . . . . . . 9 \textbenttailyogh (B) . . . . . 10 \textbeta (B) . . . . . . . . . . . . . 9 \textbigcircle (○) . . . . . . . 18 \textbktailgamma (.) . . . . . . 10 \textblank (␢) . . . . . . . . . . . 18 \textborn (b) . . . . . . . . . . . . 56 \textbottomtiebar (a <) . . . . . 13 \textbraceleft ({) . . . . . . . . . 7 \textbraceright (}) . . . . . . . . 7 ( \textbrevemacron (˘ ā) . . . . . . 13 \textbrokenbar (¦) . . . . . 18, 79 \textbullet (•) . . . . . 7, 18, 80 \textbullseye (ò) . . . . . . . . . 9 \textcelsius (℃) . . . . . . . . . 45 \textceltpal ( ) . . . . . . . . . . . 9 \textcent (¢) . . . . . . . . . 16, 79 \textcentoldstyle () . . . . . 16 \textchi (X) . . . . . . . . . . . . . . 9 \textcircled (○) . . . . . . . . 12 \textcircledP (℗) . . . . . . . 17 \textcircumacute (Ż a) . . . . . . 13 \textcircumdot (ˆ ȧ) . . . . . . . . 13 \textcloseepsilon (Å) . . . . . . 9 \textcloseomega (Ñ) . . . . . . . . 9 \textcloserevepsilon (Æ) . . . . 9 \textcolonmonetary (₡) . . . . 16 \textcommatailz (Þ) . . . . . . . . 9 textcomp (package) . . . . 6, 7, 12, 16–18, 28, 36, 43, 45, 56, 63, 78, 81, 82 \textcopyleft («) . . . . . . . 17 \textcopyright (©) . . 7, 17, 79 \textcorner (^) . . . . . . . . . . . . 9 \textcrb (ă) . . . . . . . . . . . . . . 9 \textcrd (ą) . . . . . . . . . . . . . . 9 \textcrd () . . . . . . . . . . . . . 12 \textcrg (g) . . . . . . . . . . . . . . 9 \textcrh (è) . . . . . . . . . . . . . . 9 \textcrh (§) . . . . . . . . . . . . . 12 \textcrinvglotstop (Û) . . . . . 9 \textcrlambda (ň) . . . . . . . . . 9 \textcrtwo (2) . . . . . . . . . . . . 9 \textctc (C) . . . . . . . . . . . . . . 9 \textctd (ć) . . . . . . . . . . . . . . 9 \textctdctzlig (ćý) . . . . . . . . 9 \textctesh (š) . . . . . . . . . . . . 9 \textctinvglotstop (D) . . . . 10 \textctj (J) . . . . . . . . . . . . . . 9 \textctjvar (2) . . . . . . . . . . 10 \textctn (ő) . . . . . . . . . . . . . . 9 \textctstretchc (%) . . . . . . . 10 \textctstretchcvar (&) . . . . 10 \textctt (ť) . . . . . . . . . . . . . . 9 \textcttctclig (ťC) . . . . . . . . 9 \textctturnt (@) . . . . . . . . . . 10 \textctyogh (ÿ) . . . . . . . . . . . 9 \textctz (ý) . . . . . . . . . . . . . . 9 \textcurrency (¤) . . . . . 16, 79 \textdagger (†) . . . . . . . . 7, 18 \textdaggerdbl (‡) . . . . . . 7, 18 \textdbend ( ) . . . . . . . . . . 54 \textdblhyphen (-) . . . . . . . . 18 \textdblhyphenchar () . . . . . 18 \textdblig ()) . . . . . . . . . . 10 \textdctzlig (dý) . . . . . . . . . 10 \textdegree (°) . . . . . . . 43, 79 \textdied (d) . . . . . . . . . . . . 56 \textdiscount () . . . . . . . . 18 \textdiv (÷) . . . . . . . . . . . . 43 \textdivorced (c) . . . . . . . . 56 \textdollar ($) . . . . . . . . 7, 16 \textdollaroldstyle () . . . 16 \textdong (₫) . . . . . . . . . . . . 16 \textdotacute (§ a) . . . . . . . . 13 ˙ \textdotbreve (ă) . . . . . . . . 13 \textdoublebaresh (S) . . . . . 10 \textdoublebarpipe (}) . . . . 10 \textdoublebarpipevar (H) . . 10 \textdoublebarslash (= / ) . . . 10 \textdoublegrave (‚ a) . . . . . . 13 \textdoublegrave (a ) . . . . . . 15 \textdoublepipe ({) . . . . . . . 10 \textdoublepipevar (G) . . . . 10 \textdoublevbaraccent (İ a) . . 13 \textdoublevbaraccent (a ¼) . . 15 \textdoublevertline (Ş) . . . 10 \textdownarrow (↓) . . . . . . . . 28 \textdownfullarrow (ˇ) . . . . 10 \textdownstep (Ť) . . . . . . . . . 10 \textdyoghlig (Ã) . . . . . . . . 10 \textdzlig (dz) . . . . . . . . . . . 10 \texteightoldstyle () . . . . 17 \textellipsis (. . . ) . . . . . . . . 7 \textemdash (—) . . . . . . . . . . 7 \textendash (–) . . . . . . . . . . . 7 \textepsilon (E) . . . . . . . . . 10 \textepsilon (¢) . . . . . . . . . 12 \textesh (S) . . . . . . . . . . . . . 10 \textesh (¬) . . . . . . . . . . . . . 12 \textestimated (℮) . . . . . . . 18 \texteuro (€) . . . . . . . . . . . . 17 \texteuro (€) . . . . . 16, 78, 80 \textexclamdown (¡) . . . . . . . . 7 \textfemale (7) . . . . . . . . . . 10 \textfishhookr (R) . . . . . . . . 10 \textfiveoldstyle () . . . . . 17 \textfjlig () . . . . . . . . . . . 12 \textflorin (ƒ) . . . . . . . . . . . 16 \textfouroldstyle () . . . . . 17 \textfractionsolidus (⁄) . . . 43 \textfrak . . . . . . . . . . . . . . . 44 \textfrbarn (5) . . . . . . . . . . 10 \textfrhookd (’) . . . . . . . . . 10 \textfrhookdvar (() . . . . . . . 10 \textfrhookt (?) . . . . . . . . . 10 \textfrtailgamma (-) . . . . . . 10 \textg (ě) . . . . . . . . . . . . . . 10 \textgamma (G) . . . . . . . . . . . 10 \textglobfall (Ů) . . . . . . . . 10 \textglobrise (Ű) . . . . . . . . 10 \textglotstop (P) . . . . . . . . . 9 \textglotstopvari (T) . . . . . 10 \textglotstopvarii (U) . . . . 10 \textglotstopvariii (V) . . . 10 \textgoth . . . . . . . . . . . . . . . 44 \textgravecircum (Ž a) . . . . . . 13 103 \textgravedbl () . . . . . . . . 16 \textgravedot (đ a) . . . . . . . . 13 \textgravemacron (` ā) . . . . . . 13 \textgravemid (Ź a) . . . . . . . . 13 \textgreater (>) . . . . . . . 7, 77 \textgrgamma (,) . . . . . . . . . 10 \textguarani () . . . . . . . . . 16 \texthalflength (;) . . . . . . . . 9 \texthardsign (ż) . . . . . . . . . 9 \textheng (0) . . . . . . . . . . . . 10 \texthmlig (4) . . . . . . . . . . 10 \texthooktop (#) . . . . . . . . . . . 9 \texthtb (á) . . . . . . . . . . . . . . 9 \texthtb ( ) . . . . . . . . . . . . . 12 \texthtbardotlessj (ê) . . . . . . 9 \texthtbardotlessjvar (3) . . 10 \texthtc (Á) . . . . . . . . . . . . . . 9 \texthtc (°) . . . . . . . . . . . . . 12 \texthtd (â) . . . . . . . . . . . . . . 9 \texthtd (¡) . . . . . . . . . . . . 12 \texthtg (ä) . . . . . . . . . . . . . . 9 \texthth (H) . . . . . . . . . . . . . . 9 \texththeng (Ê) . . . . . . . . . . . 9 \texthtk (Î) . . . . . . . . . . . . . . 9 \texthtk (¨) . . . . . . . . . . . . . 12 \texthtp (Ò) . . . . . . . . . . . . . . 9 \texthtp (±) . . . . . . . . . . . . . 12 \texthtq (Ó) . . . . . . . . . . . . . . 9 \texthtrtaild (č) . . . . . . . . . 9 \texthtscg (É) . . . . . . . . . . . . 9 \texthtt (Ö) . . . . . . . . . . . . . . 9 \texthtt (º) . . . . . . . . . . . . . 12 \texthvlig (ß) . . . . . . . . . . . . 9 \textifsym . . . . . . . . . . . . . . 45 \textinterrobang (‽) . . . . . . 18 \textinterrobangdown () . . . 18 \textinvglotstop (Û) . . . . . . . 9 \textinvomega (;) . . . . . . . . 10 \textinvsca (p) . . . . . . . . . . 10 \textinvscr (K) . . . . . . . . . . . 9 \textinvscripta (!) . . . . . . . 10 \textinvsubbridge (a „) . . . . . 13 \textiota (Ì) . . . . . . . . . . . . . 9 \textiota (à) . . . . . . . . . . . . 12 \textlambda (ń) . . . . . . . . . . . 9 \textlangle (〈) . . . . . . . 36, 77 \textlbrackdbl (〚) . . . . . . . . 36 \textleaf (l) . . . . . . . . . . . 56 \textleftarrow (←) . . . . . . . 28 \textlengthmark (:) . . . . . . . . 9 \textless (<) . . . . . . . . . 7, 77 \textlfishhookrlig (I) . . . . 10 ~ \textlhdbend ( ) . . . . . . . . 54 \textlhookfour (#) . . . . . . . . 10 \textlhookp (<) . . . . . . . . . . 10 \textlhookt (ş) . . . . . . . . . . . 9 \textlhti (1) . . . . . . . . . . . . 10 \textlhtlongi (ę) . . . . . . . . . . 9 \textlhtlongy (ű) . . . . . . . . . 9 \textlira (₤) . . . . . . . . . . . . 16 \textlnot (¬) . . . . . . . . . 43, 79 \textlonglegr (Ô) . . . . . . . . . . 9 \textlooptoprevesh (>) . . . . . 10 \textlowering (afl) . . . . . . . . 13 \textlptr (¡) . . . . . . . . . . . . . 9 \textlquill (⁅) . . . . . . . . . . 36 \textltailm (M) . . . . . . . . . . . 9 \textltailn (ñ) . . . . . . . . . . . 9 \textltailn (©) . . . . . . . . . . 12 \textltilde (ë) . . . . . . . . . . . 9 \textlyoghlig (Ð) . . . . . . . . . 9 \textmarried (m) . . . . . . . . . 56 \textmho (℧) . . . . . . . . . . . . 45 \textmidacute (Ÿ a) . . . . . . . . 13 \textminus (−) . . . . . . . . . . . 43 \textmu (µ) . . . . . . . . . . . 45, 79 \textmusicalnote (♪) . . . . . . 18 \textnaira (₦) . . . . . . . . . . . 16 \textnineoldstyle () . . . . . 17 \textnrleg (6) . . . . . . . . . . . 10 \textnumero (№) . . . . . . . . . . 18 \textObardotlessj (Í) . . . . . . 9 \textObullseye (9) . . . . . . . 10 \textohm (Ω) . . . . . . . . . . . . 45 \textOlyoghlig (ŋ) . . . . . . . . . 9 \textomega (ř) . . . . . . . . . . . . 9 \textonehalf (½) . . . . . . 43, 79 \textoneoldstyle . . . . . . . . . 17 \textoneoldstyle () . . . . . . 17 \textonequarter (¼) . . . . 43, 79 \textonesuperior (¹) . . . 43, 79 \textopenbullet (◦) . . . . . . . 18 \textopencorner (_) . . . . . . . . 9 \textopeno (O) . . . . . . . . . . . . 9 \textopeno (ª) . . . . . . . . . . . 12 \textordfeminine (ª) . 7, 18, 79 \textordmasculine (º) 7, 18, 79 \textovercross (‰ a ) . . . . . . . . 13 — \textoverw (a) . . . . . . . . . . . 13 \textpalhook (%) . . . . . . . . . . . 9 \textpalhooklong (ˆ) . . . . . . 10 \textpalhookvar (˜) . . . . . . . 10 \textparagraph (¶) . . . . . 7, 18 \textperiodcentered (·) 7, 18, 79 \textpertenthousand (‱) . . 18 \textperthousand (‰) . . 18, 80 \textpeso () . . . . . . . . . . . . 16 \textphi (F) . . . . . . . . . . . . . . 9 \textpilcrow (¶) . . . . . . . . . 18 \textpipe (|) . . . . . . . . . . . . 10 \textpipe (|) . . . . . . . . . . . . 12 \textpipevar (F) . . . . . . . . . . 10 \textpm (±) . . . . . . . . . . 43, 79 \textpmhg . . . . . . . . . . . . . . . 62 \textpolhook (a˛ ) . . . . . . . . . 13 \textprimstress (") . . . . . . . 10 \textproto . . . . . . . . . . . . . . 61 \textqplig (=) . . . . . . . . . . 10 \textquestiondown (¿) . . . . . . 7 \textquotedbl (") . . . . . . 8, 77 \textquotedblleft (“) . . . . . . 7 \textquotedblright (”) . . . . . 7 \textquoteleft (‘) . . . . . . . . . 7 \textquoteright (’) . . . . . . . . 7 \textquotesingle (') . . . . . . 18 \textquotestraightbase (‚) . 18 \textquotestraightdblbase („) . . . . . . . . . 18 \textraiseglotstop (ij) . . . . 10 \textraisevibyi (ğ) . . . . . . . 10 \textraising (afi) . . . . . . . . . 13 \textramshorns (7) . . . . . . . . 10 \textrangle (〉) . . . . . . . 36, 77 \textrbrackdbl (〛) . . . . . . . . 36 \textrecipe () . . . . . . . 18, 65 \textrectangle (¨) . . . . . . . . 10 \textreferencemark (※) . . . . 18 \textregistered (®) . 7, 17, 79 \textretracting (affl) . . . . . . . 13 \textretractingvar (˚) . . . . 10 \textrevapostrophe (\) . . . . . 10 \textreve (9) . . . . . . . . . . . . 10 \textrevepsilon (3) . . . . . . . 10 \textreversedvideodbend ( . . . . . . . . . 54 \textrevglotstop (Q) . . . . \textrevscl (v) . . . . . . . . \textrevscr (z) . . . . . . . . \textrevyogh (ź) . . . . . . . \textrhooka ( ) . . . . . . . . \textrhooke (*) . . . . . . . . \textrhookepsilon (+) . . . \textrhookopeno (:) . . . . . \textrhookrevepsilon (Ç) \textrhookschwa (Ä) . . . . . \textrhoticity (~) . . . . . . \textrightarrow (→) . . . . \textringmacron (˚ ā) . . . . . \textroundcap (“ a) . . . . . . \textrptr (¿) . . . . . . . . . . \textrquill (⁆) . . . . . . . . \textrtaild (ã) . . . . . . . . \textrtaild (ð) . . . . . . . . \textrtailhth (/) . . . . . . \textrtaill (í) . . . . . . . . . \textrtailn (ï) . . . . . . . . \textrtailr (ó) . . . . . . . . \textrtails (ù) . . . . . . . . \textrtailt (ú) . . . . . . . . \textrtailt (») . . . . . . . . \textrtailz (ü) . . . . . . . . \textrthook ($) . . . . . . . . . \textrthooklong (´) . . . . . \textsca (À) . . . . . . . . . . . \textscaolig (q) . . . . . . . 104 ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 10 10 10 10 10 10 10 10 10 10 28 13 13 10 36 10 12 10 10 . 9 . 9 . 9 . 9 12 . 9 . 9 10 . 9 10 \textscb (à) . . . . . . . . . . . . . . 9 \textscdelta (r) . . . . . . . . . 10 \textsce (ď) . . . . . . . . . . . . . . 9 \textscf (s) . . . . . . . . . . . . . 10 \textscg (å) . . . . . . . . . . . . . . 9 \textsch (Ë) . . . . . . . . . . . . . . 9 \textschwa (@) . . . . . . . . . . . . 9 \textschwa (¡) . . . . . . . . . . . 12 \textsci (I) . . . . . . . . . . . . . . 9 \textscj (ĺ) . . . . . . . . . . . . . . 9 \textsck (t) . . . . . . . . . . . . . 10 \textscl (Ï) . . . . . . . . . . . . . . 9 \textscm (w) . . . . . . . . . . . . 10 \textscn (ð) . . . . . . . . . . . . . . 9 \textscoelig (Œ) . . . . . . . . . . 9 \textscomega (ś) . . . . . . . . . . 9 \textscp (x) . . . . . . . . . . . . . 10 \textscq (y) . . . . . . . . . . . . . 10 \textscr (ö) . . . . . . . . . . . . . . 9 \textscripta (A) . . . . . . . . . . 9 \textscriptg (g) . . . . . . . . . . 9 \textscriptv (V) . . . . . . . . . . 9 \textscriptv (¬) . . . . . . . . . . 12 \textscu (Ú) . . . . . . . . . . . . . . 9 \textscy (Y) . . . . . . . . . . . . . . 9 \textseagull (a ) . . . . . . . . . 13 \textsecstress () . . . . . . . . . 9 \textsection (§) . . . . . . . 7, 18 \textservicemark (℠) . . . . . . 17 \textsevenoldstyle () . . . . 17 \textsixoldstyle () . . . . . . 17 \textsoftsign (ž) . . . . . . . . . . 9 \textspleftarrow (˝) . . . . . . 10 \textsterling (£) . . . . . . 7, 16 \textstretchc (Â) . . . . . . . . . 9 \textstretchcvar ($) . . . . . . 10 \textstyle . . . . . . . . 68, 69, 76 \textsubacute (a) . . . . . . . . 13 \textsubarch (a)› . . . . . . . . . 13 \textsubbar (a)“ . . . . . . . . . . 13 ¯ \textsubbridge (a ”) . . . . . . . . 13 \textsubcircum (a) . . . . . . . . 13 \textsubdot (a) ˆ. . . . . . . . . . 13 ˙ \textsubdoublearrow (˙) . . . 10 \textsubgrave (a) . . . . . . . . 13 ‹ (a) . . . . . 13 \textsublhalfring – \textsubplus (aff) . . . . . . . . . 13 \textsubrhalfring (a» ) . . . . . 13 \textsubrightarrow (¯) . . . . 10 \textsubring (a) . . . . . . . . . 14 \textsubsquare˚(a «) . . . . . . . . 14 \textsubtilde (a) . . . . . . . . 14 \textsubumlaut ˜(a) . . . . . . . . 14 \textsubw (a —) . . ¨. . . . . . . . . . 14 \textsubwedge (a) . . . . . . . . 14 ˇ \textsuperimposetilde (a &) . . 14 \textsuperscript . . . . . . . . . 15 \textsurd (√) . . . . . . . . . . . . 43 \textswab . . . . . . . . . . . . . . . 44 \textsyllabic (a) . . . . . . . . 14 \texttctclig (tC)" . . . . . . . . . . 9 \textteshlig (Ù) . . . . . . . . . . 9 \textteshlig () . . . . . . . . . 12 \texttheta (T) . . . . . . . . . . . . 9 \textthorn (þ) . . . . . . . . . . . . 9 \textthornvari (P) . . . . . . . . 10 \textthornvarii (Q) . . . . . . . 10 \textthornvariii (R) . . . . . . 10 \textthornvariv (S) . . . . . . . 10 \textthreeoldstyle () . . . . 17 \textthreequarters (¾) . 43, 79 \textthreequartersemdash () . . . . . . . . . . 18 \textthreesuperior (³) . 43, 79 \texttildedot (˜ ȧ) . . . . . . . . 14 \texttildelow (~) . . . . . 18, 78 \texttimes (×) . . . . . . . . . . . 43 \texttoneletterstem (£) . . . . . 9 \texttoptiebar (> a) . . . . . . . . 14 \texttrademark (™) . . 7, 17, 80 \texttslig (ţ) . . . . . . . . . . . . 9 \textturna (5) . . . . . . . . . . . . 9 \textturncelig (ŕ) . . . . . . . . 9 \textturnglotstop (E) . . . . . 10 \textturnh (4) . . . . . . . . . . . . 9 \textturnk (ľ) . . . . . . . . . . . . 9 \textturnlonglegr (Õ) . . . . . . 9 \textturnm (W) . . . . . . . . . . . 9 \textturnmrleg (î) . . . . . . . 10 \textturnr (ô) . . . . . . . . . . . 10 \textturnrrtail (õ) . . . . . . . 10 \textturnsck (u) . . . . . . . . . 10 \textturnscripta (6) . . . . . . 10 \textturnscu ({) . . . . . . . . . 10 \textturnt (Ø) . . . . . . . . . . . 10 \textturnthree (C) . . . . . . . . 10 \textturntwo (A) . . . . . . . . . 10 \textturnv (2) . . . . . . . . . . . 10 \textturnw (û) . . . . . . . . . . . 10 \textturny (L) . . . . . . . . . . . 10 \texttwelveudash () . . . . . . 18 \texttwooldstyle . . . . . . . . . 17 \texttwooldstyle () . . . . . . 17 \texttwosuperior (²) . . . 43, 79 \textuncrfemale (8) . . . . . . . 10 \textunderscore ( ) . . . . . . . . 7 \textuparrow (↑) . . . . . . . . . 28 \textupfullarrow (˘) . . . . . . 10 \textupsilon (U) . . . . . . . . . 10 \textupstep (Ţ) . . . . . . . . . . 10 \textvbaraccent (IJ a) . . . . . . . 14 \textvbaraccent (a ¿) . . . . . . . 15 \textvertline (Š) . . . . . . . . . 10 \textvibyi (ğ) . . . . . . . . . . . 10 \textvibyy (ů) . . . . . . . . . . . 10 \textvisiblespace ( ) . . . . . . 7 \textwon (₩) . . . . . . . . . . . . 16 \textwynn (ß) . . . . . . . . . . . . 10 \textyen (¥) . . . . . . . . . 16, 79 \textyogh (Z) . . . . . . . . . . . . 10 \textyogh (¶) . . . . . . . . . . . . 12 \textzerooldstyle () . . . . . 17 \TH (Þ) . . . . . . . . . . . . . . . 8, 79 \th (þ) . . . . . . . . . . . . . . . 8, 79 Thành, Hàn Th´ê . . . . . . . . . . 70 \therefore (∴) . . . . . . . . 24, 41 \Thermo . . . . . . . . . . . . . . . . 58 \Theta (Θ) . . . . . . . . . . . . . . 31 \theta (θ) . . . . . . . . . . . . . . 31 \thetaup (θ) . . . . . . . . . . . . . 31 \thickapprox (≈) . . . . . . . . . 24 \thicksim (∼) . . . . . . . . . . . 24 thin space . . . . . . . . . . . . . . . 76 \ThinFog ( ) . . . . . . . . . . . . 58 thirty-second note . . see musical symbols \Thorn (Þ) . . . . . . . . . . . . . . 11 \thorn (B) . . . . . . . . . . . . . . 11 \thorn (p) . . . . . . . . . . . . . . 11 \thorn (þ) . . . . . . . . . . . . . . 11 thousandths . . . . . . . . . . . . see \textperthousand ∼ \threesim (∼ ∼) . . . . . . . . . . . 67 tilde . 7, 9, 11, 13, 16, 18, 36–38, 70, 77–78 extensible . . . . . . . . 37, 38 vertically centered . . . . . 77 \tilde (˜) . . . . . . . . . . . 36, 70 \tildel (-) . . . . . . . . . . . . . 11 time of day . . . . . . . . . . . . . . 58 \timelimit (T) . . . . . . . . . . 59 \times (×) . . . . . . . . . . . . . . 19 Times Roman (font) . . . . 17, 65 timing (package) . . . . . . . . . . 45 tipa (package) 9, 10, 12–15, 81, 82 tipx (package) . . . . . . 10, 81, 82 \to . . . . . . . . . see \rightarrow \ToBottom (½) . . . . . . . . . . . . 57 \tone . . . . . . . . . . . . . . . . . . 10 \top (>) . . . . . . . . . . . . . 32, 68 \topbot (⊥ >) . . . . . . . . . . 68, 70 torus . . . . . . see alphabets, math \ToTop (¼) . . . . . . . . . . . . . . 57 trademark . . see \texttrademark \TransformHoriz ( ) . . . . . 26 transforms . . . . . . . . . . . 26, 39 \TransformVert ( ) . . . . . . . 26 transliteration semitic . . . . . . . . . . . 12, 16 transliteration symbols . . . . . 12 transversality . . see \pitchfork trfsigns (package) . . 26, 33, 39, 81 \triangle (4) . . . . . . . . . . . 42 triangle relations . . . . . . . 27, 28 \TriangleDown ( ) . . . . . . . . 53 3 105 \TriangleDown ( o vs. 3) o . . . 64 \TriangleDown ( ) . . . . . . . . 54 \triangledown (O) . . . . . . . . 42 2 \TriangleLeft ( ) . . \triangleleft (/) . . \trianglelefteq (E) \trianglelefteqslant \triangleq (,) . . . . . . . . . 53 19 27 28 27 \TriangleRight ( ) . . . . . . . \triangleright (.) . . . . . . . . \trianglerighteq (D) . . . . . \trianglerighteqslant (Q) . triangles . . . . . . . . . . 42, 53, 53 19 27 28 54 4 1 \TriangleUp ( ) \TriangleUp ( .... .... .... (P) .... . . . . . . . . . . . . . . 53 n vs. 1) . . . . . 64 n . . . . . . . . . 54 \TriangleUp ( ) \triple . . . . . . . trsym (package) . . \tsbm ( ) . . . . . . \tsmb ( ) . . . . . . \tsmm ( ) . . . . . . \Tsteel (œ) . . . . \TTsteel (š) . . . TUGboat . . . . . . \Tumbler () . . . turnstile (package) ...... 26, 81, ...... ...... ...... ...... ...... ...... ...... ...... 36 82 60 60 60 48 48 37 57 81 \TwelweStar ( ) . . . . . . . . . \twoheadleftarrow () . . . . \twoheadrightarrow () . . . \twonotes () . . . . . . . . . . . . txfonts (package) . . . . 19, 20, 24–33, 42, 44, 63, 65, 78, 82 type1cm (package) . . . . . . . . . Type 1 (font) . . . . . . . . . . . . 52 28 28 56 22, 81, J . . . . . . . . . . U \U (a) . . . . . . . . . . \U (a ¼˘) . . . . . . . . . . \u (ă) . . . . . . . . . . \UArrow ( ↑ ) . . . \ubar (u) . . . . . . . ubulb.fd (file) . . . \udesc (u) . . . . . . \udtimes (]) . . . . \UHORN (Ư) . . . . . . \uhorn (ư) . . . . . . \ulcorner (p) . . . . ulsy (package) . . . . umlaut . . . . . . . . . unary operators . . . \unclear (k) . . . . \underaccent . . . . \underarc (a ) .... ^ \underarch (a ) . . . \underbrace (|{z}) . . . . . . . . . . . . . . . . . . . . 63 75 . . . . . . . . 16 . . . . . . . . 12 . . . . . . . . 12 . . . . . . . . 47 . . . . . . . . 11 . . . . . 74, 75 . . . . . . . . 11 . . . . . . . . 20 ......... 8 ......... 8 . . . . . . . . 33 21, 29, 66, 81 . see accents . . . . . . . . 19 . . . . . . . . 59 . . . . . . . . 70 . . . . . . . . 15 . . . . . . . . 14 . . . . . . . . 38 \underbrace (|{z}) . . . . . . . . 37 \underbracket ( ) . . . . . . . . 38 \underbracket ( ) . . . . . 71, 72 \underdots (r) . . . . . . . . . . . \underleftarrow ( ) . . . . . . ← − \underleftrightarrow ( ) . ← → \underline ( ) . . . . . . . . . . . \underparenthesis (|}) . 71, 16 38 38 37 72 \underrightarrow ( ) . . . . . 38 − → \underring (y) . . . . . . . . . . . 16 underscore . . . . . . . . . . . see \_ underscore (package) . . . . . . . . 7 \underset . . . . . . . . . . . . . . . 66 undertilde (package) . . 38, 81, 82 \undertilde (|) . . . . . . . . . . 16 \underwedge (}) . . . . . . . . . . 16 union . . . . . . . . . . . . . see \cup unit disk . . . see alphabets, math \unitedpawns (u) . . . . . . . . . 59 units (package) . . . . . . . . . . . 43 unity . . . . . see alphabets, math universa (package) . 54, 57, 81, 82 universal (package) 49, 51, 54, 58, 81, 82 \unlhd (E) . . . . . . . . . . . 19, 20 \unrhd (D) . . . . . . . . . . . 19, 20 \upalpha (α) . . . . . . . . . . . . . 32 \UParrow (K) . . . . . . . . . . . . . 56 \Uparrow (⇑) . . . . . . . . . . 28, 34 \uparrow (↑) . . . . . . . 28, 34, 63 \upbar . . . . . . . . . . . . . . . . . 15 \upbeta (β) . . . . . . . . . . . . . . 32 \upbracketfill . . . . . . . . . . 71 \upchi (χ) . . . . . . . . . . . . . . 32 \Updelta (∆) . . . . . . . . . . . . . 32 \updelta (δ) . . . . . . . . . . . . . 32 \Updownarrow (m) . . . . . . 28, 34 \updownarrow (l) . . . . . . 28, 34 \upepsilon (ε) . . . . . . . . . . . 32 \upeta (η) . . . . . . . . . . . . . . 32 \Upgamma (Γ) . . . . . . . . . . . . . 32 \upgamma (γ) . . . . . . . . . . . . . 32 upgreek (package) . . . 32, 81, 82 \upharpoonleft () . . . . . . . . 29 \upharpoonright () . . . . . . . 29 \upiota (ι) . . . . . . . . . . . . . . 32 \upkappa (κ) . . . . . . . . . . . . . 32 \Uplambda (Λ) . . . . . . . . . . . . 32 \uplambda (λ) . . . . . . . . . . . . 32 \uplett . . . . . . . . . . . . . . . . 15 \uplus (]) . . . . . . . . . . . . . . 19 \upmu (µ) . . . . . . . . . . . . . . . 32 \upnu (ν) . . . . . . . . . . . . . . . 32 \Upomega (Ω) . . . . . . . . . . . . 32 \upomega (ω) . . . . . . . . . . . . 32 \upp (t) . . . . . . . . . . . . . . . . 16 \upparenthfill . . . \Upphi (Φ) . . . . . . . \upphi (φ) . . . . . . . \Uppi (Π) . . . . . . . . \uppi (π) . . . . . . . . \Uppsi (Ψ) . . . . . . . \uppsi (ψ) . . . . . . . upquote (package) . . \uprho (ρ) . . . . . . . upright Greek letters upside-down symbols upside-down symbols \Upsigma (Σ) . . . . . . \upsigma (σ) . . . . . . \Upsilon (Υ) . . . . . \upsilon (υ) . . . . . . \upsilonup (υ) . . . . \upt (l) . . . . . . . . . \uptau (τ) . . . . . . . . \Uptheta (Θ) . . . . . \uptheta (θ) . . . . . . \upuparrows () . . \Upupsilon (Υ) . . . . \upupsilon (υ) . . . . \upvarepsilon (ε) . . \upvarphi (ϕ) . . . . . \upvarpi (ϖ) . . . . . \upvarrho (ρ) . . . . . \upvarsigma (σ) . . . \upvartheta (ϑ) . . . \Upxi (Ξ) . . . . . . . . \upxi (ξ) . . . . . . . . \upzeta (ζ) . . . . . . . \Uranus (Ç) . . . . . . . \uranus (Z) . . . . . . . \urcorner (q) . . . . . url (package) . . . . . . \US (␟) . . . . . . . . . . \usepackage . . . . . . \ut (a) . . . . . . . . . . ˜ ( ) ....... \utilde e \utimes (^) . . . . . . Utopia (font) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 78 . . . . 32 . 31, 32 . . . . 77 9–11, 16 . . . . 32 . . . . 32 . . . . 31 . . . . 31 . . . . 31 . . . . 16 . . . . 32 . . . . 32 . . . . 32 . . . . 28 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 32 . . . . 46 . . . . 46 . . . . 33 . . . . 78 . . . . 47 ..... 6 . . . . 15 . . . . 38 . . . . 20 . 17, 23 V \v (ǎ) . . . . . . . . . . . \vara (a) . . . . . . . . \varangle () . . . . \varbigcirc (,) . . \VarClock ( ) . . . . \varclub (♧) . . . . . \varclubsuit (p) . . \varcurlyvee () . . \varcurlywedge () \vardiamond (♦) . . . \vardiamondsuit (q) \varepsilon (ε) . . . \varepsilonup (ε) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 11 42 20 58 43 42 20 20 43 42 31 31 \VarFlag ( ) . . . . . . . . . . . . 58 varg (txfonts/pxfonts package option) . . . . . . . . . . . . . 32 \varg (1) . . . . . . . . . . . . . . . 32 \varg (G) . . . . . . . . . . . . . . . 11 \varheart (♥) . . . . . . . . . . . 43 \varheartsuit (r) . . . . . . . . 42 \varhexagon (9) . . . . . . . . . . 53 \varhexstar (B) . . . . . . . . . . 52 \vari (i) . . . . . . . . . . . . . . . . 11 variable-sized symbols 21–23, 63, 65 \VarIceMountain ( ) . . . . . . 58 \varinjlim (lim) . . . . . . . . . . 30 r −→ \varint ( ) . . . . . . . . . . . . . 21 \various (R) . . . . . . . . . . . . 59 \varkappa (κ) . . . . . . . . . . . 31 \varliminf (lim) . . . . . . . . . . 30 \varlimsup (lim) . . . . . . . . . . 30 \varmathbb . . . . . . . . . . . . . . 44 \VarMountain ( ) . . . . . . . . . 58 \varnothing (∅) . . . . . . . . . . 42 \varoast () . . . . . . . . . . . . 20 \varobar () . . . . . . . . . . . . 20 \varobslash () . . . . . . . . . . 20 \varocircle () . . . . . . . . . . 20 \varodot () . . . . . . . . . . . . 20 \varogreaterthan (5) F. . . . . 20 \varoiiintclockwise ( ) . . 22 N \varoiiintctrclockwise ( ) 22 ! \varoiint ( ) . . . . B . . . . . . . 23 \varoiintclockwise ( ) . . . 22 J \varoiintctrclockwise ( ) . 22 u \varoint ( ) . . . . .- . . . . . . . 21 \varointclockwise ( ) . . . . . 22 ff \varointclockwise ( ) +. . . . . 23 \varointctrclockwise ( ) . . 22 fl \varointctrclockwise ( ) . . . 23 \varolessthan (4) . . . . . . . . 20 \varomega () . . . . . . . . . . . . 11 \varominus () . . . . . . . . . . . 20 \varopeno (C) . . . . . . . . . . . . 11 \varoplus () . . . . . . . . . . . 20 \varoslash () . . . . . . . . . . . 20 \varotimes () . . . . . . . . . . . 20 \varovee (6) . . . . . . . . . . . . 20 \varowedge (7) . . . . . . . . . . . 20 \varparallel (∥) . . . . . . . . . 25 \varparallelinv ( ) . . . . . . . 25 \varphi (ϕ) . . . . . . . . . . . . . 31 \varphiup (ϕ) . . . . . . . . . . . . 31 \varpi ($) . . . . . . . . . . . . . . 31 \varpiup ($) . . . . . . . . . . . . 31 \varprod ( ) . . . . . . . . . . . . 22 \varprojlim (lim) . . . . . . . . . 30 ←− \varpropto (∝) . . . . . . . . . . 24 \varQ ( ) . . . . . . . . . . . . . . . 58 \varrho (%) . . . . . . . \varrhoup (%) . . . . . \varsigma (ς) . . . . . \varsigmaup (ς) . . . \varspade (♤) . . . . \varspadesuit (s) . \varsubsetneq ( ) . \varsubsetneqq (&) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 31 31 31 43 42 26 26 \VarSummit ( ) . . . . . . . . . . 58 \varsupsetneq (!) . . . . . . . . 26 \varsupsetneqq (') . . . . . . . 26 \VarTaschenuhr ( ) . . \vartheta (ϑ) . . . . . . . \varthetaup (ϑ) . . . . . \vartimes (") . . . . . . . \vartriangle (M) . . . . \vartriangleleft (C) \vartriangleright (B) \varv (3) . . . . . . . . . . \varw (4) . . . . . . . . . . \vary (2) . . . . . . . . . . . . . . . . . . . . . . . .. .. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 31 31 20 42 27 27 32 32 32 \VBar ( ) . . . . . . . . \vcentcolon (:) . . . . \vcenter . . . . . . . . \Vdash () . . . . . . . \vDash () . . . . . . . \vdash (`) . . . . . . . . \vdots (..) . . . . . . . . \vec (~) . . . . . . . . . \Vectorarrow (p) . . . \Vectorarrowhigh (P) \vee (∨) . . . . . . . . . \veebar (Y) . . . . . . \Venus (Ã) . . . . . . . \venus (♀) . . . . . . . \vernal () . . . . . . \Vert (k) . . . . . . . . \vert (|) . . . . . . . . . \VHF (@) . . . . . . . . . vietnam (package) . . \Village ( ) \vin ( ) . . . . . . vinculum . . . . . . \Virgo (å) . . . . \virgo (`) . . . vntex (package) . \vod (v) . . . . . . ˚ \voicedh (h) . . . \vppm ( ) . . . . . ¯˙ \vpppm ( ˙ ) . . . . ¯˙ \VT (␋) . . . . . . . #» \vv ( ) . . . . . . \VvDash () . . . \Vvdash () . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 25 67 24 24 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 36 43 43 19 19 46 46 46 34 34 45 81 . . . . . . . . . 58 . . . . . . . . . . 33 . see \overline . . . . . . . . . . 46 . . . . . . . . . . 46 . . . . . . . . 8, 12 . . . . . . . . . . 11 . . . . . . . . . . 11 . . . . . . . . . . 60 . . . . . . . . . . 60 . . . . . . . . . . 47 . . . . . . . . . . 38 . . . . . . . . . . 25 . . . . . . . . . . 24 W \WashCotton (‰) . . . . . . . . . 57 \WashSynthetics (Š) . . . . . 57 \WashWool (‹) . . . . . . . . . . . 57 \wasylozenge (◊) . . . . . . . . . 56 \wasypropto () . . . . . . . . . . 24 wasysym (package) . . . 11, 17–21, 24, 26–28, 41, 42, 45, 46, 48, 51–53, 56, 64, 81, 82 \wasytherefore (∴) . . . . . . . 41 wavy-line delimiters . . . . . . . . 35 \wbetter (f) . . . . . . . . . . . . 59 \wdecisive (h) . . . . . . . . . . 59 \weakpt (J) . . . . . . . . . . . . . 59 \WeakRain ( ) . . . . . . . . . . . 58 \WeakRainCloud ( ) . . . . . . . 58 weather symbols . . . . . . . . . . 58 \Wecker ( ) . . . . . . . . . . . . 58 \wedge (∧) . . . . . . . . . . . . . . 19 Weierstrass ℘ function . . see \wp \Wheelchair (w) . . . . . . . . . . 55 \whistle (aŢ ) . . . . . . . . . . . . . 14 whole note . see musical symbols Wick contractions . . . . . . . . . 72 \widehat (b) . . . . . . . . . . . . . 37 \wideparen (Û) . . . . . . . . . . . 38 \widering (Û̊) . . . \widetilde (e) . . \widetriangle (Ê) \wind . . . . . . . . . window . . . . . . . . Windows® . . . . . \with (&) . . . . . . \with (w) . . . . . . \withattack (A) . \withidea (E) . . \withinit (C) . . . \without (v) . . . \wn (?) . . . . . . . . \Womanface (þ) . won . . . . . . . . . . \wp (℘) . . . . . . . . \wr (o) . . . . . . . . wreath product . . \Writinghand (b) wsuipa (package) . 70, 81, 82 \wupperhand (c) . . . . . . . . . . 38 . . . . . . 37, 38 . . . . . . . . 38 . . . . . . . . . 58 . . . . . . . . . 58 . . . . . . . . . 78 . . . . . . . . . 20 . . . . . . . . . 59 . . . . . . . . . 59 . . . . . . . . . 59 . . . . . . . . . 59 . . . . . . . . . 59 . . . . . . . . . 19 . . . . . . . . . 57 . see \textwon . . . . . . . . . 32 . . . . . . . . . 19 . . . . . see \wr . . . . . . . . . 55 11, 14, 16, 64, . . . . . . . . . 59 X \x (˙˙) . . . . . . . . . . . . . . . . . . 60 ˙˙ (4) . . . . . . . . . . . . . . . 51 \XBox \xhookleftarrow (← −-) . . . . . . 39 \xhookrightarrow (,− →) \Xi (Ξ) . . . . . . . . . . . . \xi (ξ) . . . . . . . . . . . . \xiup (ξ) . . . . . . . . . . 107 . . . . . . . . . . . . . . . . . . . . 39 31 31 31 \xLeftarrow (⇐ =) . . . . . . . . . 39 \xleftarrow (← −) . . . . . . . . . 39 \xleftharpoondown () −) . . . . 39 \xleftharpoonup (( −) . . . . . . 39 ⇒) \xLeftrightarrow (⇐ . . . . 40 \xLeftrightarrow (⇐ ⇒) . . . . 39 →) \xleftrightarrow (← . . . . 40 \xleftrightarrow (← →) . . . . 39 ( −) . . 39 \xleftrightharpoons (− + \xlongequal (===) . . . . . . . . . 40 \xlongequal (===) . . . . . . . . . 40 \xLongleftarrow (⇐= =) . . . . . 40 −) . . . . . 40 \xlongleftarrow (←− =⇒) 40 \xLongleftrightarrow (⇐= \xlongleftrightarrow (←− −→) 40 \xLongrightarrow (= =⇒) . . . . 40 \xlongrightarrow (− −→) . . . . 40 \xmapsto (7−→) . . . . . . . . . . . 39 \xmapsto (7−→) . . . . . . . . . . . 40 XML . . . . . . . . . . . . . . . . . . 78 \xRightarrow (= ⇒) . . . . . . . . . 39 \xrightarrow (− →) . . . . . . . . 39 +) . . . 39 \xrightharpoondown (− \xrightharpoonup (− *) . . . . . 39 − * \xrightleftharpoons () −) . . 39 − * \xrightleftharpoons () −) . . 39 Xs . . . . . . . . . . . . . . . . . 51, 55 # \XSolid ( ) . . . . . . . . . . . . . 51 \XSolidBold ( $) . . . . . . . . . 51 %) . . . . . . . . . 51 \XSolidBrush ( \xtwoheadleftarrow (−−−) . 40 \xtwoheadrightarrow (−−−) 40 XY-pic . . . . . . . . . . . . . . . . . . 69 Y \Ydown () . . . . yen . . . . . . . . . . yfonts (package) . yhmath (package) 81 \Yinyang (Y) . . \Yleft () . . . . \yogh (`) . . . . . \yogh (x) . . . . . \Yright () . . . \Yup () . . . . . . . . . . . . . . . . . . . 20 . see \textyen . . . 44, 81, 82 37, 38, 41, 70, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 20 11 11 20 20 Z Zapf Chancery (font) . . . . . . . 44 Zapf Dingbats (font) . . . . 49, 52 \Zborder ( ) . . . . . . . . . . . . 55 Z \zeta (ζ) . . . . . \zetaup (ζ) . . . . \Zodiac . . . . . . zodiacal symbols 108 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 31 46 46 . \Ztransf ( s ... c) . . . . . . . . . . 26 . \ztransf ( c ... s) . . . . . . . . . . 26 \zugzwang (D) . . . . . . . . . . . 59
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