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Beautiful math in all browsers. MathJax is an open-source JavaScript display engine for LaTeX, MathML, and AsciiMath notation that works in all browsers.

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[ { "category": "Po", "mappings": { "default": { "default": "factorial operator", "alternative": "exclamation mark", "short": "factorial" }, "mathspeak": { "default": "exclamation-mark" } }, "key": "0021" }, { "category": "Po", "mappings": { "default": { "default": "quotation mark" }, "mathspeak": { "default": "quotation-mark" } }, "key": "0022" }, { "category": "Po", "mappings": { "default": { "default": "number sign", "alternative": "hash", "short": "number" }, "mathspeak": { "default": "number-sign", "brief": "num-sign", "sbrief": "num-sign" } }, "key": "0023" }, { "category": "Sc", "mappings": { "default": { "default": "dollar sign", "short": "dollar" }, "mathspeak": { "default": "dollar-sign" } }, "key": "0024" }, { "category": "Po", "mappings": { "default": { "default": "percent sign", "short": "percent" }, "mathspeak": { "default": "percent-sign" } }, "key": "0025" }, { "category": "Po", "mappings": { "default": { "default": "ampersand" } }, "key": "0026" }, { "category": "Po", "mappings": { "default": { "default": "apostrophe", "alternative": "apostrophe quote" }, "mathspeak": { "default": "prime" } }, "key": "0027" }, { "category": "Po", "mappings": { "default": { "default": "asterisk" } }, "key": "002A" }, { "category": "Sm", "mappings": { "default": { "default": "plus sign", "short": "plus" } }, "key": "002B" }, { "category": "Po", "mappings": { "default": { "default": "comma" } }, "key": "002C" }, { "category": "Pd", "mappings": { "default": { "default": "hyphen minus", "short": "minus" }, "mathspeak": { "default": "hyphen" } }, "key": "002D" }, { "category": "Po", "mappings": { "default": { "default": "full stop", "alternative": "period" }, "mathspeak": { "default": "period" } }, "key": "002E" }, { "category": "Po", "mappings": { "default": { "default": "solidus", "alternative": "slash" }, "mathspeak": { "default": "slash" }, "emacspeak": { "default": "slash" } }, "key": "002F" }, { "category": "Po", "mappings": { "default": { "default": "colon" } }, "key": "003A" }, { "category": "Po", "mappings": { "default": { "default": "semicolon" } }, "key": "003B" }, { "category": "Sm", "mappings": { "default": { "default": "less than sign", "short": "less than" }, "mathspeak": { "default": "less-than" } }, "key": "003C" }, { "category": "Sm", "mappings": { "default": { "default": "equals sign", "short": "equals" } }, "key": "003D" }, { "category": "Sm", "mappings": { "default": { "default": "greater than sign", "short": "greater than" }, "mathspeak": { "default": "greater-than" } }, "key": "003E" }, { "category": "Po", "mappings": { "default": { "default": "question mark" }, "mathspeak": { "default": "question-mark" } }, "key": "003F" }, { "category": "Po", "mappings": { "default": { "default": "commercial at", "short": "at" }, "mathspeak": { "default": "commercial-at" } }, "key": "0040" }, { "category": "Po", "mappings": { "default": { "default": "reverse solidus", "alternative": "backslash" }, "mathspeak": { "default": "reverse-solidus" } }, "key": "005C" }, { "category": "Sk", "mappings": { "default": { "default": "circumflex accent", "alternative": "spacing circumflex", "short": "hat" }, "mathspeak": { "default": "caret" } }, "key": "005E" }, { "category": "Pc", "mappings": { "default": { "default": "low line", "alternative": "spacing underscore" }, "mathspeak": { "default": "bar" } }, "key": "005F" }, { "category": "Sk", "mappings": { "default": { "default": "grave accent", "alternative": "spacing grave", "short": "grave" }, "mathspeak": { "default": "grave" } }, "key": "0060" }, { "category": "Sm", "mappings": { "default": { "default": "vertical line", "alternative": "vertical bar" }, "mathspeak": { "default": "vertical-bar" } }, "key": "007C" }, { "category": "Sm", "mappings": { "default": { "default": "tilde" } }, "key": "007E" }, { "category": "Po", "mappings": { "default": { "default": "inverted exclamation mark" }, "mathspeak": { "default": "inverted-exclamation-mark" } }, "key": "00A1" }, { "category": "Sc", "mappings": { "default": { "default": "cent sign", "short": "cent" }, "mathspeak": { "default": "cent-sign" } }, "key": "00A2" }, { "category": "Sc", "mappings": { "default": { "default": "pound sign", "short": "pound" }, "mathspeak": { "default": "pound-sign" } }, "key": "00A3" }, { "category": "Sc", "mappings": { "default": { "default": "currency sign", "short": "currency" }, "mathspeak": { "default": "currency-sign" } }, "key": "00A4" }, { "category": "Sc", "mappings": { "default": { "default": "yen sign", "short": "yen" }, "mathspeak": { "default": "yen-sign" } }, "key": "00A5" }, { "category": "So", "mappings": { "default": { "default": "broken bar", "alternative": "broken vertical bar" }, "mathspeak": { "default": "broken-vertical-bar" } }, "key": "00A6" }, { "category": "Po", "mappings": { "default": { "default": "section sign", "short": "section" }, "mathspeak": { "default": "section-sign" } }, "key": "00A7" }, { "category": "Sk", "mappings": { "default": { "default": "diaeresis", "alternative": "spacing diaeresis", "short": "double dot" }, "mathspeak": { "default": "two-dots" } }, "key": "00A8" }, { "category": "So", "mappings": { "default": { "default": "copyright sign", "short": "copyright" }, "mathspeak": { "default": "copyright-sign" } }, "key": "00A9" }, { "category": "Lo", "mappings": { "default": { "default": "feminine ordinal indicator" }, "mathspeak": { "default": "feminine-ordinal-indicator" } }, "key": "00AA" }, { "category": "Pi", "mappings": { "default": { "default": "left pointing double angle quotation mark", "alternative": "left pointing guillemet" }, "mathspeak": { "default": "left-pointing-guillemet" } }, "key": "00AB" }, { "category": "Sm", "mappings": { "default": { "default": "not sign", "short": "not" }, "mathspeak": { "default": "not-sign" } }, "key": "00AC" }, { "category": "So", "mappings": { "default": { "default": "registered sign", "alternative": "registered trade mark sign", "short": "registered" }, "mathspeak": { "default": "registered-trade-mark-sign" } }, "key": "00AE" }, { "category": "Sk", "mappings": { "default": { "default": "macron", "alternative": "spacing macron" }, "mathspeak": { "default": "bar" } }, "key": "00AF" }, { "category": "So", "mappings": { "default": { "default": "degree sign", "short": "degree" }, "mathspeak": { "default": "degree" } }, "key": "00B0" }, { "category": "Sm", "mappings": { "default": { "default": "plus minus sign", "alternative": "plus or minus sign", "short": "plus minus" }, "mathspeak": { "default": "plus-or-minus" } }, "key": "00B1" }, { "category": "Sk", "mappings": { "default": { "default": "acute accent", "alternative": "spacing acute", "short": "acute" }, "mathspeak": { "default": "acute" } }, "key": "00B4" }, { "category": "Ll", "mappings": { "default": { "default": "micro sign", "short": "micro" }, "mathspeak": { "default": "micro-sign" } }, "key": "00B5" }, { "category": "Po", "mappings": { "default": { "default": "pilcrow sign", "alternative": "paragraph sign", "short": "pilcrow" }, "mathspeak": { "default": "paragraph-sign" } }, "key": "00B6" }, { "category": "Po", "mappings": { "default": { "default": "middle dot" }, "mathspeak": { "default": "dot" } }, "key": "00B7" }, { "category": "Sk", "mappings": { "default": { "default": "cedilla", "alternative": "spacing cedilla" }, "mathspeak": { "default": "cedilla" } }, "key": "00B8" }, { "category": "Lo", "mappings": { "default": { "default": "masculine ordinal indicator" }, "mathspeak": { "default": "masculine-ordinal-indicator" } }, "key": "00BA" }, { "category": "Pf", "mappings": { "default": { "default": "right pointing double angle quotation mark", "alternative": "right pointing guillemet" }, "mathspeak": { "default": "right-pointing-guillemet" } }, "key": "00BB" }, { "category": "Po", "mappings": { "default": { "default": "inverted question mark" }, "mathspeak": { "default": "inverted-question-mark" } }, "key": "00BF" }, { "category": "Sm", "mappings": { "default": { "default": "multiplication sign", "short": "multiplication" }, "mathspeak": { "default": "times" } }, "key": "00D7" }, { "category": "Sm", "mappings": { "default": { "default": "division sign", "short": "division" }, "mathspeak": { "default": "division-sign" } }, "key": "00F7" }, { "category": "Sk", "mappings": { "default": { "default": "breve", "alternative": "spacing breve" }, "mathspeak": { "default": "breve" } }, "key": "02D8" }, { "category": "Sk", "mappings": { "default": { "default": "dot above", "alternative": "spacing dot above" }, "mathspeak": { "default": "dot" } }, "key": "02D9" }, { "category": "Sk", "mappings": { "default": { "default": "ring above", "alternative": "spacing ring above" }, "mathspeak": { "default": "ring-above" } }, "key": "02DA" }, { "category": "Sk", "mappings": { "default": { "default": "ogonek", "alternative": "spacing ogonek" }, "mathspeak": { "default": "ogonek" } }, "key": "02DB" }, { "category": "Sk", "mappings": { "default": { "default": "small tilde", "alternative": "spacing tilde" }, "mathspeak": { "default": "tilde" } }, "key": "02DC" }, { "category": "Sk", "mappings": { "default": { "default": "double acute accent", "alternative": "spacing double acute" }, "mathspeak": { "default": "double-acute" } }, "key": "02DD" }, { "category": "Pd", "mappings": { "default": { "default": "hyphen" } }, "key": "2010" }, { "category": "Pd", "mappings": { "default": { "default": "non breaking hyphen" }, "mathspeak": { "default": "non-breaking-hyphen" } }, "key": "2011" }, { "category": "Pd", "mappings": { "default": { "default": "figure dash" }, "mathspeak": { "default": "figure-dash" } }, "key": "2012" }, { "category": "Pd", "mappings": { "default": { "default": "en dash" }, "mathspeak": { "default": "en-dash" } }, "key": "2013" }, { "category": "Pd", "mappings": { "default": { "default": "em dash" }, "mathspeak": { "default": "em-dash" } }, "key": "2014" }, { "category": "Pd", "mappings": { "default": { "default": "horizontal bar", "alternative": "quotation dash" }, "mathspeak": { "default": "quotation-dash" } }, "key": "2015" }, { "category": "Po", "mappings": { "default": { "default": "double vertical line", "alternative": "double vertical bar" }, "mathspeak": { "default": "double-vertical-bar" } }, "key": "2016" }, { "category": "Po", "mappings": { "default": { "default": "double low line", "alternative": "spacing double underscore" }, "mathspeak": { "default": "double-underscore" } }, "key": "2017" }, { "category": "Pi", "mappings": { "default": { "default": "left single quotation mark", "alternative": "single turned comma quotation mark" }, "mathspeak": { "default": "single-turned-comma-quotation-mark" } }, "key": "2018" }, { "category": "Pf", "mappings": { "default": { "default": "right single quotation mark", "alternative": "single comma quotation mark" }, "mathspeak": { "default": "single-comma-quotation-mark" } }, "key": "2019" }, { "category": "Ps", "mappings": { "default": { "default": "single low 9 quotation mark", "alternative": "low single comma quotation mark" }, "mathspeak": { "default": "low-single-comma-quotation-mark" } }, "key": "201A" }, { "category": "Pi", "mappings": { "default": { "default": "single high reversed 9 quotation mark", "alternative": "single reversed comma quotation mark" }, "mathspeak": { "default": "single-reversed-comma-quotation-mark" } }, "key": "201B" }, { "category": "Pi", "mappings": { "default": { "default": "left double quotation mark", "alternative": "double turned comma quotation mark" }, "mathspeak": { "default": "double-turned-comma-quotation-mark" } }, "key": "201C" }, { "category": "Pf", "mappings": { "default": { "default": "right double quotation mark", "alternative": "double comma quotation mark" }, "mathspeak": { "default": "double-comma-quotation-mark" } }, "key": "201D" }, { "category": "Ps", "mappings": { "default": { "default": "double low 9 quotation mark", "alternative": "low double comma quotation mark" }, "mathspeak": { "default": "low-double-comma-quotation-mark" } }, "key": "201E" }, { "category": "Pi", "mappings": { "default": { "default": "double high reversed 9 quotation mark", "alternative": "double reversed comma quotation mark" }, "mathspeak": { "default": "double-reversed-comma-quotation-mark" } }, "key": "201F" }, { "category": "Po", "mappings": { "default": { "default": "dagger" } }, "key": "2020" }, { "category": "Po", "mappings": { "default": { "default": "double dagger" }, "mathspeak": { "default": "double-dagger" } }, "key": "2021" }, { "category": "Po", "mappings": { "default": { "default": "bullet" } }, "key": "2022" }, { "category": "Po", "mappings": { "default": { "default": "triangular bullet" }, "mathspeak": { "default": "triangular-bullet" } }, "key": "2023" }, { "category": "Po", "mappings": { "default": { "default": "one dot leader" }, "mathspeak": { "default": "one-dot-leader" } }, "key": "2024" }, { "category": "Po", "mappings": { "default": { "default": "two dot leader" }, "mathspeak": { "default": "two-dot-leader" } }, "key": "2025" }, { "category": "Po", "mappings": { "default": { "default": "horizontal ellipsis" }, "mathspeak": { "default": "ellipsis" } }, "key": "2026" }, { "category": "Po", "mappings": { "default": { "default": "hyphenation point" }, "mathspeak": { "default": "hyphenation-point" } }, "key": "2027" }, { "category": "Po", "mappings": { "default": { "default": "per mille sign", "short": "per mille" }, "mathspeak": { "default": "per-mille" } }, "key": "2030" }, { "category": "Po", "mappings": { "default": { "default": "per ten thousand sign", "short": "per ten thousand" }, "mathspeak": { "default": "per-ten-thousand" } }, "key": "2031" }, { "category": "Po", "mappings": { "default": { "default": "prime" } }, "key": "2032" }, { "category": "Po", "mappings": { "default": { "default": "double prime" }, "mathspeak": { "default": "double-prime" } }, "key": "2033" }, { "category": "Po", "mappings": { "default": { "default": "triple prime" }, "mathspeak": { "default": "triple-prime" } }, "key": "2034" }, { "category": "Po", "mappings": { "default": { "default": "reversed prime" }, "mathspeak": { "default": "reversed-prime" } }, "key": "2035" }, { "category": "Po", "mappings": { "default": { "default": "reversed double prime" }, "mathspeak": { "default": "reversed-double-prime" } }, "key": "2036" }, { "category": "Po", "mappings": { "default": { "default": "reversed triple prime" }, "mathspeak": { "default": "reversed-triple-prime" } }, "key": "2037" }, { "category": "Po", "mappings": { "default": { "default": "caret" } }, "key": "2038" }, { "category": "Pi", "mappings": { "default": { "default": "single left pointing angle quotation mark", "alternative": "left pointing single guillemet" }, "mathspeak": { "default": "left-pointing-single-guillemet" } }, "key": "2039" }, { "category": "Pf", "mappings": { "default": { "default": "single right pointing angle quotation mark", "alternative": "right pointing single guillemet" }, "mathspeak": { "default": "right-pointing-single-guillemet" } }, "key": "203A" }, { "category": "Po", "mappings": { "default": { "default": "reference mark" }, "mathspeak": { "default": "reference-mark" } }, "key": "203B" }, { "category": "Po", "mappings": { "default": { "default": "double exclamation mark" }, "mathspeak": { "default": "double-exclamation-mark" } }, "key": "203C" }, { "category": "Po", "mappings": { "default": { "default": "interrobang" } }, "key": "203D" }, { "category": "Po", "mappings": { "default": { "default": "overline", "alternative": "spacing overscore" }, "mathspeak": { "default": "bar" } }, "key": "203E" }, { "category": "Pc", "mappings": { "default": { "default": "undertie" } }, "key": "203F" }, { "category": "Pc", "mappings": { "default": { "default": "character tie" }, "mathspeak": { "default": "character-tie" } }, "key": "2040" }, { "category": "Po", "mappings": { "default": { "default": "caret insertion point" }, "mathspeak": { "default": "caret-insertion-point" } }, "key": "2041" }, { "category": "Po", "mappings": { "default": { "default": "asterism" } }, "key": "2042" }, { "category": "Po", "mappings": { "default": { "default": "hyphen bullet" }, "mathspeak": { "default": "hyphen-bullet" } }, "key": "2043" }, { "category": "Sm", "mappings": { "default": { "default": "fraction slash" }, "mathspeak": { "default": "fraction-slash" } }, "key": "2044" }, { "category": "Po", "mappings": { "default": { "default": "double question mark" }, "mathspeak": { "default": "double-question-mark" } }, "key": "2047" }, { "category": "Po", "mappings": { "default": { "default": "question exclamation mark" }, "mathspeak": { "default": "question-exclamation-mark" } }, "key": "2048" }, { "category": "Po", "mappings": { "default": { "default": "exclamation question mark" }, "mathspeak": { "default": "exclamation-question-mark" } }, "key": "2049" }, { "category": "Po", "mappings": { "default": { "default": "reversed pilcrow sign", "short": "reversed pilcrow" }, "mathspeak": { "default": "reversed-pilcrow" } }, "key": "204B" }, { "category": "Po", "mappings": { "default": { "default": "black leftwards bullet" }, "mathspeak": { "default": "black-leftwards-bullet" } }, "key": "204C" }, { "category": "Po", "mappings": { "default": { "default": "black rightwards bullet" }, "mathspeak": { "default": "black-rightwards-bullet" } }, "key": "204D" }, { "category": "Po", "mappings": { "default": { "default": "low asterisk" }, "mathspeak": { "default": "low-asterisk" } }, "key": "204E" }, { "category": "Po", "mappings": { "default": { "default": "reversed semicolon" }, "mathspeak": { "default": "reversed-semicolon" } }, "key": "204F" }, { "category": "Po", "mappings": { "default": { "default": "close up" }, "mathspeak": { "default": "close-up" } }, "key": "2050" }, { "category": "Po", "mappings": { "default": { "default": "two asterisks aligned vertically" }, "mathspeak": { "default": "two-asterisks-aligned-vertically" } }, "key": "2051" }, { "category": "Sm", "mappings": { "default": { "default": "commercial minus sign", "short": "commercial minus" }, "mathspeak": { "default": "commercial-minus" } }, "key": "2052" }, { "category": "Po", "mappings": { "default": { "default": "swung dash" }, "mathspeak": { "default": "swung-dash" } }, "key": "2053" }, { "category": "Pc", "mappings": { "default": { "default": "inverted undertie" }, "mathspeak": { "default": "inverted-undertie" } }, "key": "2054" }, { "category": "Po", "mappings": { "default": { "default": "flower punctuation mark" }, "mathspeak": { "default": "flower-punctuation-mark" } }, "key": "2055" }, { "category": "Po", "mappings": { "default": { "default": "three dot punctuation" }, "mathspeak": { "default": "three-dot-punctuation" } }, "key": "2056" }, { "category": "Po", "mappings": { "default": { "default": "quadruple prime" }, "mathspeak": { "default": "quadruple-prime" } }, "key": "2057" }, { "category": "Po", "mappings": { "default": { "default": "four dot punctuation" }, "mathspeak": { "default": "four-dot-punctuation" } }, "key": "2058" }, { "category": "Po", "mappings": { "default": { "default": "five dot punctuation" }, "mathspeak": { "default": "five-dot-punctuation" } }, "key": "2059" }, { "category": "Po", "mappings": { "default": { "default": "two dot punctuation" }, "mathspeak": { "default": "two-dot-punctuation" } }, "key": "205A" }, { "category": "Po", "mappings": { "default": { "default": "four dot mark" }, "mathspeak": { "default": "four-dot-mark" } }, "key": "205B" }, { "category": "Po", "mappings": { "default": { "default": "dotted cross" }, "mathspeak": { "default": "dotted-cross" } }, "key": "205C" }, { "category": "Po", "mappings": { "default": { "default": "tricolon" } }, "key": "205D" }, { "category": "Po", "mappings": { "default": { "default": "vertical four dots" }, "mathspeak": { "default": "vertical-four-dots" } }, "key": "205E" }, { "category": "Sm", "mappings": { "default": { "default": "superscript plus sign", "short": "superscript plus" }, "mathspeak": { "default": "superscript-plus" } }, "key": "207A" }, { "category": "Sm", "mappings": { "default": { "default": "superscript minus", "alternative": "superscript hyphen minus" }, "mathspeak": { "default": "superscript-hyphen-minus" } }, "key": "207B" }, { "category": "Sm", "mappings": { "default": { "default": "superscript equals sign", "short": "superscript equals" }, "mathspeak": { "default": "superscript-equals" } }, "key": "207C" }, { "category": "Ps", "mappings": { "default": { "default": "superscript left parenthesis", "alternative": "superscript opening parenthesis" }, "mathspeak": { "default": "superscript-opening-parenthesis" } }, "key": "207D" }, { "category": "Pe", "mappings": { "default": { "default": "superscript right parenthesis", "alternative": "superscript closing parenthesis" }, "mathspeak": { "default": "superscript-closing-parenthesis" } }, "key": "207E" }, { "category": "Sm", "mappings": { "default": { "default": "subscript plus sign", "short": "subscript plus" }, "mathspeak": { "default": "subscript-plus" } }, "key": "208A" }, { "category": "Sm", "mappings": { "default": { "default": "subscript minus", "alternative": "subscript hyphen minus" }, "mathspeak": { "default": "subscript-hyphen-minus" } }, "key": "208B" }, { "category": "Sm", "mappings": { "default": { "default": "subscript equals sign", "short": "subscript equals" }, "mathspeak": { "default": "subscript-equals" } }, "key": "208C" }, { "category": "Ps", "mappings": { "default": { "default": "subscript left parenthesis", "alternative": "subscript opening parenthesis" }, "mathspeak": { "default": "subscript-opening-parenthesis" } }, "key": "208D" }, { "category": "Pe", "mappings": { "default": { "default": "subscript right parenthesis", "alternative": "subscript closing parenthesis" }, "mathspeak": { "default": "subscript-closing-parenthesis" } }, "key": "208E" }, { "category": "So", "mappings": { "default": { "default": "property line" }, "mathspeak": { "default": "property-line" } }, "key": "214A" }, { "category": "Sm", "mappings": { "default": { "default": "turned ampersand" }, "mathspeak": { "default": "turned-ampersand" } }, "key": "214B" }, { "category": "So", "mappings": { "default": { "default": "per sign", "short": "per" }, "mathspeak": { "default": "per-sign" } }, "key": "214C" }, { "category": "So", "mappings": { "default": { "default": "aktieselskab" } }, "key": "214D" }, { "category": "Ll", "mappings": { "default": { "default": "turned small f" }, "mathspeak": { "default": "turned-small-f" } }, "key": "214E" }, { "category": "Sm", "mappings": { "default": { "default": "for all" }, "mathspeak": { "default": "for-all" } }, "key": "2200" }, { "category": "Sm", "mappings": { "default": { "default": "complement" } }, "key": "2201" }, { "category": "Sm", "mappings": { "default": { "default": "partial differential" }, "mathspeak": { "default": "partial-differential" } }, "key": "2202" }, { "category": "Sm", "mappings": { "default": { "default": "there exists" }, "mathspeak": { "default": "there-exists" } }, "key": "2203" }, { "category": "Sm", "mappings": { "default": { "default": "there does not exist" }, "mathspeak": { "default": "there-does-not-exist" } }, "key": "2204" }, { "category": "Sm", "mappings": { "default": { "default": "empty set" }, "mathspeak": { "default": "empty-set" } }, "key": "2205" }, { "category": "Sm", "mappings": { "default": { "default": "increment" } }, "key": "2206" }, { "category": "Sm", "mappings": { "default": { "default": "nabla" } }, "key": "2207" }, { "category": "Sm", "mappings": { "default": { "default": "element of" }, "mathspeak": { "default": "element-of" } }, "key": "2208" }, { "category": "Sm", "mappings": { "default": { "default": "not an element of" }, "mathspeak": { "default": "not-an-element-of" } }, "key": "2209" }, { "category": "Sm", "mappings": { "default": { "default": "small element of" }, "mathspeak": { "default": "small-element-of" } }, "key": "220A" }, { "category": "Sm", "mappings": { "default": { "default": "contains as member" }, "mathspeak": { "default": "contains-as-member" } }, "key": "220B" }, { "category": "Sm", "mappings": { "default": { "default": "does not contain as member" }, "mathspeak": { "default": "does-not-contain-as-member" } }, "key": "220C" }, { "category": "Sm", "mappings": { "default": { "default": "small contains as member" }, "mathspeak": { "default": "small-contains-as-member" } }, "key": "220D" }, { "category": "Sm", "mappings": { "default": { "default": "end of proof" }, "mathspeak": { "default": "end-of-proof" } }, "key": "220E" }, { "category": "Sm", "mappings": { "default": { "default": "n ary product" }, "mathspeak": { "default": "product" } }, "key": "220F" }, { "category": "Sm", "mappings": { "default": { "default": "n ary coproduct" }, "mathspeak": { "default": "coproduct" } }, "key": "2210" }, { "category": "Sm", "mappings": { "default": { "default": "n ary summation" }, "mathspeak": { "default": "sigma-summation" } }, "key": "2211" }, { "category": "Sm", "mappings": { "default": { "default": "minus sign", "short": "minus" } }, "key": "2212" }, { "category": "Sm", "mappings": { "default": { "default": "minus or plus sign", "short": "minus or plus" }, "mathspeak": { "default": "minus-or-plus" } }, "key": "2213" }, { "category": "Sm", "mappings": { "default": { "default": "dot plus" }, "mathspeak": { "default": "dot-plus" } }, "key": "2214" }, { "category": "Sm", "mappings": { "default": { "default": "division slash" }, "mathspeak": { "default": "division-slash" } }, "key": "2215" }, { "category": "Sm", "mappings": { "default": { "default": "set minus" }, "mathspeak": { "default": "set-minus" } }, "key": "2216" }, { "category": "Sm", "mappings": { "default": { "default": "asterisk operator" }, "mathspeak": { "default": "asterisk" } }, "key": "2217" }, { "category": "Sm", "mappings": { "default": { "default": "ring operator" }, "mathspeak": { "default": "ring" } }, "key": "2218" }, { "category": "Sm", "mappings": { "default": { "default": "bullet operator" }, "mathspeak": { "default": "bullet" } }, "key": "2219" }, { "category": "Sm", "mappings": { "default": { "default": "square root" }, "mathspeak": { "default": "square-root" } }, "key": "221A" }, { "category": "Sm", "mappings": { "default": { "default": "cube root" }, "mathspeak": { "default": "cube-root" } }, "key": "221B" }, { "category": "Sm", "mappings": { "default": { "default": "fourth root" }, "mathspeak": { "default": "fourth-root" } }, "key": "221C" }, { "category": "Sm", "mappings": { "default": { "default": "proportional to" }, "mathspeak": { "default": "proportional-to" } }, "key": "221D" }, { "category": "Sm", "mappings": { "default": { "default": "infinity" } }, "key": "221E" }, { "category": "Sm", "mappings": { "default": { "default": "right angle" }, "mathspeak": { "default": "right-angle" } }, "key": "221F" }, { "category": "Sm", "mappings": { "default": { "default": "angle" } }, "key": "2220" }, { "category": "Sm", "mappings": { "default": { "default": "measured angle" }, "mathspeak": { "default": "measured-angle" } }, "key": "2221" }, { "category": "Sm", "mappings": { "default": { "default": "spherical angle" }, "mathspeak": { "default": "spherical-angle" } }, "key": "2222" }, { "category": "Sm", "mappings": { "default": { "default": "divides", "short": "bar" } }, "key": "2223" }, { "category": "Sm", "mappings": { "default": { "default": "does not divide" }, "mathspeak": { "default": "does-not-divide" } }, "key": "2224" }, { "category": "Sm", "mappings": { "default": { "default": "parallel to" }, "mathspeak": { "default": "parallel-to" } }, "key": "2225" }, { "category": "Sm", "mappings": { "default": { "default": "not parallel to" }, "mathspeak": { "default": "not-parallel-to" } }, "key": "2226" }, { "category": "Sm", "mappings": { "default": { "default": "logical and" }, "mathspeak": { "default": "logical-and" } }, "key": "2227" }, { "category": "Sm", "mappings": { "default": { "default": "logical or" }, "mathspeak": { "default": "logical-or" } }, "key": "2228" }, { "category": "Sm", "mappings": { "default": { "default": "intersection" } }, "key": "2229" }, { "category": "Sm", "mappings": { "default": { "default": "union" } }, "key": "222A" }, { "category": "Sm", "mappings": { "default": { "default": "integral" } }, "key": "222B" }, { "category": "Sm", "mappings": { "default": { "default": "double integral" }, "mathspeak": { "default": "double-integral" } }, "key": "222C" }, { "category": "Sm", "mappings": { "default": { "default": "triple integral" }, "mathspeak": { "default": "triple-integral" } }, "key": "222D" }, { "category": "Sm", "mappings": { "default": { "default": "contour integral" }, "mathspeak": { "default": "contour-integral" } }, "key": "222E" }, { "category": "Sm", "mappings": { "default": { "default": "surface integral" }, "mathspeak": { "default": "surface-integral" } }, "key": "222F" }, { "category": "Sm", "mappings": { "default": { "default": "volume integral" }, "mathspeak": { "default": "volume-integral" } }, "key": "2230" }, { "category": "Sm", "mappings": { "default": { "default": "clockwise integral" }, "mathspeak": { "default": "clockwise-integral" } }, "key": "2231" }, { "category": "Sm", "mappings": { "default": { "default": "clockwise contour integral" }, "mathspeak": { "default": "clockwise-contour-integral" } }, "key": "2232" }, { "category": "Sm", "mappings": { "default": { "default": "anticlockwise contour integral" }, "mathspeak": { "default": "anticlockwise-contour-integral" } }, "key": "2233" }, { "category": "Sm", "mappings": { "default": { "default": "therefore" } }, "key": "2234" }, { "category": "Sm", "mappings": { "default": { "default": "because" } }, "key": "2235" }, { "category": "Sm", "mappings": { "default": { "default": "ratio" } }, "key": "2236" }, { "category": "Sm", "mappings": { "default": { "default": "proportion" } }, "key": "2237" }, { "category": "Sm", "mappings": { "default": { "default": "dot minus" }, "mathspeak": { "default": "dot-minus" } }, "key": "2238" }, { "category": "Sm", "mappings": { "default": { "default": "excess" } }, "key": "2239" }, { "category": "Sm", "mappings": { "default": { "default": "geometric proportion" }, "mathspeak": { "default": "geometric-proportion" } }, "key": "223A" }, { "category": "Sm", "mappings": { "default": { "default": "homothetic" } }, "key": "223B" }, { "category": "Sm", "mappings": { "default": { "default": "tilde operator" }, "mathspeak": { "default": "tilde" } }, "key": "223C" }, { "category": "Sm", "mappings": { "default": { "default": "reversed tilde" }, "mathspeak": { "default": "reversed-tilde" } }, "key": "223D" }, { "category": "Sm", "mappings": { "default": { "default": "inverted lazy s" }, "mathspeak": { "default": "inverted-lazy-s" } }, "key": "223E" }, { "category": "Sm", "mappings": { "default": { "default": "sine wave" }, "mathspeak": { "default": "sine-wave" } }, "key": "223F" }, { "category": "Sm", "mappings": { "default": { "default": "wreath product" }, "mathspeak": { "default": "wreath-product" } }, "key": "2240" }, { "category": "Sm", "mappings": { "default": { "default": "not tilde" }, "mathspeak": { "default": "not-tilde" } }, "key": "2241" }, { "category": "Sm", "mappings": { "default": { "default": "minus tilde" }, "mathspeak": { "default": "minus-tilde" } }, "key": "2242" }, { "category": "Sm", "mappings": { "default": { "default": "asymptotically equals" }, "mathspeak": { "default": "asymptotically-equals" } }, "key": "2243" }, { "category": "Sm", "mappings": { "default": { "default": "not asymptotically equals" }, "mathspeak": { "default": "not-asymptotically-equals" } }, "key": "2244" }, { "category": "Sm", "mappings": { "default": { "default": "approximately equals" }, "mathspeak": { "default": "approximately-equals" } }, "key": "2245" }, { "category": "Sm", "mappings": { "default": { "default": "approximately but not actually equals" }, "mathspeak": { "default": "approximately-but-not-actually-equals" } }, "key": "2246" }, { "category": "Sm", "mappings": { "default": { "default": "neither approximately nor actually equals" }, "mathspeak": { "default": "neither-approximately-nor-actually-equals" } }, "key": "2247" }, { "category": "Sm", "mappings": { "default": { "default": "almost equals" }, "mathspeak": { "default": "almost-equals" } }, "key": "2248" }, { "category": "Sm", "mappings": { "default": { "default": "not almost equals" }, "mathspeak": { "default": "not-almost-equals" } }, "key": "2249" }, { "category": "Sm", "mappings": { "default": { "default": "almost equal or equals" }, "mathspeak": { "default": "almost-equal-or-equal-to" } }, "key": "224A" }, { "category": "Sm", "mappings": { "default": { "default": "triple tilde" }, "mathspeak": { "default": "triple-tilde" } }, "key": "224B" }, { "category": "Sm", "mappings": { "default": { "default": "all equals" }, "mathspeak": { "default": "all-equals" } }, "key": "224C" }, { "category": "Sm", "mappings": { "default": { "default": "equivalent to" }, "mathspeak": { "default": "equivalent-to" } }, "key": "224D" }, { "category": "Sm", "mappings": { "default": { "default": "geometrically equivalent to" }, "mathspeak": { "default": "geometrically-equivalent-to" } }, "key": "224E" }, { "category": "Sm", "mappings": { "default": { "default": "difference between" }, "mathspeak": { "default": "difference-between" } }, "key": "224F" }, { "category": "Sm", "mappings": { "default": { "default": "approaches the limit" }, "mathspeak": { "default": "approaches-the-limit" } }, "key": "2250" }, { "category": "Sm", "mappings": { "default": { "default": "geometrically equals" }, "mathspeak": { "default": "geometrically-equals" } }, "key": "2251" }, { "category": "Sm", "mappings": { "default": { "default": "approximately equals or the image of" }, "mathspeak": { "default": "approximately-equals-or-the-image-of" } }, "key": "2252" }, { "category": "Sm", "mappings": { "default": { "default": "image of or approximately equals" }, "mathspeak": { "default": "image-of-or-approximately-equals" } }, "key": "2253" }, { "category": "Sm", "mappings": { "default": { "default": "colon equals", "alternative": "colon equal" }, "mathspeak": { "default": "colon-equal" } }, "key": "2254" }, { "category": "Sm", "mappings": { "default": { "default": "equals colon", "alternative": "equal colon" }, "mathspeak": { "default": "equal-colon" } }, "key": "2255" }, { "category": "Sm", "mappings": { "default": { "default": "ring in equals" }, "mathspeak": { "default": "ring-in-equals" } }, "key": "2256" }, { "category": "Sm", "mappings": { "default": { "default": "ring equals" }, "mathspeak": { "default": "ring-equals" } }, "key": "2257" }, { "category": "Sm", "mappings": { "default": { "default": "corresponds to" }, "mathspeak": { "default": "corresponds-to" } }, "key": "2258" }, { "category": "Sm", "mappings": { "default": { "default": "estimates" } }, "key": "2259" }, { "category": "Sm", "mappings": { "default": { "default": "equiangular to" }, "mathspeak": { "default": "equiangular-to" } }, "key": "225A" }, { "category": "Sm", "mappings": { "default": { "default": "star equals" }, "mathspeak": { "default": "star-equals" } }, "key": "225B" }, { "category": "Sm", "mappings": { "default": { "default": "delta equals" }, "mathspeak": { "default": "delta-equals" } }, "key": "225C" }, { "category": "Sm", "mappings": { "default": { "default": "equals by definition" }, "mathspeak": { "default": "equals-by-definition" } }, "key": "225D" }, { "category": "Sm", "mappings": { "default": { "default": "measured by" }, "mathspeak": { "default": "measured-by" } }, "key": "225E" }, { "category": "Sm", "mappings": { "default": { "default": "questioned equals" }, "mathspeak": { "default": "questioned-e