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Line 1: [[File:0009-cmls-2012_preview_ecran.jpg\|thumb\|300px\|Blackboard at the Laurent Schwartz Center for Mathematics, [[École Polytechnique]]]] {{redirect\|⊙\|the similar symbol <big>☉</big>\|Solar symbol}} {{redirect\|⊞\|the key\|Windows key}} {{SpecialChars}} The [[Unicode]] Standard encodes almost all standard characters used in mathematics.<ref name="utr25">{{cite web \| title = Unicode Technical Report #25: Unicode Support for Mathematics \| publisher = The Unicode Consortium \| date = 2 April 2012 \| url = http://www.unicode.org/reports/tr25/ \| format = PDF \| accessdate = 14 August 2014}}</ref> ~~'''[[Unicode]]''' ranges '''[[mathematical operators]] and [[mathematical symbols\|symbols]]''' in multiple [[Unicode block\|blocks]]:~~ Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation.<ref name="utr25"/> * [[Mathematical Operators]] (U+2200–U+22FF) Mathematical [[Operator (mathematics)\|operators]] and [[List of mathematical symbols\|symbols]] are in multiple [[Unicode block\|Unicode blocks]]. Some of these blocks are dedicated to, or primarily contain, mathematical characters while others are a mix of mathematical and non-mathematical characters. This article covers all Unicode characters with a derived property of "Math".<ref>{{cite web \| title = Unicode Character Database: Derived Core Properties \| publisher = The Unicode Consortium \| date = 19 February 2014 \| url = http://www.unicode.org/Public/UCD/latest/ucd/DerivedCoreProperties.txt \| accessdate = 14 August 2014 * [[Miscellaneous Mathematical Symbols-A]] (U+27C0–U+27EF) }}</ref><ref>{{cite web \| title = Unicode Technical Annex #44: Unicode Character Database \| publisher = The Unicode Consortium \| date = 25 September 2013 \| url = http://www.unicode.org/reports/tr44/ \| format = PDF \| accessdate = 14 August 2014}}</ref> * [[Miscellaneous Mathematical Symbols-B]] (U+2980–U+29FF) * [[Supplemental Mathematical Operators]] (U+2A00–U+2AFF) * [[Letterlike Symbols]] (U+2100–U+214F) * [[Miscellaneous Technical]] (U+2308–U+230B) * [[Geometric Shapes]] (U+25A0–U+25FF) * [[Miscellaneous Symbols and Arrows]] (U+2B30–U+2B4C) <!-- todo check Arrows-A -B Aug 2010--> * [[Mathematical Alphanumeric Symbols]] (1D400–1D7FF) <!-- note that capitalization below intentionally uses Unicode block name capitalization instead of the normal Wikipedia title case for headings --> ~~== Mathematical Operators ==~~ ~~[[Mathematical Operators]] (U+2200–U+22FF)~~ ==Dedicated blocks== ===Mathematical Operators block=== {{Main\|Mathematical Operators\|l1=Mathematical Operators (Unicode block)}} The Mathematical Operators block (U+2200–U+22FF) contains characters for mathematical, logical, and set notation. {{Unicode chart Mathematical Operators}} == ~~Miscellaneous~~=Supplemental Mathematical ~~Symbols-A~~Operators block=== {{Main\|Supplemental Mathematical Operators\|l1=Supplemental Mathematical Operators (Unicode block)}} ~~[[Miscellaneous Mathematical Symbols-A]] (U+27C0–U+27EF)~~ The Supplemental Mathematical Operators block (U+2A00–U+2AFF) contains various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relations. {{Unicode chart Supplemental Mathematical Operators}} ~~{{Unicode~~===<span ~~chart~~id="Mathematical ~~Miscellaneous~~Alphanumeric Symbols block" />Mathematical Alphanumeric Symbols~~-A}}~~ block=== {{Main\|Mathematical Alphanumeric Symbols\|l1=Mathematical Alphanumeric Symbols (Unicode block)}} The Mathematical Alphanumeric Symbols block (U+1D400–U+1D7FF) contains Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles. The "holes" in the alphabetic ranges are filled by previously defined characters in the Letterlike Symbols block [[#Letterlike Symbols block\|shown below]]. {{Unicode chart Mathematical Alphanumeric Symbols}} ===<span ~~Miscellaneous~~id="Letterlike ~~Mathematical~~Symbols block" />Letterlike Symbols-B block=== {{Main\|Letterlike Symbols\|l1=Letterlike Symbols (Unicode block)}} ~~[[Miscellaneous Mathematical Symbols-B]] (U+2980–U+29FF)~~ The Letterlike Symbols block (U+2100–U+214F) includes variables. Most alphabetic math symbols are in the Mathematical Alphanumeric Symbols block [[#Mathematical Alphanumeric Symbols block\|shown above]]. The math subset of this block is U+2102, U+2107, U+210A–U+2113, U+2115, U+2118–U+2119, U+2124, U+2128–U+2129, U+212C, U+212F, U+2133, U+2135, U+213C–U+2149, and U+214B. {{Unicode chart Letterlike Symbols}} ===Miscellaneous Mathematical Symbols-A block=== {{Main\|Miscellaneous Mathematical Symbols-A\|l1=Miscellaneous Mathematical Symbols-A (Unicode block)}} The Miscellaneous Mathematical Symbols-A block (U+27C0–U+27EF) contains characters for mathematical, logical, and database notation. {{Unicode chart Miscellaneous Mathematical Symbols-A}} ===Miscellaneous Mathematical Symbols-B block=== {{Main\|Miscellaneous Mathematical Symbols-B\|l1=Miscellaneous Mathematical Symbols-B (Unicode block)}} The Miscellaneous Mathematical Symbols-B block (U+2980–U+29FF) contains miscellaneous mathematical symbols, including brackets, angles, and circle symbols. {{Unicode chart Miscellaneous Mathematical Symbols-B}} ===Miscellaneous Technical block=== ~~== Supplemental Mathematical Operators ==~~ {{Main\|Miscellaneous Technical\|l1=Miscellaneous Technical (Unicode block)}} ~~[[Supplemental Mathematical Operators]] (U+2A00–U+2AFF)~~ The Miscellaneous Technical block (U+2300–U+23FF) includes braces and operators. ~~{{Unicode chart Supplemental Mathematical Operators}}~~ The math subset of this block is U+2308–U+230B, U+2320-U+2321, U+237C, U+239B-U+23B5, 23B7, U+23D0, and U+23DC-U+23E2. ~~== Letterlike Symbols ==~~ {{Unicode chart Miscellaneous Technical}} ~~[[Letterlike Symbols]] (U+2100–U+214F)~~ ~~{{Unicode chart Letterlike Symbols}}~~ ===Geometric Shapes block=== {{Main\|Geometric Shapes\|l1=Geometric Shapes (Unicode block)}} The Geometric Shapes block (U+25A0–U+25FF) contains geometric shape symbols. The math subset of this block is U+25A0–25A1, U+25AE–25B7, U+25BC–25C1, U+25C6–25C7, U+25CA–25CB, U+25CF–25D3, U+25E2, U+25E4, U+25E7–25EC, and U+25F8–25FF. {{Unicode chart Geometric Shapes}} ===Miscellaneous Symbols and Arrows block=== {{Main\|Miscellaneous Symbols and Arrows\|l1=Miscellaneous Symbols and Arrows (Unicode block)}} The Miscellaneous Symbols and Arrows block (U+2B00–U+2BFF Arrows) contains arrows and geometric shapes with various fills. The math subset of this block is U+2B30–2B44 and U+2B47–2B4C. {{Unicode chart Miscellaneous Symbols and Arrows}} ===Arrows block=== {{Main\|Arrows (Unicode block)}} The Arrows block (U+2190–U+21FF) contains line, curve, and semicircle arrows and arrow-like operators. {{Unicode chart Arrows}} ===Supplemental Arrows-A block=== {{Main\|Supplemental Arrows-A\|l1=Supplemental Arrows-A (Unicode block)}} The Supplemental Arrows-A block (U+27F0–U+27FF) contains arrows and arrow-like operators. {{Unicode chart Supplemental Arrows-A}} ===Supplemental Arrows-B block=== {{Main\|Supplemental Arrows-B\|l1=Supplemental Arrows-B (Unicode block)}} The Supplemental Arrows-B block (U+2900–U+297F) contains arrows and arrow-like operators (arrow tails, crossing arrows, curved arrows, and harpoons). {{Unicode chart Supplemental Arrows-B}} ===Combining Diacritical Marks for Symbols block=== {{Main\|Combining Diacritical Marks for Symbols\|l1=Combining Diacritical Marks for Symbols (Unicode block)}} The Combining Diacritical Marks for Symbols block contains arrows, dots, enclosures, and overlays for modifying symbol characters. The math subset of this block is U+20D0–U+20DC, U+20E1, U+20E5–U+20E6, and U+20EB–U+20EF. {{Unicode chart Combining Diacritical Marks for Symbols}} ===Arabic Mathematical Alphabetic Symbols block=== {{Main\|Arabic Mathematical Alphabetic Symbols\|l1=Arabic Mathematical Alphabetic Symbols block}} The Arabic Mathematical Alphabetic Symbols block (U+1EE00–U+1EEFF) contains characters used in Arabic mathematical expressions. {{Unicode chart Arabic Mathematical Alphabetic Symbols}} ==Characters in other blocks== Mathematical characters also appear in other blocks. Below is a list of these characters as of Unicode version 7.0: {\| \|- style="vertical-align:top;" \| <!-- newspaper column 1 --> [[Basic Latin (Unicode block)\|Basic Latin block]] U+002B PLUS SIGN: {{Large\|+}} U+003C LESS-THAN SIGN: {{Large\|<}} U+003D EQUALS SIGN: {{Large\|1==}} U+003E GREATER-THAN SIGN: {{Large\|>}} U+005E CIRCUMFLEX ACCENT: {{Large\|^}} U+007C VERTICAL LINE: {{Large\|{{!}}}} U+007E TILDE: {{Large\|~}} [[Latin-1 Supplement (Unicode block)\|Latin-1 Supplement block]] U+00AC NOT SIGN: {{Large\|¬}} U+00B1 PLUS-MINUS SIGN: {{Large\|±}} U+00D7 MULTIPLICATION SIGN: {{Large\|×}} U+00F7 DIVISION SIGN: {{Large\|÷}} [[Greek and Coptic\|Greek and Coptic block]]: U+03D0 GREEK BETA SYMBOL: {{Large\|ϐ}} U+03D1 GREEK THETA SYMBOL: {{Large\|ϑ}} U+03D2 GREEK UPSILON WITH HOOK SYMBOL: {{Large\|ϒ}} U+03D5 GREEK PHI SYMBOL: {{Large\|ϕ}} U+03F0 GREEK KAPPA SYMBOL: {{Large\|ϰ}} U+03F1 GREEK RHO SYMBOL: {{Large\|ϱ}} U+03F4 GREEK CAPITAL THETA SYMBOL: {{Large\|ϴ}} U+03F5 GREEK LUNATE EPSILON SYMBOL: {{Large\|ϵ}} U+03F6 GREEK REVERSED LUNATE EPSILON SYMBOL: {{Large\|϶}} [[Arabic (Unicode block)\|Arabic block]] U+0606 ARABIC-INDIC CUBE ROOT: {{Large\|؆}} U+0607 ARABIC-INDIC FOURTH ROOT: {{Large\|؇}} *U+0608 ARABIC RAY: {{Large\|؈}} [[General Punctuation (Unicode block)\|General Punctuation block]]: U+2016 DOUBLE VERTICAL LINE: {{Large\|‖}} U+2032 PRIME: {{Large\|′}} U+2033 DOUBLE PRIME: {{Large\|″}} U+2034 TRIPLE PRIME: {{Large\|‴}} U+2040 CHARACTER TIE: {{Large\|⁀}} U+2044 FRACTION SLASH: {{Large\|⁄}} U+2052 COMMERCIAL MINUS SIGN: {{Large\|⁒}} U+2061 FUNCTION APPLICATION (non-marking character) U+2062 INVISIBLE TIMES (non-marking character) U+2063 INVISIBLE SEPARATOR (non-marking character) *U+2064 INVISIBLE PLUS (non-marking character) \| <!-- newspaper column 2 --> [[Superscripts and Subscripts\|Superscripts and Subscripts block]]: U+207A SUPERSCRIPT PLUS SIGN: {{Large\|⁺}} U+207B SUPERSCRIPT MINUS: {{Large\|⁻}} U+207C SUPERSCRIPT EQUALS SIGN: {{Large\|⁼}} U+207D SUPERSCRIPT LEFT PARENTHESIS: {{Large\|⁽}} U+207E SUPERSCRIPT RIGHT PARENTHESIS: {{Large\|⁾}} U+208A SUBSCRIPT PLUS SIGN: {{Large\|₊}} U+208B SUBSCRIPT MINUS: {{Large\|₋}} U+208C SUBSCRIPT EQUALS SIGN: {{Large\|₌}} U+208D SUBSCRIPT LEFT PARENTHESIS: {{Large\|₍}} U+208E SUBSCRIPT RIGHT PARENTHESIS: {{Large\|₎}} [[Miscellaneous Symbols\|Miscellaneous Symbols block]]: U+2605 BLACK STAR: {{Large\|★}} U+2606 WHITE STAR: {{Large\|☆}} U+2640 FEMALE SIGN: {{Large\|♀}} U+2642 MALE SIGN: {{Large\|♂}} U+2660 BLACK SPADE SUIT: {{Large\|♠}} U+2661 WHITE HEART SUIT: {{Large\|♡}} U+2662 WHITE DIAMOND SUIT: {{Large\|♢}} U+2663 BLACK CLUB SUIT: {{Large\|♣}} U+266D MUSIC FLAT SIGN: {{Large\|♭}} U+266E MUSIC NATURAL SIGN: {{Large\|♮}} U+266F MUSIC SHARP SIGN: {{Large\|♯}} [[Alphabetic Presentation Forms\|Alphabetic Presentation Forms block]]: *U+FB29 HEBREW LETTER ALTERNATIVE PLUS SIGN: {{Large\|﬩}} [[Small Form Variants\|Small Form Variants block]]: U+FE61 SMALL ASTERISK: {{Large\|﹡}} U+FE62 SMALL PLUS SIGN: {{Large\|﹢}} U+FE63 SMALL HYPHEN-MINUS: {{Large\|﹣}} U+FE64 SMALL LESS-THAN SIGN: {{Large\|﹤}} U+FE65 SMALL GREATER-THAN SIGN: {{Large\|﹥}} U+FE66 SMALL EQUALS SIGN: {{Large\|﹦}} *U+FE68 SMALL REVERSE SOLIDUS: {{Large\|﹨}} [[Halfwidth and fullwidth forms\|Halfwidth and Fullwidth Forms block]]: U+FF0B FULLWIDTH PLUS SIGN: {{Large\|＋}} U+FF1C FULLWIDTH LESS-THAN SIGN: {{Large\|＜}} U+FF1D FULLWIDTH EQUALS SIGN: {{Large\|＝}} U+FF1E FULLWIDTH GREATER-THAN SIGN: {{Large\|＞}} U+FF3C FULLWIDTH REVERSE SOLIDUS: {{Large\|＼}} U+FF3E FULLWIDTH CIRCUMFLEX ACCENT: {{Large\|＾}} U+FF5C FULLWIDTH VERTICAL LINE: {{Large\|｜}} U+FF5E FULLWIDTH TILDE: {{Large\|～}} U+FFE2 FULLWIDTH NOT SIGN: {{Large\|￢}} U+FFE9 HALFWIDTH LEFTWARDS ARROW: {{Large\|￩}} U+FFEA HALFWIDTH UPWARDS ARROW: {{Large\|￪}} U+FFEB HALFWIDTH RIGHTWARDS ARROW: {{Large\|￫}} *U+FFEC HALFWIDTH DOWNWARDS ARROW: {{Large\|￬}} \|} == See also == [[Unicode symbols]] * [[Miscellaneous Symbols]] (Unicode block) * [[Miscellaneous Technical]] (Unicode block) * [[Wikipedia:Mathematical symbols]] * [[List of logic symbols]] * [[Mathematical Alphanumeric Symbols]] ([[Mathematical Alphanumeric Symbols#Greek_letters_and_symbols\|Greek letters and symbols]]) == ~~External links~~References == {{reflist}} * [http://mathsymbols.net/ Mathematical Unicode Text Editor] ~~For images of glyphs in HTML tables, see~~ * [http://www.w3.org/TR/MathML2/022.html U2200] * [http://www.w3.org/TR/MathML2/027.html U2700] * [http://www.w3.org/TR/MathML2/029.html U2900] * [http://www.w3.org/TR/MathML2/02A.html U2A00] ~~This has some additional useful math Unicode symbols not currently listed above~~ * [http://www.fileformat.info/info/unicode/category/Sm/list.htm] == External links == {{cite book \| title = Mathematical Markup Language (MathML) W3C Recommendation \| publisher = W3C \| version = 3.0 \| edition = 2nd \| date = 10 April 2014 \| url = http://www.w3.org/TR/MathML/}} Images of glyphs in [http://www.w3.org/TR/MathML2/chapter6.html#chars.16x16-tables section 6.3.3] of the {{cite book \| title = Mathematical Markup Language (MathML) W3C Recommendation \| publisher = W3C \| version = 2.0 \| edition = 2nd \| date = 21 February 2001 \| url = http://www.w3.org/TR/2001/REC-MathML2-20010221/}} {{Unicode navigation}} [[Category:Unicode blocks\|Mathematical operators]] [[Category:Mathematical symbols\| ]]

Mathematical operators and symbols in Unicode: Difference between revisions