Alan Wood’s Unicode Resources

Test for Unicode support in Web browsers

Mathematical Operators

U+2200 – U+22FF   (8704–8959)

The plus sign (43) is in the Basic Latin range; the plus-minus sign (177), multiplication sign (215) and the division sign (247) are in the Latin-1 Supplement range. Characters 8706, 8710, 8719, 8721, 8722, 8725, 8729, 8730, 8734, 8735, 8745, 8747, 8776, 8800, 8801, 8804 and 8805 are present in Microsoft’s WGL4 character set. Characters 8706, 8710, 8719, 8721, 8730, 8734, 8747, 8776, 8800, 8804 and 8805 provide Unicode equivalents for some of the characters in Apple’s MacRoman character set.

This range provides Unicode equivalents for some of the characters in Monotype’s Symbol font. Other mathematical operators can be found in the Supplemental Mathematical Operators range.

The characters that appear in the first column of the following table depend on the browser that you are using, the fonts installed on your computer, and the browser options you have chosen that determine the fonts used to display particular character sets, encodings or languages. The entries in the “Entity” column are character entity references that can be used in HTML pages.

You can find some or all of the characters in this range in the Windows Unicode fonts Alexander, Alfios, Alkaios, ALPHABETUM Unicode, Anaktoria, Andale Mono (few), Andika Basic, AR PL ShanHeiSun Uni, AR PL ZenKai Uni, Arev Sans, Arial, Arial Unicode MS, Aroania, Atavyros, AttikaU, Avdira, BabelStone Han, Baekmuk Batang, Baekmuk Dotum, Baekmuk Gulim, Baekmuk Headline, Batang, BatangChe, Berling Antiqua, BosporosU, BPG Paata Khutsuri U, Calibri, Cambria Math, Candara, Cardo, Caslon, Century, Chandas, Charis SIL, Chrysanthi Unicode, CN-Arial, CN-Times, Code2000, Consolas, Constantia, Corbel, Courier MonoThai, Courier New, DejaVu Sans, DejaVu Sans Condensed, DejaVu Sans Mono, DejaVu Serif, DejaVu Serif Condensed, Dialekt Uni, Doulos SIL, e-PhonTranslit UNI, EversonMono, Fixedsys Excelsior, FMBF Bardi, Free Idg Serif, Free Monospaced, Free Sans, Free Serif, Frutiger Linotype, Gandhari Unicode (few), Garava, Georgia (few), GFS Bodoni, GFS Didot, GFS Neohellenic, Gulim Che, Gungsuh, GungsuhChe, HAN NOM A, HAN NOM B, Hindsight Unicode, HY Shin Myeongjo Std Acro, Impact, jGaramond, Jomolhari, Junicode, KadmosU, Khmer OS, Khmer OS Fasthand, Khmer OS Freehand, Khmer OS Metal Chrieng, Khmer OS Muol, Khmer OS System, Kidprint, Kliment Std, Kochi Gothic, Kochi Mincho, Kozuka Mincho Pro Acro, LeedsUni, Legendum, Linux Biolinum O, Linux Libertine O, Lucida Bright, Lucida Grande, Lucida Sans, Lucida Sans Typewriter, Lucida Console (few), Lucida Sans Unicode, Malgun Gothic, Marin, MD King KhammuRabi, MgOpen Canonica, Microsoft Sans Serif, Ming(for ISO10646), MingLiU, MingLiU_HKSCS, Minion Pro, Monospace, MPH 2B Damase, MS Gothic, MS Mincho, MS PGothic, MS PMincho, MS Reference Sans Serif, MS Reference Serif, MS UI Gothic, MSung Std Acro, MyMyanmar, Myriad Pro, New Athena Unicode, New Gulim, NSimSun, NSimSun-18030, OpenSymbol, PakType Naqsh, Palatino Linotype, ParabaikSans, PMingLiU, Quivira, Reader Sans, RomanCyrillic Std, Roman Unicode, Rupakara (few), Sazanami Gothic, Sazanami Mincho, Segoe Print, Segoe Script, Segoe UI, SimHei, SImPL, SimSun, SimSun-18030, sixpack, Sophia Nubian (few), StarSymbol, STIXGeneral, STSong Std Acro, Sun-ExtA, Symbola, Tahoma (few), Tibetan Machine Uni, Times New Roman, TITUS Cyberbit Basic, Trebuchet MS (few), TSC FMing S TT, TSC JSong S TT, UnBatang, UniBurma, Uttara (few), Verajja, Verdana, WenQuanYi Zen Hei, WenQuanYi Zen Hei Mono, XTashi, YOzFontN and Zawgyi-One (few); in the Macintosh OS 9 Unicode fonts Apple Chancery, AppleGothic, Apple LiGothic, Apple LiSung, AppleMyungjo, Beijing, BiauKai, Capitals, Charcoal, Charcoal CE, Chicago, Chicago CE, ChuGothic, Courier, Courier CE, Fang Song, Gadget, Geneva, Geneva CE, Gungseouche, Hei, HeiseiKakuGothic, HeiseiMincho, Helvetica, Helvetica CE, Hoefler Text, Kai, Monaco, Monaco CE, New York, Osaka, Osaka-Mono, Palatino, Palatino CE, Pilgiche, Sand, SaiMincho, Seoul, Skia, Song, Tahoma, Taipei, Techno, Texile, Times and Times CE; in the Macintosh OS X Unicode fonts Alkaios, AppleGothic, Apple LiGothic, Apple LiSung, AppleMyungjo, Apple Symbols, Arial, Ayuthya, Batang, Beijing, BiauKai, Century, Chalkboard, Charcoal, Chicago, Courier, Didot, Fang Song, Futura, Geneva, #GothicMedium, Gulim, #GungSeo, Hangang, Hei, Helvetica, Hiragino Kaku Gothic Pro, Hiragino Kaku Gothic Std, Hiragino Maru Gothic Pro, Hiragino Mincho Pro, Junicode, Kai, Krungthep, Lucida Grande, Monaco, MS Gothic, MS Mincho, MS PGothic, MS PMincho, #MyungjoNeue, New Athena Unicode, New York, Osaka, Osaka-Mono, #PCMyungjo, #PilGi, PMingLiU, Sand, Sathu, Seoul, Silom, SimSun, Skia, Song, STFangsong, STHeiti, STKaiti, STSong, Symbol, #TaeGraphic, Taipei, TektonPro, Thonburi, Times, Times New Roman, Trebuchet MS, Verdana, Zapfino and Zuzumbo; and in the Unix Unicode font Caslon.

To see exactly which characters are included in a particular font, you can use a utility such as Andrew West’s BabelMap, Apple’s TrueEdit, or WunderMoosen’s FontChecker.

If you are not familiar with the characters, you can check the characters displayed here with the graphical display at http://www.unicode.org/charts/PDF/U2200.pdf.

Character
(decimal)
DecimalCharacter
(hex)
HexEntityName
∀8704∀2200∀FOR ALL   (present in Symbol font)
∁8705∁2201 COMPLEMENT
∂8706∂2202∂PARTIAL DIFFERENTIAL   (present in WGL4, in MacRoman, and in Symbol font)
∃8707∃2203∃THERE EXISTS   (present in Symbol font)
∄8708∄2204 THERE DOES NOT EXIST
∅8709∅2205∅EMPTY SET   (present in Symbol font)
∆8710∆2206 INCREMENT   (present in WGL4 and in MacRoman)
∇8711∇2207∇NABLA   (present in Symbol font)
∈8712∈2208∈ELEMENT OF   (present in Symbol font)
∉8713∉2209∉NOT AN ELEMENT OF   (present in Symbol font)
∊8714∊220A SMALL ELEMENT OF
∋8715∋220B∋CONTAINS AS MEMBER
∌8716∌220C DOES NOT CONTAIN AS MEMBER
∍8717∍220D SMALL CONTAINS AS MEMBER   (present in Symbol font)
∎8718∎220E END OF PROOF
∏8719∏220F∏N-ARY PRODUCT   (present in WGL4, in MacRoman, and in Symbol font)
∐8720∐2210 N-ARY COPRODUCT
∑8721∑2211∑N-ARY SUMMATION   (present in WGL4, in MacRoman, and in Symbol font)
−8722−2212−MINUS SIGN   (present in WGL4 and in Symbol font)
∓8723∓2213 MINUS-OR-PLUS SIGN
∔8724∔2214 DOT PLUS
∕8725∕2215 DIVISION SLASH   (present in WGL4)
∖8726∖2216 SET MINUS
∗8727∗2217∗ASTERISK OPERATOR   (present in Symbol font)
∘8728∘2218 RING OPERATOR
∙8729∙2219 BULLET OPERATOR   (present in WGL4 and in Symbol font)
√8730√221A√SQUARE ROOT   (present in WGL4, in MacRoman, and in Symbol font)
∛8731∛221B CUBE ROOT
∜8732∜221C FOURTH ROOT
∝8733∝221D∝PROPORTIONAL TO   (present in Symbol font)
∞8734∞221E∞INFINITY   (present in WGL4, in MacRoman, and in Symbol font)
∟8735∟221F RIGHT ANGLE   (present in WGL4)
∠8736∠2220∠ANGLE   (present in Symbol font)
∡8737∡2221 MEASURED ANGLE
∢8738∢2222 SPHERICAL ANGLE
∣8739∣2223 DIVIDES
∤8740∤2224 DOES NOT DIVIDE
∥8741∥2225 PARALLEL TO
∦8742∦2226 NOT PARALLEL TO
∧8743∧2227∧LOGICAL AND   (present in Symbol font)
∨8744∨2228∨LOGICAL OR   (present in Symbol font)
∩8745∩2229∩INTERSECTION   (present in WGL4 and in Symbol font)
∪8746∪222A∪UNION   (present in Symbol font)
∫8747∫222B∫INTEGRAL   (present in WGL4, in MacRoman, and in Symbol font)
∬8748∬222C DOUBLE INTEGRAL
∭8749∭222D TRIPLE INTEGRAL
∮8750∮222E CONTOUR INTEGRAL
∯8751∯222F SURFACE INTEGRAL
∰8752∰2230 VOLUME INTEGRAL
∱8753∱2231 CLOCKWISE INTEGRAL
∲8754∲2232 CLOCKWISE CONTOUR INTEGRAL
∳8755∳2233 ANTICLOCKWISE CONTOUR INTEGRAL
∴8756∴2234∴THEREFORE   (present in Symbol font)
∵8757∵2235 BECAUSE
∶8758∶2236 RATIO
∷8759∷2237 PROPORTION
∸8760∸2238 DOT MINUS
∹8761∹2239 EXCESS
∺8762∺223A GEOMETRIC PROPORTION
∻8763∻223B HOMOTHETIC
∼8764∼223C∼TILDE OPERATOR   (present in Symbol font)
∽8765∽223D REVERSED TILDE
∾8766∾223E INVERTED LAZY S
∿8767∿223F SINE WAVE
≀8768≀2240 WREATH PRODUCT
≁8769≁2241 NOT TILDE
≂8770≂2242 MINUS TILDE
≃8771≃2243 ASYMPTOTICALLY EQUAL TO
≄8772≄2244 NOT ASYMPTOTICALLY EQUAL TO
≅8773≅2245≅APPROXIMATELY EQUAL TO   (present in Symbol font)
≆8774≆2246 APPROXIMATELY BUT NOT ACTUALLY EQUAL TO
≇8775≇2247 NEITHER APPROXIMATELY NOR ACTUALLY EQUAL TO
≈8776≈2248≈ALMOST EQUAL TO   (present in WGL4, in MacRoman, and in Symbol font)
≉8777≉2249 NOT ALMOST EQUAL TO
≊8778≊224A ALMOST EQUAL OR EQUAL TO
≋8779≋224B TRIPLE TILDE
≌8780≌224C ALL EQUAL TO
≍8781≍224D EQUIVALENT TO
≎8782≎224E GEOMETRICALLY EQUIVALENT TO
≏8783≏224F DIFFERENCE BETWEEN
≐8784≐2250 APPROACHES THE LIMIT
≑8785≑2251 GEOMETRICALLY EQUAL TO
≒8786≒2252 APPROXIMATELY EQUAL TO OR THE IMAGE OF
≓8787≓2253 IMAGE OF OR APPROXIMATELY EQUAL TO
≔8788≔2254 COLON EQUALS
≕8789≕2255 EQUALS COLON
≖8790≖2256 RING IN EQUAL TO
≗8791≗2257 RING EQUAL TO
≘8792≘2258 CORRESPONDS TO
≙8793≙2259 ESTIMATES
≚8794≚225A EQUIANGULAR TO
≛8795≛225B STAR EQUALS
≜8796≜225C DELTA EQUAL TO
≝8797≝225D EQUAL TO BY DEFINITION
≞8798≞225E MEASURED BY
≟8799≟225F QUESTIONED EQUAL TO
≠8800≠2260≠NOT EQUAL TO   (present in WGL4, in MacRoman, and in Symbol font)
≡8801≡2261≡IDENTICAL TO   (present in WGL4 and in Symbol font)
≢8802≢2262 NOT IDENTICAL TO
≣8803≣2263 STRICTLY EQUIVALENT TO
≤8804≤2264≤LESS-THAN OR EQUAL TO   (present in WGL4, in MacRoman, and in Symbol font)
≥8805≥2265≥GREATER-THAN OR EQUAL TO   (present in WGL4, in MacRoman, and in Symbol font)
≦8806≦2266 LESS-THAN OVER EQUAL TO
≧8807≧2267 GREATER-THAN OVER EQUAL TO
≨8808≨2268 LESS-THAN BUT NOT EQUAL TO
≩8809≩2269 GREATER-THAN BUT NOT EQUAL TO
≪8810≪226A MUCH LESS-THAN
≫8811≫226B MUCH GREATER-THAN
≬8812≬226C BETWEEN
≭8813≭226D NOT EQUIVALENT TO
≮8814≮226E NOT LESS-THAN
≯8815≯226F NOT GREATER-THAN
≰8816≰2270 NEITHER LESS-THAN NOR EQUAL TO
≱8817≱2271 NEITHER GREATER-THAN NOR EQUAL TO
≲8818≲2272 LESS-THAN OR EQUIVALENT TO
≳8819≳2273 GREATER-THAN OR EQUIVALENT TO
≴8820≴2274 NEITHER LESS-THAN NOR EQUIVALENT TO
≵8821≵2275 NEITHER GREATER-THAN NOR EQUIVALENT TO
≶8822≶2276 LESS-THAN OR GREATER-THAN
≷8823≷2277 GREATER-THAN OR LESS-THAN
≸8824≸2278 NEITHER LESS-THAN NOR GREATER-THAN
≹8825≹2279 NEITHER GREATER-THAN NOR LESS-THAN
≺8826≺227A PRECEDES
≻8827≻227B SUCCEEDS
≼8828≼227C PRECEDES OR EQUAL TO
≽8829≽227D SUCCEEDS OR EQUAL TO
≾8830≾227E PRECEDES OR EQUIVALENT TO
≿8831≿227F SUCCEEDS OR EQUIVALENT TO
⊀8832⊀2280 DOES NOT PRECEDE
⊁8833⊁2281 DOES NOT SUCCEED
⊂8834⊂2282⊂SUBSET OF   (present in Symbol font)
⊃8835⊃2283⊃SUPERSET OF   (present in Symbol font)
⊄8836⊄2284⊄NOT A SUBSET OF   (present in Symbol font)
⊅8837⊅2285 NOT A SUPERSET OF
⊆8838⊆2286⊆SUBSET OF OR EQUAL TO   (present in Symbol font)
⊇8839⊇2287⊇SUPERSET OF OR EQUAL TO   (present in Symbol font)
⊈8840⊈2288 NEITHER A SUBSET OF NOR EQUAL TO
⊉8841⊉2289 NEITHER A SUPERSET OF NOR EQUAL TO
⊊8842⊊228A SUBSET OF WITH NOT EQUAL TO
⊋8843⊋228B SUPERSET OF WITH NOT EQUAL TO
⊌8844⊌228C MULTISET
⊍8845⊍228D MULTISET MULTIPLICATION
⊎8846⊎228E MULTISET UNION
⊏8847⊏228F SQUARE IMAGE OF
⊐8848⊐2290 SQUARE ORIGINAL OF
⊑8849⊑2291 SQUARE IMAGE OF OR EQUAL TO
⊒8850⊒2292 SQUARE ORIGINAL OF OR EQUAL TO
⊓8851⊓2293 SQUARE CAP
⊔8852⊔2294 SQUARE CUP
⊕8853⊕2295⊕CIRCLED PLUS   (present in Symbol font)
⊖8854⊖2296 CIRCLED MINUS
⊗8855⊗2297⊗CIRCLED TIMES   (present in Symbol font)
⊘8856⊘2298 CIRCLED DIVISION SLASH
⊙8857⊙2299 CIRCLED DOT OPERATOR
⊚8858⊚229A CIRCLED RING OPERATOR
⊛8859⊛229B CIRCLED ASTERISK OPERATOR
⊜8860⊜229C CIRCLED EQUALS
⊝8861⊝229D CIRCLED DASH
⊞8862⊞229E SQUARED PLUS
⊟8863⊟229F SQUARED MINUS
⊠8864⊠22A0 SQUARED TIMES
⊡8865⊡22A1 SQUARED DOT OPERATOR
⊢8866⊢22A2 RIGHT TACK
⊣8867⊣22A3 LEFT TACK
⊤8868⊤22A4 DOWN TACK
⊥8869⊥22A5⊥UP TACK   (present in Symbol font)
⊦8870⊦22A6 ASSERTION
⊧8871⊧22A7 MODELS
⊨8872⊨22A8 TRUE
⊩8873⊩22A9 FORCES
⊪8874⊪22AA TRIPLE VERTICAL BAR RIGHT TURNSTILE
⊫8875⊫22AB DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
⊬8876⊬22AC DOES NOT PROVE
⊭8877⊭22AD NOT TRUE
⊮8878⊮22AE DOES NOT FORCE
⊯8879⊯22AF NEGATED DOUBLE VERTICAL BAR DOUBLE RIGHT TURNSTILE
⊰8880⊰22B0 PRECEDES UNDER RELATION
⊱8881⊱22B1 SUCCEEDS UNDER RELATION
⊲8882⊲22B2 NORMAL SUBGROUP OF
⊳8883⊳22B3 CONTAINS AS NORMAL SUBGROUP
⊴8884⊴22B4 NORMAL SUBGROUP OF OR EQUAL TO
⊵8885⊵22B5 CONTAINS AS NORMAL SUBGROUP OR EQUAL TO
⊶8886⊶22B6 ORIGINAL OF
⊷8887⊷22B7 IMAGE OF
⊸8888⊸22B8 MULTIMAP
⊹8889⊹22B9 HERMITIAN CONJUGATE MATRIX
⊺8890⊺22BA INTERCALATE
⊻8891⊻22BB XOR
⊼8892⊼22BC NAND
⊽8893⊽22BD NOR
⊾8894⊾22BE RIGHT ANGLE WITH ARC
⊿8895⊿22BF RIGHT TRIANGLE
⋀8896⋀22C0 N-ARY LOGICAL AND
⋁8897⋁22C1 N-ARY LOGICAL OR
⋂8898⋂22C2 N-ARY INTERSECTION
⋃8899⋃22C3 N-ARY UNION
⋄8900⋄22C4 DIAMOND OPERATOR
⋅8901⋅22C5⋅DOT OPERATOR   (present in Symbol font)
⋆8902⋆22C6 STAR OPERATOR
⋇8903⋇22C7 DIVISION TIMES
⋈8904⋈22C8 BOWTIE
⋉8905⋉22C9 LEFT NORMAL FACTOR SEMIDIRECT PRODUCT
⋊8906⋊22CA RIGHT NORMAL FACTOR SEMIDIRECT PRODUCT
⋋8907⋋22CB LEFT SEMIDIRECT PRODUCT
⋌8908⋌22CC RIGHT SEMIDIRECT PRODUCT
⋍8909⋍22CD REVERSED TILDE EQUALS
⋎8910⋎22CE CURLY LOGICAL OR
⋏8911⋏22CF CURLY LOGICAL AND
⋐8912⋐22D0 DOUBLE SUBSET
⋑8913⋑22D1 DOUBLE SUPERSET
⋒8914⋒22D2 DOUBLE INTERSECTION
⋓8915⋓22D3 DOUBLE UNION
⋔8916⋔22D4 PITCHFORK
⋕8917⋕22D5 EQUAL AND PARALLEL TO
⋖8918⋖22D6 LESS-THAN WITH DOT
⋗8919⋗22D7 GREATER-THAN WITH DOT
⋘8920⋘22D8 VERY MUCH LESS-THAN
⋙8921⋙22D9 VERY MUCH GREATER-THAN
⋚8922⋚22DA LESS-THAN EQUAL TO OR GREATER-THAN
⋛8923⋛22DB GREATER-THAN EQUAL TO OR LESS-THAN
⋜8924⋜22DC EQUAL TO OR LESS-THAN
⋝8925⋝22DD EQUAL TO OR GREATER-THAN
⋞8926⋞22DE EQUAL TO OR PRECEDES
⋟8927⋟22DF EQUAL TO OR SUCCEEDS
⋠8928⋠22E0 DOES NOT PRECEDE OR EQUAL
⋡8929⋡22E1 DOES NOT SUCCEED OR EQUAL
⋢8930⋢22E2 NOT SQUARE IMAGE OF OR EQUAL TO
⋣8931⋣22E3 NOT SQUARE ORIGINAL OF OR EQUAL TO
⋤8932⋤22E4 SQUARE IMAGE OF OR NOT EQUAL TO
⋥8933⋥22E5 SQUARE ORIGINAL OF OR NOT EQUAL TO
⋦8934⋦22E6 LESS-THAN BUT NOT EQUIVALENT TO
⋧8935⋧22E7 GREATER-THAN BUT NOT EQUIVALENT TO
⋨8936⋨22E8 PRECEDES BUT NOT EQUIVALENT TO
⋩8937⋩22E9 SUCCEEDS BUT NOT EQUIVALENT TO
⋪8938⋪22EA NOT NORMAL SUBGROUP OF
⋫8939⋫22EB DOES NOT CONTAIN AS NORMAL SUBGROUP
⋬8940⋬22EC NOT NORMAL SUBGROUP OF OR EQUAL TO
⋭8941⋭22ED DOES NOT CONTAIN AS NORMAL SUBGROUP OR EQUAL
⋮8942⋮22EE VERTICAL ELLIPSIS
⋯8943⋯22EF MIDLINE HORIZONTAL ELLIPSIS
⋰8944⋰22F0 UP RIGHT DIAGONAL ELLIPSIS
⋱8945⋱22F1 DOWN RIGHT DIAGONAL ELLIPSIS
⋲8946⋲22F2 ELEMENT OF WITH LONG HORIZONTAL STROKE
⋳8947⋳22F3 ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋴8948⋴22F4 SMALL ELEMENT OF WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋵8949⋵22F5 ELEMENT OF WITH DOT ABOVE
⋶8950⋶22F6 ELEMENT OF WITH OVERBAR
⋷8951⋷22F7 SMALL ELEMENT OF WITH OVERBAR
⋸8952⋸22F8 ELEMENT OF WITH UNDERBAR
⋹8953⋹22F9 ELEMENT OF WITH TWO HORIZONTAL STROKES
⋺8954⋺22FA CONTAINS WITH LONG HORIZONTAL STROKE
⋻8955⋻22FB CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋼8956⋼22FC SMALL CONTAINS WITH VERTICAL BAR AT END OF HORIZONTAL STROKE
⋽8957⋽22FD CONTAINS WITH OVERBAR
⋾8958⋾22FE SMALL CONTAINS WITH OVERBAR
⋿8959⋿22FF Z NOTATION BAG MEMBERSHIP

Copyright © 1999–2010 Alan Wood

The hexadecimal numbers and the character names in the above table are taken from the Unicode 3.2 Character Database, Copyright © 1991–2002 Unicode, Inc., as contained in UnicodeData.txt on the Unicode Web site (http://www.unicode.org/Public/UNIDATA/) in April 2002.

Created 3rd February 1999   Last updated 7th November 2010

HTML 4.01