Alan Wood’s Unicode Resources

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Supplemental Mathematical Operators

U+2A00 – U+2AFF   (10752–11007)

The Supplemental Mathematical Operators range was introduced with version 3.2 of the Unicode Standard, and is located in Plane 0, the Basic Multilingual Plane. Other mathematical operators can be found in the Mathematical Operators range.

The characters that appear in the “Character” columns 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.

You can find some or all of the characters in this range in the Windows Unicode fonts Code2000, DejaVu Sans, DejaVu Sans Condensed, EversonMono, Free Serif (few), Quivira, SImPL, sixpack, STIXGeneral, Sun-ExtA, Symbola and YOzFontN; and in the Macintosh OS X Unicode fonts AppleGothic, AppleMyungjo, #GungSeo, #PCMyungjo, #PilGi and Seoul.

To see exactly which characters are included in a particular font, you can use a utility such as Andrew West’s BabelMap, 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/U2A00.pdf.

Character
(decimal)
DecimalCharacter
(hex)
HexName
107522A00N-ARY CIRCLED DOT OPERATOR
107532A01N-ARY CIRCLED PLUS OPERATOR
107542A02N-ARY CIRCLED TIMES OPERATOR
107552A03N-ARY UNION OPERATOR WITH DOT
107562A04N-ARY UNION OPERATOR WITH PLUS
107572A05N-ARY SQUARE INTERSECTION OPERATOR
107582A06N-ARY SQUARE UNION OPERATOR
107592A07TWO LOGICAL AND OPERATOR
107602A08TWO LOGICAL OR OPERATOR
107612A09N-ARY TIMES OPERATOR
107622A0AMODULO TWO SUM
107632A0BSUMMATION WITH INTEGRAL
107642A0CQUADRUPLE INTEGRAL OPERATOR
107652A0DFINITE PART INTEGRAL
107662A0EINTEGRAL WITH DOUBLE STROKE
107672A0FINTEGRAL AVERAGE WITH SLASH
107682A10CIRCULATION FUNCTION
107692A11ANTICLOCKWISE INTEGRATION
107702A12LINE INTEGRATION WITH RECTANGULAR PATH AROUND POLE
107712A13LINE INTEGRATION WITH SEMICIRCULAR PATH AROUND POLE
107722A14LINE INTEGRATION NOT INCLUDING THE POLE
107732A15INTEGRAL AROUND A POINT OPERATOR
107742A16QUATERNION INTEGRAL OPERATOR
107752A17INTEGRAL WITH LEFTWARDS ARROW WITH HOOK
107762A18INTEGRAL WITH TIMES SIGN
107772A19INTEGRAL WITH INTERSECTION
107782A1AINTEGRAL WITH UNION
107792A1BINTEGRAL WITH OVERBAR
107802A1CINTEGRAL WITH UNDERBAR
107812A1DJOIN
107822A1ELARGE LEFT TRIANGLE OPERATOR
107832A1FZ NOTATION SCHEMA COMPOSITION
107842A20Z NOTATION SCHEMA PIPING
107852A21Z NOTATION SCHEMA PROJECTION
107862A22PLUS SIGN WITH SMALL CIRCLE ABOVE
107872A23PLUS SIGN WITH CIRCUMFLEX ACCENT ABOVE
107882A24PLUS SIGN WITH TILDE ABOVE
107892A25PLUS SIGN WITH DOT BELOW
107902A26PLUS SIGN WITH TILDE BELOW
107912A27PLUS SIGN WITH SUBSCRIPT TWO
107922A28PLUS SIGN WITH BLACK TRIANGLE
107932A29MINUS SIGN WITH COMMA ABOVE
107942A2AMINUS SIGN WITH DOT BELOW
107952A2BMINUS SIGN WITH FALLING DOTS
107962A2CMINUS SIGN WITH RISING DOTS
107972A2DPLUS SIGN IN LEFT HALF CIRCLE
107982A2EPLUS SIGN IN RIGHT HALF CIRCLE
107992A2FVECTOR OR CROSS PRODUCT
108002A30MULTIPLICATION SIGN WITH DOT ABOVE
108012A31MULTIPLICATION SIGN WITH UNDERBAR
108022A32SEMIDIRECT PRODUCT WITH BOTTOM CLOSED
108032A33SMASH PRODUCT
108042A34MULTIPLICATION SIGN IN LEFT HALF CIRCLE
108052A35MULTIPLICATION SIGN IN RIGHT HALF CIRCLE
108062A36CIRCLED MULTIPLICATION SIGN WITH CIRCUMFLEX ACCENT
108072A37MULTIPLICATION SIGN IN DOUBLE CIRCLE
108082A38CIRCLED DIVISION SIGN
108092A39PLUS SIGN IN TRIANGLE
108102A3AMINUS SIGN IN TRIANGLE
108112A3BMULTIPLICATION SIGN IN TRIANGLE
108122A3CINTERIOR PRODUCT
108132A3DRIGHTHAND INTERIOR PRODUCT
108142A3EZ NOTATION RELATIONAL COMPOSITION
⨿10815⨿2A3FAMALGAMATION OR COPRODUCT
108162A40INTERSECTION WITH DOT
108172A41UNION WITH MINUS SIGN
108182A42UNION WITH OVERBAR
108192A43INTERSECTION WITH OVERBAR
108202A44INTERSECTION WITH LOGICAL AND
108212A45UNION WITH LOGICAL OR
108222A46UNION ABOVE INTERSECTION
108232A47INTERSECTION ABOVE UNION
108242A48UNION ABOVE BAR ABOVE INTERSECTION
108252A49INTERSECTION ABOVE BAR ABOVE UNION
108262A4AUNION BESIDE AND JOINED WITH UNION
108272A4BINTERSECTION BESIDE AND JOINED WITH INTERSECTION
108282A4CCLOSED UNION WITH SERIFS
108292A4DCLOSED INTERSECTION WITH SERIFS
108302A4EDOUBLE SQUARE INTERSECTION
108312A4FDOUBLE SQUARE UNION
108322A50CLOSED UNION WITH SERIFS AND SMASH PRODUCT
108332A51LOGICAL AND WITH DOT ABOVE
108342A52LOGICAL OR WITH DOT ABOVE
108352A53DOUBLE LOGICAL AND
108362A54DOUBLE LOGICAL OR
108372A55TWO INTERSECTING LOGICAL AND
108382A56TWO INTERSECTING LOGICAL OR
108392A57SLOPING LARGE OR
108402A58SLOPING LARGE AND
108412A59LOGICAL OR OVERLAPPING LOGICAL AND
108422A5ALOGICAL AND WITH MIDDLE STEM
108432A5BLOGICAL OR WITH MIDDLE STEM
108442A5CLOGICAL AND WITH HORIZONTAL DASH
108452A5DLOGICAL OR WITH HORIZONTAL DASH
108462A5ELOGICAL AND WITH DOUBLE OVERBAR
108472A5FLOGICAL AND WITH UNDERBAR
108482A60LOGICAL AND WITH DOUBLE UNDERBAR
108492A61SMALL VEE WITH UNDERBAR
108502A62LOGICAL OR WITH DOUBLE OVERBAR
108512A63LOGICAL OR WITH DOUBLE UNDERBAR
108522A64Z NOTATION DOMAIN ANTIRESTRICTION
108532A65Z NOTATION RANGE ANTIRESTRICTION
108542A66EQUALS SIGN WITH DOT BELOW
108552A67IDENTICAL WITH DOT ABOVE
108562A68TRIPLE HORIZONTAL BAR WITH DOUBLE VERTICAL STROKE
108572A69TRIPLE HORIZONTAL BAR WITH TRIPLE VERTICAL STROKE
108582A6ATILDE OPERATOR WITH DOT ABOVE
108592A6BTILDE OPERATOR WITH RISING DOTS
108602A6CSIMILAR MINUS SIMILAR
108612A6DCONGRUENT WITH DOT ABOVE
108622A6EEQUALS WITH ASTERISK
108632A6FALMOST EQUAL TO WITH CIRCUMFLEX ACCENT
108642A70APPROXIMATELY EQUAL OR EQUAL TO
108652A71EQUALS SIGN ABOVE PLUS SIGN
108662A72PLUS SIGN ABOVE EQUALS SIGN
108672A73EQUALS SIGN ABOVE TILDE OPERATOR
108682A74DOUBLE COLON EQUAL
108692A75TWO CONSECUTIVE EQUALS SIGNS
108702A76THREE CONSECUTIVE EQUALS SIGNS
108712A77EQUALS SIGN WITH TWO DOTS ABOVE AND TWO DOTS BELOW
108722A78EQUIVALENT WITH FOUR DOTS ABOVE
108732A79LESS-THAN WITH CIRCLE INSIDE
108742A7AGREATER-THAN WITH CIRCLE INSIDE
108752A7BLESS-THAN WITH QUESTION MARK ABOVE
108762A7CGREATER-THAN WITH QUESTION MARK ABOVE
108772A7DLESS-THAN OR SLANTED EQUAL TO
108782A7EGREATER-THAN OR SLANTED EQUAL TO
⩿10879⩿2A7FLESS-THAN OR SLANTED EQUAL TO WITH DOT INSIDE
108802A80GREATER-THAN OR SLANTED EQUAL TO WITH DOT INSIDE
108812A81LESS-THAN OR SLANTED EQUAL TO WITH DOT ABOVE
108822A82GREATER-THAN OR SLANTED EQUAL TO WITH DOT ABOVE
108832A83LESS-THAN OR SLANTED EQUAL TO WITH DOT ABOVE RIGHT
108842A84GREATER-THAN OR SLANTED EQUAL TO WITH DOT ABOVE LEFT
108852A85LESS-THAN OR APPROXIMATE
108862A86GREATER-THAN OR APPROXIMATE
108872A87LESS-THAN AND SINGLE-LINE NOT EQUAL TO
108882A88GREATER-THAN AND SINGLE-LINE NOT EQUAL TO
108892A89LESS-THAN AND NOT APPROXIMATE
108902A8AGREATER-THAN AND NOT APPROXIMATE
108912A8BLESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THAN
108922A8CGREATER-THAN ABOVE DOUBLE-LINE EQUAL ABOVE LESS-THAN
108932A8DLESS-THAN ABOVE SIMILAR OR EQUAL
108942A8EGREATER-THAN ABOVE SIMILAR OR EQUAL
108952A8FLESS-THAN ABOVE SIMILAR ABOVE GREATER-THAN
108962A90GREATER-THAN ABOVE SIMILAR ABOVE LESS-THAN
108972A91LESS-THAN ABOVE GREATER-THAN ABOVE DOUBLE-LINE EQUAL
108982A92GREATER-THAN ABOVE LESS-THAN ABOVE DOUBLE-LINE EQUAL
108992A93LESS-THAN ABOVE SLANTED EQUAL ABOVE GREATER-THAN ABOVE SLANTED EQUAL
109002A94GREATER-THAN ABOVE SLANTED EQUAL ABOVE LESS-THAN ABOVE SLANTED EQUAL
109012A95SLANTED EQUAL TO OR LESS-THAN
109022A96SLANTED EQUAL TO OR GREATER-THAN
109032A97SLANTED EQUAL TO OR LESS-THAN WITH DOT INSIDE
109042A98SLANTED EQUAL TO OR GREATER-THAN WITH DOT INSIDE
109052A99DOUBLE-LINE EQUAL TO OR LESS-THAN
109062A9ADOUBLE-LINE EQUAL TO OR GREATER-THAN
109072A9BDOUBLE-LINE SLANTED EQUAL TO OR LESS-THAN
109082A9CDOUBLE-LINE SLANTED EQUAL TO OR GREATER-THAN
109092A9DSIMILAR OR LESS-THAN
109102A9ESIMILAR OR GREATER-THAN
109112A9FSIMILAR ABOVE LESS-THAN ABOVE EQUALS SIGN
109122AA0SIMILAR ABOVE GREATER-THAN ABOVE EQUALS SIGN
109132AA1DOUBLE NESTED LESS-THAN
109142AA2DOUBLE NESTED GREATER-THAN
109152AA3DOUBLE NESTED LESS-THAN WITH UNDERBAR
109162AA4GREATER-THAN OVERLAPPING LESS-THAN
109172AA5GREATER-THAN BESIDE LESS-THAN
109182AA6LESS-THAN CLOSED BY CURVE
109192AA7GREATER-THAN CLOSED BY CURVE
109202AA8LESS-THAN CLOSED BY CURVE ABOVE SLANTED EQUAL
109212AA9GREATER-THAN CLOSED BY CURVE ABOVE SLANTED EQUAL
109222AAASMALLER THAN
109232AABLARGER THAN
109242AACSMALLER THAN OR EQUAL TO
109252AADLARGER THAN OR EQUAL TO
109262AAEEQUALS SIGN WITH BUMPY ABOVE
109272AAFPRECEDES ABOVE SINGLE-LINE EQUALS SIGN
109282AB0SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN
109292AB1PRECEDES ABOVE SINGLE-LINE NOT EQUAL TO
109302AB2SUCCEEDS ABOVE SINGLE-LINE NOT EQUAL TO
109312AB3PRECEDES ABOVE EQUALS SIGN
109322AB4SUCCEEDS ABOVE EQUALS SIGN
109332AB5PRECEDES ABOVE NOT EQUAL TO
109342AB6SUCCEEDS ABOVE NOT EQUAL TO
109352AB7PRECEDES ABOVE ALMOST EQUAL TO
109362AB8SUCCEEDS ABOVE ALMOST EQUAL TO
109372AB9PRECEDES ABOVE NOT ALMOST EQUAL TO
109382ABASUCCEEDS ABOVE NOT ALMOST EQUAL TO
109392ABBDOUBLE PRECEDES
109402ABCDOUBLE SUCCEEDS
109412ABDSUBSET WITH DOT
109422ABESUPERSET WITH DOT
⪿10943⪿2ABFSUBSET WITH PLUS SIGN BELOW
109442AC0SUPERSET WITH PLUS SIGN BELOW
109452AC1SUBSET WITH MULTIPLICATION SIGN BELOW
109462AC2SUPERSET WITH MULTIPLICATION SIGN BELOW
109472AC3SUBSET OF OR EQUAL TO WITH DOT ABOVE
109482AC4SUPERSET OF OR EQUAL TO WITH DOT ABOVE
109492AC5SUBSET OF ABOVE EQUALS SIGN
109502AC6SUPERSET OF ABOVE EQUALS SIGN
109512AC7SUBSET OF ABOVE TILDE OPERATOR
109522AC8SUPERSET OF ABOVE TILDE OPERATOR
109532AC9SUBSET OF ABOVE ALMOST EQUAL TO
109542ACASUPERSET OF ABOVE ALMOST EQUAL TO
109552ACBSUBSET OF ABOVE NOT EQUAL TO
109562ACCSUPERSET OF ABOVE NOT EQUAL TO
109572ACDSQUARE LEFT OPEN BOX OPERATOR
109582ACESQUARE RIGHT OPEN BOX OPERATOR
109592ACFCLOSED SUBSET
109602AD0CLOSED SUPERSET
109612AD1CLOSED SUBSET OR EQUAL TO
109622AD2CLOSED SUPERSET OR EQUAL TO
109632AD3SUBSET ABOVE SUPERSET
109642AD4SUPERSET ABOVE SUBSET
109652AD5SUBSET ABOVE SUBSET
109662AD6SUPERSET ABOVE SUPERSET
109672AD7SUPERSET BESIDE SUBSET
109682AD8SUPERSET BESIDE AND JOINED BY DASH WITH SUBSET
109692AD9ELEMENT OF OPENING DOWNWARDS
109702ADAPITCHFORK WITH TEE TOP
109712ADBTRANSVERSAL INTERSECTION
109722ADCFORKING
109732ADDNONFORKING
109742ADESHORT LEFT TACK
109752ADFSHORT DOWN TACK
109762AE0SHORT UP TACK
109772AE1PERPENDICULAR WITH S
109782AE2VERTICAL BAR TRIPLE RIGHT TURNSTILE
109792AE3DOUBLE VERTICAL BAR LEFT TURNSTILE
109802AE4VERTICAL BAR DOUBLE LEFT TURNSTILE
109812AE5DOUBLE VERTICAL BAR DOUBLE LEFT TURNSTILE
109822AE6LONG DASH FROM LEFT MEMBER OF DOUBLE VERTICAL
109832AE7SHORT DOWN TACK WITH OVERBAR
109842AE8SHORT UP TACK WITH UNDERBAR
109852AE9SHORT UP TACK ABOVE SHORT DOWN TACK
109862AEADOUBLE DOWN TACK
109872AEBDOUBLE UP TACK
109882AECDOUBLE STROKE NOT SIGN
109892AEDREVERSED DOUBLE STROKE NOT SIGN
109902AEEDOES NOT DIVIDE WITH REVERSED NEGATION SLASH
109912AEFVERTICAL LINE WITH CIRCLE ABOVE
109922AF0VERTICAL LINE WITH CIRCLE BELOW
109932AF1DOWN TACK WITH CIRCLE BELOW
109942AF2PARALLEL WITH HORIZONTAL STROKE
109952AF3PARALLEL WITH TILDE OPERATOR
109962AF4TRIPLE VERTICAL BAR BINARY RELATION
109972AF5TRIPLE VERTICAL BAR WITH HORIZONTAL STROKE
109982AF6TRIPLE COLON OPERATOR
109992AF7TRIPLE NESTED LESS-THAN
110002AF8TRIPLE NESTED GREATER-THAN
110012AF9DOUBLE-LINE SLANTED LESS-THAN OR EQUAL TO
110022AFADOUBLE-LINE SLANTED GREATER-THAN OR EQUAL TO
110032AFBTRIPLE SOLIDUS BINARY RELATION
110042AFCLARGE TRIPLE VERTICAL BAR OPERATOR
110052AFDDOUBLE SOLIDUS OPERATOR
110062AFEWHITE VERTICAL BAR
⫿11007⫿2AFFN-ARY WHITE VERTICAL BAR

Copyright © 2002–2010 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 21st April 2002   Last updated 31st May 2010

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