See also the corresponding code chart.

2A00 Supplemental Mathematical Operators 2AFF

N-ary operators

2A00⨀N-ARY CIRCLED DOT OPERATOR
→ 2299 ⊙ circled dot operator
→ 25C9 ◉ fisheye
2A01⨁N-ARY CIRCLED PLUS OPERATOR
→ 2295 ⊕ circled plus
2A02⨂N-ARY CIRCLED TIMES OPERATOR
→ 2297 ⊗ circled times
→ 2B59 ⭙ heavy circled saltire
2A03⨃N-ARY UNION OPERATOR WITH DOT
→ 228D ⊍ multiset multiplication
2A04⨄N-ARY UNION OPERATOR WITH PLUS
→ 228E ⊎ multiset union
2A05⨅N-ARY SQUARE INTERSECTION OPERATOR
→ 2293 ⊓ square cap
2A06⨆N-ARY SQUARE UNION OPERATOR
→ 2294 ⊔ square cup
2A07⨇TWO LOGICAL AND OPERATOR
= merge
→ 2A55 ⩕ two intersecting logical and
2A08⨈TWO LOGICAL OR OPERATOR
→ 2A56 ⩖ two intersecting logical or
2A09⨉N-ARY TIMES OPERATOR
→ 00D7 × multiplication sign

Summations and integrals

2A0A⨊MODULO TWO SUM
→ 2211 ∑ n-ary summation
2A0B⨋SUMMATION WITH INTEGRAL
2A0C⨌QUADRUPLE INTEGRAL OPERATOR
→ 222D ∭ triple integral
≈ 222B ∫  222B ∫  222B ∫  222B ∫ 
2A0D⨍FINITE PART INTEGRAL
2A0E⨎INTEGRAL WITH DOUBLE STROKE
2A0F⨏INTEGRAL AVERAGE WITH SLASH
2A10⨐CIRCULATION FUNCTION
2A11⨑ANTICLOCKWISE INTEGRATION
2A12⨒LINE INTEGRATION WITH RECTANGULAR PATH AROUND POLE
2A13⨓LINE INTEGRATION WITH SEMICIRCULAR PATH AROUND POLE
2A14⨔LINE INTEGRATION NOT INCLUDING THE POLE
2A15⨕INTEGRAL AROUND A POINT OPERATOR
→ 222E ∮ contour integral
2A16⨖QUATERNION INTEGRAL OPERATOR
2A17⨗INTEGRAL WITH LEFTWARDS ARROW WITH HOOK
2A18⨘INTEGRAL WITH TIMES SIGN
2A19⨙INTEGRAL WITH INTERSECTION
2A1A⨚INTEGRAL WITH UNION
2A1B⨛INTEGRAL WITH OVERBAR
= upper integral
2A1C⨜INTEGRAL WITH UNDERBAR
= lower integral

Miscellaneous large operators

2A1D⨝JOIN
= large bowtie
• relational database theory
→ 22C8 ⋈ bowtie
→ 27D7 ⟗ full outer join
2A1E⨞LARGE LEFT TRIANGLE OPERATOR
• relational database theory
→ 25C1 ◁ white left-pointing triangle
2A1F⨟Z NOTATION SCHEMA COMPOSITION
→ 2A3E ⨾ z notation relational composition
2A20⨠Z NOTATION SCHEMA PIPING
→ 226B ≫ much greater-than
2A21⨡Z NOTATION SCHEMA PROJECTION
→ 21BE ↾ upwards harpoon with barb rightwards

Plus and minus sign operators

2A22⨢PLUS SIGN WITH SMALL CIRCLE ABOVE
2A23⨣PLUS SIGN WITH CIRCUMFLEX ACCENT ABOVE
2A24⨤PLUS SIGN WITH TILDE ABOVE
= positive difference or sum
2A25⨥PLUS SIGN WITH DOT BELOW
→ 2214 ∔ dot plus
2A26⨦PLUS SIGN WITH TILDE BELOW
= sum or positive difference
2A27⨧PLUS SIGN WITH SUBSCRIPT TWO
= nim-addition
2A28⨨PLUS SIGN WITH BLACK TRIANGLE
2A29⨩MINUS SIGN WITH COMMA ABOVE
2A2A⨪MINUS SIGN WITH DOT BELOW
→ 2238 ∸ dot minus
2A2B⨫MINUS SIGN WITH FALLING DOTS
2A2C⨬MINUS SIGN WITH RISING DOTS
2A2D⨭PLUS SIGN IN LEFT HALF CIRCLE
2A2E⨮PLUS SIGN IN RIGHT HALF CIRCLE

Multiplication and division sign operators

2A2F⨯VECTOR OR CROSS PRODUCT
→ 00D7 × multiplication sign
2A30⨰MULTIPLICATION SIGN WITH DOT ABOVE
2A31⨱MULTIPLICATION SIGN WITH UNDERBAR
2A32⨲SEMIDIRECT PRODUCT WITH BOTTOM CLOSED
2A33⨳SMASH PRODUCT
2A34⨴MULTIPLICATION SIGN IN LEFT HALF CIRCLE
2A35⨵MULTIPLICATION SIGN IN RIGHT HALF CIRCLE
2A36⨶CIRCLED MULTIPLICATION SIGN WITH CIRCUMFLEX ACCENT
2A37⨷MULTIPLICATION SIGN IN DOUBLE CIRCLE
2A38⨸CIRCLED DIVISION SIGN

Miscellaneous mathematical operators

2A39⨹PLUS SIGN IN TRIANGLE
2A3A⨺MINUS SIGN IN TRIANGLE
2A3B⨻MULTIPLICATION SIGN IN TRIANGLE
2A3C⨼INTERIOR PRODUCT
→ 230B ⌋ right floor
⁓ 2A3C FE00 ⨼ tall variant with narrow foot
2A3D⨽RIGHTHAND INTERIOR PRODUCT
→ 230A ⌊ left floor
→ 2319 ⌙ turned not sign
⁓ 2A3D FE00 ⨽ tall variant with narrow foot
2A3E⨾Z NOTATION RELATIONAL COMPOSITION
→ 2A1F ⨟ z notation schema composition
2A3F⨿AMALGAMATION OR COPRODUCT
→ 2210 ∐ n-ary coproduct

Intersections and unions

2A40⩀INTERSECTION WITH DOT
→ 2227 ∧ logical and
→ 27D1 ⟑ and with dot
2A41⩁UNION WITH MINUS SIGN
= z notation bag subtraction
→ 228E ⊎ multiset union
2A42⩂UNION WITH OVERBAR
2A43⩃INTERSECTION WITH OVERBAR
2A44⩄INTERSECTION WITH LOGICAL AND
2A45⩅UNION WITH LOGICAL OR
2A46⩆UNION ABOVE INTERSECTION
2A47⩇INTERSECTION ABOVE UNION
2A48⩈UNION ABOVE BAR ABOVE INTERSECTION
2A49⩉INTERSECTION ABOVE BAR ABOVE UNION
2A4A⩊UNION BESIDE AND JOINED WITH UNION
2A4B⩋INTERSECTION BESIDE AND JOINED WITH INTERSECTION
2A4C⩌CLOSED UNION WITH SERIFS
→ 222A ∪ union
2A4D⩍CLOSED INTERSECTION WITH SERIFS
→ 2229 ∩ intersection
2A4E⩎DOUBLE SQUARE INTERSECTION
2A4F⩏DOUBLE SQUARE UNION
2A50⩐CLOSED UNION WITH SERIFS AND SMASH PRODUCT

Logical ands and ors

2A51⩑LOGICAL AND WITH DOT ABOVE
2A52⩒LOGICAL OR WITH DOT ABOVE
2A53⩓DOUBLE LOGICAL AND
2A54⩔DOUBLE LOGICAL OR
2A55⩕TWO INTERSECTING LOGICAL AND
→ 2A07 ⨇ two logical and operator
2A56⩖TWO INTERSECTING LOGICAL OR
→ 2A08 ⨈ two logical or operator
2A57⩗SLOPING LARGE OR
2A58⩘SLOPING LARGE AND
2A59⩙LOGICAL OR OVERLAPPING LOGICAL AND
2A5A⩚LOGICAL AND WITH MIDDLE STEM
2A5B⩛LOGICAL OR WITH MIDDLE STEM
2A5C⩜LOGICAL AND WITH HORIZONTAL DASH
2A5D⩝LOGICAL OR WITH HORIZONTAL DASH
2A5E⩞LOGICAL AND WITH DOUBLE OVERBAR
→ 2306 ⌆ perspective
2A5F⩟LOGICAL AND WITH UNDERBAR
2A60⩠LOGICAL AND WITH DOUBLE UNDERBAR
→ 2259 ≙ estimates
2A61⩡SMALL VEE WITH UNDERBAR
→ 225A ≚ equiangular to
2A62⩢LOGICAL OR WITH DOUBLE OVERBAR
2A63⩣LOGICAL OR WITH DOUBLE UNDERBAR
→ 225A ≚ equiangular to

Miscellaneous mathematical operators

2A64⩤Z NOTATION DOMAIN ANTIRESTRICTION
2A65⩥Z NOTATION RANGE ANTIRESTRICTION
→ 2332 ⌲ conical taper

Relational operators

2A66⩦EQUALS SIGN WITH DOT BELOW
→ 2250 ≐ approaches the limit
2A67⩧IDENTICAL WITH DOT ABOVE
2A68⩨TRIPLE HORIZONTAL BAR WITH DOUBLE VERTICAL STROKE
= identical and parallel to
→ 22D5 ⋕ equal and parallel to
→ 29E5 ⧥ identical to and slanted parallel
2A69⩩TRIPLE HORIZONTAL BAR WITH TRIPLE VERTICAL STROKE
2A6A⩪TILDE OPERATOR WITH DOT ABOVE
2A6B⩫TILDE OPERATOR WITH RISING DOTS
→ 223B ∻ homothetic
2A6C⩬SIMILAR MINUS SIMILAR
⁓ 2A6C FE00 ⩬ using lazy S
2A6D⩭CONGRUENT WITH DOT ABOVE
→ 2245 ≅ approximately equal to
2A6E⩮EQUALS WITH ASTERISK
→ 225B ≛ star equals
2A6F⩯ALMOST EQUAL TO WITH CIRCUMFLEX ACCENT
2A70⩰APPROXIMATELY EQUAL OR EQUAL TO
→ 2245 ≅ approximately equal to
2A71⩱EQUALS SIGN ABOVE PLUS SIGN
• black stands slightly better (chess notation)
2A72⩲PLUS SIGN ABOVE EQUALS SIGN
• white stands slightly better (chess notation)
2A73⩳EQUALS SIGN ABOVE TILDE OPERATOR
2A74⩴DOUBLE COLON EQUAL
≈ 003A :  003A :  003D = 
2A75⩵TWO CONSECUTIVE EQUALS SIGNS
≈ 003D =  003D = 
2A76⩶THREE CONSECUTIVE EQUALS SIGNS
≈ 003D =  003D =  003D = 
2A77⩷EQUALS SIGN WITH TWO DOTS ABOVE AND TWO DOTS BELOW
2A78⩸EQUIVALENT WITH FOUR DOTS ABOVE
2A79⩹LESS-THAN WITH CIRCLE INSIDE
2A7A⩺GREATER-THAN WITH CIRCLE INSIDE
2A7B⩻LESS-THAN WITH QUESTION MARK ABOVE
2A7C⩼GREATER-THAN WITH QUESTION MARK ABOVE
2A7D⩽LESS-THAN OR SLANTED EQUAL TO
→ 2264 ≤ less-than or equal to
2A7E⩾GREATER-THAN OR SLANTED EQUAL TO
→ 2265 ≥ greater-than or equal to
2A7F⩿LESS-THAN OR SLANTED EQUAL TO WITH DOT INSIDE
2A80⪀GREATER-THAN OR SLANTED EQUAL TO WITH DOT INSIDE
2A81⪁LESS-THAN OR SLANTED EQUAL TO WITH DOT ABOVE
2A82⪂GREATER-THAN OR SLANTED EQUAL TO WITH DOT ABOVE
2A83⪃LESS-THAN OR SLANTED EQUAL TO WITH DOT ABOVE RIGHT
2A84⪄GREATER-THAN OR SLANTED EQUAL TO WITH DOT ABOVE LEFT
2A85⪅LESS-THAN OR APPROXIMATE
2A86⪆GREATER-THAN OR APPROXIMATE
2A87⪇LESS-THAN AND SINGLE-LINE NOT EQUAL TO
→ 2268 ≨ less-than but not equal to
2A88⪈GREATER-THAN AND SINGLE-LINE NOT EQUAL TO
→ 2269 ≩ greater-than but not equal to
2A89⪉LESS-THAN AND NOT APPROXIMATE
2A8A⪊GREATER-THAN AND NOT APPROXIMATE
2A8B⪋LESS-THAN ABOVE DOUBLE-LINE EQUAL ABOVE GREATER-THAN
→ 22DA ⋚ less-than equal to or greater-than
2A8C⪌GREATER-THAN ABOVE DOUBLE-LINE EQUAL ABOVE LESS-THAN
→ 22DB ⋛ greater-than equal to or less-than
2A8D⪍LESS-THAN ABOVE SIMILAR OR EQUAL
2A8E⪎GREATER-THAN ABOVE SIMILAR OR EQUAL
2A8F⪏LESS-THAN ABOVE SIMILAR ABOVE GREATER-THAN
2A90⪐GREATER-THAN ABOVE SIMILAR ABOVE LESS-THAN
2A91⪑LESS-THAN ABOVE GREATER-THAN ABOVE DOUBLE-LINE EQUAL
2A92⪒GREATER-THAN ABOVE LESS-THAN ABOVE DOUBLE-LINE EQUAL
2A93⪓LESS-THAN ABOVE SLANTED EQUAL ABOVE GREATER-THAN ABOVE SLANTED EQUAL
2A94⪔GREATER-THAN ABOVE SLANTED EQUAL ABOVE LESS-THAN ABOVE SLANTED EQUAL
2A95⪕SLANTED EQUAL TO OR LESS-THAN
→ 22DC ⋜ equal to or less-than
2A96⪖SLANTED EQUAL TO OR GREATER-THAN
→ 22DD ⋝ equal to or greater-than
2A97⪗SLANTED EQUAL TO OR LESS-THAN WITH DOT INSIDE
2A98⪘SLANTED EQUAL TO OR GREATER-THAN WITH DOT INSIDE
2A99⪙DOUBLE-LINE EQUAL TO OR LESS-THAN
→ 22DC ⋜ equal to or less-than
2A9A⪚DOUBLE-LINE EQUAL TO OR GREATER-THAN
→ 22DD ⋝ equal to or greater-than
2A9B⪛DOUBLE-LINE SLANTED EQUAL TO OR LESS-THAN
2A9C⪜DOUBLE-LINE SLANTED EQUAL TO OR GREATER-THAN
2A9D⪝SIMILAR OR LESS-THAN
⁓ 2A9D FE00 ⪝ with similar following the slant of the upper leg
2A9E⪞SIMILAR OR GREATER-THAN
⁓ 2A9E FE00 ⪞ with similar following the slant of the upper leg
2A9F⪟SIMILAR ABOVE LESS-THAN ABOVE EQUALS SIGN
2AA0⪠SIMILAR ABOVE GREATER-THAN ABOVE EQUALS SIGN
2AA1⪡DOUBLE NESTED LESS-THAN
= absolute continuity
→ 226A ≪ much less-than
2AA2⪢DOUBLE NESTED GREATER-THAN
→ 226B ≫ much greater-than
2AA3⪣DOUBLE NESTED LESS-THAN WITH UNDERBAR
2AA4⪤GREATER-THAN OVERLAPPING LESS-THAN
2AA5⪥GREATER-THAN BESIDE LESS-THAN
2AA6⪦LESS-THAN CLOSED BY CURVE
2AA7⪧GREATER-THAN CLOSED BY CURVE
2AA8⪨LESS-THAN CLOSED BY CURVE ABOVE SLANTED EQUAL
2AA9⪩GREATER-THAN CLOSED BY CURVE ABOVE SLANTED EQUAL
2AAA⪪SMALLER THAN
2AAB⪫LARGER THAN
2AAC⪬SMALLER THAN OR EQUAL TO
⁓ 2AAC FE00 ⪬ with slanted equal
2AAD⪭LARGER THAN OR EQUAL TO
⁓ 2AAD FE00 ⪭ with slanted equal
2AAE⪮EQUALS SIGN WITH BUMPY ABOVE
→ 224F ≏ difference between
2AAF⪯PRECEDES ABOVE SINGLE-LINE EQUALS SIGN
→ 227C ≼ precedes or equal to
2AB0⪰SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN
→ 227D ≽ succeeds or equal to
2AB1⪱PRECEDES ABOVE SINGLE-LINE NOT EQUAL TO
2AB2⪲SUCCEEDS ABOVE SINGLE-LINE NOT EQUAL TO
2AB3⪳PRECEDES ABOVE EQUALS SIGN
2AB4⪴SUCCEEDS ABOVE EQUALS SIGN
2AB5⪵PRECEDES ABOVE NOT EQUAL TO
2AB6⪶SUCCEEDS ABOVE NOT EQUAL TO
2AB7⪷PRECEDES ABOVE ALMOST EQUAL TO
→ 227E ≾ precedes or equivalent to
2AB8⪸SUCCEEDS ABOVE ALMOST EQUAL TO
→ 227F ≿ succeeds or equivalent to
2AB9⪹PRECEDES ABOVE NOT ALMOST EQUAL TO
2ABA⪺SUCCEEDS ABOVE NOT ALMOST EQUAL TO
2ABB⪻DOUBLE PRECEDES
2ABC⪼DOUBLE SUCCEEDS

Subset and superset relations

2ABD⪽SUBSET WITH DOT
2ABE⪾SUPERSET WITH DOT
2ABF⪿SUBSET WITH PLUS SIGN BELOW
2AC0⫀SUPERSET WITH PLUS SIGN BELOW
2AC1⫁SUBSET WITH MULTIPLICATION SIGN BELOW
2AC2⫂SUPERSET WITH MULTIPLICATION SIGN BELOW
2AC3⫃SUBSET OF OR EQUAL TO WITH DOT ABOVE
2AC4⫄SUPERSET OF OR EQUAL TO WITH DOT ABOVE
2AC5⫅SUBSET OF ABOVE EQUALS SIGN
2AC6⫆SUPERSET OF ABOVE EQUALS SIGN
2AC7⫇SUBSET OF ABOVE TILDE OPERATOR
2AC8⫈SUPERSET OF ABOVE TILDE OPERATOR
2AC9⫉SUBSET OF ABOVE ALMOST EQUAL TO
2ACA⫊SUPERSET OF ABOVE ALMOST EQUAL TO
2ACB⫋SUBSET OF ABOVE NOT EQUAL TO
⁓ 2ACB FE00 ⫋ with stroke through bottom members
2ACC⫌SUPERSET OF ABOVE NOT EQUAL TO
⁓ 2ACC FE00 ⫌ with stroke through bottom members
2ACD⫍SQUARE LEFT OPEN BOX OPERATOR
2ACE⫎SQUARE RIGHT OPEN BOX OPERATOR
2ACF⫏CLOSED SUBSET
→ 2282 ⊂ subset of
2AD0⫐CLOSED SUPERSET
→ 2283 ⊃ superset of
2AD1⫑CLOSED SUBSET OR EQUAL TO
2AD2⫒CLOSED SUPERSET OR EQUAL TO
2AD3⫓SUBSET ABOVE SUPERSET
2AD4⫔SUPERSET ABOVE SUBSET
2AD5⫕SUBSET ABOVE SUBSET
2AD6⫖SUPERSET ABOVE SUPERSET
2AD7⫗SUPERSET BESIDE SUBSET
2AD8⫘SUPERSET BESIDE AND JOINED BY DASH WITH SUBSET

Forks

2AD9⫙ELEMENT OF OPENING DOWNWARDS
→ 2208 ∈ element of
→ 27D2 ⟒ element of opening upwards
2ADA⫚PITCHFORK WITH TEE TOP
→ 22D4 ⋔ pitchfork
2ADB⫛TRANSVERSAL INTERSECTION
→ 22D4 ⋔ pitchfork
2ADC⫝̸FORKING
= not independent
• an equational logic symbol, not a computing science symbol
• non-independence (original concept) is related to forking
≡ 2ADD ⫝  0338 ◌̸ 
2ADD⫝NONFORKING
= independent
• an equational logic symbol, not a computing science symbol
• independence (original concept) is related to non-forking

Tacks and turnstiles

2ADE⫞SHORT LEFT TACK
→ 22A3 ⊣ left tack
2ADF⫟SHORT DOWN TACK
→ 22A4 ⊤ down tack
2AE0⫠SHORT UP TACK
→ 22A5 ⊥ up tack
2AE1⫡PERPENDICULAR WITH S
2AE2⫢VERTICAL BAR TRIPLE RIGHT TURNSTILE
= ordinarily satisfies
2AE3⫣DOUBLE VERTICAL BAR LEFT TURNSTILE
→ 22A9 ⊩ forces
2AE4⫤VERTICAL BAR DOUBLE LEFT TURNSTILE
→ 22A8 ⊨ true
2AE5⫥DOUBLE VERTICAL BAR DOUBLE LEFT TURNSTILE
2AE6⫦LONG DASH FROM LEFT MEMBER OF DOUBLE VERTICAL
→ 22A9 ⊩ forces
2AE7⫧SHORT DOWN TACK WITH OVERBAR
→ 22A4 ⊤ down tack
→ 2351 ⍑ apl functional symbol up tack overbar
→ 3012 〒 postal mark
2AE8⫨SHORT UP TACK WITH UNDERBAR
→ 22A5 ⊥ up tack
→ 234A ⍊ apl functional symbol down tack underbar
2AE9⫩SHORT UP TACK ABOVE SHORT DOWN TACK
2AEA⫪DOUBLE DOWN TACK
2AEB⫫DOUBLE UP TACK
= independence
• probability theory
2AEC⫬DOUBLE STROKE NOT SIGN
→ 00AC ¬ not sign
2AED⫭REVERSED DOUBLE STROKE NOT SIGN
→ 2310 ⌐ reversed not sign

Vertical line operators

2AEE⫮DOES NOT DIVIDE WITH REVERSED NEGATION SLASH
→ 2224 ∤ does not divide
2AEF⫯VERTICAL LINE WITH CIRCLE ABOVE
2AF0⫰VERTICAL LINE WITH CIRCLE BELOW
2AF1⫱DOWN TACK WITH CIRCLE BELOW
= necessarily satisfies
→ 27DF ⟟ up tack with circle above
2AF2⫲PARALLEL WITH HORIZONTAL STROKE
→ 2226 ∦ not parallel to
→ 27CA ⟊ vertical bar with horizontal stroke
2AF3⫳PARALLEL WITH TILDE OPERATOR
2AF4⫴TRIPLE VERTICAL BAR BINARY RELATION
= interleave
→ 2980 ⦀ triple vertical bar delimiter
2AF5⫵TRIPLE VERTICAL BAR WITH HORIZONTAL STROKE
→ 27CA ⟊ vertical bar with horizontal stroke

Miscellaneous mathematical operator

2AF6⫶TRIPLE COLON OPERATOR
• logic
→ 205D ⁝ tricolon
→ 22EE ⋮ vertical ellipsis

Relations

2AF7⫷TRIPLE NESTED LESS-THAN
→ 22D8 ⋘ very much less-than
2AF8⫸TRIPLE NESTED GREATER-THAN
→ 22D9 ⋙ very much greater-than
2AF9⫹DOUBLE-LINE SLANTED LESS-THAN OR EQUAL TO
→ 2266 ≦ less-than over equal to
2AFA⫺DOUBLE-LINE SLANTED GREATER-THAN OR EQUAL TO
→ 2267 ≧ greater-than over equal to
2AFB⫻TRIPLE SOLIDUS BINARY RELATION
→ 2AF4 ⫴ triple vertical bar binary relation

Operators

2AFC⫼LARGE TRIPLE VERTICAL BAR OPERATOR
• often n-ary
→ 2AF4 ⫴ triple vertical bar binary relation
→ 2980 ⦀ triple vertical bar delimiter
2AFD⫽DOUBLE SOLIDUS OPERATOR
→ 2225 ∥ parallel to
2AFE⫾WHITE VERTICAL BAR
= Dijkstra choice
2AFF⫿N-ARY WHITE VERTICAL BAR
= n-ary Dijkstra choice