Supplemental Mathematical Operators
Range: 2A00–2AFF
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2A00

Supplemental Mathematical Operators

2AFF

2A0 2A1 2A2 2A3 2A4 2A5 2A6 2A7 2A8 2A9 2AA 2AB 2AC 2AD 2AE 2AF0⨀ ⨐ ⨠ ⨰ ⩀ ⩐ ⩠ ⩰ ⪀ ⪐ ⪠ ⪰ ⫀ ⫐ ⫠ ⫰
2A00

1

2A11

2A21

2A31

2A41

2A51

2A61

2A71

2A81

2A91

2AA1

2AB1

2AC1

2AD1

2AE1

2A12

2A22

2A32

2A42

2A52

2A62

2A72

2A82

2A92

2AA2

2AB2

2AC2

2AD2

2AE2

2A13

2A23

2A33

2A43

2A53

2A63

2A73

2A83

2A93

2AA3

2AB3

2AC3

2AD3

2AE3

2A14

2A24

2A34

2A44

2A54

2A64

2A74

2A84

2A94

2AA4

2AB4

2AC4

2AD4

2AE4

2A15

2A25

2A35

2A45

2A55

2A65

2A75

2A85

2A95

2AA5

2AB5

2AC5

2AD5

2AE5

2A16

2A26

2A36

2A46

2A56

2A66

2A76

2A86

2A96

2AA6

2AB6

2AC6

2AD6

2AE6

2A17

2A27

2A37

2A47

2A57

2A67

2A77

2A87

2A97

2AA7

2AB7

2AC7

2AD7

2AE7

2A18

2A28

2A38

2A48

2A58

2A68

2A78

2A88

2A98

2AA8

2AB8

2AC8

2AD8

2AE8

2A19

2A29

2A39

2A49

2A59

2A69

2A79

2A89

2A99

2AA9

2AB9

2AC9

2AD9

2AE9

2A1A

2A2A

2A3A

2A4A

2A5A

2A6A

2A7A

2A8A

2A9A

2AAA

2ABA

2ACA

2ADA

2AEA

2A1B

2A2B

2A3B

2A4B

2A5B

2A6B

2A7B

2A8B

2A9B

2AAB

2ABB

2ACB

2ADB

2AEB

2A1C

2A2C

2A3C

2A4C

2A5C

2A6C

2A7C

2A8C

2A9C

2AAC

2ABC

2ACC

2ADC

2AEC

2A1D

2A2D

2A3D

2A4D

2A5D

2A6D

2A7D

2A8D

2A9D

2AAD

2ABD

2ACD

2ADD

2AED

⨎ ⨞ ⨮ ⨾ ⩎ ⩞ ⩮ ⩾ ⪎ ⪞ ⪮ ⪾⫎ ⫞ ⫮

2A0E

F

2AE0

2AF0

2AF1

2AF2

2AF3

2AF4

2AF5

2AF6

2AF7

2AF8

2AF9

2AFA

2AFB

2AFC

⨍ ⨝⨭ ⨽ ⩍ ⩝ ⩭ ⩽ ⪍ ⪝ ⪭ ⪽⫍⫝ ⫭ ⫽

2A0D

E

2AD0

⨌ ⨜ ⨬ ⨼ ⩌ ⩜ ⩬ ⩼ ⪌ ⪜ ⪬ ⪼ ⫌ ⫝̸ ⫬ ⫼
2A0C

D

2AC0

⨋ ⨛ ⨫ ⨻⩋ ⩛ ⩫ ⩻ ⪋ ⪛ ⪫ ⪻ ⫋ ⫛ ⫫ ⫻
2A0B

C

2AB0

⨊ ⨚ ⨪ ⨺⩊ ⩚ ⩪ ⩺ ⪊ ⪚ ⪪ ⪺ ⫊ ⫚ ⫪ ⫺
2A0A

B

2AA0

⨉ ⨙ ⨩ ⨹ ⩉ ⩙ ⩩ ⩹ ⪉ ⪙ ⪩ ⪹ ⫉ ⫙ ⫩ ⫹
2A09

A

2A90

⨈ ⨘ ⨨ ⨸ ⩈ ⩘ ⩨ ⩸ ⪈ ⪘ ⪨ ⪸ ⫈ ⫘ ⫨ ⫸
2A08

9

2A80

⨇ ⨗ ⨧ ⨷ ⩇ ⩗ ⩧ ⩷ ⪇ ⪗ ⪧ ⪷ ⫇ ⫗ ⫧ ⫷
2A07

8

2A70

⨆ ⨖ ⨦ ⨶ ⩆ ⩖ ⩦⩶⪆ ⪖ ⪦ ⪶ ⫆ ⫖ ⫦ ⫶
2A06

7

2A60

⨅ ⨕ ⨥ ⨵ ⩅ ⩕ ⩥⩵ ⪅ ⪕ ⪥ ⪵ ⫅ ⫕ ⫥ ⫵
2A05

6

2A50

⨄ ⨔ ⨤ ⨴ ⩄ ⩔ ⩤⩴ ⪄ ⪔ ⪤ ⪴ ⫄ ⫔ ⫤ ⫴
2A04

5

2A40

⨃ ⨓ ⨣ ⨳ ⩃ ⩓ ⩣ ⩳ ⪃ ⪓ ⪣ ⪳ ⫃ ⫓ ⫣ ⫳
2A03

4

2A30

⨂ ⨒ ⨢ ⨲ ⩂ ⩒ ⩢ ⩲ ⪂ ⪒ ⪢ ⪲ ⫂ ⫒ ⫢ ⫲
2A02

3

2A20

⨁ ⨑ ⨡ ⨱ ⩁ ⩑ ⩡ ⩱ ⪁ ⪑ ⪡ ⪱ ⫁ ⫑ ⫡ ⫱
2A01

2

2A10

2A1E

2A2E

2A3E

2A4E

2A5E

2A6E

2A7E

2A8E

2A9E

2AAE

2ABE

2ACE

2ADE

2AEE

2AFD

⫾
2AFE

⨏ ⨟ ⨯ ⨿ ⩏ ⩟ ⩯ ⩿ ⪏ ⪟ ⪯ ⪿ ⫏ ⫟ ⫯ ⫿

2A0F

2A1F

2A2F

2A3F

2A4F

2A5F

2A6F

2A7F

2A8F

2A9F

2AAF

2ABF

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

2ACF

2ADF

2AEF

2AFF

295

2A00

Supplemental Mathematical Operators

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
296

2A1F

2A41

⨟

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 foot2A3D ⨽ RIGHTHAND INTERIOR PRODUCT→ 230A ⌊ left floor→ 2319 ⌙ turned not sign
⁓ 2A3D FE00 ⨽ tall variant with narrow foot2A3E ⨾ Z NOTATION RELATIONAL COMPOSITION→ 2A1F ⨟ z notation schema composition
2A3F ⨿ AMALGAMATION OR COPRODUCT→ 2210 ∐ n-ary coproductIntersections 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

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

2A42

Supplemental Mathematical Operators

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 SMASHPRODUCT
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 DOUBLEVERTICAL 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

2A8F

⩫

TILDE OPERATOR WITH RISING DOTS
→ 223B ∻ homothetic
2A6C ⩬ SIMILAR MINUS SIMILAR
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 DOTABOVE 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 EQUALABOVE GREATER-THAN→ 22DA ⋚ less-than equal to or greater-than
2A8C ⪌ GREATER-THAN ABOVE DOUBLE-LINE EQUALABOVE 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 GREATERTHAN

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

297

2A90

2A90

Supplemental Mathematical Operators⪐

GREATER-THAN ABOVE SIMILAR ABOVE LESSTHAN
2A91 ⪑ LESS-THAN ABOVE GREATER-THAN ABOVEDOUBLE-LINE EQUAL
2A92 ⪒ GREATER-THAN ABOVE LESS-THAN ABOVEDOUBLE-LINE EQUAL
2A93 ⪓ LESS-THAN ABOVE SLANTED EQUAL ABOVEGREATER-THAN ABOVE SLANTED EQUAL
2A94 ⪔ GREATER-THAN ABOVE SLANTED EQUALABOVE 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 LESSTHAN
2A9C ⪜ DOUBLE-LINE SLANTED EQUAL TO OR
GREATER-THAN
2A9D ⪝ SIMILAR OR LESS-THAN⁓ 2A9D FE00 ⪝ with similar following the slantof the upper leg
2A9E ⪞ SIMILAR OR GREATER-THAN⁓ 2A9E FE00 ⪞ with similar following the slantof the upper leg
2A9F ⪟ SIMILAR ABOVE LESS-THAN ABOVE EQUALSSIGN
2AA0 ⪠ SIMILAR ABOVE GREATER-THAN ABOVEEQUALS 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 ABOVESLANTED EQUAL
2AA9 ⪩ GREATER-THAN CLOSED BY CURVE ABOVESLANTED 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
298

2AB3
2AB4
2AB5
2AB6
2AB7
2AB8
2AB9
2ABA
2ABB
2ABC

⪳
⪴
⪵
⪶
⪷
⪸
⪹
⪺
⪻
⪼

2ADC

PRECEDES ABOVE EQUALS SIGN
SUCCEEDS ABOVE EQUALS SIGNPRECEDES ABOVE NOT EQUAL TO
SUCCEEDS ABOVE NOT EQUAL TO
PRECEDES ABOVE ALMOST EQUAL TO
SUCCEEDS ABOVE ALMOST EQUAL TO
PRECEDES ABOVE NOT ALMOST EQUAL TO
SUCCEEDS ABOVE NOT ALMOST EQUAL TO
DOUBLE PRECEDESDOUBLE 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 ⫙2ADA ⫚
2ADB ⫛
2ADC ⫝̸

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

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

2ADD

2ADD ⫝

Supplemental Mathematical Operators

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 tack2ADF ⫟ SHORT DOWN TACK
→ 22A4 ⊤ down tack2AE0 ⫠ SHORT UP TACK
→ 22A5 ⊥ up tack2AE1 ⫡ 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 LEFTTURNSTILE
2AE6 ⫦ LONG DASH FROM LEFT MEMBER OF DOUBLEVERTICAL→ 22A9 ⊩ forces
2AE7 ⫧ SHORT DOWN TACK WITH OVERBAR→ 22A4 ⊤ down tack→ 2351 ⍑ apl functional symbol up tackoverbar→ 3012 〒 postal mark2AE8 ⫨ SHORT UP TACK WITH UNDERBAR→ 22A5 ⊥ up tack→ 234A ⍊ apl functional symbol down tackunderbar
2AE9 ⫩ SHORT UP TACK ABOVE SHORT DOWN TACK2AEA ⫪ DOUBLE DOWN TACK2AEB ⫫ DOUBLE UP TACK= independence• probability theory
2AEC ⫬ DOUBLE STROKE NOT SIGN
→ 00AC ¬ not sign
2AED ⫭ REVERSED DOUBLE STROKE NOT SIGN
→ 2310 ⌐ reversed not sign

2AFF

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 OREQUAL 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

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 HORIZONTALSTROKE→ 27CA ⟊ vertical bar with horizontal stroke
The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.

299

2A3C

Supplemental Mathematical Operators

2ACC

Standardized Variation Sequences

2A3C⨼ INTERIOR PRODUCT
2A3C⨼ tall variant with narrow foot

2A3C FE00

2A3D⨽ RIGHTHAND INTERIOR PRODUCT
2A3D⨽ tall variant with narrow foot2A3D FE00

2A9D⪝ SIMILAR OR LESS-THAN
2A9D

similar following the slant of the⪝ withupper leg
2A9D FE00

2A9E⪞ SIMILAR OR GREATER-THAN
2A9E

similar following the slant of the⪞ withupper leg
2A9E FE00

2AAC⪬ SMALLER THAN OR EQUAL TO
2AAC⪬ with slanted equal
2AAC FE00

2AAD⪭ LARGER THAN OR EQUAL TO
2AAD⪭ with slanted equal
2AAD FE00

2ACB⫋ SUBSET OF ABOVE NOT EQUAL TO
2ACB⫋ with stroke through bottom members
2ACB FE00

2ACC⫌ SUPERSET OF ABOVE NOT EQUAL TO
2ACC⫌ with stroke through bottom members
2ACC FE00

300

The Unicode Standard, Version 16.0, Copyright © 1991-2024 Unicode, Inc. All rights reserved.