Mathematical Operators (Unicode block)
Mathematical Operators | |
---|---|
Range | U+2200..U+22FF (256 code points) |
Plane | BMP |
Scripts | Common |
Symbol sets | Mathematical symbols Logic and Set operators Relation symbols |
Assigned | 256 code points |
Unused | 0 reserved code points |
Unicode version history | |
1.0.0 (1991) | 242 (+242) |
3.2 (2002) | 256 (+14) |
Unicode documentation | |
Code chart ∣ Web page | |
Note: [1][2] |
Mathematical Operators is a Unicode block containing characters for mathematical, logical, and set notation.
Notably absent are the
Latin-1 Supplement block, although a distinct minus sign (−) is included, semantically different from the Basic Latin hyphen-minus
(-).
Block
Mathematical Operators[1] Official Unicode Consortium code chart (PDF) | ||||||||||||||||
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F | |
U+220x | ∀
|
∁
|
∂ | ∃
|
∄
|
∅
|
∆ | ∇
|
∈
|
∉
|
∊
|
∋
|
∌
|
∍
|
∎
|
∏
|
U+221x | ∐
|
∑
|
−
|
∓
|
∔ | ∕
|
∖
|
∗
|
∘
|
∙
|
√
|
∛
|
∜
|
∝
|
∞
|
∟
|
U+222x | ∠
|
∡
|
∢
|
∣
|
∤
|
∥
|
∦
|
∧
|
∨
|
∩
|
∪
|
∫
|
∬
|
∭
|
∮
|
∯
|
U+223x | ∰
|
∱
|
∲
|
∳
|
∴
|
∵
|
∶
|
∷
|
∸
|
∹
|
∺
|
∻
|
∼
|
∽
|
∾ | ∿
|
U+224x | ≀
|
≁
|
≂ | ≃
|
≄
|
≅ | ≆ | ≇
|
≈
|
≉
|
≊
|
≋
|
≌
|
≍
|
≎
|
≏ |
U+225x | ≐
|
≑
|
≒
|
≓
|
≔
|
≕
|
≖
|
≗
|
≘
|
≙
|
≚ | ≛
|
≜
|
≝
|
≞
|
≟
|
U+226x | ≠
|
≡ | ≢
|
≣
|
≤ | ≥
|
≦
|
≧
|
≨
|
≩
|
≪
|
≫
|
≬ | ≭
|
≮
|
≯
|
U+227x | ≰
|
≱
|
≲
|
≳
|
≴
|
≵
|
≶
|
≷
|
≸
|
≹
|
≺
|
≻
|
≼
|
≽
|
≾
|
≿
|
U+228x | ⊀
|
⊁
|
⊂
|
⊃
|
⊄
|
⊅
|
⊆
|
⊇
|
⊈
|
⊉
|
⊊
|
⊋
|
⊌
|
⊍
|
⊎
|
⊏ |
U+229x | ⊐ | ⊑ | ⊒ | ⊓ | ⊔
|
⊕ | ⊖ | ⊗
|
⊘
|
⊙ | ⊚ | ⊛
|
⊜
|
⊝ | ⊞
|
⊟
|
U+22Ax | ⊠
|
⊡
|
⊢
|
⊣
|
⊤
|
⊥
|
⊦
|
⊧
|
⊨
|
⊩
|
⊪ | ⊫ | ⊬ | ⊭
|
⊮ | ⊯ |
U+22Bx | ⊰
|
⊱
|
⊲
|
⊳
|
⊴
|
⊵
|
⊶ | ⊷ | ⊸
|
⊹
|
⊺ | ⊻
|
⊼
|
⊽
|
⊾
|
⊿ |
U+22Cx | ⋀
|
⋁
|
⋂
|
⋃
|
⋄
|
⋅
|
⋆
|
⋇ | ⋈
|
⋉
|
⋊
|
⋋
|
⋌
|
⋍
|
⋎
|
⋏
|
U+22Dx | ⋐ | ⋑ | ⋒ | ⋓ | ⋔
|
⋕
|
⋖ | ⋗ | ⋘ | ⋙ | ⋚ | ⋛ | ⋜ | ⋝ | ⋞
|
⋟
|
U+22Ex | ⋠
|
⋡
|
⋢ | ⋣ | ⋤ | ⋥ | ⋦
|
⋧
|
⋨
|
⋩
|
⋪
|
⋫
|
⋬
|
⋭
|
⋮
|
⋯
|
U+22Fx | ⋰
|
⋱
|
⋲ | ⋳ | ⋴ | ⋵ | ⋶ | ⋷ | ⋸ | ⋹ | ⋺ | ⋻ | ⋼ | ⋽ | ⋾ | ⋿
|
Notes
|
Variation sequences
The Mathematical Operators block has sixteen variation sequences defined for standardized variants.[3][4] They use U+FE00 VARIATION SELECTOR-1 (VS01) to denote variant symbols (depending on the font):
Base character | Base | +VS01 | Description |
---|---|---|---|
U+2205 EMPTY SET | ∅ | ∅︀ | zero with long diagonal stroke overlay form |
U+2229 INTERSECTION | ∩ | ∩︀ | with serifs |
U+222A UNION | ∪ | ∪︀ | with serifs |
U+2268 LESS-THAN BUT NOT EQUAL TO | ≨ | ≨︀ | with vertical stroke |
U+2269 GREATER-THAN BUT NOT EQUAL TO | ≩ | ≩︀ | with vertical stroke |
U+2272 LESS-THAN OR EQUIVALENT TO | ≲ | ≲︀ | following the slant of the lower leg |
U+2273 GREATER-THAN OR EQUIVALENT TO | ≳ | ≳︀ | following the slant of the lower leg |
U+228A SUBSET OF WITH NOT EQUAL TO | ⊊ | ⊊︀ | with stroke through bottom members |
U+228B SUPERSET OF WITH NOT EQUAL TO | ⊋ | ⊋︀ | with stroke through bottom members |
U+2293 SQUARE CAP | ⊓ | ⊓︀ | with serifs |
U+2294 SQUARE CUP | ⊔ | ⊔︀ | with serifs |
U+2295 CIRCLED PLUS | ⊕ | ⊕︀ | with white rim |
U+2297 CIRCLED TIMES | ⊗ | ⊗︀ | with white rim |
U+229C CIRCLED EQUALS | ⊜ | ⊜︀ | with equal sign touching the circle |
U+22DA LESS-THAN EQUAL TO OR GREATER-THAN | ⋚ | ⋚︀ | with slanted equal |
U+22DB GREATER-THAN EQUAL TO OR LESS-THAN | ⋛ | ⋛︀ | with slanted equal |
History
The following Unicode-related documents record the purpose and process of defining specific characters in the Mathematical Operators block:
Version | Final code points[a] | Count | UTC ID | L2 ID | WG2 ID | Document |
---|---|---|---|---|---|---|
1.0.0 | U+2200..22F1 | 242 | (to be determined) | |||
UTC/1999-013 | Karlsson, Kent (1999-05-27), Tildes and micro sign decompositions | |||||
L2/99-176R | Moore, Lisa (1999-11-04), "Not Tilde", Minutes from the joint UTC/L2 meeting in Seattle, June 8-10, 1999 | |||||
L2/00-115R2 | Moore, Lisa (2000-08-08), "Motion 83-M21", Minutes Of UTC Meeting #83 | |||||
L2/01-342 | Suignard, Michel (2001-09-10), "T.9 B.1 List of combining characters/Variation selectors", Comments accompanying the US positive vote on the FPDAM 1 to ISO/IEC 10646-1:2001 | |||||
L2/07-268 | N3253 (pdf, doc) | Umamaheswaran, V. S. (2007-07-26), "M50.7 (Math symbol glyph correction) [U+22C4]", Unconfirmed minutes of WG 2 meeting 50, Frankfurt-am-Main, Germany; 2007-04-24/27 | ||||
L2/15-268 | Beeton, Barbara; Freytag, Asmus; Iancu, Laurențiu; Sargent, Murray (2015-10-30), Proposal to Represent the Slashed Zero Variant of Empty Set | |||||
L2/15-254 | Moore, Lisa (2015-11-16), "B.12.1.2 Proposal to Represent the Slashed Zero Variant of Empty Set", UTC #145 Minutes | |||||
3.2 | U+22F2..22FF | 14 | L2/00-119[b] | N2191R | Whistler, Ken; Freytag, Asmus (2000-04-19), Encoding Additional Mathematical Symbols in Unicode | |
L2/00-234 | N2203 (rtf, txt) | Umamaheswaran, V. S. (2000-07-21), "8.18", Minutes from the SC2/WG2 meeting in Beijing, 2000-03-21 -- 24 | ||||
L2/00-115R2 | Moore, Lisa (2000-08-08), "Motion 83-M11", Minutes Of UTC Meeting #83 | |||||
|
See also
References
- ^ "Unicode character database". The Unicode Standard. Retrieved 2023-07-26.
- ^ "Enumerated Versions of The Unicode Standard". The Unicode Standard. Retrieved 2023-07-26.
- ^ "Unicode Character Database: Standardized Variation Sequences". The Unicode Consortium.
- ^ Whistler, Ken; Freytag, Asmus (2000-04-19), "Symbol variants defined using a Variation Selector", L2/00-119: Encoding Additional Mathematical Symbols in Unicode (PDF)