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Wikipedia

Mathematical Operators (Unicode block)

October 19, 2023

This article is about the Unicode block. For operators in mathematics, see Operator (mathematics). For mathematical symbols in Unicode, including other blocks, see Mathematical operators and symbols in Unicode.

Mathematical Operators is a Unicode block containing characters for mathematical, logical, and set notation.

Mathematical Operators
RangeU+2200..U+22FF
(256 code points)
PlaneBMP
ScriptsCommon
Symbol setsMathematical symbols
Logic and Set operators
Relation symbols
Assigned256 code points
Unused0 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]
This article contains special characters. Without proper rendering support, you may see question marks, boxes, or other symbols.

Notably absent are the plus sign (+), greater than sign (>) and less than sign (<), due to them already appearing in the Basic Latin Unicode block, and the plus-or-minus sign (±), multiplication sign (×) and obelus (÷), due to them already appearing in the Latin-1 Supplement block, although a distinct minus sign (−) is included, differing from the Basic Latin hyphen-minus (-).

Block Edit

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
1.^ As of Unicode version 15.1

Variation sequences Edit

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):

Variation sequences
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 Edit

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
  1. ^ Proposed code points and characters names may differ from final code points and names
  2. ^ Refer to the history section of the Miscellaneous Mathematical Symbols-B block for additional math-related documents

See also Edit

References Edit

  1. ^ "Unicode character database". The Unicode Standard. Retrieved 2023-07-26.
  2. ^ "Enumerated Versions of The Unicode Standard". The Unicode Standard. Retrieved 2023-07-26.
  3. ^ "Unicode Character Database: Standardized Variation Sequences". The Unicode Consortium.
  4. ^ Whistler, Ken; Freytag, Asmus (2000-04-19), "Symbol variants defined using a Variation Selector", L2/00-119: Encoding Additional Mathematical Symbols in Unicode (PDF)

October 19, 2023
mathematical, operators, unicode, block, this, article, about, unicode, block, operators, mathematics, operator, mathematics, mathematical, symbols, unicode, including, other, blocks, mathematical, operators, symbols, unicode, mathematical, operators, unicode,. This article is about the Unicode block For operators in mathematics see Operator mathematics For mathematical symbols in Unicode including other blocks see Mathematical operators and symbols in Unicode Mathematical Operators is a Unicode block containing characters for mathematical logical and set notation Mathematical OperatorsRangeU 2200 U 22FF 256 code points PlaneBMPScriptsCommonSymbol setsMathematical symbolsLogic and Set operatorsRelation symbolsAssigned256 code pointsUnused0 reserved code pointsUnicode version history1 0 0 1991 242 242 3 2 2002 256 14 Unicode documentationCode chart Web pageNote 1 2 This article contains special characters Without proper rendering support you may see question marks boxes or other symbols Notably absent are the plus sign greater than sign gt and less than sign lt due to them already appearing in the Basic Latin Unicode block and the plus or minus sign multiplication sign and obelus due to them already appearing in the Latin 1 Supplement block although a distinct minus sign is included differing from the Basic Latin hyphen minus Contents 1 Block 2 Variation sequences 3 History 4 See also 5 ReferencesBlock EditMathematical Operators 1 Official Unicode Consortium code chart PDF 0 1 2 3 4 5 6 7 8 9 A B C D E FU 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 1 As of Unicode version 15 1Variation sequences EditThe 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 Variation sequences Base character Base VS01 DescriptionU 2205 EMPTY SET zero with long diagonal stroke overlay formU 2229 INTERSECTION with serifsU 222A UNION with serifsU 2268 LESS THAN BUT NOT EQUAL TO with vertical strokeU 2269 GREATER THAN BUT NOT EQUAL TO with vertical strokeU 2272 LESS THAN OR EQUIVALENT TO following the slant of the lower legU 2273 GREATER THAN OR EQUIVALENT TO following the slant of the lower legU 228A SUBSET OF WITH NOT EQUAL TO with stroke through bottom membersU 228B SUPERSET OF WITH NOT EQUAL TO with stroke through bottom membersU 2293 SQUARE CAP with serifsU 2294 SQUARE CUP with serifsU 2295 CIRCLED PLUS with white rimU 2297 CIRCLED TIMES with white rimU 229C CIRCLED EQUALS with equal sign touching the circleU 22DA LESS THAN EQUAL TO OR GREATER THAN with slanted equalU 22DB GREATER THAN EQUAL TO OR LESS THAN with slanted equalHistory EditThe 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 Document1 0 0 U 2200 22F1 242 to be determined UTC 1999 013 Karlsson Kent 1999 05 27 Tildes and micro sign decompositionsL2 99 176R Moore Lisa 1999 11 04 Not Tilde Minutes from the joint UTC L2 meeting in Seattle June 8 10 1999L2 00 115R2 Moore Lisa 2000 08 08 Motion 83 M21 Minutes Of UTC Meeting 83L2 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 2001L2 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 27L2 15 268 Beeton Barbara Freytag Asmus Iancu Laurențiu Sargent Murray 2015 10 30 Proposal to Represent the Slashed Zero Variant of Empty SetL2 15 254 Moore Lisa 2015 11 16 B 12 1 2 Proposal to Represent the Slashed Zero Variant of Empty Set UTC 145 Minutes3 2 U 22F2 22FF 14 L2 00 119 b N2191R Whistler Ken Freytag Asmus 2000 04 19 Encoding Additional Mathematical Symbols in UnicodeL2 00 234 N2203 rtf txt Umamaheswaran V S 2000 07 21 8 18 Minutes from the SC2 WG2 meeting in Beijing 2000 03 21 24L2 00 115R2 Moore Lisa 2000 08 08 Motion 83 M11 Minutes Of UTC Meeting 83 Proposed code points and characters names may differ from final code points and names Refer to the history section of the Miscellaneous Mathematical Symbols B block for additional math related documentsSee also EditMathematical operators and symbols in Unicode Supplemental Mathematical OperatorsReferences Edit 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 Retrieved from https en wikipedia org w index php title Mathematical Operators Unicode block amp oldid 1167341837, wikipedia, wiki, book, books, library,

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