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Mathematical Operators (Unicode block)

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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.
Unicode character block
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 chartWeb page
Note: [1] [2]
This article contains special characters. Without proper rendering support, you may see question marks, boxes, or other symbols.

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

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

Block

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  0 1 2 3 4 5 6 7 8 9 A B C D E F
Notes
1.^ As of Unicode version 17.0

Variation sequences

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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

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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年05月27日), Tildes and micro sign decompositions
L2/99-176R Moore, Lisa (1999年11月04日), "Not Tilde", Minutes from the joint UTC/L2 meeting in Seattle, June 8-10, 1999
L2/00-115R2 Moore, Lisa (2000年08月08日), "Motion 83-M21", Minutes Of UTC Meeting #83
L2/01-342 Suignard, Michel (2001年09月10日), "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年07月26日), "M50.7 (Math symbol glyph correction) [U+22C4]", Unconfirmed minutes of WG 2 meeting 50, Frankfurt-am-Main, Germany; 2007年04月24日/27
L2/15-268 Beeton, Barbara; Freytag, Asmus; Iancu, Laurențiu; Sargent, Murray (2015年10月30日), Proposal to Represent the Slashed Zero Variant of Empty Set
L2/15-254 Moore, Lisa (2015年11月16日), "B.12.1.2 Proposal to Represent the Slashed Zero Variant of Empty Set", UTC #145 Minutes
L2/24-173 Pentzlin, Karl (2024年06月06日), Proposal to encode a Middle Asterisk as referred to in the German standard DIN 2137 [Affects U+2217]
L2/24-166 Anderson, Deborah; Goregaokar, Manish; Kučera, Jan; Whistler, Ken; Pournader, Roozbeh; Constable, Peter (2024年07月18日), "20. Middle Asterisk [Affects U+2217]", Recommendations to UTC #180 July 2024 on Script Proposals
L2/24-159 Constable, Peter (2024年07月29日), "Section 20. Middle Asterisk", UTC #180 Minutes, Consider adding an annotation to U+2217 that it may be used to represent the telephony asterisk
3.2 U+22F2..22FF 14 L2/00-119 [b] N2191R Whistler, Ken; Freytag, Asmus (2000年04月19日), Encoding Additional Mathematical Symbols in Unicode
L2/00-234 N2203 (rtf, txt) Umamaheswaran, V. S. (2000年07月21日), "8.18", Minutes from the SC2/WG2 meeting in Beijing, 2000年03月21日 -- 24
L2/00-115R2 Moore, Lisa (2000年08月08日), "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

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References

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