Supplemental Mathematical Operators

Supplemental Mathematical Operators is a Unicode block containing various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relations.

Supplemental Mathematical Operators
RangeU+2A00..U+2AFF
(256 code points)
PlaneBMP
ScriptsCommon
Assigned256 code points
Unused0 reserved code points
Unicode version history
3.2256 (+256)
Note: [1][2]

Block
Supplemental Mathematical Operators[1]
Official Unicode Consortium code chart (PDF)
 0123456789ABCDEF
U+2A0x ⨀ ⨁ ⨂ ⨃ ⨄ ⨅ ⨆ ⨇ ⨈ ⨉ ⨊ ⨋ ⨌ ⨍ ⨎ ⨏
U+2A1x ⨐ ⨑ ⨒ ⨓ ⨔ ⨕ ⨖ ⨗ ⨘ ⨙ ⨚ ⨛ ⨜ ⨝ ⨞ ⨟
U+2A2x ⨠ ⨡ ⨢ ⨣ ⨤ ⨥ ⨦ ⨧ ⨨ ⨩ ⨪ ⨫ ⨬ ⨭ ⨮ ⨯
U+2A3x ⨰ ⨱ ⨲ ⨳ ⨴ ⨵ ⨶ ⨷ ⨸ ⨹ ⨺ ⨻ ⨼ ⨽ ⨾ ⨿
U+2A4x ⩀ ⩁ ⩂ ⩃ ⩄ ⩅ ⩆ ⩇ ⩈ ⩉ ⩊ ⩋ ⩌ ⩍ ⩎ ⩏
U+2A5x ⩐ ⩑ ⩒ ⩓ ⩔ ⩕ ⩖ ⩗ ⩘ ⩙ ⩚ ⩛ ⩜ ⩝ ⩞ ⩟
U+2A6x ⩠ ⩡ ⩢ ⩣ ⩤ ⩥ ⩦ ⩧ ⩨ ⩩ ⩪ ⩫ ⩬ ⩭ ⩮ ⩯
U+2A7x ⩰ ⩱ ⩲ ⩳ ⩴ ⩵ ⩶ ⩷ ⩸ ⩹ ⩺ ⩻ ⩼ ⩽ ⩾ ⩿
U+2A8x ⪀ ⪁ ⪂ ⪃ ⪄ ⪅ ⪆ ⪇ ⪈ ⪉ ⪊ ⪋ ⪌ ⪍ ⪎ ⪏
U+2A9x ⪐ ⪑ ⪒ ⪓ ⪔ ⪕ ⪖ ⪗ ⪘ ⪙ ⪚ ⪛ ⪜ ⪝ ⪞ ⪟
U+2AAx ⪠ ⪡ ⪢ ⪣ ⪤ ⪥ ⪦ ⪧ ⪨ ⪩ ⪪ ⪫ ⪬ ⪭ ⪮ ⪯
U+2ABx ⪰ ⪱ ⪲ ⪳ ⪴ ⪵ ⪶ ⪷ ⪸ ⪹ ⪺ ⪻ ⪼ ⪽ ⪾ ⪿
U+2ACx ⫀ ⫁ ⫂ ⫃ ⫄ ⫅ ⫆ ⫇ ⫈ ⫉ ⫊ ⫋ ⫌ ⫍ ⫎ ⫏
U+2ADx ⫐ ⫑ ⫒ ⫓ ⫔ ⫕ ⫖ ⫗ ⫘ ⫙ ⫚ ⫛ ⫝̸ ⫝ ⫞ ⫟
U+2AEx ⫠ ⫡ ⫢ ⫣ ⫤ ⫥ ⫦ ⫧ ⫨ ⫩ ⫪ ⫫ ⫬ ⫭ ⫮ ⫯
U+2AFx ⫰ ⫱ ⫲ ⫳ ⫴ ⫵ ⫶ ⫷ ⫸ ⫹ ⫺ ⫻ ⫼ ⫽ ⫾ ⫿
Notes
1.^ As of Unicode version 13.0

Variation sequences

The Supplemental Mathematical Operators block has eight 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 characterBase+VS01Description
U+2A3C INTERIOR PRODUCT⨼⨼︀tall variant with narrow foot
U+2A3D RIGHTHAND INTERIOR PRODUCT⨽⨽︀tall variant with narrow foot
U+2A9D SIMILAR OR LESS-THAN⪝⪝︀with similar following the slant of the upper leg
U+2A9E SIMILAR OR GREATER-THAN⪞⪞︀with similar following the slant of the upper leg
U+2AAC SMALLER THAN OR EQUAL TO⪬⪬︀with slanted equal
U+2AAD LARGER THAN OR EQUAL TO⪭⪭︀with slanted equal
U+2ACB SUBSET OF ABOVE NOT EQUAL TO⫋⫋︀with stroke through bottom members
U+2ACC SUPERSET OF ABOVE NOT EQUAL TO⫌⫌︀with stroke through bottom members

History

The following Unicode-related documents record the purpose and process of defining specific characters in the Supplemental Mathematical Operators block:

VersionFinal code points[lower-alpha 1]CountL2 IDWG2 IDDocument
3.2U+2A00..2A6D, 2A6F..2AF6246L2/00-119[lower-alpha 2]N2191RWhistler, Ken; Freytag, Asmus (2000-04-19), Encoding Additional Mathematical Symbols in Unicode
L2/00-234N2203 (rtf, txt)Umamaheswaran, V. S. (2000-07-21), "8.18", Minutes from the SC2/WG2 meeting in Beijing, 2000-03-21 -- 24
L2/00-115R2Moore, Lisa (2000-08-08), "Motion 83-M11", Minutes Of UTC Meeting #83
L2/01-012RMoore, Lisa (2001-05-21), "Motion 86-M19", Minutes UTC #86 in Mountain View, Jan 2001
L2/01-342Suignard, 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
U+2A6E, 2AF7..2AFF10L2/01-142[lower-alpha 2]N2336Beeton, Barbara; Freytag, Asmus; Ion, Patrick (2001-04-02), Additional Mathematical Symbols
L2/01-156N2356Freytag, Asmus (2001-04-03), Additional Mathematical Characters (Draft 10)
L2/01-344N2353 (pdf, doc)Umamaheswaran, V. S. (2001-09-09), "7.7 Mathematical Symbols", Minutes from SC2/WG2 meeting #40 -- Mountain View, April 2001
  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

References
  1. "Unicode character database". The Unicode Standard. Retrieved 2016-07-09.
  2. "Enumerated Versions of The Unicode Standard". The Unicode Standard. Retrieved 2016-07-09.
  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)
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