# 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.

## Block

Supplemental Mathematical Operators Official Unicode Consortium code chart (PDF) :
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| 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 16.0 |||||||||||||||||

## Variation sequences

The Supplemental Mathematical Operators block has eight variation sequences defined for standardized variants. They use U+FE00 VARIATION SELECTOR-1 (VS01) to denote variant symbols (depending on the font):
Variation sequences :
| Base character | Base | +VS01 | Description |
| 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:
| Version | Final code points | Count | L2 ID | WG2 ID | Document |
| 3.2 | U+2A00..2A6D, 2A6F..2AF6 | 246 | L2/00-119 | N2191R | Whistler, Ken; Freytag, Asmus (2000-04-19), Encoding Additional Mathematical Symbols in Unicode |
| 3.2 | U+2A00..2A6D, 2A6F..2AF6 | 246 | 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 |
| 3.2 | U+2A00..2A6D, 2A6F..2AF6 | 246 | L2/00-115R2 | | Moore, Lisa (2000-08-08), "Motion 83-M11", Minutes Of UTC Meeting #83 |
| 3.2 | U+2A00..2A6D, 2A6F..2AF6 | 246 | L2/01-012R | | Moore, Lisa (2001-05-21), "Motion 86-M19", Minutes UTC #86 in Mountain View, Jan 2001 |
| 3.2 | U+2A00..2A6D, 2A6F..2AF6 | 246 | 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 |
| 3.2 | U+2A6E, 2AF7..2AFF | 10 | L2/01-142 | N2336 | Beeton, Barbara; Freytag, Asmus; Ion, Patrick (2001-04-02), Additional Mathematical Symbols |
| 3.2 | U+2A6E, 2AF7..2AFF | 10 | L2/01-156 | N2356 | Freytag, Asmus (2001-04-03), Additional Mathematical Characters (Draft 10) |
| 3.2 | U+2A6E, 2AF7..2AFF | 10 | L2/01-344 | N2353 (pdf, doc) | Umamaheswaran, V. S. (2001-09-09), "7.7 Mathematical Symbols", Minutes from SC2/WG2 meeting #40 -- Mountain View, April 2001 |
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