Miscellaneous Mathematical Symbols-A

Miscellaneous Mathematical Symbols-A is a Unicode block containing characters for mathematical, logical, and database notation.

Miscellaneous Mathematical Symbols-A
Range	U+27C0..U+27EF (48 code points)
Plane	BMP
Scripts	Common
Symbol sets	Mathematical notation Logical notation
Assigned	48 code points
Unused	0 reserved code points
Unicode version history
3.2 (2002)	28 (+28)
4.1 (2005)	35 (+7)
5.0 (2006)	39 (+4)
5.1 (2008)	44 (+5)
6.0 (2010)	46 (+2)
6.1 (2012)	48 (+2)
Unicode documentation
Code chart ∣ Web page
Note:

Character table

Code	Result	Description
U+27C0	⟀	Three dimensional angle
U+27C1	⟁	White triangle containing small white triangle
U+27C2	⟂	Perpendicular
U+27C3	⟃	Open subset
U+27C4	⟄	Open superset
U+27C5	⟅	Left S-shaped bag delimiter
U+27C6	⟆	Right S-shaped bag delimiter
U+27C7	⟇	Or with dot inside
U+27C8	⟈	Reverse solidus preceding subset
U+27C9	⟉	Superset preceding solidus
U+27CA	⟊	Vertical bar with horizontal stroke
U+27CC	⟌	Long division
U+27D0	⟐	White diamond with centered dot
U+27D1	⟑	And with dot
U+27D2	⟒	Element of opening upward
U+27D3	⟓	Lower right corner with dot
U+27D4	⟔	Upper left corner with dot
U+27D5	⟕	Left outer join
U+27D6	⟖	Right outer join
U+27D7	⟗	Full outer join
U+27D8	⟘	Large up tack
U+27D9	⟙	Large down tack
U+27DA	⟚	Left and right double turnstile
U+27DB	⟛	Left and right tack
U+27DC	⟜	Left multimap
U+27DD	⟝	Long right tack
U+27DE	⟞	Long left tack
U+27DF	⟟	Up tack with circle above
U+27E0	⟠	Lozenge divided by horizontal rule
U+27E1	⟡	White concave-sided diamond
U+27E2	⟢	White concave-sided diamond with leftward tick
U+27E3	⟣	White concave-sided diamond with rightward tick
U+27E4	⟤	White square with leftward tick
U+27E5	⟥	White square with rightward tick
U+27E6	⟦	Mathematical left white square bracket
U+27E7	⟧	Mathematical right white square bracket
U+27E8	⟨	Mathematical left angle bracket
U+27E9	⟩	Mathematical right angle bracket
U+27EA	⟪	Mathematical left double angle bracket
U+27EB	⟫	Mathematical right double angle bracket
U+27EC	⟬	Mathematical left white tortoise shell bracket
U+27ED	⟭	Mathematical right white tortoise shell bracket
U+27EE	⟮	Mathematical left flattened parenthesis
U+27EF	⟯	Mathematical right flattened parenthesis

Compact table

Miscellaneous Mathematical Symbols-A[1] Official Unicode Consortium code chart (PDF)

0

1

2

3

4

5

6

7

8

9

A

B

C

D

E

F

U+27Cx

⟀

⟁

⟂

⟃

⟄

⟅

⟆

⟇

⟈

⟉

⟊

⟋

⟌

⟍

⟎

⟏

U+27Dx

⟐

⟑

⟒

⟓

⟔

⟕

⟖

⟗

⟘

⟙

⟚

⟛

⟜

⟝

⟞

⟟

U+27Ex

⟠

⟡

⟢

⟣

⟤

⟥

⟦

⟧

⟨

⟩

⟪

⟫

⟬

⟭

⟮

⟯

Notes 1.^ As of Unicode version 16.0

History

The following Unicode-related documents record the purpose and process of defining specific characters in the Miscellaneous Mathematical Symbols-A block:

Version	Final code points	Count	L2 ID	WG2 ID	Document
3.2	U+27D0..27E5	22	L2/01-142	N2336	Beeton, Barbara; Freytag, Asmus; Ion, Patrick (2001-04-02), Additional Mathematical Symbols
			L2/01-227		Whistler, Ken (2001-05-22), "ITEM 3", WG2 Consent Docket for UTC #87
			L2/01-184R		Moore, Lisa (2001-06-18), "Motion 87-M16, ITEM 3", Minutes from the UTC/L2 meeting
			L2/01-344	N2353 (pdf, doc)	Umamaheswaran, V. S. (2001-09-09), "Resolution M40.4", Minutes from SC2/WG2 meeting #40 -- Mountain View, April 2001
	U+27E6..27EB	6	L2/99-052		Freytag, Asmus (1999-02-05), The math pieces from the symbol font
			L2/01-033		Karlsson, Kent; Freytag, Asmus (2001-01-16), Disunify braces/brackets for math, computing science, and Z notation from similar-looking CJK braces/brackets
			L2/01-159	N2344	Ad-hoc report on Mathematical Symbols, 2001-04-03
			L2/01-157	N2345R	Karlsson, Kent (2001-04-04), Proposal to disunify certain fencing CJK punctuation marks from similar-looking Math fences
			L2/01-168		Whistler, Ken (2001-04-10), Bracket Disunification & Normalization Hell
			L2/01-012R		Moore, Lisa (2001-05-21), "Disunifying Braces and Brackets", Minutes UTC #86 in Mountain View, Jan 2001
			L2/01-223		Suignard, Michel (2001-05-23), Discussion of Issues Regarding Bracket Disunification
			L2/01-184R		Moore, Lisa (2001-06-18), "Motion 87-M21", Minutes from the UTC/L2 meeting, Reverse the decision made in motion 86-M6 not to disunify brackets.
			L2/01-317		Suignard, Michel (2001-08-14), Bracket Disunification & Normalization
			L2/01-295R		Moore, Lisa (2001-11-06), "Bracket Disunification and Normalization", Minutes from the UTC/L2 meeting #88
			L2/02-154	N2403	Umamaheswaran, V. S. (2002-04-22), "Resolution M41.1", Draft minutes of WG 2 meeting 41, Hotel Phoenix, Singapore, 2001-10-15/19
4.1	U+27C0..27C1	2	L2/03-187	N2612-6	Pantelia, Maria (2003-06-11), Proposal to encode ancient Greek mathematical characters in the UCS
	U+27C2	1	L2/03-194	N2590	Freytag, Asmus (2003-06-09), Additional Mathematical and Letterlike Characters
	U+27C3..27C6	4	L2/03-410	N2680R	Freytag, Asmus (2003-10-30), Additional Mathematical Characters
			L2/04-098		Suignard, Michel (2004-02-04), "T.10 Miscellaneous Mathematical, item b", Comments accompanying the US positive vote on PDAM1 to ISO/IEC 10646:2003
			L2/04-316		Moore, Lisa (2004-08-19), "100-C6", UTC #100 Minutes
5.0	U+27C7..27C9	3	L2/04-406		Freytag, Asmus; Sargent, Murray; Beeton, Barbara; Carlisle, David (2004-11-15), Progress report on Mathematical Symbols
			L2/04-410		Freytag, Asmus (2004-11-18), Twenty six mathematical characters
	U+27CA	1	L2/05-189	N2958	Lehtiranta, Juhani; Ruppel, Klaas; Suutari, Toni; Trosterud, Trond (2005-07-22), Report on progress in implementing the Uralic Phonetic Alphabet with indication of the need for additional characters and symbols
			L2/05-261	N2989	Ruppel, Klaas; Kolehmainen, Erkki I.; Everson, Michael; Freytag, Asmus; Whistler, Ken (2005-09-13), Proposal to add six additional Uralicist characters to the UCS
			L2/05-270		Whistler, Ken (2005-09-21), "A. Uralicist character additions", WG2 Consent Docket (Sophia Antipolis)
			L2/05-279		Moore, Lisa (2005-11-10), "Consensus 105-C29", UTC #105 Minutes
				N2953 (pdf, doc)	Umamaheswaran, V. S. (2006-02-16), "7.4.7", Unconfirmed minutes of WG 2 meeting 47, Sophia Antipolis, France; 2005-09-12/15
5.1	U+27CC, 27EE..27EF	3	L2/07-011R	N3198R	Freytag, Asmus; Beeton, Barbara; Ion, Patrick; Sargent, Murray; Carlisle, David; Pournader, Roozbeh (2007-01-15), 29 Additional Mathematical and Symbol Characters
			L2/07-015		Moore, Lisa (2007-02-08), "Mathematical Characters and Symbols (C.4)", UTC #110 Minutes
			L2/07-268	N3253 (pdf, doc)	Umamaheswaran, V. S. (2007-07-26), "M50.16", Unconfirmed minutes of WG 2 meeting 50, Frankfurt-am-Main, Germany; 2007-04-24/27
	U+27EC..27ED	2	L2/06-054R	N3040	Freytag, Asmus; Beeton, Barbara; Sargent, Murray (2006-02-09), Proposal for the Addition of Two Mathematical Bracket Characters
			L2/06-008R2		Moore, Lisa (2006-02-13), "C.21", UTC #106 Minutes
				N3103 (pdf, doc)	Umamaheswaran, V. S. (2006-08-25), "M48.22", Unconfirmed minutes of WG 2 meeting 48, Mountain View, CA, USA; 2006-04-24/27
6.0	U+27CE..27CF	2	L2/09-273	N3677	Iancu, Laurențiu (2009-07-28), Proposal to Encode Two Mathematical Symbols
			L2/09-225R		Moore, Lisa (2009-08-17), "D.2.2", UTC #120 / L2 #217 Minutes
			L2/09-359		Iancu, Laurențiu (2009-10-21), Follow-up on Action Item 120-A77
				N3703 (pdf, doc)	Umamaheswaran, V. S. (2010-04-13), "M55.9b", Unconfirmed minutes of WG 2 meeting no. 55, Tokyo 2009-10-26/30
6.1	U+27CB, 27CD	2	L2/09-397		Iancu, Laurențiu (2009-10-26), Proposal to Encode Mathematical Diagonals
			L2/09-335R		Moore, Lisa (2009-11-10), "D.2.1", UTC #121 / L2 #218 Minutes
			L2/10-007R	N3763	Anderson, Deborah; Beeton, Barbara; Iancu, Laurențiu (2010-01-12), Revised Proposal to Encode Mathematical Diagonals
			L2/10-010		Constable, Peter; Iancu, Laurențiu; Sargent, Murray (2010-01-13), Proposal to rename the diagonal symbols U+27CB and U+27CD in the pipeline
			L2/10-015R		Moore, Lisa (2010-02-09), "Consensus 122-C11", UTC #122 / L2 #219 Minutes, Change the name of U+27CB from RISING DIAGONAL to MATHEMATICAL RISING DIAGONAL and U+27CD from FALLING DIAGONAL to MATHEMATICAL FALLING DIAGONAL.
				N3803 (pdf, doc)	"M56.08c", Unconfirmed minutes of WG 2 meeting no. 56, 2010-09-24

See also

• Mathematical operators and symbols in Unicode