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{{Short description|Blackboard at the Laurent Schwartz Center for Mathematics, École Polytechnique}}
{{redirect|⊞|the key|Windows key}}
[[File:0009-cmls-2012_preview_ecran.jpg|thumb|300px|Blackboard at the Laurent Schwartz Center for Mathematics, [[École Polytechnique]]]]
[[File:0009-cmls-2012_preview_ecran.jpg|thumb|300px|Blackboard at the Laurent Schwartz Center for Mathematics, [[École Polytechnique]]]]
{{SpecialChars}}
{{SpecialChars}}
The [[Unicode]] Standard encodes almost all standard characters used in mathematics.<ref name="utr25">{{cite web | title = Unicode Technical Report #25: Unicode Support for Mathematics | publisher = The Unicode Consortium | date = 2 April 2012 | url = https://www.unicode.org/reports/tr25/ | format = PDF | accessdate = 14 August 2014}}</ref>
The [[Unicode]] Standard encodes almost all standard characters used in mathematics.<ref name="utr25">{{cite web | title = Unicode Technical Report #25: Unicode Support for Mathematics | publisher = The Unicode Consortium | date = 2 April 2012 | url = https://www.unicode.org/reports/tr25/ | format = PDF | access-date = 14 August 2014}}</ref>
Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation.<ref name="utr25"/>
Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation.<ref name="utr25"/>
[[Operation (mathematics)|Mathematical operators]] and [[List of mathematical symbols|symbols]] are in multiple [[Unicode block]]s. Some of these blocks are dedicated to, or primarily contain, mathematical characters while others are a mix of mathematical and non-mathematical characters. This article covers all Unicode characters with a derived property of "Math".<ref>{{cite web | title = Unicode Character Database: Derived Core Properties | publisher = The Unicode Consortium | date = 19 February 2014 | url = https://www.unicode.org/Public/UCD/latest/ucd/DerivedCoreProperties.txt | accessdate = 14 August 2014
[[Operation (mathematics)|Mathematical operators]] and [[List of mathematical symbols|symbols]] are in multiple [[Unicode block]]s. Some of these blocks are dedicated to, or primarily contain, mathematical characters while others are a mix of mathematical and non-mathematical characters. This article covers all Unicode characters with a derived property of "Math".<ref>{{cite web | title = Unicode Character Database: Derived Core Properties | publisher = The Unicode Consortium | date = 19 February 2014 | url = https://www.unicode.org/Public/UCD/latest/ucd/DerivedCoreProperties.txt | access-date = 14 August 2014
}}</ref><ref>{{cite web | title = Unicode Technical Annex #44: Unicode Character Database | publisher = The Unicode Consortium | date = 25 September 2013 | url = https://www.unicode.org/reports/tr44/ | format = PDF | accessdate = 14 August 2014}}</ref>
}}</ref><ref>{{cite web | title = Unicode Technical Annex #44: Unicode Character Database | publisher = The Unicode Consortium | date = 25 September 2013 | url = https://www.unicode.org/reports/tr44/ | format = PDF | access-date = 14 August 2014}}</ref>
<!-- Note that capitalization below intentionally uses Unicode block name capitalization instead of the normal Wikipedia sentence case for headings. -->
<!-- Note that capitalization below intentionally uses Unicode block name capitalization instead of the normal Wikipedia sentence case for headings. -->

==Dedicated blocks==
==Dedicated blocks==


===Mathematical Operators block===
===Mathematical Operators block===
{{Main|Mathematical Operators|l1=Mathematical Operators (Unicode block)}}
{{Main|Mathematical Operators (Unicode block)}}
The Mathematical Operators block (U+2200&ndash;U+22FF) contains characters for mathematical, logical, and set notation.
The Mathematical Operators block (U+2200&ndash;U+22FF) contains characters for mathematical, logical, and set notation.
{{Unicode chart Mathematical Operators}}
{{Unicode chart Mathematical Operators}}
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===<span id="Mathematical Alphanumeric Symbols block"></span>Mathematical Alphanumeric Symbols block===
===<span id="Mathematical Alphanumeric Symbols block"></span>Mathematical Alphanumeric Symbols block===
{{Main|Mathematical Alphanumeric Symbols|l1=Mathematical Alphanumeric Symbols (Unicode block)}}
{{Main|Mathematical Alphanumeric Symbols|l1=Mathematical Alphanumeric Symbols (Unicode block)}}
The Mathematical Alphanumeric Symbols block (U+1D400&ndash;U+1D7FF) contains Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles. The "holes" in the alphabetic ranges are filled by previously defined characters in the Letter like Symbols block [[#Letterlike Symbols block|shown below]].
The Mathematical Alphanumeric Symbols block (U+1D400&ndash;U+1D7FF) contains Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles. The reserved code points (the "holes") in the alphabetic ranges up to U+1D551 duplicate characters in the [[#Letterlike Symbols block|Letterlike Symbols block]]. In order, these are ℎ / ℬ ℰ ℱ ℋ ℐ ℒ ℳ ℛ / ℯ ℊ ℴ / ℭ ℌ ℑ ℜ ℨ / ℂ ℍ ℕ ℙ ℚ ℝ ℤ.


{{Unicode chart Mathematical Alphanumeric Symbols}}
{{Unicode chart Mathematical Alphanumeric Symbols}}
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The Letterlike Symbols block (U+2100&ndash;U+214F) includes variables. Most alphabetic math symbols are in the Mathematical Alphanumeric Symbols block [[#Mathematical Alphanumeric Symbols block|shown above]].
The Letterlike Symbols block (U+2100&ndash;U+214F) includes variables. Most alphabetic math symbols are in the Mathematical Alphanumeric Symbols block [[#Mathematical Alphanumeric Symbols block|shown above]].


The math subset of this block is U+2102, U+2107, U+210A&ndash;U+2113, U+2115, U+2118&ndash;U+2119, U+2124, U+2128&ndash;U+2129, U+212C, U+212F, U+2133, U+2135, U+213C&ndash;U+2149, and U+214B.
The math subset of this block is U+2102, U+2107, U+210A&ndash;U+2113, U+2115, U+2118&ndash;U+211D, U+2124, U+2128&ndash;U+2129, U+212C&ndash;U+212D, U+212F&ndash;U+2131, U+2133&ndash;U+2138, U+213C&ndash;U+2149, and U+214B.<ref>See https://www.unicode.org/Public/UCD/latest/ucd/DerivedCoreProperties.txt</ref>


{{Unicode chart Letterlike Symbols}}
{{Unicode chart Letterlike Symbols}}
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The Miscellaneous Technical block (U+2300&ndash;U+23FF) includes braces and operators.
The Miscellaneous Technical block (U+2300&ndash;U+23FF) includes braces and operators.


The math subset of this block is U+2308&ndash;U+230B, U+2320-U+2321, U+237C, U+239B-U+23B5, 23B7, U+23D0, and U+23DC-U+23E2.
The math subset of this block is U+2308&ndash;U+230B, U+2320&ndash;U+2321, U+237C, U+239B&ndash;U+23B5, 23B7, U+23D0, and U+23DC&ndash;U+23E2.
{{Unicode chart Miscellaneous Technical}}
{{Unicode chart Miscellaneous Technical}}


===Geometric Shapes block===
===Geometric Shapes block===
{{Main|Geometric Shapes|l1=Geometric Shapes (Unicode block)}}
{{Main|Geometric Shapes (Unicode block)}}
The Geometric Shapes block (U+25A0&ndash;U+25FF) contains geometric shape symbols.
The Geometric Shapes block (U+25A0&ndash;U+25FF) contains geometric shape symbols.


The math subset of this block is U+25A0&ndash;25A1, U+25AE&ndash;25B7, U+25BC&ndash;25C1, U+25C6&ndash;25C7, U+25CA&ndash;25CB, U+25CF&ndash;25D3, U+25E2, U+25E4, U+25E7&ndash;25EC, and U+25F8&ndash;25FF.
The math subset of this block is U+25A0&ndash;25A1, U+25AE&ndash;25B7, U+25BC&ndash;25C1, U+25C6&ndash;25C7, U+25CA&ndash;25CB, U+25CF&ndash;25D3, U+25E2, U+25E4, U+25E7&ndash;25EC, and U+25F8&ndash;25FF.
{{Unicode chart Geometric Shapes}}
{{Unicode chart Geometric Shapes}}

===Miscellaneous Symbols and Arrows block===
{{Main|Miscellaneous Symbols and Arrows|l1=Miscellaneous Symbols and Arrows (Unicode block)}}
The Miscellaneous Symbols and Arrows block (U+2B00&ndash;U+2BFF Arrows) contains arrows and geometric shapes with various fills.

The math subset of this block is U+2B30&ndash;2B44 and U+2B47&ndash;2B4C.
{{Unicode chart Miscellaneous Symbols and Arrows}}


===Arrows block===
===Arrows block===
{{Main|Arrows (Unicode block)}}
{{Main|Arrows (Unicode block)}}
The Arrows block (U+2190&ndash;U+21FF) contains line, curve, and semicircle arrows and arrow-like operators.
The Arrows block (U+2190&ndash;U+21FF) contains line, curve, and semicircle arrows and arrow-like operators.

The math subset of this block is U+2190&ndash;U+21A7, U+21A9&ndash;U+21AE, U+21B0&ndash;U+21B1, U+21B6&ndash;U+21B7, U+21BC&ndash;U+21DB, U+21DD, U+21E4&ndash;U+21E5, U+21F4&ndash;U+21FF.<ref>More symbols are supported by TeX math packages, see e.g. [https://tug.ctan.org/fonts/xcharter-math/unimath-xcharter.pdf#page=47 Will Robertson, Symbols defined by unicode-math].</ref>
{{Unicode chart Arrows}}
{{Unicode chart Arrows}}


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The Supplemental Arrows-B block (U+2900&ndash;U+297F) contains arrows and arrow-like operators (arrow tails, crossing arrows, curved arrows, and harpoons).
The Supplemental Arrows-B block (U+2900&ndash;U+297F) contains arrows and arrow-like operators (arrow tails, crossing arrows, curved arrows, and harpoons).
{{Unicode chart Supplemental Arrows-B}}
{{Unicode chart Supplemental Arrows-B}}

===Miscellaneous Symbols and Arrows block===
{{Main|Miscellaneous Symbols and Arrows|l1=Miscellaneous Symbols and Arrows (Unicode block)}}
The Miscellaneous Symbols and Arrows block (U+2B00&ndash;U+2BFF Arrows) contains arrows and geometric shapes with various fills.

The math subset of this block is U+2B30&ndash;U+2B44, U+2B47&ndash;U+2B4C.<ref>The quadruple arrows U+2B45 and U+2B46 are supported by TeX math packages, per [https://tug.ctan.org/fonts/xcharter-math/unimath-xcharter.pdf#page=75 Will Robertson, Symbols defined by unicode-math].</ref>
{{Unicode chart Miscellaneous Symbols and Arrows}}


===Combining Diacritical Marks for Symbols block===
===Combining Diacritical Marks for Symbols block===
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==Characters in other blocks==
==Characters in other blocks==
Mathematical characters also appear in other blocks. Below is a list of these characters as of Unicode version 11.0:
Mathematical characters also appear in other blocks. Below is a list of these characters as of Unicode version {{Unicode version|version=15.1}}:


{|
{|
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{|
{|
| U+002B || {{Large|+}} || PLUS SIGN
| U+002B || {{Large|+}} || PLUS SIGN
|-
|-
| U+002D || {{Large|-}} || HYPHEN-MINUS<ref>As per [https://www.unicode.org/Public/15.1.0/ucd/DerivedCoreProperties.txt Unicode 15.1.0], the ASCII hyphen-minus is not a mathematical symbol. To express the minus sign in math, {{unichar|2212|minus sign}} is used instead.</ref>
| U+002D || {{Large|-}} || HYPHEN-MINUS
|-
|-
| U+003C || {{Large|&lt;}} || LESS-THAN SIGN
| U+003C || {{Large|&lt;}} || LESS-THAN SIGN
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{|
{|
| U+00AC || {{Large|¬}} || NOT SIGN
| U+00AC || {{Large|¬}} || NOT SIGN
|-
| U+00B0 || {{Large|°}} || DEGREE SIGN<ref>As per [https://www.unicode.org/Public/15.1.0/ucd/DerivedCoreProperties.txt Unicode 15.1.0], the degree sign is not a mathematical symbol, since it is a measurement unit symbol rather than a math symbol. Consistently, TeX packages support many non-math symbols. But this article is designed to cover only Unicode characters with a derived property of "Math".</ref>
|-
|-
| U+00B1 || {{Large|±}} || PLUS-MINUS SIGN
| U+00B1 || {{Large|±}} || PLUS-MINUS SIGN
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== See also ==
== See also ==
* [[List of mathematical symbols]]
* [[Glossary of mathematical symbols]]
* [[List of logic symbols]]
* [[List of logic symbols]]
* [[Greek letters used in mathematics, science, and engineering]]
* [[Greek letters used in mathematics, science, and engineering]]
* [[List of letters used in mathematics and science]]
* [[List of letters used in mathematics and science]]
* [[List of mathematical uses of Latin letters]]
* [[Latin letters used in mathematics]]
* [[Unicode subscripts and superscripts]]
* [[Unicode subscripts and superscripts]]
* [[Unicode symbols]]
* [[Unicode symbols]]
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{{reflist}}
{{reflist}}


== External links ==
==External links==
*{{cite book | title = Mathematical Markup Language (MathML) W3C Recommendation | publisher = W3C | version = 3.0 | edition = 2nd | date = 10 April 2014 | url = http://www.w3.org/TR/MathML/}}
*{{cite book | title = Mathematical Markup Language (MathML) W3C Recommendation | publisher = W3C | version = 3.0 | edition = 2nd | date = 10 April 2014 | url = http://www.w3.org/TR/MathML/}}
*Images of glyphs in [http://www.w3.org/TR/MathML2/chapter6.html#chars.16x16-tables section 6.3.3] of the {{cite book | title = Mathematical Markup Language (MathML) W3C Recommendation | publisher = W3C
*Images of glyphs in [http://www.w3.org/TR/MathML2/chapter6.html#chars.16x16-tables section 6.3.3] of the {{cite book | title = Mathematical Markup Language (MathML) W3C Recommendation | publisher = W3C
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{{Unicode navigation}}
{{Unicode navigation}}
{{Mathematical symbols notation language}}


[[Category:Unicode blocks|Mathematical operators]]
[[Category:Unicode blocks|*]]
[[Category:Mathematical symbols]]
[[Category:Mathematical symbols]]

Latest revision as of 18:32, 7 July 2024

Blackboard at the Laurent Schwartz Center for Mathematics, École Polytechnique

The Unicode Standard encodes almost all standard characters used in mathematics.[1] Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation.[1] Mathematical operators and symbols are in multiple Unicode blocks. Some of these blocks are dedicated to, or primarily contain, mathematical characters while others are a mix of mathematical and non-mathematical characters. This article covers all Unicode characters with a derived property of "Math".[2][3]

Dedicated blocks

[edit]

Mathematical Operators block

[edit]

The Mathematical Operators block (U+2200–U+22FF) contains characters for mathematical, logical, and set notation.

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

Supplemental Mathematical Operators block

[edit]

The Supplemental Mathematical Operators block (U+2A00–U+2AFF) contains various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relations.

Supplemental 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+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 15.1

Mathematical Alphanumeric Symbols block

[edit]

The Mathematical Alphanumeric Symbols block (U+1D400–U+1D7FF) contains Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles. The reserved code points (the "holes") in the alphabetic ranges up to U+1D551 duplicate characters in the Letterlike Symbols block. In order, these are ℎ / ℬ ℰ ℱ ℋ ℐ ℒ ℳ ℛ / ℯ ℊ ℴ / ℭ ℌ ℑ ℜ ℨ / ℂ ℍ ℕ ℙ ℚ ℝ ℤ.

Mathematical Alphanumeric Symbols[1][2]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+1D40x 𝐀 𝐁 𝐂 𝐃 𝐄 𝐅 𝐆 𝐇 𝐈 𝐉 𝐊 𝐋 𝐌 𝐍 𝐎 𝐏
U+1D41x 𝐐 𝐑 𝐒 𝐓 𝐔 𝐕 𝐖 𝐗 𝐘 𝐙 𝐚 𝐛 𝐜 𝐝 𝐞 𝐟
U+1D42x 𝐠 𝐡 𝐢 𝐣 𝐤 𝐥 𝐦 𝐧 𝐨 𝐩 𝐪 𝐫 𝐬 𝐭 𝐮 𝐯
U+1D43x 𝐰 𝐱 𝐲 𝐳 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 𝐻 𝐼 𝐽 𝐾 𝐿
U+1D44x 𝑀 𝑁 𝑂 𝑃 𝑄 𝑅 𝑆 𝑇 𝑈 𝑉 𝑊 𝑋 𝑌 𝑍 𝑎 𝑏
U+1D45x 𝑐 𝑑 𝑒 𝑓 𝑔 𝑖 𝑗 𝑘 𝑙 𝑚 𝑛 𝑜 𝑝 𝑞 𝑟
U+1D46x 𝑠 𝑡 𝑢 𝑣 𝑤 𝑥 𝑦 𝑧 𝑨 𝑩 𝑪 𝑫 𝑬 𝑭 𝑮 𝑯
U+1D47x 𝑰 𝑱 𝑲 𝑳 𝑴 𝑵 𝑶 𝑷 𝑸 𝑹 𝑺 𝑻 𝑼 𝑽 𝑾 𝑿
U+1D48x 𝒀 𝒁 𝒂 𝒃 𝒄 𝒅 𝒆 𝒇 𝒈 𝒉 𝒊 𝒋 𝒌 𝒍 𝒎 𝒏
U+1D49x 𝒐 𝒑 𝒒 𝒓 𝒔 𝒕 𝒖 𝒗 𝒘 𝒙 𝒚 𝒛 𝒜 𝒞 𝒟
U+1D4Ax 𝒢 𝒥 𝒦 𝒩 𝒪 𝒫 𝒬 𝒮 𝒯
U+1D4Bx 𝒰 𝒱 𝒲 𝒳 𝒴 𝒵 𝒶 𝒷 𝒸 𝒹 𝒻 𝒽 𝒾 𝒿
U+1D4Cx 𝓀 𝓁 𝓂 𝓃 𝓅 𝓆 𝓇 𝓈 𝓉 𝓊 𝓋 𝓌 𝓍 𝓎 𝓏
U+1D4Dx 𝓐 𝓑 𝓒 𝓓 𝓔 𝓕 𝓖 𝓗 𝓘 𝓙 𝓚 𝓛 𝓜 𝓝 𝓞 𝓟
U+1D4Ex 𝓠 𝓡 𝓢 𝓣 𝓤 𝓥 𝓦 𝓧 𝓨 𝓩 𝓪 𝓫 𝓬 𝓭 𝓮 𝓯
U+1D4Fx 𝓰 𝓱 𝓲 𝓳 𝓴 𝓵 𝓶 𝓷 𝓸 𝓹 𝓺 𝓻 𝓼 𝓽 𝓾 𝓿
U+1D50x 𝔀 𝔁 𝔂 𝔃 𝔄 𝔅 𝔇 𝔈 𝔉 𝔊 𝔍 𝔎 𝔏
U+1D51x 𝔐 𝔑 𝔒 𝔓 𝔔 𝔖 𝔗 𝔘 𝔙 𝔚 𝔛 𝔜 𝔞 𝔟
U+1D52x 𝔠 𝔡 𝔢 𝔣 𝔤 𝔥 𝔦 𝔧 𝔨 𝔩 𝔪 𝔫 𝔬 𝔭 𝔮 𝔯
U+1D53x 𝔰 𝔱 𝔲 𝔳 𝔴 𝔵 𝔶 𝔷 𝔸 𝔹 𝔻 𝔼 𝔽 𝔾
U+1D54x 𝕀 𝕁 𝕂 𝕃 𝕄 𝕆 𝕊 𝕋 𝕌 𝕍 𝕎 𝕏
U+1D55x 𝕐 𝕒 𝕓 𝕔 𝕕 𝕖 𝕗 𝕘 𝕙 𝕚 𝕛 𝕜 𝕝 𝕞 𝕟
U+1D56x 𝕠 𝕡 𝕢 𝕣 𝕤 𝕥 𝕦 𝕧 𝕨 𝕩 𝕪 𝕫 𝕬 𝕭 𝕮 𝕯
U+1D57x 𝕰 𝕱 𝕲 𝕳 𝕴 𝕵 𝕶 𝕷 𝕸 𝕹 𝕺 𝕻 𝕼 𝕽 𝕾 𝕿
U+1D58x 𝖀 𝖁 𝖂 𝖃 𝖄 𝖅 𝖆 𝖇 𝖈 𝖉 𝖊 𝖋 𝖌 𝖍 𝖎 𝖏
U+1D59x 𝖐 𝖑 𝖒 𝖓 𝖔 𝖕 𝖖 𝖗 𝖘 𝖙 𝖚 𝖛 𝖜 𝖝 𝖞 𝖟
U+1D5Ax 𝖠 𝖡 𝖢 𝖣 𝖤 𝖥 𝖦 𝖧 𝖨 𝖩 𝖪 𝖫 𝖬 𝖭 𝖮 𝖯
U+1D5Bx 𝖰 𝖱 𝖲 𝖳 𝖴 𝖵 𝖶 𝖷 𝖸 𝖹 𝖺 𝖻 𝖼 𝖽 𝖾 𝖿
U+1D5Cx 𝗀 𝗁 𝗂 𝗃 𝗄 𝗅 𝗆 𝗇 𝗈 𝗉 𝗊 𝗋 𝗌 𝗍 𝗎 𝗏
U+1D5Dx 𝗐 𝗑 𝗒 𝗓 𝗔 𝗕 𝗖 𝗗 𝗘 𝗙 𝗚 𝗛 𝗜 𝗝 𝗞 𝗟
U+1D5Ex 𝗠 𝗡 𝗢 𝗣 𝗤 𝗥 𝗦 𝗧 𝗨 𝗩 𝗪 𝗫 𝗬 𝗭 𝗮 𝗯
U+1D5Fx 𝗰 𝗱 𝗲 𝗳 𝗴 𝗵 𝗶 𝗷 𝗸 𝗹 𝗺 𝗻 𝗼 𝗽 𝗾 𝗿
U+1D60x 𝘀 𝘁 𝘂 𝘃 𝘄 𝘅 𝘆 𝘇 𝘈 𝘉 𝘊 𝘋 𝘌 𝘍 𝘎 𝘏
U+1D61x 𝘐 𝘑 𝘒 𝘓 𝘔 𝘕 𝘖 𝘗 𝘘 𝘙 𝘚 𝘛 𝘜 𝘝 𝘞 𝘟
U+1D62x 𝘠 𝘡 𝘢 𝘣 𝘤 𝘥 𝘦 𝘧 𝘨 𝘩 𝘪 𝘫 𝘬 𝘭 𝘮 𝘯
U+1D63x 𝘰 𝘱 𝘲 𝘳 𝘴 𝘵 𝘶 𝘷 𝘸 𝘹 𝘺 𝘻 𝘼 𝘽 𝘾 𝘿
U+1D64x 𝙀 𝙁 𝙂 𝙃 𝙄 𝙅 𝙆 𝙇 𝙈 𝙉 𝙊 𝙋 𝙌 𝙍 𝙎 𝙏
U+1D65x 𝙐 𝙑 𝙒 𝙓 𝙔 𝙕 𝙖 𝙗 𝙘 𝙙 𝙚 𝙛 𝙜 𝙝 𝙞 𝙟
U+1D66x 𝙠 𝙡 𝙢 𝙣 𝙤 𝙥 𝙦 𝙧 𝙨 𝙩 𝙪 𝙫 𝙬 𝙭 𝙮 𝙯
U+1D67x 𝙰 𝙱 𝙲 𝙳 𝙴 𝙵 𝙶 𝙷 𝙸 𝙹 𝙺 𝙻 𝙼 𝙽 𝙾 𝙿
U+1D68x 𝚀 𝚁 𝚂 𝚃 𝚄 𝚅 𝚆 𝚇 𝚈 𝚉 𝚊 𝚋 𝚌 𝚍 𝚎 𝚏
U+1D69x 𝚐 𝚑 𝚒 𝚓 𝚔 𝚕 𝚖 𝚗 𝚘 𝚙 𝚚 𝚛 𝚜 𝚝 𝚞 𝚟
U+1D6Ax 𝚠 𝚡 𝚢 𝚣 𝚤 𝚥 𝚨 𝚩 𝚪 𝚫 𝚬 𝚭 𝚮 𝚯
U+1D6Bx 𝚰 𝚱 𝚲 𝚳 𝚴 𝚵 𝚶 𝚷 𝚸 𝚹 𝚺 𝚻 𝚼 𝚽 𝚾 𝚿
U+1D6Cx 𝛀 𝛁 𝛂 𝛃 𝛄 𝛅 𝛆 𝛇 𝛈 𝛉 𝛊 𝛋 𝛌 𝛍 𝛎 𝛏
U+1D6Dx 𝛐 𝛑 𝛒 𝛓 𝛔 𝛕 𝛖 𝛗 𝛘 𝛙 𝛚 𝛛 𝛜 𝛝 𝛞 𝛟
U+1D6Ex 𝛠 𝛡 𝛢 𝛣 𝛤 𝛥 𝛦 𝛧 𝛨 𝛩 𝛪 𝛫 𝛬 𝛭 𝛮 𝛯
U+1D6Fx 𝛰 𝛱 𝛲 𝛳 𝛴 𝛵 𝛶 𝛷 𝛸 𝛹 𝛺 𝛻 𝛼 𝛽 𝛾 𝛿
U+1D70x 𝜀 𝜁 𝜂 𝜃 𝜄 𝜅 𝜆 𝜇 𝜈 𝜉 𝜊 𝜋 𝜌 𝜍 𝜎 𝜏
U+1D71x 𝜐 𝜑 𝜒 𝜓 𝜔 𝜕 𝜖 𝜗 𝜘 𝜙 𝜚 𝜛 𝜜 𝜝 𝜞 𝜟
U+1D72x 𝜠 𝜡 𝜢 𝜣 𝜤 𝜥 𝜦 𝜧 𝜨 𝜩 𝜪 𝜫 𝜬 𝜭 𝜮 𝜯
U+1D73x 𝜰 𝜱 𝜲 𝜳 𝜴 𝜵 𝜶 𝜷 𝜸 𝜹 𝜺 𝜻 𝜼 𝜽 𝜾 𝜿
U+1D74x 𝝀 𝝁 𝝂 𝝃 𝝄 𝝅 𝝆 𝝇 𝝈 𝝉 𝝊 𝝋 𝝌 𝝍 𝝎 𝝏
U+1D75x 𝝐 𝝑 𝝒 𝝓 𝝔 𝝕 𝝖 𝝗 𝝘 𝝙 𝝚 𝝛 𝝜 𝝝 𝝞 𝝟
U+1D76x 𝝠 𝝡 𝝢 𝝣 𝝤 𝝥 𝝦 𝝧 𝝨 𝝩 𝝪 𝝫 𝝬 𝝭 𝝮 𝝯
U+1D77x 𝝰 𝝱 𝝲 𝝳 𝝴 𝝵 𝝶 𝝷 𝝸 𝝹 𝝺 𝝻 𝝼 𝝽 𝝾 𝝿
U+1D78x 𝞀 𝞁 𝞂 𝞃 𝞄 𝞅 𝞆 𝞇 𝞈 𝞉 𝞊 𝞋 𝞌 𝞍 𝞎 𝞏
U+1D79x 𝞐 𝞑 𝞒 𝞓 𝞔 𝞕 𝞖 𝞗 𝞘 𝞙 𝞚 𝞛 𝞜 𝞝 𝞞 𝞟
U+1D7Ax 𝞠 𝞡 𝞢 𝞣 𝞤 𝞥 𝞦 𝞧 𝞨 𝞩 𝞪 𝞫 𝞬 𝞭 𝞮 𝞯
U+1D7Bx 𝞰 𝞱 𝞲 𝞳 𝞴 𝞵 𝞶 𝞷 𝞸 𝞹 𝞺 𝞻 𝞼 𝞽 𝞾 𝞿
U+1D7Cx 𝟀 𝟁 𝟂 𝟃 𝟄 𝟅 𝟆 𝟇 𝟈 𝟉 𝟊 𝟋 𝟎 𝟏
U+1D7Dx 𝟐 𝟑 𝟒 𝟓 𝟔 𝟕 𝟖 𝟗 𝟘 𝟙 𝟚 𝟛 𝟜 𝟝 𝟞 𝟟
U+1D7Ex 𝟠 𝟡 𝟢 𝟣 𝟤 𝟥 𝟦 𝟧 𝟨 𝟩 𝟪 𝟫 𝟬 𝟭 𝟮 𝟯
U+1D7Fx 𝟰 𝟱 𝟲 𝟳 𝟴 𝟵 𝟶 𝟷 𝟸 𝟹 𝟺 𝟻 𝟼 𝟽 𝟾 𝟿
Notes
1.^ As of Unicode version 15.1
2.^ Grey areas indicate non-assigned code points

Letterlike Symbols block

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The Letterlike Symbols block (U+2100–U+214F) includes variables. Most alphabetic math symbols are in the Mathematical Alphanumeric Symbols block shown above.

The math subset of this block is U+2102, U+2107, U+210A–U+2113, U+2115, U+2118–U+211D, U+2124, U+2128–U+2129, U+212C–U+212D, U+212F–U+2131, U+2133–U+2138, U+213C–U+2149, and U+214B.[4]

Letterlike Symbols[1]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+210x
U+211x
U+212x
U+213x
U+214x
Notes
1.^ As of Unicode version 15.1

Miscellaneous Mathematical Symbols-A block

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The Miscellaneous Mathematical Symbols-A block (U+27C0–U+27EF) contains characters for mathematical, logical, and database notation.

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 15.1

Miscellaneous Mathematical Symbols-B block

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The Miscellaneous Mathematical Symbols-B block (U+2980–U+29FF) contains miscellaneous mathematical symbols, including brackets, angles, and circle symbols.

Miscellaneous Mathematical Symbols-B[1]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+298x
U+299x
U+29Ax
U+29Bx ⦿
U+29Cx
U+29Dx
U+29Ex
U+29Fx ⧿
Notes
1.^ As of Unicode version 15.1

Miscellaneous Technical block

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The Miscellaneous Technical block (U+2300–U+23FF) includes braces and operators.

The math subset of this block is U+2308–U+230B, U+2320–U+2321, U+237C, U+239B–U+23B5, 23B7, U+23D0, and U+23DC–U+23E2.

Miscellaneous Technical[1][2]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+230x
U+231x
U+232x
U+233x
U+234x
U+235x
U+236x
U+237x
U+238x
U+239x
U+23Ax
U+23Bx
U+23Cx
U+23Dx
U+23Ex
U+23Fx
Notes
1.^ As of Unicode version 15.1
2.^ Unicode code points U+2329 and U+232A are deprecated as of Unicode version 5.2

Geometric Shapes block

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The Geometric Shapes block (U+25A0–U+25FF) contains geometric shape symbols.

The math subset of this block is U+25A0–25A1, U+25AE–25B7, U+25BC–25C1, U+25C6–25C7, U+25CA–25CB, U+25CF–25D3, U+25E2, U+25E4, U+25E7–25EC, and U+25F8–25FF.

Geometric Shapes[1]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+25Ax
U+25Bx
U+25Cx
U+25Dx
U+25Ex
U+25Fx
Notes
1.^ As of Unicode version 15.1

Arrows block

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The Arrows block (U+2190–U+21FF) contains line, curve, and semicircle arrows and arrow-like operators.

The math subset of this block is U+2190–U+21A7, U+21A9–U+21AE, U+21B0–U+21B1, U+21B6–U+21B7, U+21BC–U+21DB, U+21DD, U+21E4–U+21E5, U+21F4–U+21FF.[5]

Arrows[1]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+219x
U+21Ax
U+21Bx
U+21Cx
U+21Dx
U+21Ex
U+21Fx
Notes
1.^ As of Unicode version 15.1

Supplemental Arrows-A block

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The Supplemental Arrows-A block (U+27F0–U+27FF) contains arrows and arrow-like operators.

Supplemental Arrows-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+27Fx
Notes
1.^ As of Unicode version 15.1

Supplemental Arrows-B block

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The Supplemental Arrows-B block (U+2900–U+297F) contains arrows and arrow-like operators (arrow tails, crossing arrows, curved arrows, and harpoons).

Supplemental Arrows-B[1]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+290x
U+291x
U+292x
U+293x ⤿
U+294x
U+295x
U+296x
U+297x ⥿
Notes
1.^ As of Unicode version 15.1

Miscellaneous Symbols and Arrows block

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The Miscellaneous Symbols and Arrows block (U+2B00–U+2BFF Arrows) contains arrows and geometric shapes with various fills.

The math subset of this block is U+2B30–U+2B44, U+2B47–U+2B4C.[6]

Miscellaneous Symbols and Arrows[1][2]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+2B0x
U+2B1x
U+2B2x
U+2B3x ⬿
U+2B4x
U+2B5x
U+2B6x
U+2B7x ⭿
U+2B8x
U+2B9x
U+2BAx
U+2BBx ⮿
U+2BCx
U+2BDx
U+2BEx
U+2BFx ⯿
Notes
1.^ As of Unicode version 15.1
2.^ Grey areas indicate non-assigned code points

Combining Diacritical Marks for Symbols block

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The Combining Diacritical Marks for Symbols block contains arrows, dots, enclosures, and overlays for modifying symbol characters.

The math subset of this block is U+20D0–U+20DC, U+20E1, U+20E5–U+20E6, and U+20EB–U+20EF.

Combining Diacritical Marks for Symbols[1][2]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+20Dx ◌⃐ ◌⃑ ◌⃒ ◌⃓ ◌⃔ ◌⃕ ◌⃖ ◌⃗ ◌⃘ ◌⃙ ◌⃚ ◌⃛ ◌⃜ ◌⃝ ◌⃞ ◌⃟
U+20Ex ◌⃠ ◌⃡ ◌⃢ ◌⃣ ◌⃤ ◌⃥ ◌⃦ ◌⃧ ◌⃨ ◌⃩ ◌⃪ ◌⃫ ◌⃬ ◌⃭ ◌⃮ ◌⃯
U+20Fx ◌⃰
Notes
1.^ As of Unicode version 15.1
2.^ Grey areas indicate non-assigned code points

Arabic Mathematical Alphabetic Symbols block

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The Arabic Mathematical Alphabetic Symbols block (U+1EE00–U+1EEFF) contains characters used in Arabic mathematical expressions.

Arabic Mathematical Alphabetic Symbols[1][2]
Official Unicode Consortium code chart (PDF)
  0 1 2 3 4 5 6 7 8 9 A B C D E F
U+1EE0x 𞸀 𞸁 𞸂 𞸃 𞸅 𞸆 𞸇 𞸈 𞸉 𞸊 𞸋 𞸌 𞸍 𞸎 𞸏
U+1EE1x 𞸐 𞸑 𞸒 𞸓 𞸔 𞸕 𞸖 𞸗 𞸘 𞸙 𞸚 𞸛 𞸜 𞸝 𞸞 𞸟
U+1EE2x 𞸡 𞸢 𞸤 𞸧 𞸩 𞸪 𞸫 𞸬 𞸭 𞸮 𞸯
U+1EE3x 𞸰 𞸱 𞸲 𞸴 𞸵 𞸶 𞸷 𞸹 𞸻
U+1EE4x 𞹂 𞹇 𞹉 𞹋 𞹍 𞹎 𞹏
U+1EE5x 𞹑 𞹒 𞹔 𞹗 𞹙 𞹛 𞹝 𞹟
U+1EE6x 𞹡 𞹢 𞹤 𞹧 𞹨 𞹩 𞹪 𞹬 𞹭 𞹮 𞹯
U+1EE7x 𞹰 𞹱 𞹲 𞹴 𞹵 𞹶 𞹷 𞹹 𞹺 𞹻 𞹼 𞹾
U+1EE8x 𞺀 𞺁 𞺂 𞺃 𞺄 𞺅 𞺆 𞺇 𞺈 𞺉 𞺋 𞺌 𞺍 𞺎 𞺏
U+1EE9x 𞺐 𞺑 𞺒 𞺓 𞺔 𞺕 𞺖 𞺗 𞺘 𞺙 𞺚 𞺛
U+1EEAx 𞺡 𞺢 𞺣 𞺥 𞺦 𞺧 𞺨 𞺩 𞺫 𞺬 𞺭 𞺮 𞺯
U+1EEBx 𞺰 𞺱 𞺲 𞺳 𞺴 𞺵 𞺶 𞺷 𞺸 𞺹 𞺺 𞺻
U+1EECx
U+1EEDx
U+1EEEx
U+1EEFx 𞻰 𞻱
Notes
1.^ As of Unicode version 15.1
2.^ Grey areas indicate non-assigned code points

Characters in other blocks

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Mathematical characters also appear in other blocks. Below is a list of these characters as of Unicode version 15.1:

U+002B + PLUS SIGN
U+002D - HYPHEN-MINUS[7]
U+003C < LESS-THAN SIGN
U+003D = EQUALS SIGN
U+003E > GREATER-THAN SIGN
U+005E ^ CIRCUMFLEX ACCENT
U+007C | VERTICAL LINE
U+007E ~ TILDE
U+00AC ¬ NOT SIGN
U+00B0 ° DEGREE SIGN[8]
U+00B1 ± PLUS-MINUS SIGN
U+00D7 × MULTIPLICATION SIGN
U+00F7 ÷ DIVISION SIGN
U+03D0 ϐ GREEK BETA SYMBOL
U+03D1 ϑ GREEK THETA SYMBOL
U+03D2 ϒ GREEK UPSILON WITH HOOK SYMBOL
U+03D5 ϕ GREEK PHI SYMBOL
U+03F0 ϰ GREEK KAPPA SYMBOL
U+03F1 ϱ GREEK RHO SYMBOL
U+03F4 ϴ GREEK CAPITAL THETA SYMBOL
U+03F5 ϵ GREEK LUNATE EPSILON SYMBOL
U+03F6 ϶ GREEK REVERSED LUNATE EPSILON SYMBOL
U+0606 ؆ ARABIC-INDIC CUBE ROOT
U+0607 ؇ ARABIC-INDIC FOURTH ROOT
U+0608 ؈ ARABIC RAY
U+2016 DOUBLE VERTICAL LINE
U+2032 PRIME
U+2033 DOUBLE PRIME
U+2034 TRIPLE PRIME
U+2040 CHARACTER TIE
U+2044 FRACTION SLASH
U+2052 COMMERCIAL MINUS SIGN
U+2061 note FUNCTION APPLICATION
U+2062 note INVISIBLE TIMES
U+2063 note INVISIBLE SEPARATOR
U+2064 note INVISIBLE PLUS

Note: non-marking character

U+207A SUPERSCRIPT PLUS SIGN
U+207B SUPERSCRIPT MINUS
U+207C SUPERSCRIPT EQUALS SIGN
U+207D SUPERSCRIPT LEFT PARENTHESIS
U+207E SUPERSCRIPT RIGHT PARENTHESIS
U+208A SUBSCRIPT PLUS SIGN
U+208B SUBSCRIPT MINUS
U+208C SUBSCRIPT EQUALS SIGN
U+208D SUBSCRIPT LEFT PARENTHESIS
U+208E SUBSCRIPT RIGHT PARENTHESIS
U+2605 BLACK STAR
U+2606 WHITE STAR
U+2640 FEMALE SIGN
U+2642 MALE SIGN
U+2660 BLACK SPADE SUIT
U+2661 WHITE HEART SUIT
U+2662 WHITE DIAMOND SUIT
U+2663 BLACK CLUB SUIT
U+266D MUSIC FLAT SIGN
U+266E MUSIC NATURAL SIGN
U+266F MUSIC SHARP SIGN
U+FB29 HEBREW LETTER ALTERNATIVE PLUS SIGN
U+FE61 SMALL ASTERISK
U+FE62 SMALL PLUS SIGN
U+FE63 SMALL HYPHEN-MINUS
U+FE64 SMALL LESS-THAN SIGN
U+FE65 SMALL GREATER-THAN SIGN
U+FE66 SMALL EQUALS SIGN
U+FE68 SMALL REVERSE SOLIDUS
U+FF0B FULLWIDTH PLUS SIGN
U+FF1C FULLWIDTH LESS-THAN SIGN
U+FF1D FULLWIDTH EQUALS SIGN
U+FF1E FULLWIDTH GREATER-THAN SIGN
U+FF3C FULLWIDTH REVERSE SOLIDUS
U+FF3E FULLWIDTH CIRCUMFLEX ACCENT
U+FF5C FULLWIDTH VERTICAL LINE
U+FF5E FULLWIDTH TILDE
U+FFE2 FULLWIDTH NOT SIGN
U+FFE9 HALFWIDTH LEFTWARDS ARROW
U+FFEA HALFWIDTH UPWARDS ARROW
U+FFEB HALFWIDTH RIGHTWARDS ARROW
U+FFEC HALFWIDTH DOWNWARDS ARROW

See also

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References

[edit]
  1. ^ a b "Unicode Technical Report #25: Unicode Support for Mathematics" (PDF). The Unicode Consortium. 2 April 2012. Retrieved 14 August 2014.
  2. ^ "Unicode Character Database: Derived Core Properties". The Unicode Consortium. 19 February 2014. Retrieved 14 August 2014.
  3. ^ "Unicode Technical Annex #44: Unicode Character Database" (PDF). The Unicode Consortium. 25 September 2013. Retrieved 14 August 2014.
  4. ^ See https://www.unicode.org/Public/UCD/latest/ucd/DerivedCoreProperties.txt
  5. ^ More symbols are supported by TeX math packages, see e.g. Will Robertson, Symbols defined by unicode-math.
  6. ^ The quadruple arrows U+2B45 and U+2B46 are supported by TeX math packages, per Will Robertson, Symbols defined by unicode-math.
  7. ^ As per Unicode 15.1.0, the ASCII hyphen-minus is not a mathematical symbol. To express the minus sign in math, U+2212 MINUS SIGN is used instead.
  8. ^ As per Unicode 15.1.0, the degree sign is not a mathematical symbol, since it is a measurement unit symbol rather than a math symbol. Consistently, TeX packages support many non-math symbols. But this article is designed to cover only Unicode characters with a derived property of "Math".
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