Mathematical Alphanumeric Symbols
Mathematical Alphanumeric Symbols | |
---|---|
Range | U+1D400..U+1D7FF (1,024 code points) |
Plane | SMP |
Scripts | Common |
Symbol sets | Mathematical |
Assigned | 996 code points |
Unused | 28 reserved code points |
Unicode version history | |
3.1 (2001) | 991 (+991) |
4.0 (2003) | 992 (+1) |
4.1 (2005) | 994 (+2) |
5.0 (2006) | 996 (+2) |
Unicode documentation | |
Code chart ∣ Web page | |
Note: [1] [2] |
Mathematical Alphanumeric Symbols is a Unicode block comprising styled forms of Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles. The letters in various fonts often have specific, fixed meanings in particular areas of mathematics. By providing uniformity over numerous mathematical articles and books, these conventions help to read mathematical formulas. These also may be used to differentiate between concepts that share a letter in a single problem.
Unicode now includes many such symbols (in the range U+1D400–U+1D7FF). The rationale behind this is that it enables design and usage of special mathematical characters (fonts) that include all necessary properties to differentiate from other alphanumerics, e.g. in mathematics an italic "A" can have a different meaning from a roman letter "A". Unicode originally included a limited set of such letter forms in its Letterlike Symbols block before completing the set of Latin and Greek letter forms in this block beginning in version 3.1.
Unicode expressly recommends that these characters not be used in general text as a substitute for presentational markup;[3] the letters are specifically designed to be semantically different from each other. Unicode does not include a set of normal serif letters in the set.[a] Still they have found some usage on social media, for example by people who want a stylized user name,[4] and in email spam, in an attempt to bypass filters.
All these letter shapes may be manipulated with MathML's attribute mathvariant.
The introduction date of some of the more commonly used symbols can be found in the Table of mathematical symbols by introduction date.
Tables of styled letters and digits
[edit ]These tables show all styled forms of Latin and Greek letters, symbols and digits in the Unicode Standard, with the normal unstyled forms of these characters shown with a cyan background (the basic unstyled letters may be serif or sans-serif depending upon the font). The styled characters are mostly located in the Mathematical Alphanumeric Symbols block, but the 24 characters in cells with a pink background are located in the letterlike symbols block, for example, R (script capital r) is at U+211B rather than the expected U+1D4AD which is reserved. In the code charts for the Unicode Standard, the reserved code points corresponding to the pink cell are annotated with the name and code point of the correct character.[5] There are a few characters which have names that suggest that they should belong in the tables below, but in fact do not because their official character names are misnomers:
- U+2113 ℓ SCRIPT SMALL L ; "despite its character name, this symbol is derived from a special italicized version of the small letter l".[6] It has various other specialized uses, such as a liter symbol and as the azimuthal quantum number symbol.
- U+2118 ℘ SCRIPT CAPITAL P is a symbol for Weierstrass's elliptic function.[7] It is officially aliased as U+2118 ℘ WEIERSTRASS ELLIPTIC FUNCTION.
Latin letters
[edit ]The Unicode values of the characters in the tables below, except those shown with pink backgrounds or index values of '–', are obtained by adding the base values from the "U+" header row to the index values in the left column (both values are hexadecimal).
Serif | Sans-serif | Script (or calligraphy) | Fraktur | Mono- space |
Double- struck | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Normal | Bold | Italic | Bold italic |
Normal | Bold | Italic | Bold italic |
Normal | Bold | Normal | Bold | Normal | Bold | |
U+ | 0041 | 1D400 | 1D434 | 1D468 | 1D5A0 | 1D5D4 | 1D608 | 1D63C | 1D49C | 1D4D0 | 1D504 | 1D56C | 1D670 | 1D538 |
00 | A | A | A | A | A | A | A | A | A | A | A | A | A | A |
01 | B | B | B | B | B | B | B | B | B | B | B | B | B | B |
02 | C | C | C | C | C | C | C | C | C | C | C | C | C | C |
03 | D | D | D | D | D | D | D | D | D | D | D | D | D | D |
04 | E | E | E | E | E | E | E | E | E | E | E | E | E | E |
05 | F | F | F | F | F | F | F | F | F | F | F | F | F | F |
06 | G | G | G | G | G | G | G | G | G | G | G | G | G | G |
07 | H | H | H | H | H | H | H | H | H | H | H | H | H | H |
08 | I | I | I | I | I | I | I | I | I | I | I | I | I | I |
09 | J | J | J | J | J | J | J | J | J | J | J | J | J | J |
0A | K | K | K | K | K | K | K | K | K | K | K | K | K | K |
0B | L | L | L | L | L | L | L | L | L | L | L | L | L | L |
0C | M | M | M | M | M | M | M | M | M | M | M | M | M | M |
0D | N | N | N | N | N | N | N | N | N | N | N | N | N | N |
0E | O | O | O | O | O | O | O | O | O | O | O | O | O | O |
0F | P | P | P | P | P | P | P | P | P | P | P | P | P | P |
10 | Q | Q | Q | Q | Q | Q | Q | Q | Q | Q | Q | Q | Q | Q |
11 | R | R | R | R | R | R | R | R | R | R | R | R | R | R |
12 | S | S | S | S | S | S | S | S | S | S | S | S | S | S |
13 | T | T | T | T | T | T | T | T | T | T | T | T | T | T |
14 | U | U | U | U | U | U | U | U | U | U | U | U | U | U |
15 | V | V | V | V | V | V | V | V | V | V | V | V | V | V |
16 | W | W | W | W | W | W | W | W | W | W | W | W | W | W |
17 | X | X | X | X | X | X | X | X | X | X | X | X | X | X |
18 | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y |
19 | Z | Z | Z | Z | Z | Z | Z | Z | Z | Z | Z | Z | Z | Z |
Serif | Sans-serif | Script (or calligraphy) | Fraktur | Mono- space |
Double- struck | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Normal | Bold | Italic | Bold italic |
Normal | Bold | Italic | Bold italic |
Normal | Bold | Normal | Bold | Normal | Bold | |
U+ | 0061 | 1D41A | 1D44E | 1D482 | 1D5BA | 1D5EE | 1D622 | 1D656 | 1D4B6 | 1D4EA | 1D51E | 1D586 | 1D68A | 1D552 |
00 | a | a | a | a | a | a | a | a | a | a | a | a | a | a |
01 | b | b | b | b | b | b | b | b | b | b | b | b | b | b |
02 | c | c | c | c | c | c | c | c | c | c | c | c | c | c |
03 | d | d | d | d | d | d | d | d | d | d | d | d | d | d |
04 | e | e | e | e | e | e | e | e | e | e | e | e | e | e |
05 | f | f | f | f | f | f | f | f | f | f | f | f | f | f |
06 | g | g | g | g | g | g | g | g | g | g | g | g | g | g |
07 | h | h | h | h | h | h | h | h | h | h | h | h | h | h |
08 | i | i | i | i | i | i | i | i | i | i | i | i | i | i |
09 | j | j | j | j | j | j | j | j | j | j | j | j | j | j |
0A | k | k | k | k | k | k | k | k | k | k | k | k | k | k |
0B | l | l | l | l | l | l | l | l | l | l | l | l | l | l |
0C | m | m | m | m | m | m | m | m | m | m | m | m | m | m |
0D | n | n | n | n | n | n | n | n | n | n | n | n | n | n |
0E | o | o | o | o | o | o | o | o | o | o | o | o | o | o |
0F | p | p | p | p | p | p | p | p | p | p | p | p | p | p |
10 | q | q | q | q | q | q | q | q | q | q | q | q | q | q |
11 | r | r | r | r | r | r | r | r | r | r | r | r | r | r |
12 | s | s | s | s | s | s | s | s | s | s | s | s | s | s |
13 | t | t | t | t | t | t | t | t | t | t | t | t | t | t |
14 | u | u | u | u | u | u | u | u | u | u | u | u | u | u |
15 | v | v | v | v | v | v | v | v | v | v | v | v | v | v |
16 | w | w | w | w | w | w | w | w | w | w | w | w | w | w |
17 | x | x | x | x | x | x | x | x | x | x | x | x | x | x |
18 | y | y | y | y | y | y | y | y | y | y | y | y | y | y |
19 | z | z | z | z | z | z | z | z | z | z | z | z | z | z |
– | ı | ı | ||||||||||||
– | ȷ | ȷ |
Greek letters and symbols
[edit ]The Unicode values of the characters in the tables below, except those shown with yellow backgrounds or index values of '–', are obtained by adding the base values from the "U+" header row to the index values in the left column (both values are hexadecimal).
Normal | Bold | Italic | Bold italic |
Sans- serif bold |
Sans- serif bold italic | |
---|---|---|---|---|---|---|
U+ | 0391 | 1D6A8 | 1D6E2 | 1D71C | 1D756 | 1D790 |
00 | Α | Α | Α | Α | Α | Α |
01 | Β | Β | Β | Β | Β | Β |
02 | Γ | Γ | Γ | Γ | Γ | Γ |
03 | Δ | Δ | Δ | Δ | Δ | Δ |
04 | Ε | Ε | Ε | Ε | Ε | Ε |
05 | Ζ | Ζ | Ζ | Ζ | Ζ | Ζ |
06 | Η | Η | Η | Η | Η | Η |
07 | Θ | Θ | Θ | Θ | Θ | Θ |
08 | Ι | Ι | Ι | Ι | Ι | Ι |
09 | Κ | Κ | Κ | Κ | Κ | Κ |
0A | Λ | Λ | Λ | Λ | Λ | Λ |
0B | Μ | Μ | Μ | Μ | Μ | Μ |
0C | Ν | Ν | Ν | Ν | Ν | Ν |
0D | Ξ | Ξ | Ξ | Ξ | Ξ | Ξ |
0E | Ο | Ο | Ο | Ο | Ο | Ο |
0F | Π | Π | Π | Π | Π | Π |
10 | Ρ | Ρ | Ρ | Ρ | Ρ | Ρ |
11 | Θ | Θ | Θ | Θ | Θ | Θ |
12 | Σ | Σ | Σ | Σ | Σ | Σ |
13 | Τ | Τ | Τ | Τ | Τ | Τ |
14 | Υ | Υ | Υ | Υ | Υ | Υ |
15 | Φ | Φ | Φ | Φ | Φ | Φ |
16 | Χ | Χ | Χ | Χ | Χ | Χ |
17 | Ψ | Ψ | Ψ | Ψ | Ψ | Ψ |
18 | Ω | Ω | Ω | Ω | Ω | Ω |
19 | ∇ | ∇ | ∇ | ∇ | ∇ | ∇ |
– | Ϝ | Ϝ |
Normal | Bold | Italic | Bold italic |
Sans- serif bold |
Sans- serif bold italic | |
---|---|---|---|---|---|---|
U+ | 03B1 | 1D6C2 | 1D6FC | 1D736 | 1D770 | 1D7AA |
00 | α | α | α | α | α | α |
01 | β | β | β | β | β | β |
02 | γ | γ | γ | γ | γ | γ |
03 | δ | δ | δ | δ | δ | δ |
04 | ε | ε | ε | ε | ε | ε |
05 | ζ | ζ | ζ | ζ | ζ | ζ |
06 | η | η | η | η | η | η |
07 | θ | θ | θ | θ | θ | θ |
08 | ι | ι | ι | ι | ι | ι |
09 | κ | κ | κ | κ | κ | κ |
0A | λ | λ | λ | λ | λ | λ |
0B | μ | μ | μ | μ | μ | μ |
0C | ν | ν | ν | ν | ν | ν |
0D | ξ | ξ | ξ | ξ | ξ | ξ |
0E | ο | ο | ο | ο | ο | ο |
0F | π | π | π | π | π | π |
10 | ρ | ρ | ρ | ρ | ρ | ρ |
11 | ς | ς | ς | ς | ς | ς |
12 | σ | σ | σ | σ | σ | σ |
13 | τ | τ | τ | τ | τ | τ |
14 | υ | υ | υ | υ | υ | υ |
15 | φ | φ | φ | φ | φ | φ |
16 | χ | χ | χ | χ | χ | χ |
17 | ψ | ψ | ψ | ψ | ψ | ψ |
18 | ω | ω | ω | ω | ω | ω |
19 | ∂ | ∂ | ∂ | ∂ | ∂ | ∂ |
1A | ε | ε | ε | ε | ε | ε |
1B | θ | θ | θ | θ | θ | θ |
1C | κ | κ | κ | κ | κ | κ |
1D | φ | φ | φ | φ | φ | φ |
1E | ρ | ρ | ρ | ρ | ρ | ρ |
1F | π | π | π | π | π | π |
– | ϝ | ϝ |
Digits
[edit ]The Unicode values of the characters in the tables below are obtained by adding the hexadecimal base values from the "U+" header row to the index values in the left column.
Normal | Bold | Double- struck |
Sans- serif |
Sans- serif bold |
Mono- space | |
---|---|---|---|---|---|---|
U+ | 0030 | 1D7CE | 1D7D8 | 1D7E2 | 1D7EC | 1D7F6 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 | 1 | 1 | 1 |
2 | 2 | 2 | 2 | 2 | 2 | 2 |
3 | 3 | 3 | 3 | 3 | 3 | 3 |
4 | 4 | 4 | 4 | 4 | 4 | 4 |
5 | 5 | 5 | 5 | 5 | 5 | 5 |
6 | 6 | 6 | 6 | 6 | 6 | 6 |
7 | 7 | 7 | 7 | 7 | 7 | 7 |
8 | 8 | 8 | 8 | 8 | 8 | 8 |
9 | 9 | 9 | 9 | 9 | 9 | 9 |
Glyph variants
[edit ]Variation selectors may be used to specify chancery (U+FE00) vs roundhand (U+FE01) forms, if a computer font is available that supports them:
Code point | Plain | FE00 | FE01 |
---|---|---|---|
U+1D49C | 𝒜 | 𝒜︀ | 𝒜︁ |
U+212C | ℬ | ℬ︀ | ℬ︁ |
U+1D49E | 𝒞 | 𝒞︀ | 𝒞︁ |
U+1D49F | 𝒟 | 𝒟︀ | 𝒟︁ |
U+2130 | ℰ | ℰ︀ | ℰ︁ |
U+2131 | ℱ | ℱ︀ | ℱ︁ |
U+1D4A2 | 𝒢 | 𝒢︀ | 𝒢︁ |
U+210B | ℋ | ℋ︀ | ℋ︁ |
U+2110 | ℐ | ℐ︀ | ℐ︁ |
U+1D4A5 | 𝒥 | 𝒥︀ | 𝒥︁ |
U+1D4A6 | 𝒦 | 𝒦︀ | 𝒦︁ |
U+2112 | ℒ | ℒ︀ | ℒ︁ |
U+2133 | ℳ | ℳ︀ | ℳ︁ |
U+1D4A9 | 𝒩 | 𝒩︀ | 𝒩︁ |
U+1D4AA | 𝒪 | 𝒪︀ | 𝒪︁ |
U+1D4AB | 𝒫 | 𝒫︀ | 𝒫︁ |
U+1D4AC | 𝒬 | 𝒬︀ | 𝒬︁ |
U+211B | ℛ | ℛ︀ | ℛ︁ |
U+1D4AE | 𝒮 | 𝒮︀ | 𝒮︁ |
U+1D4AF | 𝒯 | 𝒯︀ | 𝒯︁ |
U+1D4B0 | 𝒰 | 𝒰︀ | 𝒰︁ |
U+1D4B1 | 𝒱 | 𝒱︀ | 𝒱︁ |
U+1D4B2 | 𝒲 | 𝒲︀ | 𝒲︁ |
U+1D4B3 | 𝒳 | 𝒳︀ | 𝒳︁ |
U+1D4B4 | 𝒴 | 𝒴︀ | 𝒴︁ |
U+1D4B5 | 𝒵 | 𝒵︀ | 𝒵︁ |
Chart for the Mathematical Alphanumeric Symbols block
[edit ]History
[edit ]The following Unicode-related documents record the purpose and process of defining specific characters in the Mathematical Alphanumeric Symbols block:
Version | Final code points[b] | Count | L2 ID | WG2 ID | Document |
---|---|---|---|---|---|
3.1 | U+1D400..1D454, 1D456..1D49C, 1D49E..1D49F, 1D4A2, 1D4A5..1D4A6, 1D4A9..1D4AC, 1D4AE..1D4B9, 1D4BB, 1D4BD..1D4C0, 1D4C2..1D4C3, 1D4C5..1D505, 1D507..1D50A, 1D50D..1D514, 1D516..1D51C, 1D51E..1D539, 1D53B..1D53E, 1D540..1D544, 1D546, 1D54A..1D550, 1D552..1D6A3, 1D6A8..1D7C9, 1D7CE..1D7FF | 991 | L2/98-405 | Beeton, Barbara; Ion, Patrick (1998年12月01日), Proposal to encode additional mathematical and technical symbols in ISO/IEC 10646 | |
L2/98-406 | Sargent, Murray (1998年12月01日), Proposal to encode mathematical variant tags | ||||
L2/99-049 | Beeton, Barbara (1999年01月22日), Addendum to L2/98-405: Request for assignment of codes to mathematical and technical symbols | ||||
L2/99-045 | Sargent, Murray; Beeton, Barbara (1999年02月04日), Proposal to encode mathematical alphanumeric symbols | ||||
L2/98-419 (pdf, doc) | Aliprand, Joan (1999年02月05日), "Mathematical Symbols", Approved Minutes -- UTC #78 & NCITS Subgroup L2 # 175 Joint Meeting, San Jose, CA -- December 1-4, 1998 | ||||
L2/99-188 | Beeton, Barbara; Sargent, Murray (1999年06月09日), Proposal to encode mathematical alphanumeric symbols | ||||
L2/99-176R | Moore, Lisa (1999年11月04日), "Math", Minutes from the joint UTC/L2 meeting in Seattle, June 8-10, 1999 | ||||
L2/99-199 | Freytag, Asmus (1999年06月14日), Math Alphabets | ||||
L2/99-054R | Aliprand, Joan (1999年06月21日), "Math Variants", Approved Minutes from the UTC/L2 meeting in Palo Alto, February 3-5, 1999 | ||||
L2/99-195 | N2086 (html, doc) | Sargent, Murray; Beeton, Barbara (1999年09月02日), Proposal to encode mathematical alphanumeric symbols | |||
L2/00-010 | N2103 | Umamaheswaran, V. S. (2000年01月05日), "10.2", Minutes of WG 2 meeting 37, Copenhagen, Denmark: 1999年09月13日—16 | |||
L2/00-002 | Beeton, Barbara (2000年01月09日), Request for assignment of codes to mathematical and technical symbols that do not appear in Unicode 2.0 or ISO/IEC 10646 | ||||
L2/00-005R2 | Moore, Lisa (2000年02月14日), "Motion 82-M4", Minutes of UTC #82 in San Jose | ||||
L2/00-074 | N2168 | Karlsson, Kent (2000年03月02日), Comments on "Math Alphanumeric" characters for 10646-2 | |||
L2/00-094 | N2191 | Proposal for Encoding Additional Mathematical Symbols in the BMP, 2000年03月14日 | |||
L2/00-119 [c] | N2191R | Whistler, Ken; Freytag, Asmus (2000年04月19日), Encoding Additional Mathematical Symbols in Unicode | |||
L2/00-239 | Davis, Mark (2000年07月07日), Mathematical Letter Symbols | ||||
L2/00-240 | Whistler, Ken (2000年07月07日), Re: Mathematical Letter Symbols | ||||
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 | |||
L2/00-249 | Karlsson, Kent (2000年08月03日), Re: UTC Agenda item: Mathematical Letter Symbols | ||||
L2/00-250 | Davis, Mark (2000年08月03日), Re: UTC Agenda item: Mathematical Letter Symbols | ||||
L2/00-251 | Whistler, Ken (2000年08月03日), Re: UTC Agenda item: Mathematical Letter Symbols | ||||
L2/00-115R2 | Moore, Lisa (2000年08月08日), "Motion 83-M11", Minutes Of UTC Meeting #83 | ||||
L2/00-271 | Sargent, Murray (2000年08月11日), A Few Remarks Concerning the Math Alphanumerics | ||||
L2/00-280 | Whistler, Ken (2000年08月22日), Math alphanumerics and MathML: A challenge | ||||
L2/00-187 | Moore, Lisa (2000年08月23日), "Math Alphanumeric Characters", UTC minutes -- Boston, August 8-11, 2000 | ||||
L2/00-336 | N2272 | Freytag, Asmus (2000年09月15日), On the requirements for alphanumeric fonts for mathematical use | |||
L2/01-050 | N2253 | Umamaheswaran, V. S. (2001年01月21日), "8.1 Disposition of ballot comments on FCD 10646-2", Minutes of the SC2/WG2 meeting in Athens, September 2000 | |||
L2/02-366 | Pantelia, Maria (2002年11月07日), Proposal to encode two Letterlike Symbols in the UCS | ||||
L2/02-345 | Moore, Lisa (2002年11月18日), "Consensus 93-C18", UTC #93 Minutes | ||||
L2/20-275R | Sargent, Murray (2021年01月05日), Proposed variation sequences for math calligraphic letters | ||||
L2/20-281 | Hudson, John (2020年11月10日), Recent evolution of math alphabetic calligraphic script style | ||||
L2/21-016R | Anderson, Deborah; Whistler, Ken; Pournader, Roozbeh; Moore, Lisa; Liang, Hai (2021年01月14日), "25 Math Calligraphic Alphabets", Recommendations to UTC #166 January 2021 on Script Proposals | ||||
L2/21-009 | Moore, Lisa (2021年01月27日), "Consensus 166-C33", UTC #166 Minutes, The UTC accepts 52 variation sequences to distinguish roundhand and chancery style mathematical script alphabetic characters | ||||
4.0 | U+1D4C1 | 1 | N2449 | Defect Report on MATHEMATICAL SCRIPT SMALL L, 2002年05月15日 | |
L2/02-372 | N2453 (pdf, doc) | Umamaheswaran, V. S. (2002年10月30日), "12.2 Mathematical script - SMALL L", Unconfirmed minutes of WG 2 meeting 42 | |||
4.1 | U+1D6A4..1D6A5 | 2 | L2/03-194 | N2590 | Freytag, Asmus (2003年06月09日), Additional Mathematical and Letterlike Characters |
5.0 | U+1D7CA..1D7CB | 2 | L2/04-406 | Freytag, Asmus; Sargent, Murray; Beeton, Barbara; Carlisle, David (2004年11月15日), Progress report on Mathematical Symbols | |
L2/04-410 | Freytag, Asmus (2004年11月18日), Twenty six mathematical characters | ||||
|
See also
[edit ]- Greek letters used in mathematics, science, and engineering
- List of mathematical uses of Latin letters
- Mathematical operators and symbols in Unicode
- OpenType fonts feature mgrk
- Mathematical notation
- Symbols for Legacy Computing Supplement for outlined Latin glyphs and numerals
References
[edit ]- ^ "Unicode character database". The Unicode Standard. Retrieved 2023年07月26日.
- ^ "Enumerated Versions of The Unicode Standard". The Unicode Standard. Retrieved 2023年07月26日.
- ^ "22.2 Letterlike Symbols". The Unicode Standard, Version 13.0 (PDF). Mountain View, CA: Unicode, Inc. March 2020.
- ^ "Bold and Cursive Unicode Text Tool - Bold and Cursive". Bold Text Generator Tool. 2023年07月18日. Retrieved 2023年07月18日.
- ^ Unicode code chart U1D400 (PDF)
- ^ ""Letterlike Symbols", The Unicode Standard, Version 16.0 - U2100" (PDF). Unicode Consortium. Retrieved 2024年10月13日.
- ^ "Unicode Technical Note #27: Known Anomalies in Unicode Character Names". Unicode Consortium. 2006年05月08日. Retrieved 2011年06月11日.