قائمة الرموز الرياضية حسب الموضوع
The following list of mathematical symbols by subject features a selection of the most common symbols used in modern mathematical notation within formulas, grouped by mathematical topic. As it is impossible to know if a complete list existing today of all symbols used in history is a representation of all ever used in history, as this would necessitate knowing if extant records are of all usages, only those symbols which occur often in mathematics or mathematics education are included. Many of the characters are standardized, for example in DIN 1302 General mathematical symbols or DIN EN ISO 80000-2 Quantities and units – Part 2: Mathematical signs for science and technology.
The following list is largely limited to non-alphanumeric characters. It is divided by areas of mathematics and grouped within sub-regions. Some symbols have a different meaning depending on the context and appear accordingly several times in the list. Further information on the symbols and their meaning can also be found in the respective linked articles.
Guide
The following information is provided for each mathematical symbol:
- Symbol
- The symbol as it is represented by LaTeX. If there are several typographic variants, only one of the variants is shown.
- Usage
- An exemplary use of the symbol in a formula. Letters here stand as a placeholder for numbers, variables or complex expressions. Different possible applications are listed separately.
- Articles with usage
- Examples of Wikipedia articles in which the symbol is used.
- LaTeX
- The LaTeX command that creates the icon. Characters from the ASCII character set can be used directly, with a few exceptions (e.g., pound sign #, backslash \, braces {}, and percent sign %). High-and low-position is indicated via the ^ and _ characters, and is not explicitly specified.
- HTML
- The icon in HTML, if it is defined as a named mark. Non-named characters can be indicated in the form
&#xnnnn
by specifying the Unicode code point of the next column. High-and low-position can be indicated via<sup></sup>
and<sub></sub>
. The character × whose HTML code istimes
can be displayed by typing×
. - Unicode
- The code point of the corresponding Unicode character. Some characters are combining and require the entry of additional characters. For brackets, the code points of opening and closing forms are specified. The Unicode character ⨯ whose hexadecimal value is
U+2A2F
can be displayed by typing⨯
where#x
indicates that the value in hexadecimal.
Numbers
Number sets
Symbol | Unicode character | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|
𝔸 | Algebraic number | \mathbb{A}
|
𝔸
|
U+1D538
| |
ℂ | Complex number | \mathbb{C} , \Complex
|
ℂ
|
U+2102
| |
ℍ | Quaternion | \mathbb{H} , \mathbb{H}
|
ℍ
|
U+210D
| |
ℕ | Natural number | \mathbb{N} , \N
|
ℕ
|
U+2115
| |
𝕆 | Octonion | \mathbb{O}
|
𝕆
|
U+1D546
| |
ℚ | Rational number | \mathbb{Q} , \Q
|
ℚ
|
U+211A
| |
ℝ | Real number | \mathbb{R} , \R , \Reals
|
ℝ
|
U+211D
| |
𝕊 | Sedenion | \mathbb{S}
|
𝕊
|
U+1D54A
| |
ℤ | Integer | \mathbb{Z} , \Z
|
ℤ
|
U+2124
|
Intervals
Symbol | Usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|
( ) [ ]
|
( ) [ ]
|
U+0028/9 U+005B/D
| ||
Mathematical constants
Symbol | Unicode character | Articles with usage | LaTeX | HTML | Template | Unicode Hex | Note |
---|---|---|---|---|---|---|---|
π | Pi | \pi
|
π
|
{{pi}}
|
U+03C0
|
||
or | e | e (mathematics) | e or \mathrm{e}
|
e
|
U+0065
|
Recommend {{mvar|e}} or {{math|e}} over e
| |
ϕ | Golden ratio | \phi
|
φ
|
{{phi}}
|
U+03C6
|
||
φ | \varphi
|
ϕ
|
{{varphi}}
|
U+03D5
|
|||
or | i | Imaginary unit | i or \mathrm{i}
|
i
|
U+0069
|
Recommend {{mvar|i}} or {{math|i}} over i
| |
γ | Euler–Mascheroni constant | \gamma
|
γ
|
{{gamma}}
|
U+03B3
|
||
ε | Vacuum permittivity | \epsilon
|
ε
|
{{epsilon}}
|
U+03B5
|
||
ϵ | Dual number | \varepsilon
|
ϵ
|
{{varepsilon}}
|
U+03F5
|
||
θ | Mills' constant | \theta
|
θ
|
{{theta}}
|
U+03B8
|
||
ϑ | \vartheta
|
ϑ
|
{{vartheta}}
|
U+03D1
|
|||
σ | Somos' quadratic recurrence constant | \sigma
|
σ
|
{{sigma}}
|
U+03C3
|
||
ς | \varsigma
|
ς
|
{{varsigma}}
|
U+03C2
|
|||
κ | Einstein gravitational constant | \kappa
|
κ
|
{{kappa}}
|
U+03BA
|
||
λ | Prouhet–Thue–Morse constant | \lambda
|
λ
|
{{lambda}}
|
U+03BB
|
||
μ | Ramanujan–Soldner constant | \mu
|
μ
|
{{mu}}
|
U+03BC
|
||
τ | Prouhet–Thue–Morse constant | \tau
|
τ
|
{{tau}}
|
U+03C4
|
Complex numbers
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
ℑ | Complex number | \Im
|
ℑ
|
U+2111
| ||
Im | \operatorname{Im}
|
Im
|
||||
ℜ | \Re
|
ℜ
|
U+211C
| |||
Re | \operatorname{Re}
|
Re
|
||||
◌̄ | Complex conjugate | \bar
|
̄
|
U+0304
| ||
◌̄̄ | \bar{\bar{}}
|
̄̄
| ||||
◌̅ | \overline
|
̅
|
U+0305
| |||
◌̅̅ | \overline{\overline{}}
|
̅̅
| ||||
* | {}^\ast
|
*
|
U+002A
| |||
| | Absolute value | \vert
|
|
|
U+007C
| ||
Polar coordinate system | \arg
|
- Remark: real and imaginary parts of a complex number are often also denoted by and .
Elementary arithmetic operations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex | Notes |
---|---|---|---|---|---|---|---|
+ | Addition | +
|
+
|
U+002B
|
|||
− | Subtraction | -
|
−
|
U+2212
|
|||
⋅ | Multiplication | \cdot
|
⋅
|
U+22C5
|
|||
⨯ | \times
|
×
|
U+2A2F
|
||||
∶ or : | Division (mathematics) | : , \colon
|
∶ or :
|
U+003A or U+2236
|
In LaTeX, : added space around the colon that \colon does not .
| ||
∕ | /
|
∕
|
U+2215
|
||||
÷ | \div
|
÷
|
U+00F7
|
||||
⁄ | \frac{a}{b} \tfrac{a}{b} (inline)\dfrac{a}{b} (display)\cfrac{a}{b} (continued fraction)
|
⁄
|
U+2044
|
<sup>a</sup>⁄<sub>b</sub> renders as: a⁄b
| |||
⁻ | Multiplicative inverse | ^{-1}
|
U+207B
|
||||
− | Additive inverse | -
|
−
|
U+2212
|
|||
± | Plus or minus sign | \pm
|
±
|
U+00B1
|
|||
∓ | \mp
|
∓
|
U+2213
|
Elementary functions
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
√ | Square root | \sqrt{}
|
√
|
U+221A
| ||
∛ | Cube root | \sqrt[3]{x}
|
&x221B;
|
U+221B
| ||
∜ | Fourth root | \sqrt[4]{x}
|
&x221C;
|
U+221C
| ||
nth root | \sqrt[n]{}
|
|||||
% | Percentage | \%
|
%
|
U+0025
| ||
( ) | Order of operations | ( )
|
( )
|
U+0028/9
| ||
\left( \right)
| ||||||
[ ] | Bracket | [ ]
|
[ ]
|
U+005B/D
| ||
| | | Absolute value | | , \vert
|
|
|
U+007C
| ||
{ } | Fractional part | \{ \} \lbrace \rbrace
|
{ }
|
U+007B/D
| ||
⌈ ⌉ | Floor and ceiling functions | \lceil \rceil
|
⌈ ⌉
|
U+2308/9
| ||
⌊ ⌋ | \lfloor \rfloor
|
⌊ ⌋
|
U+230A/B
| |||
⌜ ⌝ | \ulcorner \urcorner
|
⌜ ⌝
|
U+231C/D
| |||
⌞ ⌟ | \llcorner \lrcorner
|
⌞ ⌟
|
U+231E/F
| |||
⌢ | Cap product | \frown
|
⌢
|
U+2322
| ||
⌣ | Cup product | \smile
|
⌣
|
U+2323
| ||
exp | Exponential function | \exp
|
exp
|
|||
log | Logarithm | \log or \log_{}
|
log or log<sub></sub>
|
|||
ln | Natural logarithm | \ln
|
ln
|
|||
lg | Binary logarithm | \lg
|
lg
|
|||
min | Maxima and minima | \min
|
min
|
|||
max | \max
|
max
|
||||
inf | Infimum and supremum | \inf
|
inf
|
|||
sup | \sup
|
sup
|
||||
liminf | Limit inferior and limit superior | \liminf
|
liminf
|
|||
lim | \varliminf
|
<u>lim</u>
| ||||
limsup | \limsup
|
limsup
|
||||
lim | \varlimsup
|
<span style="text-decoration:overline;">lim</span>
| ||||
gcd | Greatest common divisor | \gcd
|
gcd
|
Note: the power function is not represented by its own icon, but by the positioning of the exponent as a superscript.
Trigonometric functions
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
sin | Sine and cosine | \sin
|
sin
|
|||
cos | \cos
|
cos
|
||||
tan | Tangent | \tan
|
tan
|
|||
sec | Trigonometric functions | \sec
|
sec
|
|||
csc | \csc
|
csc
|
||||
cot | \cot
|
cot
|
||||
sin | Inverse trigonometric functions | \arcsin
|
arcsin
|
|||
arccos | \arccos
|
arccos
|
||||
arctan | \arctan
|
arctan
|
||||
arcsec | \arcsec
|
arcsec
|
||||
arccsc | \arccsc
|
arccsc
|
||||
arccot | \arccot
|
arccot
|
||||
sinh | Hyperbolic functions | \sinh
|
sinh
|
|||
cosh | \cosh
|
cosh
|
||||
tanh | \tanh
|
tanh
|
||||
coth | \coth
|
coth
|
Arithmetic comparison
- See also: Order relations, Set relations
Symbol | Unicode character | Usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|
< | <
|
<
|
U+003C
| ||
> | >
|
>
|
U+003E
| ||
≤ | \le , \leq
|
≤
|
U+2264
| ||
≥ | \ge , \geq
|
≥
|
U+2265
| ||
≦ | \leqq
|
≦
|
U+2266
| ||
≧ | \geqq
|
≧
|
U+2267
| ||
⩽ | \leqslant
|
&LessSlantEqual
|
U+2A7D
| ||
⩾ | \geqslant
|
&GreaterSlantEqual
|
U+2A7E
| ||
≪ | \ll
|
≪
|
U+226A
| ||
≫ | \gg
|
≫
|
U+226B
| ||
≲ | \lesssim
|
≲
|
U+2272
| ||
≳ | \gtrsim
|
≳
|
U+2273
| ||
⪅ | \lessapprox
|
⪅
|
U+2A85
| ||
⪆ | \gtrapprox
|
⪆
|
U+2A86
|
Symbol | Unicode character | Usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|
≶ | \lessgtr
|
&LessGreater
|
U+2276
| ||
≷ | \gtrless
|
≷
|
U+2277
| ||
⋚ | \lesseqgtr
|
⋚
|
U+22DA
| ||
⋛ | \gtreqless
|
⋛
|
U+22DB
| ||
⪋ | \lesseqqgtr
|
⪋
|
U+2A8B
| ||
⪌ | \gtreqqless
|
⪌
|
U+2A8C
|
Number theory
Divisibility and modulo
Symbol | Unicode character | Usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|
∣ | \mid
|
∣
|
U+2223
| ||
∤ | \nmid
|
∤
|
U+2224
| ||
⊥ | \perp
|
⊥
|
U+22A5
| ||
⊓ | \sqcap
|
⊓
|
U+2293
| ||
∧ | \wedge
|
∧
|
U+2227
| ||
⊔ | \sqcup
|
⊔
|
U+2294
| ||
∨ | \vee
|
∨
|
U+2228
|
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex | Other information |
---|---|---|---|---|---|---|---|
≡ | Modulo operation | \equiv
|
≡
|
U+2261
|
|||
mod | \mod m
|
mod
|
<math>\mod</math> without a trailing symbol (e.g. ) will produce an error.
| ||||
(mod) | \pmod m
|
(mod)
|
<math>\pmod</math> without a trailing symbol (e.g. ) will produce an error.
| ||||
gcd | Greatest common divisor | \gcd
|
gcd
|
Combinatorics
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
! | Factorial | !
|
!
|
U+0021
| ||
Derangement | ||||||
Double factorial | ||||||
( ) | Combination | \binom
|
( )
|
U+0028/9
| ||
Multinomial coefficient | ||||||
(( )) | Multiset | (( )) | ( )
|
U+0028/9
| ||
◌̄ | Pochhammer symbol | \bar
|
̄
|
U+0304
| ||
◌̅ | \overline
|
̅
|
U+0305
| |||
◌̲ | \underline
|
̲
|
U+0332
| |||
# | Primorial | \#
|
#
|
U+0023
|
Stochastics
Probability theory
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
Probability measure | P
|
U+2119
| ||||
Conditional probability | \mid
|
|
|
U+007C
| |||
/
|
U+2215
| |||||
𝔼 | Expected value | E
|
𝔼
|
U+1D53C
| ||
𝕍 | Variance | V
|
𝕍
|
U+1D54D
| ||
σ | Standard deviation | \sigma
|
σ
|
U+03C3
| ||
Covariance | ||||||
ρ | Correlation | \rho
|
ρ
|
U+03C1
| ||
∼ | Probability distribution | \sim
|
∼
|
U+223C
| ||
≈ | \approx
|
≈
|
U+2248
| |||
⊥ | Independence (probability theory) | \perp
|
⊥
|
U+22A5
|
- Remark: for operators there are several notational variants; instead of round brackets also square brackets are used
Statistics
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
◌̅ | Average | \bar
|
̄
|
U+0304
| ||
◌̅ | \overline
|
̅
|
U+0305
| |||
⟨ ⟩ | \langle \rangle
|
⟨ ⟩
|
U+27E8/9
| |||
◌̂ | Estimator | \hat
|
̂
|
U+0302
|
Calculus
Sequences and series
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∑ | Summation | \sum
|
∑
|
U+2211
| ||
∏ | Product (mathematics) | \prod
|
∏
|
U+220F
| ||
∐ | Coproduct | \coprod
|
∐
|
U+2210
| ||
( ) | Sequence | ( )
|
( )
|
U+0028/9
| ||
→ | Limit of a sequence | \to \rarr
|
→
|
U+2192
| ||
∞ | Infinity | \infty
|
∞
|
U+221E
|
Limits
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
→ | Limit of a function | \to \rightarrow
|
→ →
|
U+2192
| ||
⟶ | \longrightarrow
|
⟶
|
U+27F6
| |||
↑ | \uparrow
|
↑ ↑
|
U+2191
| |||
↗ | \nearrow
|
↗
|
U+2197
| |||
↘ | \searrow
|
↘
|
U+2198
| |||
↓ | \downarrow
|
↓ ↓
|
U+2193
| |||
↙ | \swarrow
|
↙
|
U+2199
| |||
← | \leftarrow
|
← ←
|
U+2190
| |||
⟵ | \longleftarrow
|
⟵
|
U+27F5
| |||
↖ | \nwarrow
|
↖
|
U+2196
| |||
⁺ | ^+
|
⁺
|
U+207A
| |||
⁻ | ^-
|
⁻
|
U+207B
| |||
\lim
|
||||||
Limit inferior and limit superior | \liminf
|
|||||
\limsup
|
Differential calculus
- انظر مقال رئيسي: Differential calculus
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
′ | Lagrange's notation Prime (symbol) |
' ^\prime
|
′
|
U+2032
| ||
″ | '' ^{\prime\prime}
|
″
|
U+2033
| |||
‴ | ''' ^{\prime\prime\prime}
|
‴
|
U+2034
| |||
⁗ | '''' ^{\prime\prime\prime\prime}
|
⁗
|
U+2057
| |||
^{IV} ^V ^{VI}
|
<sup>IV</sup>
|
|||||
^{iv} ^v ^{vi}
|
<sup>iv</sup>
|
|||||
⁽ ⁾ | ^{( )}
|
<sup>( )</sup>
|
U+207D/E
| |||
◌̇ | Newton's notation | \dot
|
̇
|
U+0307
| ||
◌̈ | \ddot
|
̈
|
U+0308
| |||
d | Leibniz's notation | d
|
d
|
U+0064
| ||
∂ | Partial derivative | \partial
|
∂
|
U+2202
| ||
∂ and | | \left. \frac{\partial }{\partial x} \right\vert_x
|
∂ and|
|
U+2202 andU+007C
|
Integral calculus
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∫ | , | Integral | \int
|
∫
|
U+222B
| |
∬ | Surface integral | \iint
|
∬
|
U+222C
| ||
∭ | Volume integral | \iiint
|
∭
|
U+222D
| ||
∮ | Curve integral | \oint
|
∮
|
U+222E
| ||
![]() |
∯ | ![]() |
Surface integral | \oiint
|
∯
|
U+222F
|
قالب:Oiiint | ∰ | قالب:Oiiint | Volume integral | \oiiint
|
∰
|
U+2230
|
Vector calculus
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∇ | Gradient | \nabla
|
∇
|
U+2207
| ||
Divergence | ||||||
Curl (mathematics) | ||||||
∆ | Laplace operator | \Delta
|
Δ
|
U+2206
| ||
□ | D'Alembert operator | \square
|
□
|
U+25A1
|
Asymptotic behaviour
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∼ | Asymptotic analysis | \sim
|
∼
|
U+223C
| ||
o | Big O notation | o
|
U+006F
| |||
𝒪 | \mathcal{O}
|
𝒪
|
U+1D4AA
| |||
Θ | \Theta
|
Θ
|
U+0398
| |||
Ω | \Omega
|
Ω
|
U+03A9
| |||
ω | \omega
|
ω
|
U+03C9
|
Linear algebra
Vectors and matrices
Symbol | Articles with usage | LaTeX |
---|---|---|
Vector (mathematics and physics) | \begin{pmatrix} ... \end{pmatrix} or \left( \begin{array}{...} ... \end{array} \right)
| |
Matrix (mathematics) |
Vector operations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
⋅ | Dot product | \cdot
|
⋅
|
U+22C5
| ||
( ) | ( )
|
( )
|
U+0028/9
| |||
⟨ ⟩ | \langle \rangle
|
⟨ ⟩
|
U+27E8/9
| |||
⨯ | Cross product | \times
|
×
|
U+2A2F
| ||
[ ] | [ ]
|
[ ]
|
U+005B/D
| |||
( ) | Triple product | ( )
|
( )
|
U+0028/9
| ||
⊗ | Dyadic product | \otimes
|
⊗
|
U+2297
| ||
∧ | Exterior algebra | \wedge
|
∧
|
U+2227
| ||
| | | Euclidean norm | \vert
|
|
|
U+007C
| ||
‖ | Norm (mathematics) | \Vert , \| \lVert \rVert
|
‖
|
U+2016
| ||
̂ | Unit vector | \hat{}
|
̂
|
U+0302
|
Matrix operations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
⋅ | Matrix multiplication | \cdot
|
⋅
|
U+22C5
| ||
∘ | Hadamard product | \circ
|
∘
|
U+2218
| ||
⊘ | Hadamard division | \oslash
|
⊘
|
U+2298
| ||
* | Khatri-Rao product | *
|
*
|
U+002A
| ||
⊗ | Kronecker product | \otimes
|
⊗
|
U+2297
| ||
⊺ | Transposed matrix | ^\intercal
|
⊺
|
U+22BA
| ||
⊤ | ^\top
|
⊤
|
U+22A4
| |||
T | ^{\mathrm T}
|
U+0054
| ||||
* | Conjugate transpose | ^\ast
|
*
|
U+002A
| ||
† | ^\dagger
|
†
|
U+2020
| |||
H | ^H
|
U+0048
| ||||
⁻ | Inverse matrix | ^{-1}
|
U+207B
| |||
+ | Moore–Penrose pseudoinverse | ^+
|
+
|
U+002B
| ||
| A | | Determinant | | , \vert
|
|
|
U+007C
| ||
det | \det
|
det
|
||||
‖ | Matrix norm | \| , \Vert
|
‖
|
U+2016
|
Vector spaces
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
+ | Direct sum of modules | +
|
+
|
U+002B
| ||
⊕ | \oplus
|
⊕
|
U+2295
| |||
⨯ | Direct product | \times
|
×
|
U+2A2F
| ||
⊗ | Tensor product | \otimes
|
⊗
|
U+2297
| ||
/ | Quotient space (linear algebra) | /
|
⁄
|
U+002F
| ||
⟂ | Orthogonal complement | ^\perp
|
⊥
|
U+27C2
| ||
* | Dual space | ^\ast
|
∗
|
U+002A
| ||
0 | ^0
|
U+0030
| ||||
⟨ ⟩ | Linear hull | \langle \rangle
|
⟨ ⟩
|
U+27E8/9
| ||
dim | Dimension (linear algebra) | \dim
|
dim
|
|||
ker | Kernel (linear algebra) | \ker
|
ker
|
|||
Pr | Projection (linear algebra) | \Pr
|
Pr
|
Functional analysis
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
′ | Dual space | ^\prime
|
′
|
U+2032/3
| ||
″ | ||||||
◌̂ | Complete metric space | \hat{}
|
U+0302
| |||
↪ | Embedding | \hookrightarrow
|
U+21AA
|
Logic
The current Wikipedia guidelines advise against unnecessary use of ∀, ∃, and ⇔ and instead recommend writing out "for all", "there exists", and "if and only if." The same is true of abbreviations such as "iff", "s.t.", and "WLOG".
Equality signs

Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
= | Equality | =
|
=
|
U+003D
| ||
# | Apartness relation | \#
|
#
|
U+0023
| ||
≠ | Inequality | \neq \ne \not=
|
≠
|
U+2260
| ||
≡ | Identity | \equiv
|
≡
|
U+2261
| ||
≈ | Approximation | \approx
|
≈
|
U+2248
| ||
∼ | Equivalence class | \sim
|
∼
|
U+223C
| ||
∝ | Proportionality | \propto
|
∝
|
U+221D
| ||
≙ | Bijection | \widehat{=}
|
≙
|
U+2259
| ||
≟ | Asks "is it equal to" | \overset{?}{=}
|
≟
|
U+225F
| ||
≝ | Equal to by definition | \overset{\operatorname{def}}{=}
|
≝
|
U+225D
| ||
≜ | \triangleq
|
≜
|
U+225C
| |||
≔ | Assignment | :=
|
≔
|
U+2254
| ||
≕ | =:
|
≕
|
U+2255
| |||
≐ | Approaches the limit | \doteq
|
≐
|
U+2250
| ||
⩵ | Relational operator | ==
|
⩵
|
U+2A75
|
Logical operators
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∧ | Logical conjunction | \land
|
∧
|
U+2227
| ||
∨ | Logical disjunction | \lor
|
∨
|
U+2228
| ||
⇔ | Logical equivalence | \Leftrightarrow
|
⇔
|
U+21D4
| ||
↔ | \leftrightarrow
|
↔
|
U+2194
| |||
⟺ | \iff
|
⟺
|
U+27FA
| |||
⇒ | Logical consequence | \Rightarrow
|
⇒
|
U+21D2
| ||
→ | \rightarrow
|
→
|
U+2192
| |||
⟹ | \implies
|
⟹
|
U+27F9
| |||
\Longrightarrow
| ||||||
⊕ | Exclusive or | \oplus
|
⊕
|
U+2295
| ||
⊻ | \veebar
|
⊻
|
U+22BB
| |||
⩒ | \dot\lor
|
U+2A52
| ||||
¬ | Logical negation | \lnot
|
¬
|
U+00AC
| ||
◌̄ | \bar
|
̄
|
U+0304
| |||
̅ | \overline
|
̅
|
U+0305
| |||
◌̸ | \not (ex: \not= \not\in )
|
̸ (ex: ≠ ∉ )
|
U+0338
| |||
← | Converse implication | \leftarrow
|
←
|
U+2190
| ||
⊸ | Linear logic | \multimap
|
⊸
|
U+22B8
| ||
⅋ | ⅋ | A ⅋ B | Linear logic | \upand (No Wikipedia support)
|
&x214B;
|
U+214B
|
Quantifiers
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∀ | Universal quantification | \forall
|
∀
|
U+2200
| ||
⋀ | \bigwedge
|
⋀
|
U+22C0
| |||
∃ | Existential quantification | \exists
|
∃
|
U+2203
| ||
⋁ | \bigvee
|
⋁
|
U+22C1
| |||
∃! | Uniqueness quantification | \exists!
|
∃!
|
U+2203 !
| ||
⩒ | \dot\bigvee
|
U+2A52
| ||||
∄ | Existential quantification | \nexists
|
∄
|
U+2204
|
Deduction symbols
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
⊢ | Logical consequence, Propositional calculus | \vdash
|
⊢
|
U+22A2
| ||
⊨ | Logical consequence, Inference | \models
|
⊨
|
U+22A8
| ||
Tautology (logic) | ||||||
⊤ | \top
|
⊤
|
U+22A4
| |||
⊥ | Contradiction | \bot
|
⊥
|
U+22A5
| ||
∴ | Deductive reasoning | \therefore
|
∴
|
U+2234
| ||
∵ | \because
|
∵
|
U+2235
|
End of proof symbols
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
■ | ...as desired. | Q.E.D. | \blacksquare
|
■
|
U+25A0
| |
□ | \Box
|
□
|
U+25A1
| |||
∎ | Tombstone |
|
∎
|
U+220E
|
Formal language and strings
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
ε | Empty string | \varepsilon
|
ε
|
U+03B5
| ||
| | | String length | \vert
|
|
|
U+007C
| ||
+ | Concatenation | +
|
+
|
U+002B
| ||
⋅ | \cdot
|
⋅
|
U+22C5
| |||
¬ | Formal language | \lnot
|
¬
|
U+00AC
| ||
* | Kleene star | ^\ast
|
∗
|
U+002A
| ||
+ | Free monoid | ^+
|
+
|
U+002B
| ||
∼ | Squiggle operator | \sim
|
∼
|
U+223C
| ||
⟦⟧ | Squiggle operator | [\![ ]\!]
|
⟦ ⟧
|
U+27E6/7
|
Functions and category theory
Functions
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
→ | Function (mathematics) | \to
|
→
|
U+2192
| ||
↦ | \mapsto
|
&mapstoright;
|
U+21A6
| |||
( ) | Image (mathematics) | ( )
|
( )
|
U+0028/9
| ||
[ ] | [ ]
|
[ or ]
|
U+005B/D
| |||
| | Restriction (mathematics) | \vert
|
|
|
U+007C
| ||
⋅ | Free variable | \cdot
|
⋅
|
U+22C5
| ||
⁻ | Inverse function | -1
|
U+207B
| |||
∘ | Function composition | \circ
|
∘
|
U+2218
| ||
∗ | Convolution | \ast
|
∗
|
U+2217
| ||
◌̂ | Fourier transform | \hat
|
U+0302
| |||
⊸ | Multimap | \multimap
|
⊸
|
U+22B8
|
Morphisms
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
→ | Morphism | \to
|
→
|
U+2192
| ||
↦ | \mapsto
|
&mapstoright;
|
U+21A6
| |||
⥲ | Isomorphism | \tilde{\rightarrow}
|
U+2972
| |||
↪ | Monomorphism | \hookrightarrow
|
↪
|
U+21AA
| ||
↠ | Epimorphism | \twoheadrightarrow
|
↠
|
U+21A0
| ||
hom | Morphism | \hom
|
hom
|
Constructions
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∏ | Product (category theory) | \prod
|
∏
|
U+220F
| ||
∐ | Coproduct | \coprod
|
∐
|
U+2210
| ||
⊕ | Biproduct | \oplus
|
⊕
|
U+2295
| ||
× | Pullback (category theory) | \times
|
×
|
U+00D7
| ||
lim | Limit (category theory) | \lim
|
lim
|
|||
projlim | Inverse limit | \projlim
|
projlim
|
|||
\varprojlim
|
||||||
injlim | Direct limit | \injlim
|
injlim
|
|||
\varinjlim
|
Set theory
Definition symbols
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
: | Definition | \colon
|
:
|
U+003A
| ||
Set construction
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∅ | Empty set | \varnothing
|
∅ ∅
|
U+2205
| ||
\emptyset
|
||||||
{ } | Set (mathematics) | \{ \} \lbrace \rbrace
|
{ }
|
U+007B/D
| ||
| | \mid
|
|
|
U+007C
| |||
: | \colon
|
:
|
U+003A
| |||
:
|
Separator symbols
To scale a set's braces \{ \}
to the size of the set's content, use \left\{ \right\}
.
Wikipedia does not support \middle
as that requires e-TeX, although \big|
, \Big|
, \bigg|
, or \Bigg|
can be used in place of \middle|
. However, unlike with \mid
, whitespace \;
around the bar |
must be inserted manually; for example: \;\big|\;
or \mathrel{}\big|\mathrel{}
.
Rendered result | Latex code | Notes on separator |
---|---|---|
\{x\in X : P(x)\}
|
: inserts whitespace that \colon does not.
| |
\{x\in X \colon P(x)\}
|
||
\{x\in X \mid P(x)\}
|
\mid inserts whitespace that \vert does not.
| |
\{x\in X \vert P(x)\}
|
\vert and | are synonyms in LaTeX.
| |
\{x\in X \vline P(x)\}
|
\mid inserts whitespace that \vline does not.
| |
\left\{\sum_{n=1}^{\infty} x^n : |x|<1\right\}
|
||
\left\{\sum_{n=1}^\infty x^n \mid |x|<1\right\}
|
||
\left\{\sum_{n=1}^\infty x^n \;\Bigg|\; |x|<1\right\}
|
\;\Bigg|\; is used since neither \middle\mid , \Bigg\mid , nor \Bigg\vline render in Wikipedia.
| |
\left\{\left.\sum_{n=1}^\infty x^n \;\right|\; |x|<1\right\}
|
Using \left. \right| or \left| \right. is potentially an alternative to manual scaling.
|
Set operations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∩ | Intersection (set theory) | \cap
|
∩
|
U+2229
| ||
⋂ | \bigcap
|
⋂ ⋂
|
U+22C2
| |||
∪ | Union (set theory) | \cup
|
∪
|
U+222A
| ||
⋃ | \bigcup
|
⋃ ⋃
|
U+22C3
| |||
∖ | Difference (set theory) | \setminus
|
∖ ∖
|
U+2216
| ||
\smallsetminus
| ||||||
∆ | Symmetric difference | \triangle
|
Δ
|
U+2206
| ||
⊖ | \ominus
|
⊖
|
U+2296
| |||
⨯ | Cartesian product | \times
|
×
|
U+2A2F
| ||
⩀ | Intersection (set theory) | \dot\cap
|
⩀
|
U+2A40
| ||
⊓ | \sqcap
|
⊓
|
U+2293
| |||
⩄ | \capwedge
|
⩄
|
U+2A44
| |||
⊍ | Disjoint union | \dot\cup
|
⊍
|
U+228D
| ||
⊎ | \uplus
|
⊎
|
U+228E
| |||
⊔ | \sqcup
|
⊔
|
U+2294
| |||
⫛ | Transversal intersection | \mlcp
|
⫛
|
U+2ADB
| ||
∁ | Complement (set theory) | ^\complement
|
∁
|
U+2201
| ||
C | ^{\mathrm C}
|
∁
|
U+2201
| |||
◌̄ | \bar{}
|
̄
|
U+0304
| |||
◌̅ | \overline{}
|
U+0305
| ||||
℘ | Power set | \wp
|
℘
|
U+2118
| ||
𝒫 | \mathcal{P}
|
𝒫
|
U+1D4AB
| |||
𝔓 | \mathfrak{P}
|
𝔓
|
U+1D513
| |||
⋀ | Infimum and supremum | \bigwedge \bigwedge\limits_{}
|
⋀
|
U+22C0
| ||
⋁ | \bigvee \bigvee\limits_{}
|
⋁
|
U+22C1
|
Set relations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
⊂ | Subset | \subset
|
⊂
|
U+2282
| ||
⊊ | \subsetneq
|
⊊
|
U+228A
| |||
⊆ | \subseteq
|
⊆
|
U+2286
| |||
⟃ | A ⟃ B | \subsetcirc
|
⟃
|
U+27C3
| ||
⊃ | Superset | \supset
|
⊃
|
U+2283
| ||
⊋ | \supsetneq
|
⊋
|
U+228B
| |||
⊇ | \supseteq
|
⊇
|
U+2287
| |||
⟄ | A ⟄ B | \supsetcirc
|
⟄
|
U+27C4
| ||
⊄ | \not\subset
|
⊄
|
U+2284
| |||
⊅ | Superset | \not\supset
|
⊅
|
U+2285
| ||
⊈ | \not\subseteq
|
⊈
|
U+2288
| |||
⊉ | Superset | \not\supseteq
|
⊉
|
U+2289
| ||
∈ | Element (mathematics) | \in
|
∈
|
U+2208
| ||
∋ | \ni , \owns
|
∋
|
U+220B
| |||
∉ | \notin , \not\in
|
∉
|
U+2209
| |||
∌ | \not\ni
|
∌
|
U+220C
| |||
⊏ | Substring | \sqsubset
|
⊏
|
U+228F
| ||
⊐ | \sqsupset
|
⊐
|
U+2290
| |||
⊑ | \sqsubseteq
|
⊑
|
U+2291
| |||
⊒ | \sqsupseteq
|
⊒
|
U+2292
|
Note: The symbols and are used inconsistently and often do not exclude the equality of the two quantities.
Cardinality
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
| | | Cardinality | \vert
|
|
|
U+007C
| ||
# | \#
|
#
|
U+0023
| |||
𝔠 | Cardinality of the continuum | \mathfrak{c}
|
𝔠
|
U+1D520
| ||
ℵ | , , ... | Aleph number | \aleph
|
ℵ
|
U+2135
| |
ℶ | , , ... | Beth number | \beth
|
ℶ
|
U+2136
|
Equivalence classes/relations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
[ ] | Equivalence class | [ ]
|
[ ]
|
U+005B/D
| ||
قائمة الرموز الرياضية حسب الموضوع/ | Quotient set | /
|
/
|
U+002F
| ||
∼ | Equivalence relation | \sim
|
∼ , ∼
|
U+223C
| ||
∽ | \backsim
|
∽
|
U+223D
| |||
≁ | \not\sim , \nsim
|
≁
|
U+2241
| |||
≂ | \eqsim
|
≂
|
U+2242
| |||
≃ | \simeq
|
≃
|
U+2243
| |||
≅ | \cong
|
≅
|
U+2245
| |||
≇ | \not\cong , \ncong
|
≇
|
U+2247
|
Order theory
Comparisons
- See also: Arithmetic comparison, Set relations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
≤ | Order relation | \leq , \le
|
≤ , ≤
|
U+2264
| ||
≥ | \geq , \ge
|
≥ , ≥
|
U+2265
| |||
≮ | \nless
|
≮ , ≮
|
U+226E
| |||
≯ | \ngtr
|
≯ , ≯
|
U+226F
| |||
≰ | \not\leq , \nleq
|
≰ , ≰
|
U+2270
| |||
≱ | \not\geq , \ngeq
|
≱ , ≱
|
U+2271
| |||
≲ | Inequality (mathematics) | \lesssim
|
≲ , ≲
|
U+2272
| ||
≳ | \gtrsim
|
≳ , ≳
|
U+2273
| |||
≴ | \not\lesssim
|
≴
|
U+2274
| |||
≵ | \not\gtrsim
|
≵
|
U+2275
| |||
≺ | Successor ordinal | \prec
|
≺
|
U+227A
| ||
≻ | \succ
|
≻
|
U+227B
| |||
≼ | \preccurlyeq
|
≼
|
U+227C
| |||
≽ | \succcurlyeq
|
≽
|
U+227D
| |||
≾ | \precsim
|
≾
|
U+227E
| |||
≿ | \succsim
|
≿
|
U+227F
| |||
⪯ | \preceq
|
⪯
|
U+2AAF
| |||
⪰ | \succeq
|
⪰
|
U+2AB0
| |||
⋞ | \curlyeqprec
|
⋞
|
U+22DE
| |||
⋟ | \curlyeqsucc
|
⋟
|
U+22DF
| |||
⋠ | \not\preceq
|
⋠
|
U+22E0
| |||
⋡ | \not\succeq
|
⋡
|
U+22E1
| |||
⊏ | Partially ordered set | \sqsubset
|
⊏ ⊏
|
U+228F
| ||
⊐ | \sqsupset
|
⊐ ⊐
|
U+2290
| |||
⊑ | \sqsubseteq
|
⊑ ⊑
|
U+2291
| |||
⊒ | \sqsupseteq
|
⊒ ⊒
|
U+2292
| |||
⋢ | \not\sqsubseteq
|
⋢
|
U+22E2
| |||
⋣ | \not\sqsupseteq
|
⋣
|
U+22E3
|
Binary relations
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
; | ; | Composition of relations | ;
|
;
|
U+003B
| |
Operation (mathematics) | ||||||
• | \bullet
|
•
|
U+2219
| |||
∗ | \ast
|
∗
|
U+2217
| |||
⁻ | Converse relation | T
|
||||
⁻ | Complementary relation | \bar{R}
|
||||
+ | Transitive closure | +
|
U+002B
| |||
* | Reflexive closure | \ast
|
∗
|
U+002A
|
Algebra
Group theory
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
≃ | Group isomorphism | \simeq
|
U+2243
| |||
≅ | \cong
|
≅
|
U+2245
| |||
⨯ | Direct product | \times
|
×
|
U+2A2F
| ||
⋊ | Semidirect product | \rtimes
|
⋊
|
U+22CA
| ||
≀ | Wreath product | \wr
|
≀
|
U+2240
| ||
≤ | Subgroup | \leq
|
≤
|
U+2264
| ||
< | \lt
|
<
|
U+003C
| |||
⊲ | Normal subgroup | \vartriangleleft
|
⊳
|
U+22B3
| ||
⊴ | \trianglelefteq
|
⊴
|
U+22B4
| |||
⋪ | \not\vartriangleleft
|
⋪
|
U+22EA
| |||
⋬ | \not\trianglelefteq
|
⋬
|
U+22EC
| |||
⊳ | \vartriangleright
|
⊳
|
U+22B3
| |||
⊵ | \trianglerighteq
|
⊵
|
U+22B5
| |||
⋫ | \not\vartriangleright
|
⋫
|
U+22EB
| |||
⋭ | \not\trianglerighteq
|
⋭
|
U+22ED
| |||
/ | Quotient group | /
|
⁄
|
U+002F
| ||
: | Index of a subgroup | \colon
|
:
|
U+003A
| ||
⟨ ⟩ | Generating set of a group | \langle \rangle
|
⟨ ⟩
|
U+27E8/9
| ||
[ ] | Commutator | [ ]
|
[ ]
|
U+005B/D
|
Field theory
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
/ | Field extension | /
|
⁄
|
U+002F
| ||
| | \mid
|
|
|
U+007C
| |||
: | \colon
|
:
|
U+003A
| |||
Degree of a field extension | ||||||
◌̄ | Algebraic closure | \bar
|
̄
|
U+0304
| ||
◌̅ | \overline
|
̅
|
U+0305
| |||
( ) | Field extension, Algebraic number field | ( )
|
( )
|
U+0028/9
| ||
𝔽 | Finite field | \mathbb{F}
|
𝔽
|
U+1D53D
| ||
𝕂 | Field (mathematics) | \mathbb{K}
|
𝕂
|
U+1D542
|
Ring theory
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∗ | Group of units | \ast
|
∗
|
U+2217
| ||
⨯ | \times
|
×
|
U+2A2F
| |||
⊲ | Ideal (ring theory) | \vartriangleleft
|
⊲
|
U+22B2
| ||
/ | Quotient ring | /
|
⁄
|
U+002F
| ||
[ ] | Polynomial ring | [ ]
|
[ ]
|
U+005B/D
| ||
[ ] | Formal power series | [[ ]]
|
[ ]
|
U+005B/D
| ||
deg | Degree of a polynomial | \deg
|
deg;
|
Geometry
Euclidean geometry
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
[ ] | Line segment | [ ] \left[ \right]
|
[ ]
|
U+005B/D
| ||
| | | \vert
|
|
|
U+007C
| |||
̅ | \overline
|
̅
|
U+0305
| |||
̲ | \underline
|
̲
|
U+0332
| |||
⃗ | Euclidean vector and Affine space |
\vec
|
⃗
|
U+20D7
| ||
∠ | Angle | \angle
|
∠
|
U+2220
| ||
△ | Triangle | \triangle
|
△
|
U+25B3
| ||
□ | Quadrilateral | \square
|
□
|
U+25A1
| ||
∥ | Parallel (geometry) | \parallel
|
∥
|
U+2225
| ||
∦ | \nparallel
|
∦
|
U+2226
| |||
⟂ | Orthogonality | \perp
|
⊥
|
U+27C2
|
Differential geometry
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
ℒ | Lie derivative | \mathcal{L}
|
ℒ
|
U+2112
| ||
⌟ | Interior product | \mathbin{\lrcorner}
|
⌟
|
U+231F
| ||
𝜄 | \iota
|
𝜄
|
U+1D704
| |||
∧ | Wedge product | \wedge
|
∧
|
U+2227
| ||
⋀ | \bigwedge
|
⋀
|
U+22C0
|
Topology
Symbol | Unicode character | Usage | Articles with usage | LaTeX | HTML | Unicode Hex |
---|---|---|---|---|---|---|
∂ | Boundary (topology) | \partial
|
∂
|
U+2202
| ||
˚ | Interior (topology) | \circ
|
°
|
U+02DA
| ||
◌̄ | Closure (topology) | \bar
|
̄
|
U+0304
| ||
◌̅ | \overline
|
̅
|
U+0305
| |||
◌̇ | Punctured neighbourhood | \dot
|
U+0307
|
Alphanumeric Symbols
Digits
Name | Digits |
---|---|
Double-struck | 𝟘 𝟙 𝟚 𝟛 𝟜 𝟝 𝟞 𝟟 𝟠 𝟡 |
Alphabets
Name | Sub-type | Alphabet |
---|---|---|
Double-struck | ℂ ℍ ℕ ℙ ℚ ℝ ℤ ℽ ℾ ℼ ℿ ⅀ | |
Mathematical | 𝔸 𝔹 ℂ 𝔻 𝔼 𝔽 𝔾 ℍ 𝕀 𝕁 𝕂 𝕃 𝕄 ℕ 𝕆 ℙ ℚ ℝ 𝕊 𝕋 𝕌 𝕍 𝕎 𝕏 𝕐 ℤ | |
𝕒 𝕓 𝕔 𝕕 𝕖 𝕗 𝕘 𝕙 𝕚 𝕛 𝕜 𝕝 𝕞 𝕟 𝕠 𝕡 𝕢 𝕣 𝕤 𝕥 𝕦 𝕧 𝕨 𝕩 𝕪 𝕫 | ||
Italic | ⅆ ⅇ ⅈ ⅉ ⅅ | |
Script/Calligraphy | Mathematical | 𝒜 ℬ 𝒞 𝒟 ℰ ℱ 𝒢 ℋ ℐ 𝒥 𝒦 ℒ ℳ 𝒩 𝒪 𝒫 𝒬 ℛ 𝒮 𝒯 𝒰 𝒱 𝒲 𝒳 𝒴 𝒵 |
𝒶 𝒷 𝒸 𝒹 ℯ 𝒻 ℊ 𝒽 𝒾 𝒿 𝓀 𝓁 𝓂 𝓃 ℴ 𝓅 𝓆 𝓇 𝓈 𝓉 𝓊 𝓋 𝓌 𝓍 𝓎 𝓏 | ||
Mathematical Bold | 𝓐 𝓑 𝓒 𝓓 𝓔 𝓕 𝓖 𝓗 𝓘 𝓙 𝓚 𝓛 𝓜 𝓝 𝓞 𝓟 𝓠 𝓡 𝓢 𝓣 𝓤 𝓥 𝓦 𝓧 𝓨 𝓩 | |
𝓪 𝓫 𝓬 𝓭 𝓮 𝓯 𝓰 𝓱 𝓲 𝓳 𝓴 𝓵 𝓶 𝓷 𝓸 𝓹 𝓺 𝓻 𝓼 𝓽 𝓾 𝓿 𝔀 𝔁 𝔂 𝔃 | ||
Fraktur | Mathematical | 𝔄 𝔅 ℭ 𝔇 𝔈 𝔉 𝔊 ℌ ℑ 𝔍 𝔎 𝔏 𝔐 𝔑 𝔒 𝔓 𝔔 ℜ 𝔖 𝔗 𝔘 𝔙 𝔚 𝔛 𝔜 ℨ |
𝔞 𝔟 𝔠 𝔡 𝔢 𝔣 𝔤 𝔥 𝔦 𝔧 𝔨 𝔩 𝔪 𝔫 𝔬 𝔭 𝔮 𝔯 𝔰 𝔱 𝔲 𝔳 𝔴 𝔵 𝔶 𝔷 | ||
Mathematical Bold | 𝕬 𝕭 𝕮 𝕯 𝕰 𝕱 𝕲 𝕳 𝕴 𝕵 𝕶 𝕷 𝕸 𝕹 𝕺 𝕻 𝕼 𝕽 𝕾 𝕿 𝖀 𝖁 𝖂 𝖃 𝖄 𝖅 | |
𝖆 𝖇 𝖈 𝖉 𝖊 𝖋 𝖌 𝖍 𝖎 𝖏𝖐 𝖑 𝖒 𝖓 𝖔 𝖕 𝖖 𝖗 𝖘 𝖙 𝖚 𝖛 𝖜 𝖝 𝖞 𝖟 | ||
Mono-space | Mathematical | 𝙰 𝙱 𝙲 𝙳 𝙴 𝙵 𝙶 𝙷 𝙸 𝙹 𝙺 𝙻 𝙼 𝙽 𝙾 𝙿 𝚀 𝚁 𝚂 𝚃 𝚄 𝚅 𝚆 𝚇 𝚈 𝚉 |
𝚊 𝚋 𝚌 𝚍 𝚎 𝚏 𝚐 𝚑 𝚒 𝚓 𝚔 𝚕 𝚖 𝚗 𝚘 𝚙 𝚚 𝚛 𝚜 𝚝 𝚞 𝚟 𝚠 𝚡 𝚢 𝚣 | ||
Greek | Α Β Γ ᴦ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Ῥ ☧ Σ Ϲ Τ Υ υ Φ Χ Ψ Ω | |
α β ᵝ ᵦ γ ᵞ ᵧ δ ᵟ ε ϵ ϶ ζ η Ͱ ͱ θ ϑ ϴ ᶿ ι ᶥ ℩ κ ϰ λ ᴧ μ µ ν ξ ο π ϖ ρ ῥ ῤ ϱ ϼ ᴩ ᵨ σ ς ϲ Ͻ ͻ Ͼ ͼ Ͽ ͽ τ ϒ φ ϕ χ ᵡ ᵪ ψ ᴪ ω | ||
Mathematical Italic | 𝛢 𝛣 𝛤 𝛥 𝛦 𝛧 𝛨 𝛩 𝛪 𝛫 𝛬 𝛭 𝛮 𝛯 𝛰 𝛱 𝛲 𝛳 𝛴 𝛵 𝛶 𝛷 𝛸 𝛹 𝛺 𝛻 | |
𝛼 𝛽 𝛾 𝛿 𝜕 𝜀 𝜖 𝜁 𝜂 𝜃 𝜗 𝜄 𝜅 𝜘 𝜆 𝜇 𝜈 𝜉 𝜊 𝜋 𝜛 𝜌 𝜚 𝜍 𝜎 𝜏 𝜐 𝜑 𝜙 𝜒 𝜓 𝜔 | ||
Non-Latin Italic | 𝛼 𝛽 𝛤 𝛾 𝛥 𝛿 𝜀 𝜁 𝜂 𝛩 𝜃 𝛳 𝜗 𝜄 𝜅 𝜘 𝛬 𝜆 𝜇 𝜈 𝛯 𝜉 𝛱 𝜋 𝜌 𝜚 𝛴 𝜎 𝜍 𝜏 𝛶 𝜐 𝛷 𝜑 𝜙 𝜒 𝛹 𝜓 𝛺 𝜔 | |
Mathematical Bold | 𝚨 𝚩 𝚪 𝚫 𝚬 𝚭 𝚮 𝚯 𝚰 𝚱 𝚲 𝚳 𝚴 𝚵 𝚶 𝚷 𝚸 𝚹 𝚺 𝚻 𝚼 𝚽 𝚾 𝚿 𝛀 𝛁 | |
𝛂 𝛃 𝛄 𝛅 𝛛 𝛆 𝛜 𝛇 𝛈 𝛉 𝛝 𝛊 𝛋 𝛞 𝛌 𝛍 𝛎 𝛏 𝛐 𝛑 𝛡 𝛒 𝛠 𝛓 𝛔 𝛕 𝛖 𝛗 𝛟 𝛘 𝛙 𝛚 | ||
Mathematical Bold Italic | 𝜜 𝜝 𝜞 𝜟 𝜠 𝜡 𝜢 𝜣 𝜤 𝜥 𝜦 𝜧 𝜨 𝜩 𝜪 𝜫 𝜬 𝜭 𝜮 𝜯 𝜰 𝜱 𝜲 𝜳 𝜴 𝜵 | |
𝜶 𝜷 𝜸 𝜹 𝝏 𝜺 𝝐 𝜻 𝜼 𝜽 𝝑 𝜾 𝜿 𝝀 𝝁 𝝂 𝝃 𝝄 𝝅 𝝕 𝝆 𝝔 𝝇 𝝈 𝝉 𝝊 𝝋 𝝓 𝝌 𝝒 𝝍 𝝎 | ||
Double-struck | ℽ ℾ ℼ ℿ ⅀ |
Greek Letters
Name | Greek Letter | Bold | Italic | Bold Italic | Sans-Serif Bold | Sans-Serif Bold Italic | APL | Double struck bold | Misc |
---|---|---|---|---|---|---|---|---|---|
Alpha | Α α | 𝚨 𝛂 | 𝛢 𝛼 | 𝜜 𝜶 | 𝝖 𝝰 | 𝞐 𝞪 | ⍺ ⍶ | ||
Beta | Β β ᵝ ᵦ | 𝚩 𝛃 | 𝛣 𝛽 | 𝜝 𝜷 | 𝝗 𝝱 | 𝞑 𝞫 | |||
Gamma | Γ γ ᴦ ᵞ ᵧ | 𝚪 𝛄 | 𝛤 𝛾 | 𝜞 𝜸 | 𝝘 𝝲 | 𝞒 𝞬 | ℾ ℽ | ||
Delta | Δ δ ᵟ | 𝚫 𝛅 | 𝛥 𝛿 | 𝜟 𝜹 | 𝝙 𝝳 | 𝞓 𝞭 | |||
Epsilon | Ε ε ϵ ϶ | 𝚬 𝛆 | 𝛦 𝜀 | 𝜠 𝜺 | 𝝚 𝝴 | 𝞔 𝞮 | ⍷ | ||
Zeta | Ζ ζ | 𝚭 𝛇 | 𝛧 𝜁 | 𝜡 𝜻 | 𝝛 𝝵 | 𝞕 𝞯 | |||
Eta | Η η Ͱ ͱ | 𝚮 𝛈 | 𝛨 𝜂 | 𝜢 𝜼 | 𝝜 𝝶 | 𝞖 𝞰 | |||
Theta | Θ θ ϑ ϴ ᶿ | 𝚯 𝛉 𝚹 𝛝 | 𝛩 𝜃 𝛳 𝜗 | 𝜣 𝜽 𝜭 𝝑 | 𝝝 𝝷 𝚹 𝞋 | 𝞗 𝞱 𝜭 𝟅 | |||
Iota | Ι ι ᶥ ℩ | 𝚰 𝛊 | 𝛪 𝜄 | 𝜤 𝜾 | 𝝞 𝝸 | 𝞘 𝞲 | ⍳ ⍸ | ||
Kappa | Κ κ ϰ | 𝚱 𝛋 𝛞 | 𝛫 𝜅 𝜘 | 𝜥 𝜿 𝝒 | 𝝟 𝝹 𝞌 | 𝞙 𝞳 𝟆 | |||
Lambda | Λ λ ᴧ | 𝚲 𝛌 | 𝛬 𝜆 | 𝜦 𝝀 | 𝝠 𝝺 | 𝞚 𝞴 | |||
Mu | Μ μ µ | 𝚳 𝛍 | 𝛭 𝜇 | 𝜧 𝝁 | 𝝡 𝝻 | 𝞛 𝞵 | |||
Nu | Ν ν | 𝚴 𝛎 | 𝛮 𝜈 | 𝜨 𝝂 | 𝝢 𝝼 | 𝞜 𝞶 | |||
Xi | Ξ ξ | 𝚵 𝛏 | 𝛯 𝜉 | 𝜩 𝝃 | 𝝣 𝝽 | 𝞝 𝞷 | |||
Omicron | Ο ο | 𝚶 𝛐 | 𝛰 𝜊 | 𝜪 𝝄 | 𝝤 𝝾 | 𝞞 𝞸 | |||
Pi | Π π ϖ | 𝚷 𝛑 | 𝛱 𝜋 | 𝜫 𝝅 | 𝝥 𝝿 | 𝞟 𝞹 | ℿ ℼ | ∏ ∐ | |
Rho | Ρ ρ Ῥ ῥ ῤ ϱ ϼ ᴩ ᵨ ☧ | 𝚸 𝛒 𝛠 | 𝛲 𝜌 𝜚 | 𝜬 𝝆 𝝔 | 𝝦 𝞀 𝞎 | 𝞠 𝞺 𝟈 | ⍴ | ||
Sigma | Σ σ ς Ϲ ϲ Ͻ ͻ Ͼ ͼ Ͽ ͽ | 𝚺 𝛔 𝛓 | 𝛴 𝜎 𝜍 | 𝜮 𝝈 𝝇 | 𝝨 𝞂 𝞁 | 𝞢 𝞼 𝞻 | ⅀ | ∑ | |
Tau | Τ τ | 𝚻 𝛕 | 𝛵 𝜏 | 𝜯 𝝉 | 𝝩 𝞃 | 𝞣 𝞽 | |||
Upsilon | Υ υ ϒ | 𝚼 𝛖 | 𝛶 𝜐 | 𝜰 𝝊 | 𝝪 𝞄 | 𝞤 𝞾 | |||
Phi | Φ φ ϕ | 𝚽 𝛗 𝛟 | 𝛷 𝜑 𝜙 | 𝜱 𝝋 𝝓 | 𝝫 𝞅 𝞍 | 𝞥 𝞿 𝟇 | |||
Chi | Χ χᵡᵪ☧ | 𝚾 𝛘 | 𝛸 𝜒 | 𝜲 𝝌 | 𝝬 𝞆 | 𝞦 𝟀 | |||
Psi | Ψ ψ ᴪ | 𝚿 𝛙 | 𝛹 𝜓 | 𝜳 𝝍 | 𝝭 𝞇 | 𝞧 𝟁 | |||
Omega | Ω ω | 𝛀 𝛚 | 𝛺 𝜔 | 𝜴 𝝎 | 𝝮 𝞈 | 𝞨 𝟂 | ⍵ ⍹ |
See also
Unicode and LaTeX
LaTeX
- Help:Displaying a formula#Formatting using TeX - An extensive list of LaTeX examples.
- Wikipedia:LaTeX symbols
Unicode
- Lists of Mathematical operators and symbols in Unicode
- Mathematical Operators and Supplemental Mathematical Operators
- List of mathematical symbols
- Miscellaneous Math Symbols: A, B, Technical
- Arrow (symbol) and Miscellaneous Symbols and Arrows and arrow symbols
- ISO 31-11 (Mathematical signs and symbols for use in physical sciences and technology)
- Number Forms
- Geometric Shapes
- Wikipedia:Mathematical symbols
- Mathematical Alphanumeric Symbols (Unicode block)
- List of Unicode characters
Conventions and guidelines
- Typographical conventions and common meanings of symbols:
- APL syntax and symbols
- Greek letters used in mathematics, science, and engineering
- Latin letters used in mathematics
- List of common physics notations
- List of letters used in mathematics and science
- List of mathematical abbreviations
- Mathematical notation
- Notation in probability and statistics
- Physical constants
- Wikipedia notation and formula guidelines:
Other
Bibliography
- Tilo Arens; Frank Hettlich; Christian Karpfinger; Ulrich Kockelkorn; Klaus Lichtenegger; Hellmuth Stachel (2011) (in German), Mathematik (2. ed.), Spektrum Akademischer Verlag, pp. 1483ff, ISBN 978-3-827-42347-4
- Wolfgang Hackbusch (2010) (in German), Taschenbuch der Mathematik, Band 1 (3. ed.), Springer, pp. 1275ff, ISBN 978-3-835-10123-4
- Deutsches Institut für Normung: DIN 1302: Allgemeine mathematische Zeichen und Begriffe, Beuth-Verlag, 1999.
- Deutsches Institut für Normung: DIN 1303: Vektoren, Matrizen, Tensoren; Zeichen und Begriffe, Beuth-Verlag, 1987.
- International Standards Organisation: DIN EN ISO 80000-2: Größen und Einheiten – Teil 2: Mathematische Zeichen für Naturwissenschaft und Technik, 2013.
Note: This article is a translation of the German Wikipedia article de:Liste mathematischer Symbole.
External links
LaTeX and Unicode
- Symbols defined by unicode-math - Lists LaTeX and corresponding Unicode symbols
- Unicode characters and corresponding LaTeX math mode command
LaTeX
- Scott Pakin (25 June 2020). "The Comprehensive LaTeX Symbol List" (PDF; 4,4 MB). The Comprehensive TeX Archive Network (CTAN). Retrieved 8 August 2020.
- Detexify − Online tool: Find LaTeX code for a symbol by drawing it.
Unicode
- Symbols defined by unicode-math
- "Mathematical Operators – Unicode" (PDF). Retrieved 2013-07-20.
- Lists Unicode Block "Mathematical Operators"
- Lists Unicode Block "Supplemental Mathematical Operators"
- Lists Unicode Block "Miscellaneous Mathematical Symbols-A"
- Lists Unicode Block "Miscellaneous Mathematical Symbols-B"
- Lists Unicode Block "Mathematical Alphanumeric Symbols
- Shapecatcher − Online tool: Find Unicode and HTML codes for a symbol by drawing it.