List of mathematical symbols by subject
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 virtually impossible to list all the symbols ever used in mathematics, 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>.
- 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.
Set theory
Definition symbols
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
: | Definition | \colon |
∶ |
U+003A | ||
Set construction
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∅ | Empty set | \varnothing ,\emptyset |
∅ |
U+2205 | ||
{ } | Set (mathematics) | \{ \} |
U+007B/D | |||
| | \mid |
U+007C | ||||
: | \colon |
U+003A |
Set operations
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∪ | Union (set theory) | \cup |
∪ |
U+222A | ||
⋃ | \bigcup |
|
U+22C3 | |||
∩ | Intersection (set theory) | \cap |
∩ |
U+2229 | ||
⋂ | \bigcap |
|
U+22C2 | |||
∖ | Difference (set theory) | \setminus |
|
U+2216 | ||
∆ | Symmetric difference | \triangle |
Δ |
U+2206 | ||
⨯ | Cartesian product | \times |
× |
U+2A2F | ||
⊍ | Disjoint union | \dot\cup |
|
U+228D | ||
⊎ | \uplus |
⊎ |
U+228E | |||
⊔ | \sqcup |
|
U+2294 | |||
⩀ | Intersection (set theory) | \dot\cap |
|
U+2A40 | ||
⊓ | \sqcap |
|
U+2293 | |||
⩄ | \capwedge |
⩄ |
U+2A44 | |||
⫛ | Transversal intersection | \mlcp |
⫛ |
U+2ADB | ||
∁ | Complement (set theory) | \mathrm{C} |
|
U+2201 | ||
◌̅ | \overline{A} |
|
U+0305 | |||
𝒫 | Power set | \mathcal{P} |
|
U+1D4AB | ||
𝔓 | \mathfrak{P} |
|
U+1D513 | |||
℘ | \wp |
|
U+2118 | |||
⋀ | Infimum and supremum | \bigwedge |
|
U+22C0 | ||
⋁ | \bigvee |
|
U+22C1 |
Set relations
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
⊂ | Subset | \subset |
⊂ |
U+2282 | ||
⊊ | \subsetneq |
U+228A | ||||
⊆ | \subseteq |
⊆ |
U+2286 | |||
⟃ | A ⟃ B |
|
|
U+27C3 | ||
⊃ | Superset | \supset |
⊃ |
U+2283 | ||
⊋ | \supsetneq |
U+228B | ||||
⊇ | \supseteq |
⊇ |
U+2287 | |||
⟄ | A ⟄ B |
|
|
U+27C3 | ||
⊄ | \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 |
∉ |
U+2209 | |||
∌ | \not\ni |
U+220C |
Note: The symbols and are used inconsistently and often do not exclude the equality of the two quantities.
Number sets
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
𝔸 | Algebraic number | \mathbb{A} |
U+1D538 | |||
ℂ | Complex number | \mathbb{C} |
U+2102 | |||
ℍ | Quaternion | \mathbb{H} |
U+210D | |||
ℕ | Natural number | \mathbb{N} |
U+2115 | |||
𝕁 | \mathbb{J} |
U+1D541 | ||||
𝕎 | \mathbb{W} |
U+1D54E | ||||
ℚ | Rational number | \mathbb{Q} |
U+211A | |||
ℝ | Real number | \mathbb{R} |
U+211D | |||
ℤ | Integer | \mathbb{Z} |
U+2124 |
Cardinality
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
| | | Cardinality | \vert |
U+007C | |||
# | \# |
U+0023 | ||||
𝔠 | Cardinality of the continuum | \mathfrak{c} |
U+1D520 | |||
ℵ | , , ... | Aleph number | \aleph |
U+2135 | ||
ℶ | , , ... | Beth number | \beth |
U+2136 |
Arithmetic
Arithmetic operators
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
+ | Addition | + |
+ |
U+002B | ||
− | Subtraction | - |
− |
U+2212 | ||
⋅ | Multiplication | \cdot |
· |
U+22C5 | ||
⨯ | \times |
× |
U+2A2F | |||
: | Division (mathematics) | : : |
∶ |
U+003A | ||
∕ | / |
⁄ |
U+2215 | |||
÷ | \div |
÷ |
U+00F7 | |||
⁄ | \frac |
U+2044 | ||||
− | Unary minus | - |
− |
U+2212 | ||
± | Plus or minus sign | \pm |
± |
U+00B1 | ||
∓ | \mp |
∓ |
U+2213 | |||
( ) | Bracket | ( ) |
U+0028/9 | |||
[ ] | [ ] |
U+005B/D |
Equality signs
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
= | Equality (mathematics) | = |
U+003D | |||
≠ | Inequality (mathematics) | \neq |
≠ |
U+2260 | ||
≡ | Identity (mathematics) | \equiv |
≡ |
U+2261 | ||
≈ | Approximation | \approx |
≈ |
U+2248 | ||
∼ | Equivalence class | \sim |
∼ |
U+223C | ||
∝ | Proportionality (mathematics) | \propto |
∝ |
U+221D | ||
≙ | Correspondence (mathematics) | \widehat{=} |
U+2259 | |||
≟ | \overset{?}{=} |
U+225F |
Comparison
Symbol | Unicode symbol |
Usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|
< | < |
< |
U+003C | ||
> | > |
> |
U+003E | ||
≤ | \le , \leq |
≤ |
U+2264 | ||
≦ | \leqq |
≦ |
U+2266 | ||
≥ | \ge , \geq |
≥ |
U+2265 | ||
≧ | \geqq |
≧ |
U+2267 | ||
≪ | \ll |
≪ |
U+226A | ||
≫ | \gg |
≫ |
U+226B | ||
≷ | \gtrless |
≷ |
U+2277 |
Divisibility
Symbol | Unicode symbol |
Usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|
∣ | \mid |
U+2223 | |||
∤ | \nmid |
U+2224 | |||
⊥ | \perp |
⊥ |
U+22A5 | ||
⊓ | \sqcap |
U+2293 | |||
∧ | \wedge |
∧ |
U+2227 | ||
⊔ | \sqcup |
∧ |
U+2294 | ||
∨ | \vee |
∨ |
U+2228 | ||
≡ | \equiv |
≡ |
U+2261 |
Intervals
Symbol | Usage | LaTeX | HTML | Unicode |
---|---|---|---|---|
( ) [ ] |
U+0028/9 U+005B/D | |||
Elementary functions
Symbol | Unicode symbol |
Usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|
| | | \vert |
U+007C | |||
[ ] |
U+005B/D | ||||
⌊ ⌋ | \lfloor \rfloor |
⌊ ⌋ |
U+230A/B | ||
⌈ ⌉ | \lceil \rceil |
⌈ ⌉ |
U+2308/9 | ||
√ | \sqrt |
√ |
U+221A | ||
\sqrt[n]{x} | |||||
% | \% |
U+0025 |
Note: the power function is not represented by its own icon, but by the positioning of the exponent as a superscript.
Complex numbers
Symbol | Unicode symbol |
Usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|
ℜ | \Re |
U+211C | |||
ℑ | \Im |
U+2111 | |||
◌̅ | \bar |
U+0305 | |||
* | \ast |
∗ |
U+002A | ||
| | \vert |
U+007C | |||
\arg |
- Remark: real and imaginary parts of a complex number are often also denoted by and .
Mathematical constants
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
π | Pi | \pi |
{{pi}} |
U+03C0 | ||
e or e | e | e (mathematics) | e or \rm{e} |
e}} or {{math|e}} |
U+0065 | |
φ | Golden ratio | \varphi |
φ |
U+03C6 | ||
i or i | i | Imaginary unit | i or \rm{i} |
i}} or {{math|i}} |
U+0069 |
See also: mathematical constant for symbols of additional mathematical constants.
Calculus
Sequences and series
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∑ | Summation | \sum |
∑ |
U+2211 | ||
∏ | Product (mathematics) | \prod |
∏ |
U+220F | ||
∐ | Coproduct | \coprod |
U+2210 | |||
( ) | Sequence | ( ) |
U+0028/9 | |||
→ | Limit of a sequence | \to |
→ |
U+2192 | ||
∞ | Infinity | \infty |
∞ |
U+221E |
Functions
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
→ | Function (mathematics) | \to |
→ |
U+2192 | ||
↦ | \mapsto |
&mapstoright; |
U+21A6 | |||
( ) | Image (mathematics) | ( ) |
( or ) |
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 |
Limits
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
↑ | Limit of a function | \uparrow |
↑ |
U+2191 | ||
↗ | \nearrow |
U+2197 | ||||
→ | \to |
→ |
U+2192 | |||
↘ | \searrow |
U+2198 | ||||
↓ | \downarrow |
↓ |
U+2193 | |||
⁺ | ^+ |
⁺ |
U+207A | |||
⁻ | ^- |
⁻ |
U+207B | |||
Asymptotic behaviour
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∼ | Asymptotic analysis | \sim |
∼ |
U+223C | ||
o | Big O notation | o |
U+006F | |||
𝒪 | \mathcal{O} |
U+1D4AA | ||||
Θ | \Theta |
Θ |
U+0398 | |||
Ω | \Omega |
Ω |
U+03A9 | |||
ω | \omega |
ω |
U+03C9 |
Differential calculus
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
′ ″ | Lagrange's notation | \prime |
′ |
U+2032,U+2033 | ||
^{V} |
<sup>Ⅳ</sup> |
|||||
⁽ ⁾ | ^{( )} |
<sup>( )</sup> |
U+207D/E | |||
◌̇ | Newton's notation | \dot , \ddot |
U+0307 | |||
d | Leibniz's notation | d |
d |
U+0064 | ||
∂ | Partial derivative | \partial |
∂ |
U+2202 |
Integral calculus
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∫ | , | Integral | \int |
∫ |
U+222B | |
∮ | Curve integral | \oint |
U+222E | |||
∬ | Surface integral | \iint |
U+222C | |||
∭ | Volume integral | \iiint |
U+222D |
Vector calculus
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∇ | Gradient | \nabla |
∇ |
U+2207 | ||
Divergence | ||||||
Curl (mathematics) | ||||||
∆ | Laplace operator | \Delta |
Δ |
U+2206 | ||
□ | D'Alembert operator | \square |
U+25A1 |
Topology
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∂ | Boundary (topology) | \partial |
∂ |
U+2202 | ||
˚ | Interior (topology) | \circ |
° |
U+02DA | ||
◌̅ | Closure (topology) | \overline |
U+0305 | |||
◌̇ | Punctured neighbourhood | \dot |
— U+0307 |
Functional analysis
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
′ | Dual space | \prime |
′ |
U+2032/3 | ||
″ | ||||||
◌̂ | Complete metric space | \hat |
U+0302 | |||
↪ | Embedding | \hookrightarrow |
U+21AA |
Linear algebra and geometry
Elementary geometry
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
[ ] | Line segment | [ ] |
U+005B/D | |||
| | | \vert |
U+007C | ||||
̅ | \overline |
U+0305 | ||||
⃗ | 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 |
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 calculus
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
⋅ | 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) | U+2016 | ||||
̂ | Unit vector | \hat{} |
U+0302 |
Matrix calculus
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
⋅ | Matrix multiplication | \cdot |
· |
U+22C5 | ||
∘ | Hadamard product (matrices) | \circ |
U+2218 | |||
⊘ | Hadamard product (matrices) | \oslash |
U+2298 | |||
⊗ | Kronecker product | \otimes |
⊗ |
U+2297 | ||
T | Transposed matrix | ^T |
U+0054 | |||
⊺ | \intercal |
U+22BA | ||||
H | Conjugate transpose | ^H |
U+0048 | |||
* | \ast |
∗ |
U+002A | |||
† | \dagger |
† |
U+2020 | |||
⁻ | Inverse matrix | -1 |
U+207B | |||
+ | Moore–Penrose pseudoinverse | + |
+ |
U+002B | ||
| A | | Determinant | \vert |
U+007C | |||
‖ | Matrix norm | U+2016 |
Vector spaces
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
+ | 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 |
Algebra
Relations
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∘ | Composition of relations | \circ |
U+2218 | |||
Operation (mathematics) | ||||||
• | \bullet |
• |
U+2219 | |||
∗ | \ast |
∗ |
U+2217 | |||
≤ | Order relation | \leq |
≤ |
U+2264 | ||
≺ | Successor ordinal | \prec |
U+227A | |||
≻ | \succ |
U+227B | ||||
∼ | Equivalence relation | \sim |
∼ |
U+223C | ||
[ ] | Equivalence class | [ ] |
U+005B/D | |||
/ | Quotient set | / |
⁄ |
U+002F | ||
⁻ | Inverse relation | -1 |
U+207B | |||
+ | Transitive closure | + |
U+002B | |||
* | Reflexive closure | \ast |
∗ |
U+002A |
Group theory
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
≃ | 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 symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
/ | Field extension | / |
⁄ |
U+002F | ||
| | \mid |
U+007C | ||||
: | \colon |
U+003A | ||||
Degree of a field extension | ||||||
̅ | Algebraic closure | \overline |
U+0305 | |||
( ) | Field extension, Algebraic number field | ( ) |
U+0028/9 | |||
𝕂 | Field (mathematics) | \mathbb{K} |
U+1D542 | |||
𝔽 | Finite field | \mathbb{F} |
U+1D53D |
Ring theory
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∗ | 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 |
Combinatorics
Symbol | Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|
Factorial | ! |
U+0021 | |||
Derangement | |||||
Double factorial | |||||
Combination | \binom |
U+0028/9 | |||
Multinomial coefficient | |||||
Multiset | (( )) | U+0028/9 | |||
Pochhammer symbol | \overline |
U+0305 | |||
\underline |
U+0332 | ||||
Primorial | \# |
U+0023 |
Stochastics
Probability theory
Symbol | Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|
Probability measure | P |
U+2119 | |||
Conditional probability | \mid |
U+007C | |||
/ |
⁄ |
U+2215 | |||
Expected value | E |
U+1D53C | |||
Variance | V |
U+1D54D | |||
Standard deviation | \sigma |
σ |
U+03C3 | ||
Covariance | |||||
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
Logic
Please note that 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".
Operators
Symbol | Unicode symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
∧ | Logical conjunction | \land |
∧ |
U+2227 | ||
∨ | Logical disjunction | \lor |
∨ |
U+2228 | ||
⇔ | Logical equivalence | \Leftrightarrow |
⇔ |
U+21D4 | ||
↔ | \leftrightarrow |
↔ |
U+2194 | |||
⇒ | Logical consequence | \Rightarrow |
⇒ |
U+21D2 | ||
→ | \rightarrow |
→ |
U+2192 | |||
⊕ | Exclusive or | \oplus |
⊕ |
U+2295 | ||
⊻ | \veebar |
U+22BB | ||||
⩒ | \dot\lor |
U+2A52 | ||||
¬ | Logical negation | \lnot |
¬ |
U+00AC | ||
̅ | \bar |
U+0305 | ||||
← | Converse implication | \leftarrow |
← |
U+2190 |
Quantifiers
Symbol | Unicode symbol |
Usage | Interpretation | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|---|
∀ | 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 symbol |
Usage | Articles with usage | LaTeX | HTML | Unicode |
---|---|---|---|---|---|---|
⊢ | Propositional calculus, Turnstile | \vdash |
U+22A2 | |||
⊨ | Inference | \models |
U+22A8 | |||
Tautology (logic) | ||||||
⊤ | \top |
U+22A4 | ||||
⊥ | Contradiction | \bot |
⊥ |
U+22A5 | ||
∴ | Deductive reasoning | \therefore |
U+2234 | |||
∵ | \because |
U+2235 | ||||
∎ | Q.E.D. | \blacksquare |
U+220E | |||
□ | \Box |
U+25A1 |
Alphanumeric Symbols
Digits
Name | Digits |
---|---|
Double-struck | 𝟘 𝟙 𝟚 𝟛 𝟜 𝟝 𝟞 𝟟 𝟠 𝟡 |
Alphabets
Name | Sub-type | Alphabet |
---|---|---|
Double-struck | 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 ℽ ℾ ℼ ℿ ⅀ | |
Script/Calligraphy | 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 | ||
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 | 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 | ||
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 | 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 | ||
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 | ||
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 | |
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 | ||
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 | ALP | 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
- List of mathematical symbols
- Help:Displaying a formula
- 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
- Typographical conventions in mathematical formulae
- Wikipedia notation and formula guidelines:
- Wikipedia:Manual of Style/Mathematics#Mathematical conventions
- Wikipedia:WikiProject Logic/Standards for notation
- Help:Special characters
- Other
References
Bibliography
- Tilo Arens; Frank Hettlich; Christian Karpfinger; Ulrich Kockelkorn; Klaus Lichtenegger; Hellmuth Stachel (2011), Mathematik (in German) (2. ed.), Spektrum Akademischer Verlag, pp. 1483ff, ISBN 978-3-827-42347-4
- Wolfgang Hackbusch (2010), Taschenbuch der Mathematik, Band 1 (in German) (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
Wikimedia Commons has media related to Mathematical symbols. |
- "Comprehensive List of Mathematical Symbols" (PDF). Retrieved 2020-08-08.
- Scott Pakin (25 June 2020). "The Comprehensive LaTeX Symbol List" (PDF; 4,4 MB). The Comprehensive TeX Archive Network (CTAN). Retrieved 8 August 2020.
- 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”