List of mathematical symbols
The following mathematical symbols are used differently from Wikipedia:
| Symbol | Example | Interpretation | Article | LaTeX | HTML | Unicode |
|---|---|---|---|---|---|---|
| [math]\displaystyle{ \widetilde{} }[/math] | [math]\displaystyle{ \tilde{a} }[/math] | Reciprocal of [math]\displaystyle{ a }[/math]: [math]\displaystyle{ 1/a }[/math] resp. [math]\displaystyle{ a^{-1} }[/math] for [math]\displaystyle{ a \ne 0 }[/math] (read as "turn") | Reciprocal | \widetilde{}
|
U+007E
| |
| [math]\displaystyle{ \acute{} }[/math] | [math]\displaystyle{ \acute{a} }[/math] | Increment of [math]\displaystyle{ a }[/math]: [math]\displaystyle{ a - 1 }[/math] (read as "dec") | Increment | \acute{}
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U+00B4
| |
| [math]\displaystyle{ \overset{\scriptsize{\grave{}}}{} }[/math] | [math]\displaystyle{ \overset{\scriptsize{\grave{}}}{a} }[/math] | Decrement of [math]\displaystyle{ a }[/math]: [math]\displaystyle{ a + 1 }[/math] (read as "inc") | Decrement | \grave{}
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U+0060
| |
| [math]\displaystyle{ \widehat{} }[/math] | [math]\displaystyle{ \hat{a} }[/math] | Double of [math]\displaystyle{ a }[/math]: [math]\displaystyle{ 2a }[/math] (read as "hat") | Double | \widehat{}
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U+0302
| |
| [math]\displaystyle{ \check{} }[/math] | [math]\displaystyle{ \check{a} }[/math] | Half of [math]\displaystyle{ a }[/math]: [math]\displaystyle{ a/2 }[/math] (read as "half") | One half | \widecheck{}
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U+02C7
| |
| [math]\displaystyle{ \text{-} }[/math] | [math]\displaystyle{ a\text{-} }[/math] | [math]\displaystyle{ a }[/math] negated: [math]\displaystyle{ a\text{-} }[/math] (read as "neg") | Minus sign | \text{-}
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U+002D
| |
| [math]\displaystyle{ \leftharpoonup }[/math] | [math]\displaystyle{ \overset{\leftharpoonup}{a} }[/math] | Predecessor of [math]\displaystyle{ a }[/math] (read as "pre") | Predecessor | \leftharpoonup
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U+21BC
| |
| [math]\displaystyle{ \rightharpoonup }[/math] | [math]\displaystyle{ \overset{\rightharpoonup}{a} }[/math] | Successor of [math]\displaystyle{ a }[/math] (read as "post") | Successor | \rightharpoonup
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U+21C0
| |
| [math]\displaystyle{ \times }[/math] | [math]\displaystyle{ a_{\times n} }[/math] | [math]\displaystyle{ n }[/math]-fold repetition of [math]\displaystyle{ a }[/math] as [math]\displaystyle{ (a,\dots, a)^T }[/math] (read as "rep") | Repetition | \times
|
×
|
U+00D7
|
| _ | [math]\displaystyle{ \underline{a} }[/math] | Product of the imaginary unit [math]\displaystyle{ \underline{1} }[/math] with [math]\displaystyle{ a \in {\mathbb{R}}^* }[/math] (read as "im") | Imaginary unit | \underline{}
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U+005F
| |
| [math]\displaystyle{ \epsilon }[/math] | [math]\displaystyle{ \epsilon^{\underline{\pi}} = 1\text{-} }[/math] | Euler’s number (read as „eps“) | Euler’s number | \epsilon
|
ε
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U+03F5
|
| [math]\displaystyle{ \iota }[/math] | [math]\displaystyle{ {\mu}_{\iota} }[/math] | Smallest positive real number [math]\displaystyle{ \iota := \min \mathbb{R}_{\gt 0} }[/math] and standard measure [math]\displaystyle{ {\mu}_{\iota} }[/math] | Positive number | \iota
|
ι
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U+03B9
|
| [math]\displaystyle{ \nu }[/math] | [math]\displaystyle{ {}^{\nu} A }[/math] | Greatest finite number: [math]\displaystyle{ A \cap {}^{\nu}\mathbb{C} := [-\nu, \nu] + \underline{1}[-\nu, \nu] }[/math] with [math]\displaystyle{ A \in \mathbb{K} \in \{\mathbb{C}, \mathbb{R}\} }[/math] | Finite number | \nu
|
ν
|
U+03BD
|
| [math]\displaystyle{ \omega }[/math] | [math]\displaystyle{ {}^{\omega} A }[/math] | Greatest mid-finite number: [math]\displaystyle{ A \cap {}^{\omega}\mathbb{C} := [-\omega, \omega] + \underline{1}[-\omega, \omega] }[/math] for [math]\displaystyle{ A \in \mathbb{K} }[/math] | Infinite number | \omega
|
ω
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U+03C9
|
| [math]\displaystyle{ \infty }[/math] | [math]\displaystyle{ \infty \gg \tilde{\iota}^2 }[/math] | Replacing [math]\displaystyle{ \pm0 }[/math] by [math]\displaystyle{ \pm\widetilde{\infty} }[/math] as well as [math]\displaystyle{ A_{\infty} := A \cup \{\pm\infty\} }[/math] for the set [math]\displaystyle{ A \subseteq \mathbb{R} }[/math] | Infinity | \infty
|
∞
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U+221E
|
| [math]\displaystyle{ \mathbb M }[/math] | [math]\displaystyle{ {\mathbb{M}}_{\mathbb{K}} }[/math] | Sets of mid-finite numbers: [math]\displaystyle{ {\mathbb{M}}_{\mathbb{R}} := {}^{\omega}{\mathbb{R}}{\setminus}{}^{\nu}{\mathbb{R}} }[/math] and [math]\displaystyle{ {\mathbb{M}}_{\mathbb{C}} := {\mathbb{M}}_{\mathbb{R}} + \underline{\mathbb{M}}_{\mathbb{R}} }[/math] | Infinite set | \mathbb{M}
|
𝕄
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U+1D544
|
| [math]\displaystyle{ {}^{\dot{}} }[/math] | [math]\displaystyle{ \dot{A} }[/math] | Point-symmetric set of [math]\displaystyle{ A }[/math] (read as "point") | Point symmetry | \dot
|
˙
|
U+02D9
|
| [math]\displaystyle{ \downarrow }[/math] | [math]\displaystyle{ {\downarrow}x }[/math] | Differential of [math]\displaystyle{ x }[/math] (read as "down") | Differential | \downarrow
|
↓
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U+8595
|
| [math]\displaystyle{ \uparrow }[/math] | [math]\displaystyle{ {\uparrow}f(x){\downarrow}x }[/math] | Integral of [math]\displaystyle{ f(x) }[/math] (read as "up") | Integral | \uparrow
|
↑
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U+8593
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| [math]\displaystyle{ {}^n }[/math] | [math]\displaystyle{ {}^n a }[/math] | [math]\displaystyle{ n }[/math]-th derivative [math]\displaystyle{ a^{(n)} }[/math] of [math]\displaystyle{ a }[/math] (read as "n of a") | Derivative | {}^n
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||
| [math]\displaystyle{ {}_b }[/math] | [math]\displaystyle{ {}_b a }[/math] | Logarithm [math]\displaystyle{ \log_b a }[/math] to base [math]\displaystyle{ b }[/math] for [math]\displaystyle{ a \in \mathbb{C} \setminus \mathbb{R}_{\le 0} }[/math] (read as "b log a") | Logarithm | {}_b
|
||
| [math]\displaystyle{ {}_1 }[/math] | [math]\displaystyle{ {}_1 x }[/math] | Unit vector [math]\displaystyle{ x/\lVert x\rVert }[/math] for [math]\displaystyle{ x \ne 0 }[/math] (read as "1 vec x") | Unit vector | {}_1
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||
| [math]\displaystyle{ \complement }[/math] | [math]\displaystyle{ \complement_{(m=)1}^n\;a_m }[/math] | Concatenation (read as "con") of the [math]\displaystyle{ a_m }[/math] to [math]\displaystyle{ a_1, \dots, a_n }[/math] | Concatenation operator | \complement
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∁
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U+2201
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| [math]\displaystyle{ {\LARGE{\textbf{$\times$}}} }[/math] | [math]\displaystyle{ {\LARGE{\textbf{$\times$}}}_{(m=)1}^n{a_m} }[/math] | Product of [math]\displaystyle{ a_1 }[/math] up to [math]\displaystyle{ a_n }[/math] | Product | \times
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×
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U+00D7
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| [math]\displaystyle{ {\LARGE{\textbf{+}}} }[/math] | [math]\displaystyle{ {\LARGE{\textbf{+}}}_{(m=)1}^n{a_m} }[/math] | Sum of [math]\displaystyle{ a_1 }[/math] up to [math]\displaystyle{ a_n }[/math] | Sum | \plus
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+
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U+002B
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| [math]\displaystyle{ {\LARGE{\textbf{$\pm$}}} }[/math] | [math]\displaystyle{ {\LARGE{\textbf{$\pm$}}}_{(m=)1}^n{a_m} }[/math] | Alternating sum of [math]\displaystyle{ a_1 }[/math] up to [math]\displaystyle{ a_n }[/math] negating the second summand | Alternating series | \pm
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±
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U+00B1
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| [math]\displaystyle{ {\LARGE{\textbf{$\mp$}}} }[/math] | [math]\displaystyle{ {\LARGE{\textbf{$\mp$}}}_{(m=)1}^n{a_m} }[/math] | Alternating sum of [math]\displaystyle{ a_1 }[/math] up to [math]\displaystyle{ a_n }[/math] negating the first summand | Alternating series | \mp
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∓
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U+2213
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| [math]\displaystyle{ \Box }[/math] | ditto | End of proof | Proof | \Box
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□
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U+25A1
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| [math]\displaystyle{ \triangle }[/math] | ditto | End of definition | Definition | \triangle
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Δ
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U+2206
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