Difference between revisions of "List of mathematical symbols"
Borishaase (talk | contribs) (List of mathematical symbols) |
Borishaase (talk | contribs) (List of mathematical symbols) |
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!width="5%"| Symbol | !width="5%"| Symbol | ||
!width="9%"| Usage | !width="9%"| Usage | ||
− | !width=" | + | !width="50%"| Interpretation |
− | !width=" | + | !width="10%"| Article |
!width="10%"| LaTeX | !width="10%"| LaTeX | ||
!width="8%"| HTML | !width="8%"| HTML | ||
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|style="text-align:center"| <math>\tilde{a}</math> | |style="text-align:center"| <math>\tilde{a}</math> | ||
| Reciprocal of <math>a</math>: <math>1/a</math> resp. <math>a^{-1}</math> for <math>a \ne 0</math> (read as "turn") | | Reciprocal of <math>a</math>: <math>1/a</math> resp. <math>a^{-1}</math> for <math>a \ne 0</math> (read as "turn") | ||
− | | | + | | [[w:Multiplicative inverse|<span class="wikipedia">Reciprocal</span>]] |
| <code>\widetilde{}</code> | | <code>\widetilde{}</code> | ||
| | | | ||
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|style="text-align:center"| <math>\acute{a}</math> | |style="text-align:center"| <math>\acute{a}</math> | ||
| Increment of <math>a</math>: <math>a - 1</math> (read as "dec") | | Increment of <math>a</math>: <math>a - 1</math> (read as "dec") | ||
− | | | + | | [[w:Increment and decrement operators|<span class="wikipedia">Increment</span>]] |
| <code>\acute{}</code> | | <code>\acute{}</code> | ||
| | | | ||
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|style="text-align:center"| <math>\grave{a}</math> | |style="text-align:center"| <math>\grave{a}</math> | ||
| Decrement of <math>a</math>: <math>a + 1</math> (read as "inc") | | Decrement of <math>a</math>: <math>a + 1</math> (read as "inc") | ||
− | | | + | | [[w:Increment and decrement operators|<span class="wikipedia">Decrement</span>]] |
| <code>\grave{}</code> | | <code>\grave{}</code> | ||
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|style="text-align:center"| <math>\hat{a}</math> | |style="text-align:center"| <math>\hat{a}</math> | ||
| Double of <math>a</math>: <math>2a</math> (read as "hat") | | Double of <math>a</math>: <math>2a</math> (read as "hat") | ||
− | | | + | | [[w:Double#Mathematics_and_computing|<span class="wikipedia">Double</span>]] |
| <code>\widehat{}</code> | | <code>\widehat{}</code> | ||
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|style="text-align:center"| <math>\check{a}</math> | |style="text-align:center"| <math>\check{a}</math> | ||
| Half of <math>a</math>: <math>a/2</math> (read as "half") | | Half of <math>a</math>: <math>a/2</math> (read as "half") | ||
− | | | + | | [[w:One_half#Mathematics|<span class="wikipedia">One half</span>]] |
| <code>\widecheck{}</code> | | <code>\widecheck{}</code> | ||
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|style="text-align:center"| <math>a\text{-}</math> | |style="text-align:center"| <math>a\text{-}</math> | ||
| <math>a</math> negated: <math>a\text{-}</math> (read as "neg") | | <math>a</math> negated: <math>a\text{-}</math> (read as "neg") | ||
− | | | + | | [[w:Plus_and_minus_signs#Minus_sign|<span class="wikipedia">Minus sign</span>]] |
| <code>\text{-}</code> | | <code>\text{-}</code> | ||
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|style="text-align:center"| <math>{}^{\nu} A</math> | |style="text-align:center"| <math>{}^{\nu} A</math> | ||
| greatest finite number: intersection of the complex or real set <math>A</math> for <math>{}^{\nu}\mathbb{C} := [-\nu, \; \nu] + \underline{1}[-\nu, \nu]</math> | | greatest finite number: intersection of the complex or real set <math>A</math> for <math>{}^{\nu}\mathbb{C} := [-\nu, \; \nu] + \underline{1}[-\nu, \nu]</math> | ||
− | | [[w:Finite | + | | [[w:Finite set|<span class="wikipedia">Finite number</span>]] |
| <code>\nu</code> | | <code>\nu</code> | ||
| <code>&nu;</code> | | <code>&nu;</code> |
Revision as of 09:03, 28 July 2024
The following mathematical symbols are used differently from Wikipedia:
Symbol | Usage | 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{}
|
U+00B4
| |
[math]\displaystyle{ \grave{} }[/math] | [math]\displaystyle{ \grave{a} }[/math] | Decrement of [math]\displaystyle{ a }[/math]: [math]\displaystyle{ a + 1 }[/math] (read as "inc") | Decrement | \grave{}
|
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{}
|
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{}
|
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{-}
|
U+002D
| |
_ | [math]\displaystyle{ z = a + \underline{b} }[/math] | Complex part of [math]\displaystyle{ z }[/math]: [math]\displaystyle{ \underline{1}b }[/math] with imaginary unit [math]\displaystyle{ \underline{1} }[/math] (read as "comp") | Imaginary unit | \underline{}
|
U+005F
| |
[math]\displaystyle{ \nu }[/math] | [math]\displaystyle{ {}^{\nu} A }[/math] | greatest finite number: intersection of the complex or real set [math]\displaystyle{ A }[/math] for [math]\displaystyle{ {}^{\nu}\mathbb{C} := [-\nu, \; \nu] + \underline{1}[-\nu, \nu] }[/math] | Finite number | \nu
|
ν
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U+03BD
|
[math]\displaystyle{ \omega }[/math] | [math]\displaystyle{ {}^{\omega} A }[/math] | greatest mid-finite number: intersection of the complex or real set [math]\displaystyle{ A }[/math] for [math]\displaystyle{ {}^{\omega}\mathbb{C} := [-\omega, \omega] + \underline{1}[-\omega, \omega] }[/math] | Infinite number | \omega
|
ω
|
U+03C9
|
[math]\displaystyle{ \iota }[/math] | [math]\displaystyle{ \iota = \min \mathbb{R}_{\gt 0} }[/math] | smallest positive real number | Positive number | \iota
|
ι
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U+03B9
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[math]\displaystyle{ {}^n }[/math] | [math]\displaystyle{ {}^n a = a^{(n)} }[/math] | [math]\displaystyle{ n }[/math]-th derivative of [math]\displaystyle{ a }[/math] (read as "n of a") | Derivative | {}^n
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[math]\displaystyle{ {}_b }[/math] | [math]\displaystyle{ {}_b a = \log_b a }[/math] | Logarithm 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
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[math]\displaystyle{ {}_1 }[/math] | [math]\displaystyle{ {}_1 x = x/||x|| }[/math] | Unit vector to [math]\displaystyle{ x \ne 0 }[/math] | Unit vector | {}_1
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[math]\displaystyle{ \infty }[/math] | [math]\displaystyle{ \infty \gg \tilde{\iota}^2 }[/math] | Replacing [math]\displaystyle{ \pm0 }[/math] by [math]\displaystyle{ \pm\widetilde{\infty} }[/math] | Infinity | \infty
|
∞
|
U+221E
|
[math]\displaystyle{ \mathbb M }[/math] | [math]\displaystyle{ {\mathbb{M}}_{\mathbb{R}} = {}^{\omega}{\mathbb{R}} \setminus {}^{\nu}{\mathbb{R}} }[/math] | mid-finite numbers: [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 [math]\displaystyle{ A }[/math] | Point symmetry | \dot
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˙
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U+02D9
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[math]\displaystyle{ {}^{\ll} }[/math] | [math]\displaystyle{ A^{\ll} }[/math] | Set [math]\displaystyle{ A }[/math] without boundary [math]\displaystyle{ \partial A }[/math] given by min [math]\displaystyle{ \{d(x, y) : x \in A°, y \in A^{\prime}\} = \tilde{\nu} }[/math] | Boundary | {}^{\ll}
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≪
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U+226A
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[math]\displaystyle{ ' }[/math] | [math]\displaystyle{ A' }[/math] | Complement of the set [math]\displaystyle{ A }[/math] | Complement | ' | U+0027
| |
[math]\displaystyle{ \leftharpoonup }[/math] | [math]\displaystyle{ \overset{\leftharpoonup}{a} }[/math] | Predecessor of [math]\displaystyle{ a }[/math] (read as "pre") | Predecessor | \leftharpoonup
|
U+21BC
| |
[math]\displaystyle{ \rightharpoonup }[/math] | [math]\displaystyle{ \overset{\rightharpoonup}{a} }[/math] | Successor of [math]\displaystyle{ a }[/math] (read as "post") | Successor | \rightharpoonup
|
U+21C0
| |
[math]\displaystyle{ \upharpoonleft }[/math] | [math]\displaystyle{ a{\upharpoonleft}_n }[/math] | [math]\displaystyle{ n }[/math]-fold repetition of [math]\displaystyle{ a }[/math] in the form [math]\displaystyle{ (a, ... , a)^T }[/math] (read as "rep") | Repetition | \upharpoonleft
|
U+21BF
| |
[math]\displaystyle{ \upharpoonright }[/math] | [math]\displaystyle{ a{\upharpoonright}_n }[/math] | Projection of [math]\displaystyle{ (a_1, ... , a_n)^T }[/math] onto the [math]\displaystyle{ k }[/math]-th entry [math]\displaystyle{ a_k }[/math] (read as "proj") | Projection | \upharpoonright
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U+21BE
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[math]\displaystyle{ \downarrow }[/math] | [math]\displaystyle{ \downarrow {x} }[/math] | Differential of [math]\displaystyle{ x }[/math] (read as "down") | Differential | \downarrow
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↓
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U+8595
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[math]\displaystyle{ \uparrow }[/math] | [math]\displaystyle{ \uparrow f(x) }[/math] | Integral of [math]\displaystyle{ f(x) }[/math] (read as "up") | Integral | \uparrow
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↑
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U+8593
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[math]\displaystyle{ \Box }[/math] | End of proof | Proof | \Box
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U+25A1
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[math]\displaystyle{ \triangle }[/math] | End of definition | Definition | \triangle
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Δ
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U+2206
|