Difference between revisions of "List of mathematical symbols"
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− | The following mathematical [[w:Symbol|<span class="wikipedia">symbols</span>]] are used | + | The following mathematical [[w:Symbol|<span class="wikipedia">symbols</span>]] are used differently from [[w:wikipedia|<span class="wikipedia">Wikipedia</span>]]: |
{| class="wikitable" | {| class="wikitable" | ||
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!width="8%"| Unicode | !width="8%"| Unicode | ||
|- | |- | ||
− | |style="text-align:center"| <math>\ | + | |style="text-align:center"| <math>\widetilde{}</math> |
− | |style="text-align:center"| <math>\ | + | |style="text-align:center"| <math>\tilde{a}</math> |
− | | <math>1/a</math> resp. <math>a^{-1}</math> for <math>a \ne 0</math> | + | | Reciprocal of <math>a</math>: <math>1/a</math> resp. <math>a^{-1}</math> for <math>a \ne 0</math> (read as "turn") |
| | | | ||
− | | <code>\ | + | | <code>\widetilde{}</code> |
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− | | <code>U+ | + | | <code>U+007E</code> |
|- | |- | ||
|style="text-align:center"| <math>\acute{}</math> | |style="text-align:center"| <math>\acute{}</math> | ||
|style="text-align:center"| <math>\acute{a}</math> | |style="text-align:center"| <math>\acute{a}</math> | ||
− | | <math>a - 1</math> | + | | Increment of <math>a</math>: <math>a - 1</math> (read as "dec") |
| | | | ||
| <code>\acute{}</code> | | <code>\acute{}</code> | ||
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|style="text-align:center"| <math>\grave{}</math> | |style="text-align:center"| <math>\grave{}</math> | ||
|style="text-align:center"| <math>\grave{a}</math> | |style="text-align:center"| <math>\grave{a}</math> | ||
− | | <math>a + 1</math> | + | | Decrement of <math>a</math>: <math>a + 1</math> (read as "inc") |
| | | | ||
| <code>\grave{}</code> | | <code>\grave{}</code> | ||
| | | | ||
| <code>U+0060</code> | | <code>U+0060</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>\widehat{}</math> | ||
+ | |style="text-align:center"| <math>\hat{a}</math> | ||
+ | | Double of <math>a</math>: <math>2a</math> (read as "hat") | ||
+ | | | ||
+ | | <code>\widehat{}</code> | ||
+ | | | ||
+ | | <code>U+0302</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>\check{}</math> | ||
+ | |style="text-align:center"| <math>\check{a}</math> | ||
+ | | Half of <math>a</math>: <math>a/2</math> (read as "half") | ||
+ | | | ||
+ | | <code>\widecheck{}</code> | ||
+ | | | ||
+ | | <code>U+02C7</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>\text{-}</math> | ||
+ | |style="text-align:center"| <math>a\text{-}</math> | ||
+ | | <math>a</math> negated: <math>a\text{-}</math> (read as "neg") | ||
+ | | | ||
+ | | <code>\text{-}</code> | ||
+ | | | ||
+ | | <code>U+002D</code> | ||
+ | |- | ||
+ | |style="text-align:center"| _ | ||
+ | |style="text-align:center"| <math>z = a + \underline{b}</math> | ||
+ | | Complex part of <math>z</math>: <math>\underline{1}b</math> with imaginary unit <math>\underline{1}</math> (read as "comp") | ||
+ | | | ||
+ | | <code>\underline{}</code> | ||
+ | | | ||
+ | | <code>U+005F</code> | ||
|- | |- | ||
|style="text-align:center"| <math>\nu</math> | |style="text-align:center"| <math>\nu</math> | ||
|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] + | + | | 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> |
| | | | ||
| <code>\nu</code> | | <code>\nu</code> | ||
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|style="text-align:center"| <math>\omega</math> | |style="text-align:center"| <math>\omega</math> | ||
|style="text-align:center"| <math>{}^{\omega} A</math> | |style="text-align:center"| <math>{}^{\omega} A</math> | ||
− | | greatest mid-finite number: intersection of the complex or real set <math>A</math> for <math>{}^{\omega}\mathbb{C} := [-\omega, \omega] + | + | | greatest mid-finite number: intersection of the complex or real set <math>A</math> for <math>{}^{\omega}\mathbb{C} := [-\omega, \omega] + \underline{1}[-\omega, \omega]</math> |
| | | | ||
| <code>\omega</code> | | <code>\omega</code> | ||
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| <code>U+03C9</code> | | <code>U+03C9</code> | ||
|- | |- | ||
− | |style="text-align:center"| <math>\ | + | |style="text-align:center"| <math>\iota</math> |
− | |style="text-align:center"| <math>\ | + | |style="text-align:center"| <math>\iota = \min \mathbb{R}_{>0}</math> |
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| smallest positive real number | | smallest positive real number | ||
| | | | ||
− | | <code> | + | | <code>\iota</code> |
− | | <code> | + | | <code>&iota;</code> |
− | | | + | | <code>U+03B9</code> |
|- | |- | ||
|style="text-align:center"| <math>{}_b</math> | |style="text-align:center"| <math>{}_b</math> | ||
|style="text-align:center"| <math>{}_b a = \log_b a</math> | |style="text-align:center"| <math>{}_b a = \log_b a</math> | ||
− | | Logarithm to base <math>b</math> for <math>a \in \mathbb{C} \setminus \mathbb{R}_{\le 0}</math> | + | | Logarithm to base <math>b</math> for <math>a \in \mathbb{C} \setminus \mathbb{R}_{\le 0}</math> (read as "b log a") |
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| <code>{}_b</code> | | <code>{}_b</code> | ||
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|style="text-align:center"| <math>\infty</math> | |style="text-align:center"| <math>\infty</math> | ||
− | |style="text-align:center"| <math>\infty \gg \ | + | |style="text-align:center"| <math>\infty \gg \tilde{\iota}^2</math> |
− | | Replacing <math>\pm0</math> by <math>\pm\ | + | | Replacing <math>\pm0</math> by <math>\pm\widetilde{\infty}</math> |
| [[w:Infinity|<span class="wikipedia">Infinity</span>]] | | [[w:Infinity|<span class="wikipedia">Infinity</span>]] | ||
| <code>\infty</code> | | <code>\infty</code> | ||
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|style="text-align:center"| <math>\mathbb M</math> | |style="text-align:center"| <math>\mathbb M</math> | ||
|style="text-align:center"| <math>{\mathbb{M}}_{\mathbb{R}} = {}^{\omega}{\mathbb{R}} \setminus {}^{\nu}{\mathbb{R}}</math> | |style="text-align:center"| <math>{\mathbb{M}}_{\mathbb{R}} = {}^{\omega}{\mathbb{R}} \setminus {}^{\nu}{\mathbb{R}}</math> | ||
− | | mid-finite numbers: <math>{\mathbb{M}}_{\mathbb{C}} := {\mathbb{M}}_{\mathbb{R}} + | + | | mid-finite numbers: <math>{\mathbb{M}}_{\mathbb{C}} := {\mathbb{M}}_{\mathbb{R}} + \underline{\mathbb{M}}_{\mathbb{R}}</math> |
| | | | ||
| <code>\mathbb{M}</code> | | <code>\mathbb{M}</code> | ||
| <code>&Mopf;</code> | | <code>&Mopf;</code> | ||
| <code>U+1D544</code> | | <code>U+1D544</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>{}^{\dot{}}</math> | ||
+ | |style="text-align:center"| <math>\dot{A}</math> | ||
+ | |point-symmetric set <math>A</math> | ||
+ | | | ||
+ | | <code>\dot</code> | ||
+ | | <code>˙</code> | ||
+ | | <code>U+02D9</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>{}^{\ll}</math> | ||
+ | |style="text-align:center"| <math>A^{\ll}</math> | ||
+ | |Set <math>A</math> without boundary <math>\partial A</math> given by min <math>\{d(x, y) : x \in A°, y \in A^{\prime}\} = \tilde{\nu}</math> | ||
+ | | | ||
+ | | <code>{}^{\ll}</code> | ||
+ | | <code>≪</code> | ||
+ | | <code>U+226A</code> | ||
|- | |- | ||
|style="text-align:center"| <math>'</math> | |style="text-align:center"| <math>'</math> | ||
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|style="text-align:center"| <math>\curvearrowleft</math> | |style="text-align:center"| <math>\curvearrowleft</math> | ||
|style="text-align:center"| <math>\curvearrowleft {a}</math> | |style="text-align:center"| <math>\curvearrowleft {a}</math> | ||
− | | Predecessor of | + | | Predecessor of <math>a</math> (read as "pre") |
| | | | ||
| <code>\curvearrowleft</code> | | <code>\curvearrowleft</code> | ||
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|style="text-align:center"| <math>\curvearrowright</math> | |style="text-align:center"| <math>\curvearrowright</math> | ||
|style="text-align:center"| <math>\curvearrowright {a}</math> | |style="text-align:center"| <math>\curvearrowright {a}</math> | ||
− | | Successor of | + | | Successor of <math>a</math> (read as "post") |
| | | | ||
| <code>\curvearrowright</code> | | <code>\curvearrowright</code> | ||
| | | | ||
| <code>U+21B7</code> | | <code>U+21B7</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>\upharpoonright</math> | ||
+ | |style="text-align:center"| <math>a{\upharpoonright}_n</math> | ||
+ | | <math>n</math>-fold repetition of <math>a</math> in the form <math>(a, ... , a)^T</math> (read as "rep") | ||
+ | | | ||
+ | | <code>\upharpoonright</code> | ||
+ | | | ||
+ | | <code>U+21BE</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>\downarrow</math> | ||
+ | |style="text-align:center"| <math>\downarrow {x}</math> | ||
+ | | Differential of <math>x</math> (read as "down") | ||
+ | | | ||
+ | | <code>\downarrow</code> | ||
+ | | <code>&darr;</code> | ||
+ | | <code>U+8595</code> | ||
+ | |- | ||
+ | |style="text-align:center"| <math>\uparrow</math> | ||
+ | |style="text-align:center"| <math>\uparrow f(x)</math> | ||
+ | | Integral of <math>f(x)</math> (read as "up") | ||
+ | | | ||
+ | | <code>\uparrow</code> | ||
+ | | <code>&uarr;</code> | ||
+ | | <code>U+8593</code> | ||
|- | |- | ||
|style="text-align:center"| <math>\Box</math> | |style="text-align:center"| <math>\Box</math> |
Revision as of 04:59, 15 January 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") | \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") | \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") | \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") | \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") | \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") | \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") | \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] | \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] | \omega
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ω
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U+03C9
| |
[math]\displaystyle{ \iota }[/math] | [math]\displaystyle{ \iota = \min \mathbb{R}_{\gt 0} }[/math] | smallest positive real number | \iota
|
ι
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U+03B9
| |
[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") | {}_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] | {}_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
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∞
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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] | \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] | \dot
|
˙
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U+02D9
| |
[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] | {}^{\ll}
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≪
|
U+226A
| |
[math]\displaystyle{ ' }[/math] | [math]\displaystyle{ A' }[/math] | Complement of the set [math]\displaystyle{ A }[/math] | Complement (set theory) | ' | U+0027
| |
[math]\displaystyle{ \curvearrowleft }[/math] | [math]\displaystyle{ \curvearrowleft {a} }[/math] | Predecessor of [math]\displaystyle{ a }[/math] (read as "pre") | \curvearrowleft
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U+21B6
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[math]\displaystyle{ \curvearrowright }[/math] | [math]\displaystyle{ \curvearrowright {a} }[/math] | Successor of [math]\displaystyle{ a }[/math] (read as "post") | \curvearrowright
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U+21B7
| ||
[math]\displaystyle{ \upharpoonright }[/math] | [math]\displaystyle{ a{\upharpoonright}_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") | \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") | \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") | \uparrow
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↑
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U+8593
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[math]\displaystyle{ \Box }[/math] | End of proof | \Box
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U+25A1
| |||
[math]\displaystyle{ \triangle }[/math] | End of definition | \triangle
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Δ
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U+2206
|