Difference between revisions of "List of mathematical symbols"
Borishaase (talk | contribs) m (List of mathematical symbols) |
Borishaase (talk | contribs) (List of mathematical symbols) |
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|style="text-align:center"| <math>A'</math> | |style="text-align:center"| <math>A'</math> | ||
|Complement of the set <math>A</math> | |Complement of the set <math>A</math> | ||
− | |[[w:Complement (set theory)|<span class="wikipedia">Complement | + | | [[w:Complement (set theory)|<span class="wikipedia">Complement</span>]] |
| ' | | ' | ||
| | | | ||
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|style="text-align:center"| <math>a{\upharpoonleft}_n</math> | |style="text-align:center"| <math>a{\upharpoonleft}_n</math> | ||
| <math>n</math>-fold repetition of <math>a</math> in the form <math>(a, ... , a)^T</math> (read as "rep") | | <math>n</math>-fold repetition of <math>a</math> in the form <math>(a, ... , a)^T</math> (read as "rep") | ||
− | | | + | | [[w:Repetition|<span class="wikipedia">Repetition</span>]] |
| <code>\upharpoonleft</code> | | <code>\upharpoonleft</code> | ||
| | | | ||
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|style="text-align:center"| <math>a{\upharpoonright}_n</math> | |style="text-align:center"| <math>a{\upharpoonright}_n</math> | ||
| Projection of <math>(a_1, ... , a_n)^T</math> onto the <math>k</math>-th entry <math>a_k</math> (read as "proj") | | Projection of <math>(a_1, ... , a_n)^T</math> onto the <math>k</math>-th entry <math>a_k</math> (read as "proj") | ||
− | | | + | | [[w:Projection (set theory)|<span class="wikipedia">Projection</span>]] |
| <code>\upharpoonright</code> | | <code>\upharpoonright</code> | ||
| | | | ||
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|style="text-align:center"| <math>\downarrow {x}</math> | |style="text-align:center"| <math>\downarrow {x}</math> | ||
| Differential of <math>x</math> (read as "down") | | Differential of <math>x</math> (read as "down") | ||
− | | | + | | [[w:Differential (mathematics)|<span class="wikipedia">Differential</span>]] |
| <code>\downarrow</code> | | <code>\downarrow</code> | ||
| <code>&darr;</code> | | <code>&darr;</code> | ||
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|style="text-align:center"| <math>\uparrow f(x)</math> | |style="text-align:center"| <math>\uparrow f(x)</math> | ||
| Integral of <math>f(x)</math> (read as "up") | | Integral of <math>f(x)</math> (read as "up") | ||
− | | | + | | [[w:Integral#Terminology_and_notation|<span class="wikipedia">Integral</span>]] |
| <code>\uparrow</code> | | <code>\uparrow</code> | ||
| <code>&uarr;</code> | | <code>&uarr;</code> | ||
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| | | | ||
|End of proof | |End of proof | ||
− | | | + | | [[w:Mathematical_proof#Ending_a_proof|<span class="wikipedia">Proof</span>]] |
| <code>\Box</code> | | <code>\Box</code> | ||
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| | | | ||
|End of definition | |End of definition | ||
− | | | + | | [[w:Definition#In_logic,_mathematics_and_computing|<span class="wikipedia">Definition</span>]] |
| <code>\triangle</code> | | <code>\triangle</code> | ||
| <code>&Delta;</code> | | <code>&Delta;</code> |
Revision as of 08:45, 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") | \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{}
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U+0302
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[math]\displaystyle{ \check{} }[/math] | [math]\displaystyle{ \check{a} }[/math] | Half of [math]\displaystyle{ a }[/math]: [math]\displaystyle{ a/2 }[/math] (read as "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") | \text{-}
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U+002D
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_ | [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{}
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U+005F
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[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
|
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
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[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}
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𝕄
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U+1D544
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[math]\displaystyle{ {}^{\dot{}} }[/math] | [math]\displaystyle{ \dot{A} }[/math] | point-symmetric set [math]\displaystyle{ A }[/math] | \dot
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˙
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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 | ' | U+0027
| |
[math]\displaystyle{ \leftharpoonup }[/math] | [math]\displaystyle{ \overset{\leftharpoonup}{a} }[/math] | Predecessor of [math]\displaystyle{ a }[/math] (read as "pre") | \leftharpoonup
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U+21BC
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[math]\displaystyle{ \rightharpoonup }[/math] | [math]\displaystyle{ \overset{\rightharpoonup}{a} }[/math] | Successor of [math]\displaystyle{ a }[/math] (read as "post") | \rightharpoonup
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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
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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
| |
[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
|
[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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↑
|
U+8593
|
[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
|