Difference between revisions of "List of mathematical symbols"

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The following mathematical [[w:Symbol|<span class="wikipedia">symbols</span>]] are used differetly from [[w:wikipedia|<span class="wikipedia">Wikipedia</span>]]:
+
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"
 
!width="5%"| Symbol
 
!width="5%"| Symbol
 
!width="9%"| Usage
 
!width="9%"| Usage
!width="44%"| Interpretation
+
!width="45%"| Interpretation
!width="16%"| Article
+
!width="15%"| Article
 
!width="10%"| LaTeX
 
!width="10%"| LaTeX
 
!width="8%"| HTML
 
!width="8%"| HTML
 
!width="8%"| Unicode
 
!width="8%"| Unicode
 
|-
 
|-
|style="text-align:center"| <math>\widehat{}</math>
+
|style="text-align:center"| <math>\widetilde{}</math>
|style="text-align:center"| <math>\hat{a}</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>\widehat{}</code>
+
| <code>\widetilde{}</code>
 
|
 
|
| <code>U+0302</code>
+
| <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>
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| <code>U+0060</code>
 
| <code>U+0060</code>
 
|-
 
|-
|style="text-align:center"| <math>c</math>
+
|style="text-align:center"| <math>\widehat{}</math>
|style="text-align:center"| <math>{}^{c} A</math>
+
|style="text-align:center"| <math>\hat{a}</math>
| greatest finite number: intersection of the complex or real set <math>A</math> for <math>{}^{c}\mathbb{C} := [-c, c] + i[-c, c]</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>c</code>
+
| <code>U+002D</code>
| <code>c</code>
+
|-
| <code>U+0063</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} A</math>
 +
| greatest &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 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>&amp;nu;</code>
 +
| <code>U+03BD</code>
 
|-
 
|-
 
|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] + i[-\omega, \omega]</math>
+
| 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>\varsigma</math>
+
|style="text-align:center"| <math>\iota</math>
|style="text-align:center"| <math>\varsigma = \max \mathbb{R}</math>
+
|style="text-align:center"| <math>\iota = \min \mathbb{R}_{>0}</math>
| greatest real number
 
|
 
| <code>\varsigma</code>
 
| <code>&amp;varsigma;</code>
 
| <code>U+03C2</code>
 
|-
 
|style="text-align:center"| d0
 
|style="text-align:center"| d0 <math>= \min \mathbb{R}_{>0}</math>
 
 
| smallest positive real number
 
| smallest positive real number
 
|
 
|
| <code>d0</code>
+
| <code>\iota</code>
| <code>d0</code>
+
| <code>&amp;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")
 
|
 
|
 
| <code>{}_b</code>
 
| <code>{}_b</code>
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|  
 
|  
 
|  
 
|  
|-
 
|style="text-align:center"| <math>\iota</math>
 
|style="text-align:center"| <math>\iota = \pi/2</math>
 
| Quarter of the circumference of the unit circle
 
|
 
| <code>\iota</code>
 
| <code>&amp;iota;</code>
 
| <code>U+03B9</code>
 
 
|-
 
|-
 
|style="text-align:center"| <math>\infty</math>
 
|style="text-align:center"| <math>\infty</math>
|style="text-align:center"| <math>\infty \gg \varsigma^2</math>
+
|style="text-align:center"| <math>\infty \gg \tilde{\iota}^2</math>
| Replacing <math>\pm0</math> by <math>\pm\hat{\infty}</math>
+
| 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 {}^{c}{\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}} + i{\mathbb{M}}_{\mathbb{R}}</math>
+
| 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>&amp;Mopf;</code>
 
| <code>&amp;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>&dot;</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>&ll;</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 A (read as "pre")
+
| 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 A (read as "post")
+
| 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>&amp;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>&amp;uarr;</code>
 +
| <code>U+8593</code>
 
|-
 
|-
 
|style="text-align:center"| <math>\Box</math>
 
|style="text-align:center"| <math>\Box</math>

Latest 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 &nu; 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 &omega; U+03C9
[math]\displaystyle{ \iota }[/math] [math]\displaystyle{ \iota = \min \mathbb{R}_{\gt 0} }[/math] smallest positive real number \iota &iota; 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
[math]\displaystyle{ {}_1 }[/math] [math]\displaystyle{ {}_1 x = x/||x|| }[/math] Unit vector to [math]\displaystyle{ x \ne 0 }[/math] {}_1
[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 &infin; 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} &Mopf; U+1D544
[math]\displaystyle{ {}^{\dot{}} }[/math] [math]\displaystyle{ \dot{A} }[/math] point-symmetric set [math]\displaystyle{ A }[/math] \dot &dot; 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} &ll; 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 U+21B6
[math]\displaystyle{ \curvearrowright }[/math] [math]\displaystyle{ \curvearrowright {a} }[/math] Successor of [math]\displaystyle{ a }[/math] (read as "post") \curvearrowright 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 U+21BE
[math]\displaystyle{ \downarrow }[/math] [math]\displaystyle{ \downarrow {x} }[/math] Differential of [math]\displaystyle{ x }[/math] (read as "down") \downarrow &darr; U+8595
[math]\displaystyle{ \uparrow }[/math] [math]\displaystyle{ \uparrow f(x) }[/math] Integral of [math]\displaystyle{ f(x) }[/math] (read as "up") \uparrow &uarr; U+8593
[math]\displaystyle{ \Box }[/math] End of proof \Box U+25A1
[math]\displaystyle{ \triangle }[/math] End of definition \triangle &Delta; U+2206

See also