Difference between revisions of "List of mathematical symbols"

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(List of mathematical symbols)
(List of mathematical symbols)
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|style="text-align:center"| <math>z = a + \underline{b}</math>
 
|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")
 
| Complex part of <math>z</math>: <math>\underline{1}b</math> with imaginary unit <math>\underline{1}</math> (read as "comp")
|  
+
| [[w:Imaginary_unit#Imaginary_integers_and_imaginary_numbers|<span class="wikipedia">Imaginary unit</span>]]
 
| <code>\underline{}</code>
 
| <code>\underline{}</code>
 
|
 
|
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|style="text-align:center"| <math>{}^{\nu} A</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>
 
| 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>
|
+
| [[w:Finite number|<span class="wikipedia">Finite set</span>]]
 
| <code>\nu</code>
 
| <code>\nu</code>
 
| <code>&amp;nu;</code>
 
| <code>&amp;nu;</code>
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|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] + \underline{1}[-\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>
|
+
| [[w:Transfinite number|<span class="wikipedia">Infinite number</span>]]
 
| <code>\omega</code>
 
| <code>\omega</code>
 
| <code>&amp;omega;</code>
 
| <code>&amp;omega;</code>
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|style="text-align:center"| <math>\iota = \min \mathbb{R}_{>0}</math>
 
|style="text-align:center"| <math>\iota = \min \mathbb{R}_{>0}</math>
 
| smallest positive real number
 
| smallest positive real number
|
+
| [[w:Positive real numbers|<span class="wikipedia">Positive number</span>]]
 
| <code>\iota</code>
 
| <code>\iota</code>
 
| <code>&amp;iota;</code>
 
| <code>&amp;iota;</code>
 
| <code>U+03B9</code>
 
| <code>U+03B9</code>
 +
|-
 +
|style="text-align:center"| <math>{}^n</math>
 +
|style="text-align:center"| <math>{}^n a = a^{(n)}</math>
 +
| <math>n</math>-th derivative of <math>a</math> (read as "n of a")
 +
| [[w:Notation for differentiation|<span class="wikipedia">Derivative</span>]]
 +
| <code>{}^n</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> (read as "b log a")
 
| Logarithm to base <math>b</math> for <math>a \in \mathbb{C} \setminus \mathbb{R}_{\le 0}</math> (read as "b log a")
|
+
| [[w:Logarithm|<span class="wikipedia">Logarithm</span>]]
 
| <code>{}_b</code>
 
| <code>{}_b</code>
 
|  
 
|  

Revision as of 08:56, 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{} 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") 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 set \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] Infinite number \omega &omega; U+03C9
[math]\displaystyle{ \iota }[/math] [math]\displaystyle{ \iota = \min \mathbb{R}_{\gt 0} }[/math] smallest positive real number Positive number \iota &iota; U+03B9
[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
[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
[math]\displaystyle{ {}_1 }[/math] [math]\displaystyle{ {}_1 x = x/||x|| }[/math] Unit vector to [math]\displaystyle{ x \ne 0 }[/math] Unit vector {}_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] Infinite set \mathbb{M} &Mopf; U+1D544
[math]\displaystyle{ {}^{\dot{}} }[/math] [math]\displaystyle{ \dot{A} }[/math] point-symmetric set [math]\displaystyle{ A }[/math] Point symmetry \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] Boundary {}^{\ll} &ll; 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") 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 U+21BE
[math]\displaystyle{ \downarrow }[/math] [math]\displaystyle{ \downarrow {x} }[/math] Differential of [math]\displaystyle{ x }[/math] (read as "down") Differential \downarrow &darr; U+8595
[math]\displaystyle{ \uparrow }[/math] [math]\displaystyle{ \uparrow f(x) }[/math] Integral of [math]\displaystyle{ f(x) }[/math] (read as "up") Integral \uparrow &uarr; U+8593
[math]\displaystyle{ \Box }[/math] End of proof Proof \Box U+25A1
[math]\displaystyle{ \triangle }[/math] End of definition Definition \triangle &Delta; U+2206

See also