Symbols:A

The azimuth is usually measured in degrees, $0 \degrees$ to $180 \degrees$ either west or east, depending on whether $X$ lies on the eastern or western hemisphere of the celestial sphere.

The symbol for azimuth (in the context of astronomy) is $A$.

The $\LaTeX$ code for $A$ is A .

Ampere

$\mathrm A$

The ampere is the SI base unit of electric current.

It is defined as being:

The constant current which will produce a force of attraction whose value is $2 \times 10^{–7}$ newtons per metre of length between two straight, parallel conductors of infinite length and of infinitesimal circular cross-section placed one metre apart in a vacuum.

The symbol for the ampere is $\mathrm A$.

Its $\LaTeX$ code is \mathrm A .

Angstrom

$\mathring {\mathrm A}$

The angstrom is a metric unit of length.

$\ds $

$\ds 1$

angstrom

$\ds $

$=$

$\ds 10^{-1}$

nanometres

$\ds $

$=$

$\ds 10^{-4}$

micrometres

$\ds $

$=$

$\ds 10^{-7}$

millimetres

$\ds $

$=$

$\ds 10^{-8}$

centimetres

$\ds $

$=$

$\ds 10^{-10}$

metres

The symbol for the angstrom is $\mathring {\mathrm A}$.

The $\LaTeX$ code for $\mathring {\mathrm A}$ is \mathring {\mathrm A} .

Alternating Group

$A_n$

Let $S_n$ denote the symmetric group on $n$ letters.

For any $\pi \in S_n$, let $\map \sgn \pi$ be the sign of $\pi$.

The kernel of the mapping $\sgn: S_n \to C_2$ is called the alternating group on $n$ letters and denoted $A_n$.

The $\LaTeX$ code for $A_n$ is A_n .

Airy Function of the First Kind

$\map \Ai x$

An Airy function of the first kind is an Airy function which is of the form:

$\ds \map {\Ai} x = \dfrac 1 \pi \int_0^\infty \map \cos {\dfrac {t^3} 3 + x t} \rd t$

The $\LaTeX$ code for $\map \Ai x$ is \map \Ai x .

Automorphism Group

$\Aut S$

Let $\struct {S, *}$ be an algebraic structure.

Let $\mathbb S$ be the set of automorphisms of $S$.

Then the algebraic structure $\struct {\mathbb S, \circ}$, where $\circ$ denotes composition of mappings, is called the automorphism group of $S$.

The structure $\struct {S, *}$ is usually a group. However, this is not necessary for this definition to be valid.

The automorphism group of an algebraic structure $S$ is denoted on $\mathsf{Pr} \infty \mathsf{fWiki}$ as $\Aut S$.

The $\LaTeX$ code for $\Aut S$ is \Aut S .

arc-

Symbols:A/arc-

Arccosine

arccos

$\arccos$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the arccosine function is $\arccos$.

The $\LaTeX$ code for $\arccos$ is \arccos .

acos

$\operatorname {acos}$

A variant symbol used to denote the arccosine function is $\operatorname {acos}$.

The $\LaTeX$ code for $\operatorname {acos}$ is \operatorname {acos} .

Arccosecant

arccsc

$\arccsc$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the arccosecant function is $\arccsc$.

The $\LaTeX$ code for $\arccsc$ is \arccsc .

arccosec

$\operatorname {arccosec}$

A variant symbol used to denote the arccosecant function is $\operatorname {arccosec}$.

The $\LaTeX$ code for $\operatorname {arccosec}$ is \operatorname {arccosec} .

acosec

$\operatorname {acosec}$

A variant symbol used to denote the arccosecant function is $\operatorname {acosec}$.

The $\LaTeX$ code for $\operatorname {acosec}$ is \operatorname {acosec} .

acsc

$\operatorname {acsc}$

A variant symbol used to denote the arccosecant function is $\operatorname {acsc}$.

The $\LaTeX$ code for $\operatorname {acsc}$ is \operatorname {acsc} .

Arccotangent

arccot

$\arccot$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the arccotangent function is $\arccot$.

The $\LaTeX$ code for $\arccot$ is \arccot .

acot

$\operatorname {acot}$

A variant symbol used to denote the arccotangent function is $\operatorname {acot}$.

Its $\LaTeX$ code is \operatorname {acot} .

actn

$\operatorname {actn}$

A variant symbol used to denote the arccotangent function is $\operatorname {actn}$.

Its $\LaTeX$ code is \operatorname {actn} .

Area Hyperbolic Cosine

arcosh

$\arcosh$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic cosine function is $\arcosh$.

The $\LaTeX$ code for $\arcosh$ is \arcosh .

acosh

$\operatorname {acosh}$

A variant symbol used to denote the area hyperbolic cosine function is $\operatorname {acosh}$.

Its $\LaTeX$ code is \operatorname {acosh} .

Area Hyperbolic Cosecant

arcsch

$\arcsch$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic cosecant function is $\arcsch$.

The $\LaTeX$ code for $\arcsch$ is \arcsch .

acsch

$\operatorname {acsch}$

A variant symbol used to denote the area hyperbolic cosecant function is $\operatorname {acsch}$.

The $\LaTeX$ code for $\operatorname {acsch}$ is \operatorname {acsch} .

acosech

$\operatorname {acosech}$

A variant symbol used to denote the area hyperbolic cosecant function is $\operatorname {acosech}$.

The $\LaTeX$ code for $\operatorname {acosech}$ is \operatorname {acosech} .

Area Hyperbolic Cotangent

arcoth

$\arcoth$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic cotangent function is $\arcoth$.

The $\LaTeX$ code for $\arcoth$ is \arcoth .

acoth

$\operatorname {acoth}$

A variant symbol used to denote the area hyperbolic cotangent function is $\operatorname {acoth}$.

The $\LaTeX$ code for $\operatorname {acoth}$ is \operatorname {acoth} .

actnh

$\operatorname {actnh}$

A variant symbol used to denote the area hyperbolic cotangent function is $\operatorname {actnh}$.

The $\LaTeX$ code for $\operatorname {actnh}$ is \operatorname {actnh} .

adj

$\adj {\mathbf A}$

Let $\mathbf A = \sqbrk a_n$ be a square matrix of order $n$.

Let $\mathbf C$ be its cofactor matrix.

The adjugate matrix of $\mathbf A$ is the transpose of $\mathbf C$:

$\adj {\mathbf A} = \mathbf C^\intercal$

The $\LaTeX$ code for $\adj {\mathbf A}$ is \adj {\mathbf A} .

aln

$\operatorname {aln}$

The antilogarithm of the natural logarithm.

Its $\LaTeX$ code is \operatorname {aln} .

alog

$\operatorname {alog}_b$

Let $x \in \R_{>0}$ be a strictly positive real number.

Let $b \in \R_{>1}$ be a real number which is greater than $1$.

Let $y = \log_b x$ be the logarithm of $x$ base $b$.

Then $x$ is the antilogarithm of $y$ base $b$.

The $\LaTeX$ code for $\operatorname {alog}_b$ is \operatorname {alog}_b .

Amplitude of Incomplete Elliptic Integral of the First Kind

am

$\am$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the amplitude of the incomplete elliptic integral of the first kind is $\am$.

The $\LaTeX$ code for $\am$ is \am .

amp

$\operatorname {amp} $

A variant symbol used to denote the amplitude of the incomplete elliptic integral of the first kind is $\operatorname {amp}$.

The $\LaTeX$ code for $\operatorname {amp}$ is \operatorname {amp} .

Ann

$\operatorname {Ann}$

Let $B: R \times \Z$ be a bilinear mapping defined as:

$B: R \times \Z: \tuple {r, n} \mapsto n \cdot r$

where $n \cdot r$ defined as an integral multiple of $r$:

$n \cdot r = r + r + \cdots \paren n \cdots r$

Note the change of order of $r$ and $n$:

$\map B {r, n} = n \cdot r$

Let $D \subseteq R$ be a subring of $R$.

Then the annihilator of $D$ is defined as:

$\map {\mathrm {Ann} } D = \set {n \in \Z: \forall d \in D: n \cdot d = 0_R}$

or, when $D = R$:

$\map {\mathrm {Ann} } R = \set {n \in \Z: \forall r \in R: n \cdot r = 0_R}$

Its $\LaTeX$ code is \operatorname {Ann} .

arg

$\arg$

The argument of a complex number.

Its $\LaTeX$ code is \arg .

Arg

$\operatorname {Arg}$

The principal argument of a complex number.

Its $\LaTeX$ code is \Arg .

Arcsine

arcsin

$\arcsin$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the arcsine function is $\arcsin$.

The $\LaTeX$ code for $\arcsin$ is \arcsin .

asin

$\operatorname {asin}$

A variant symbol used to denote the arcsine function is $\operatorname {asin}$.

The $\LaTeX$ code for $\operatorname {asin}$ is \operatorname {asin} .

Arcsecant

arcsec

$\arcsec$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the arcsecant function is $\arcsec$.

The $\LaTeX$ code for $\arcsec$ is \arcsec .

asec

$\operatorname {asec}$

A variant symbol used to denote the arcsecant function is $\operatorname {asec}$.

The $\LaTeX$ code for $\operatorname {asec}$ is \operatorname {asec} .

Arctangent

arctan

$\arctan$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the arctangent function is $\arctan$.

The $\LaTeX$ code for $\arctan$ is \arctan .

atan

$\operatorname {atan}$

A variant symbol used to denote the arctangent function is $\operatorname {atan}$.

The $\LaTeX$ code for $\operatorname {atan}$ is \operatorname {atan} .

atn

$\operatorname {atn}$

A variant symbol used to denote the arctangent function is $\operatorname {atn}$.

The $\LaTeX$ code for $\operatorname {atn}$ is \operatorname {atn} .

Area Hyperbolic Sine

arsinh

$\arsinh$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic sine function is $\arsinh$.

The $\LaTeX$ code for $\arsinh$ is \arsinh .

asinh

$\operatorname {asinh}$

A variant symbol used to denote the area hyperbolic sine function is $\operatorname {asinh}$.

The $\LaTeX$ code for $\operatorname {asinh}$ is \operatorname {asinh} .

Area Hyperbolic Secant

arsech

$\arsech$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic secant function is $\arsech$.

The $\LaTeX$ code for $\arsech$ is \arsech .

asech

$\operatorname {asech}$

A variant symbol used to denote the area hyperbolic secant function is $\operatorname {asech}$.

The $\LaTeX$ code for $\operatorname {asech}$ is \operatorname {asech} .

Area Hyperbolic Tangent

artanh

$\artanh$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic tangent function is $\artanh$.

The $\LaTeX$ code for $\artanh$ is \artanh .

atanh

$\operatorname {atanh}$

A variant symbol used to denote the area hyperbolic tangent function is $\operatorname {atanh}$.

The $\LaTeX$ code for $\operatorname {atanh}$ is \operatorname {atanh} .

Standard Atmosphere

atm

$\mathrm {atm}$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the standard atmosphere is $\mathrm {atm}$.

The $\LaTeX$ code for $\mathrm {atm}$ is \mathrm {atm} .

Int atm

$\mathrm {Int \, atm}$

A variant symbol used to denote the standard atmosphere is $\mathrm {Int \, atm}$.

This reflects its variant name of international atmosphere.

The $\LaTeX$ code for $\mathrm {Int \, atm}$ is \mathrm {Int \, atm} .

Abampere

$\mathrm {abA}$

The symbol for the abampere is $\mathrm {abA}$.

Its $\LaTeX$ code is \mathrm {abA} .

Abcoulomb

$\mathrm {abC}$

The symbol for the abcoulomb is $\mathrm {abC}$.

Its $\LaTeX$ code is \mathrm {abC} .

Abvolt

$\mathrm {abV}$

The symbol for the abvolt is $\mathrm {abV}$.

Its $\LaTeX$ code is \mathrm {abV} .

Abohm

$\mathrm {ab \Omega}$

The symbol for the abohm is $\mathrm {ab \Omega}$, where $\Omega$ is the Greek letter Omega.

Its $\LaTeX$ code is \mathrm {ab \Omega} .

Abhenry

$\mathrm {abH}$

The symbol for the abhenry is $\mathrm {abH}$.

Its $\LaTeX$ code is \mathrm {abH} .

Abfarad

$\mathrm {abF}$

The symbol for the abfarad is $\mathrm {abF}$.

Its $\LaTeX$ code is \mathrm {abF} .

Atomic Mass Unit

$\mathrm {amu}$ or $\mathrm {AMU}$

The symbol for the atomic mass unit is $\mathrm {amu}$ or $\mathrm {AMU}$.

The $\LaTeX$ code for $\mathrm {amu}$ is \mathrm {amu} .

The $\LaTeX$ code for $\mathrm {AMU}$ is \mathrm {AMU} .

Bohr Radius

$a_0$

The symbol for the Bohr radius is $a_0$.

The $\LaTeX$ code for $a_0$ is a_0 .

Astronomical Unit

$\mathrm {AU}$ or $\mathrm {au}$

The symbol for the astronomical unit is $\mathrm {AU}$ or $\mathrm {au}$.

The $\LaTeX$ code for $\mathrm {AU}$ is \mathrm {AU} .

The $\LaTeX$ code for $\mathrm {au}$ is \mathrm {au} .

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Symbols:A

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