Symbols:S
Second
- $\mathrm s$
The symbol for the second is $\mathrm s$.
Its $\LaTeX$ code is \mathrm s .
Set
- $S$
Used to denote a general set.
The $\LaTeX$ code for \(S\) is S .
Algebraic Structure
- $S$
Used to denote a general algebraic structure, in particular a semigroup.
In this context, frequently seen in the compound symbol $\struct {S, \circ}$ where $\circ$ represents an arbitrary binary operation.
The $\LaTeX$ code for \(\struct {S, \circ}\) is \struct {S, \circ} .
Special Linear Group
- $\SL {n, K}$
- $\SL n$
- $\map {\mathrm {SL}_n} K$
- $\map {SL} {n, K}$
$\SL {n, K}$ is used to denote the special linear group of degree $n$ over the field $K$.
$\SL n$ can be used if the field is implicit.
Some sources use the notation $\map {\mathrm {SL}_n} K$.
Variants of $\mathrm {SL}$ can be seen, for example $\map {SL} {n, K}$ and so on.
The $\LaTeX$ code for \(\SL {n, K}\) is \SL {n, K} .
The $\LaTeX$ code for \(\SL n\) is \SL n .
The $\LaTeX$ code for \(\map {\mathrm {SL}_n} K\) is \map {\mathrm {SL}_n} K .
The $\LaTeX$ code for \(\map {SL} {n, K}\) is \map {SL} {n, K} .
Supremum
- $\sup$
The $\LaTeX$ code for \(\sup\) is \sup .
South
- $\mathrm S$
South is the direction on (or near) Earth's surface along the meridian directly towards the South Pole.
The $\LaTeX$ code for \(\mathrm S\) is \mathrm S .
Southeast
- $\mathrm {SE}$
Southeast is the direction on (or near) Earth's surface halfway between south and east.
The $\LaTeX$ code for \(\mathrm {SE}\) is \mathrm {SE} .
Southwest
- $\mathrm {SW}$
Southwest is the direction on (or near) Earth's surface halfway between south and west.
The $\LaTeX$ code for \(\mathrm {SW}\) is \mathrm {SW} .
Universal Set
- $S$
Used by some sources to denote the universal set.
The $\LaTeX$ code for \(S\) is S .
Set of Permutations
- $S_n$
The set of permutations of $\N_n$ is denoted $S_n$.
The $\LaTeX$ code for \(S_n\) is S_n .
Annuity Amount
- $S_n$
The symbol for an annuity amount accumulated over $n$ conversion periods is $S_n$.
The $\LaTeX$ code for \(S_n\) is S_n .
Symmetric Group
- $\struct {S_n, \circ}$
Let $S_n$ denote the set of permutations on $n$ letters.
Let $\struct {S_n, \circ}$ denote the symmetric group on $S_n$.
Then $\struct {S_n, \circ}$ is referred to as the symmetric group on $n$ letters.
The $\LaTeX$ code for \(\struct {S_n, \circ}\) is \struct {S_n, \circ} .
Signum Function
- $\map \sgn x$
Let $X \subseteq \R$ be a subset of the real numbers.
The signum function $\sgn: X \to \set {-1, 0, 1}$ is defined as:
- $\forall x \in X: \map \sgn x := \sqbrk {x > 0} - \sqbrk {x < 0}$
where $\sqbrk {x > 0}$ etc. denotes Iverson's convention.
That is:
- $\forall x \in X: \map \sgn x := \begin {cases} -1 & : x < 0 \\ 0 & : x = 0 \\ 1 & : x > 0 \end {cases}$
The $\LaTeX$ code for \(\map \sgn x\) is \map \sgn x .
Sine
- $\sin$
The sine function.
The $\LaTeX$ code for \(\sin\) is \sin .
Secant
- $\sec$
The secant function.
The $\LaTeX$ code for \(\sec\) is \sec .
Hyperbolic Sine
- $\sinh$
The hyperbolic sine function.
Its $\LaTeX$ code is \sinh .
Hyperbolic Secant
- $\sech$
The $\LaTeX$ code for \(\sech\) is \sech .
Inverse Sine
- $\sin^{-1}$
The inverse sine operation.
Its $\LaTeX$ code is \sin^{-1} .
Inverse Hyperbolic Sine
sinh${}^{-1}$
- $\sinh^{-1}$
Its $\LaTeX$ code is \sinh^{-1} .
sh${}^{-1}$
- $\operatorname {sh}^{-1}$
A variant of $\sinh^{-1}$.
Its $\LaTeX$ code is \operatorname {sh}^{-1} .
Filtering Function
- $\map {\operatorname {sinc} } x$
The filtering function is the real function $\operatorname {sinc}: \R \to \R$ defined as:
- $\forall x \in \R: \map {\operatorname {sinc} } x := \dfrac {\sin \pi x} {\pi x}$
where $\sin$ denotes the (real) sine function.
The $\LaTeX$ code for \(\map {\operatorname {sinc} } x\) is \map {\operatorname {sinc} } x .
Steradian
- $\mathrm {sr}$
The symbol for the steradian is $\mathrm {sr}$.
The $\LaTeX$ code for \(\mathrm {sr}\) is \mathrm {sr} .
Siemens
- $\mathrm S$
The symbol for the siemens is $\mathrm S$.
The $\LaTeX$ code for \(\mathrm S\) is \mathrm S .
Sievert
- $\mathrm {Sv}$
The symbol for the sievert is $\mathrm {Sv}$.
The $\LaTeX$ code for \(\mathrm {Sv}\) is \mathrm {Sv} .
Stokes
- $\mathrm {St}$
The symbol for the stokes is $\mathrm {St}$.
The $\LaTeX$ code for \(\mathrm {St}\) is \mathrm {St} .
Slug per Foot per Second
- $\mathrm {slug / ft \, s}$
The symbol for the slug per foot per second is $\mathrm {slug / ft \, s}$.
Its $\LaTeX$ code is \mathrm {slug / ft \, s} .
Statampere
- $\mathrm {statA}$
The symbol for the statampere is $\mathrm {statA}$.
Its $\LaTeX$ code is \mathrm {statA} .
Statcoulomb
- $\mathrm {statC}$
The symbol for the statcoulomb is $\mathrm {statC}$.
Its $\LaTeX$ code is \mathrm {statC} .
Statvolt
- $\mathrm {statV}$
The symbol for the statvolt is $\mathrm {statV}$.
Its $\LaTeX$ code is \mathrm {statV} .
Statohm
- $\mathrm {stat \Omega}$
The symbol for the statohm is $\mathrm {stat \Omega}$, where $\Omega$ is the Greek letter Omega.
Its $\LaTeX$ code is \mathrm {stat \Omega} .
Statfarad
- $\mathrm {statF}$
The symbol for the statfarad is $\mathrm {statF}$.
Its $\LaTeX$ code is \mathrm {statF} .