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$\mathrm k$

The Système Internationale d'Unités symbol for the metric scaling prefix kilo, denoting $10^{\, 3 }$, is $\mathrm { k }$.

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



Frequently used, in conjunction with $H$, to represent a general subgroup of a given group $G$ when two such subgroups need to be discussed.



One of the letters used as a variable denoting a general field.

Field as Algebraic Structure

$\struct {K, +, \circ}$

The full specification for a field, where $+$ and $\circ$ are respectively the addition and product operations.

The $\LaTeX$ code for \(\struct {K, +, \circ}\) is \struct {K, +, \circ} .


$\mathrm K$

The symbol for the kelvin is $\mathrm K$.

Note that, unlike the symbols for other temperature scales, there is no degree symbol used here: ${}^\circ \mathrm K$ is technically incorrect.

Its $\LaTeX$ code is \mathrm K .



Often used to denote the kernel of a general homomorphism.

Unit Vector

$\mathbf k$

A unit vector, usually in the direction of the $z$-axis.

Hence it is usually aligned so as to be parallel to the vertical direction in a given frame of reference.


$\mathrm {km}$

The symbol for the kilometre is $\mathrm {km}$:

$\mathrm k$ for kilo
$\mathrm m$ for metre.

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


$\mathrm {kg}$

The symbol for the kilogram is $\mathrm {kg}$.

The $\LaTeX$ code for \(\mathrm {kg}\) is \mathrm {kg} .

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