# Symbols:K

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## kilo-

$\mathrm k$

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

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

## Subgroup

$K$

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

## Field

$K$

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} .

## Kernel

$K$

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.

## Kilometre

$\mathrm {km}$

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

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

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