# Symbols:G

## Contents

## giga-

- $\mathrm G$

The Système Internationale d'Unités metric scaling prefix denoting $10^{\, 9 }$.

Its $\LaTeX$ code is `\mathrm {G}`

.

## Group

- $G$

Used to denote a general group.

In this context, frequently seen in the compound symbol $\struct {G, \circ}$ where $\circ$ represents an arbitrary binary operation.

The $\LaTeX$ code for \(\struct {G, \circ}\) is `\struct {G, \circ}`

.

## Function

- $\map g x$

The letter $g$, along with $f$ and $h$, is frequently used to denote a general mapping or function.

The $\LaTeX$ code for \(\map {g} {x}\) is `\map {g} {x}`

.

## Geometric Distribution

- $X \sim \Geometric p$

$X$ has the geometric distribution with parameter $p$.

The $\LaTeX$ code for \(X \sim \Geometric {p}\) is `X \sim \Geometric {p}`

.

## Shifted Geometric Distribution

- $X \sim \ShiftedGeometric p$

$X$ has the shifted geometric distribution with parameter $p$.

The $\LaTeX$ code for \(X \sim \ShiftedGeometric {p}\) is `X \sim \ShiftedGeometric {p}`

.

## Generating Function

- $\map {G_A} z$

Let $A = \left \langle {a_n}\right \rangle$ be a sequence in $\R$.

Then $\displaystyle G_A \left({z}\right) = \sum_{n \mathop \ge 0} a_n z^n$ is called the **generating function** for the sequence $A$.

The $\LaTeX$ code for \(\map {G_A} z\) is `\map {G_A} z`

.

## Acceleration Due to Gravity at the Earth's Surface

- $g$

The force exerted on a body at (or near) the surface of the Earth under the influence of the gravitational field given rise to by the Earth.

### Sources

- 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**g**