# Symbols:G

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### giga-

$\mathrm G$

The Système Internationale d'Unités symbol for the metric scaling prefix giga, denoting $10^{\, 9 }$, is $\mathrm { G }$.

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} .

### Gram

$\mathrm g$

The symbol for the gram is $\mathrm g$.

The $\LaTeX$ code for $\mathrm g$ is \mathrm g .

### Acceleration Due to Gravity at 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.

### 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 $A = \sequence {a_n}$ be a sequence in $\R$.

Then $\ds \map {G_A} z = \sum_{n \mathop \ge 0} a_n z^n$ is called the generating function for the sequence $A$.

The $\LaTeX$ code for $\map {G_A} z$ is \map {G_A} z .

### gcd

$\gcd$

Used to denote the greatest common divisor of a pair of numbers.

For example:

$\gcd \set {6, 10} = 2$

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

### glb

$\map {\mathrm {glb} } T$ or $\map {\mathrm {g.l.b.} } T$

Used to denote the greatest lower bound of a subset $T$ of an ordered structure $\struct {S, \preceq}$.

The same as $\map \inf T$, that is, infimum.

The $\LaTeX$ code for $\map {\mathrm {glb} } T$ is \map {\mathrm {glb} } T .

The $\LaTeX$ code for $\map {\mathrm {g.l.b.} } T$ is \map {\mathrm {g.l.b.} } T .

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