# Symbols:F

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### femto-

$\mathrm f$

The Système Internationale d'Unités symbol for the metric scaling prefix femto, denoting $10^{\, -15 }$, is $\mathrm { f }$.

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

$\mathrm F$ or $\mathrm f$

The hexadecimal digit $15$.

Its $\LaTeX$ code is \mathrm F  or \mathrm f.

### Function

$\map f x$

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

The $\LaTeX$ code for $\map f x$ is \map f x .

### Force

$f$

The usual symbol used to denote the force on a body is $f$.

Its $\LaTeX$ code is f .

### Primitive

$\map F x$

Given a real function $f$, the primitive of $f$ is often denoted $F$:

$\map F x = \ds \int \map f x \rd x$

The $\LaTeX$ code for $\map F x$ is \map F x .

### Predicate

$F a$

Frequently used to denote a general unspecified predicate in the context of predicate logic, for example:

$F a$ represents:
$a$ has property $F$

The $\LaTeX$ code for $F a$ is F a .

### False

$\F$

Symbol generally used for falsehood.

A statement has a truth value of false if and only if what it says does not match the way that things are.

The $\LaTeX$ code for $\F$ is \F .

$\mathrm F$

The symbol for the farad is $\mathrm F$.

Its $\LaTeX$ code is \mathrm F .

$\mathrm F$

The symbol for the Faraday is $\mathrm F$.

Its $\LaTeX$ code is \mathrm F .

### Galois Field

$\map \GF p$

Used to denote a Galois field of $p$ elements.

The $\LaTeX$ code for $\map \GF p$ is \map \GF p .

### Incomplete Elliptic Integral of the First Kind

$\map F {k, \phi}$

$\ds \map F {k, \phi} = \int \limits_0^\phi \frac {\d \phi} {\sqrt {1 - k^2 \sin^2 \phi} }$

is the incomplete elliptic integral of the first kind, and is a function of the variables:

$k$, defined on the interval $0 < k < 1$
$\phi$, defined on the interval $0 \le \phi \le \pi / 2$.

The $\LaTeX$ code for $\map F {k, \phi}$ is \map F {k, \phi} .

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