Notation

The hoomd-rs documentation uses the following mathematical notation.

General notation:

Symbol	Definition
$`x`$	Scalar.
$`\vec{a}`$	Vector.
$`a`$	Magnitude of the vector $`\vec{a}`$.
$`\hat{a}`$	Unit vector in the direction of $`\vec{a}`$.
$`\mathbf{A}`$	Matrix.
$`\mathbf{b}`$	Quaternion.
$`\vert \mathbf{b} \vert`$	Magnitude of a quaternion.
$`i`$, $`j`$, $`k`$	Indices.
$`i`$	$`\sqrt{-1}`$ in some contexts.
$`\mathrm{function}`$	A mathematical function.
a $`[\mathrm{length}]^2`$	The quantity "a" has dimensions of $`\mathrm{length}^2`$.

Symbol definitions:

Symbol	Definition
$`\vec{v}_{ij}`$	$`\vec{v}_j - \vec{v}_j`$
$`\vec{r}`$	Position.
$`\vec{p}`$	Momentum.
$`\vec{v}`$	Velocity.
$`m`$	Mass.
$`\mathbf{q}`$	Orientation.
$`\vec{L}`$	Angular momentum.
$`\vec{\omega}` $	Angular velocity.
$`I`$	Moment of inertia.
$`q`$	Charge.
$`N`$	Number.
$`L`$	Length.
$`V`$	Volume.
$`P`$	Pressure.
$`\rho`$	Number density.
$`\vec{a}_1`$, $`\vec{a}_2`$, $`\vec{a}_3`$	Box unit cell vectors.
$`\vec{F}`$	Force.
$`\mathbf{W}`$	Virial.
$`\vec{\tau}`$	Torque.
$`U`$	Potential energy.
$`K`$	Kinetic energy.
$`E`$	Total energy.
$`T`$	Temperature.
$`k`$	Boltzmann's constant in some contexts. Typically appears multiplying temperature: $`kT`$.
$`k`$	Spring constant in some contexts.
$`\beta`$	$`\frac{1}{kT}`$
$`t`$	Time.

Development of hoomd-rs is led by the Glotzer Group at the University of Michigan.

Keyboard shortcuts