Math#
Notation#
Use \top(e.g., \(A^\top\)) to represent the transpose of a vector or matrix.
Use \mathbb{1}(\(\mathbb{1}\)) to represent a vector or matrix of ones and explain it in the lecture (e.g., “Let \(\mathbb{1}\) be an \(n \times 1\) vector of ones…”).
Matrices always use square brackets and \begin{bmatrix} ... \end{bmatrix} should be used.
Do not use bold face for either matrices or vectors
Sequences use curly brackets, such as \{ x_t \}_{t=0}^{\infty}
The use of align environments can be done using the \begin{aligned} ... \end{aligned}
when inside a math environment such as $$
Tip
PDF:
Using aligned when inside a math environment (such as $$) is important
for building pdf output
$$
\begin{aligned}
\end{aligned}
$$
This is because the $$ is already a math environment and causes the LaTeX build
to fail when using align due to the issue of multiple math environments.
The LaTeX aligned environment is purpose built for using within math environments.
It is also important to not use \tag in equations for manual equation numbering and instead
make use of the in-built equation numbering such as
$$
x_y = 2
$$ (label)
which can be referenced using the role
and here is the reference to {eq}`label`