\subsubsection{Spacing}
For spacing in math mode, prefer using the methods described \hlhref{https://www.overleaf.com/learn/latex/Spacing_in_math_mode}{here},
for vertical spacing prefer the commands described below
\begin{itemize}
    \item \verb|\smallhspace| Prints a 2mm hspace
    \item \verb|\mediumhspace| Prints a 5mm hspace
    \item \verb|\largehspace| Prints a 10mm = 1cm hspace
    \item \verb|\rmvspace|[\textit{number}] Removes an amount of vertical space. Should not be used unless can be avoided with general settings. Defaults to 0.5
\end{itemize}

Vertical spacing config for the entire document. By default, the \LaTeX\ defaults are used.
\begin{itemize}
    \item \verb|\noverticalspacing|
    \item \verb|\smallverticalspacing|
    \item \verb|\mediumverticalspacing| (approximately the same as the \LaTeX defaults)
    \item \verb|\largeverticalspacing|
\end{itemize}
You are of course free to redefine commands like \verb|\parskip|, etc to your liking, these commands are just provided for your convenience.
See \hlhref{https://www.overleaf.com/learn/latex/\%5Cabovedisplayskip_and_related_commands}{here}\ for more details
and \hlhref{https://latex-tutorial.com/latex-space/}{here for a good guide on spacing}.

To control paragraph spacing, see \hlhref{https://mirror.ox.ac.uk/sites/ctan.org/macros/latex/contrib/parskip/parskip.pdf}{here}\ 
and \hlhref{https://www.overleaf.com/learn/latex/Articles/How_to_change_paragraph_spacing_in_LaTeX}{here}.
Do make sure to put the \texttt{usepackage} \textit{before} loading the helpers.
Alternatively, you can use \verb|\PassOptionsToPackage{options}{package}|

To make use of \TeX's automatic wrapping of short alignment environments, use the \texttt{aligned}
(or, if no alignment is needed, use the normal \verb|\[ <math> \]|) instead of the \texttt{align} environment for short equations.

\newpage
Below a demonstration on the effects of the different settings:

\shade{Aquamarine}{No vertical spacing}\noverticalspacing

This is text:
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
This is very long introductory text that exceeds the limit (same applies to long equations)
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
Text following the equation (no paragraph break!)


\shade{Aquamarine}{Small vertical spacing}\smallverticalspacing

This is text:
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
This is very long introductory text that exceeds the limit (same applies to long equations)
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
Text following the equation (no paragraph break!)


\shade{Aquamarine}{Medium vertical spacing}\mediumverticalspacing

This is text:
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
This is very long introductory text that exceeds the limit (same applies to long equations)
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
Text following the equation (no paragraph break!)


\shade{Aquamarine}{Large vertical spacing}\largeverticalspacing

This is text:
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
This is very long introductory text that exceeds the limit (same applies to long equations)
\[
    \int_{0}^{10} 4x^2 + 3x \cdot \frac{3 \ln(10)}{x^3} \dx x
\]
Text following the equation (no paragraph break!)