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\chapter{Mathematics}
In this chapter we will see some examples of mathematics.
Here's an example how to cite.~\cite{alipanahi_predicting_2015}
\lipsum[1]
\section{Very important formulas}
\lipsum[2]
\begin{equation}\label{eqn:rate_eqns}
\frac{\textrm{d}}{\textrm{d}t}\left[
\begin{array}{l}
P_{\textit{0}} \\
P_{\textit{1}} \\
P_{\textit{T}}
\end{array}
\right] =
\left[
\begin{array}{l}
\frac{P_{\textit{1}}}{\tau_{\textit{10}}} + \frac{P_{\textit{T}}}{\tau_{\textit{T}}} - \frac{P_{\textit{0}}}{\tau_{\textit{ex}}} \\
- \frac{P_{\textit{1}}}{\tau_{\textit{10}}} - \frac{P_{\textit{1}}}{\tau_{isc}} + \frac{P_{\textit{0}}}{\tau_{\textit{ex}}} \\
\frac{P_{\textit{1}}}{\tau_{isc}} - \frac{P_{\textit{T}}}{\tau_{\textit{T}}}
\end{array}
\right]
\end{equation}
\lipsum[3]
\begin{equation}\label{eqn:avgfluorescence}
\bar{I_{f}}(\vec{r})
= \gamma(\vec{r}) \left(1 - \frac{\tau_{\textit{T}} P_{\textit{T}}^{{eq}}\left(1-\exp \left(-\frac{(T_p - t_p)}{\tau_{\textit{T}}}\right)\right)}{1-\exp\left(-\frac{(T_p - t_p)}{\tau_{\textit{T}}} + k_{\textit{2}} t_p\right)} \times \frac{\left(\exp\left(k_{\textit{2}} t_p\right)-1\right)}{t_p} \right)
\end{equation}
\lipsum[3]

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