\chapter{WRITING MATHEMATICAL EQUATIONS}
\graphicspath{{Chapter3/Chapter3_Figures/}}


Many a time we are required to write mathematical equations in the document we are creating. There are many ways to write equations: 

\begin{enumerate}
\item \$ \hspace{2cm}formula\hspace{2cm} \$
\item $\backslash$( \hspace{2cm}formula\hspace{2cm} $\backslash$)
\item $\backslash$begin\{math\} \hspace{2cm}formula\hspace{2cm} $\backslash$end\{math\}
\item $\backslash$begin\{equation\} \hspace{2cm}formula\hspace{2cm} $\backslash$end\{equation\}
\end{enumerate}

It is to be noted that mathematical symbols are printed differently in display and text styles. Given below are a few examples of writing mathematical equations. 

\section{Mathematical equations}

\begin{enumerate}
%
\item Equation 1

\begin{equation}
\sigma_{1} = \sigma_{2} = \|x_{1}-x_{2}\|
\end{equation}

%
\item Equation 2
%
 \begin{equation}
O^{\mu}_{i}=\sum_{j=1}^{jmax}W_{ij}V^{\mu}_{j}
\end{equation}
where
\begin{equation}
V^{\mu}_{j}=
exp\Big(\frac{-\|{\hat{x_{j}}-\xi^{\mu}_{k}\|}^{2}}{\sigma_{j}^2}\Big)
\end{equation}
%
\item Equation 3

\begin{equation}
\varepsilon_2= \varepsilon_1^{2} \times \varepsilon_1^{2}
\end{equation}
%
\end{enumerate}

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