phdthesis/mathematics.tex at master · remusmp/phdthesis · GitHub

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\chapter{Mathematics}
\section{Equations}\label{sec:mathematics:equations}

Inline equation (text and math): $E=mc^2$

Equation without a number:
$$E = mc^2$$

Numbered equation:
\begin{equation} \label{eq:euler}
	E = mc^2
\end{equation}


How to split an equation on multiple lines:
\begin{equation} \label{eq:split}
	\begin{split}
		A & = \frac{\pi r^2}{2} \\
		& = \frac{1}{2} \pi r^2
	\end{split}
\end{equation}

\section{Subequations}
\begin{subequations}
	\begin{align}
		f(x)  &= a x^2+b x +c\\
		f'(x) &= 2 a x +b
	\end{align}
\end{subequations}

\section{Matrices}\label{sec:mathematics:matrices}
\begin{equation}
	\begin{bmatrix}
		x_{11} & x_{12} & x_{13} & \dots  & x_{1n} \\
		x_{21} & x_{22} & x_{23} & \dots  & x_{2n} \\
		\vdots & \vdots & \vdots & \ddots & \vdots \\
		x_{d1} & x_{d2} & x_{d3} & \dots  & x_{dn}
	\end{bmatrix}
\end{equation}


\section{Cases}
\begin{equation}
	f(n) =
	\begin{cases}
		n/2 & \quad \text{if } n \text{ is even}\\
		-(n+1)/2 & \quad \text{if } n \text{ is odd}\\
	\end{cases}
\end{equation}