\section{Math} \subsection{Equation} This is an equation \begin{equation} % A lonesome ( will have a fixed size % But a \left( will be scaled to contain whatever it has to \langle f, g \rangle_{\left[a, b\right]} = \int_a^b f(x)\overline{g(x)} dx % \\ % The equation env ignores \\ % a^2 + b^2 = c^2 \label{eq:inner_product} % You may label equations for referencing later \end{equation} \subsection{Gather} This is the gather environment \begin{gather*} E = mc^2 \\ E^2 = \frac{ % You mc^2 % May } % Use { % As \sqrt{ % Many 1 % Lines - % As \frac{ % You v^2 % Want } { % Sometimes c^2 % It makes } % Things more } % Structured } % ...though not always... \end{gather*} \subsection{Align} This is an \emph{anonymous} align environment \begin{align*} 24 &= 8 \cdot 3 \\ % Allows aligning glyphs by using & &= 4 \cdot 6 \\ % The glyph marked with & on each line &= 2 \cdot 2 \cdot 2 \cdot 3 % Will be aligned \end{align*} \subsection{Inlined math} % Math can be inlined with \( ..my math.. \) or $..also my math..$ % $_$ is the old TeX way and is not advisable to use % \(_\) is the more modern LaTeX way and is more robust A \(\sum_n^k\) sum! And a $\frac{1}{n}$. % The \[\] is a \displaystyle math environment % There is no real reason to use it over the \begin syntax, but it's there. This env is displayed on its own line and is not a part of the paragraph in the same way $_$ and \(\) are. You can also: \[\alpha\] do this. \subsection{Some symbols} Greek \begin{gather*} \psi,\ \Psi % The "\ " thing forces the insert of a space, otherwise whitespace is ignored \\ \alpha, \beta, \gamma, \delta % Lower case with _small_ letters \\ \Gamma, \Delta % Upper case with _Capital_ letter \\ \epsilon, \varepsilon % Variants with _var_ \end{gather*} Other things % If you want a glyph, but don't know what it's called % Either try something (most glyphs have sensible names) % Or just search it up online, after a while you'll remember \begin{gather*} \nabla, \partial \\ \int, \iint, \oint \\ \sum_{i = 1}^{n}, \prod_{1 \leq i \leq n} \\ \frac{a + ib}{c + id}, i = 1, \dots, n \\ \bar{x}, \vec{x}, x^\circ \end{gather*} Matrices (and vectors) \begin{gather*} \begin{pmatrix} % Parantheses 1 & 2 & 3 \\ % Columns separated with & 4 & 5 & 6 \\ % Rows separated with \\ 7 & 8 & 9 \end{pmatrix} , \begin{bmatrix} % Brackets 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} , \begin{Bmatrix} % _Curly_ brackets 1 & 2 & \\ % You can leave elements empty 4 & \displaystyle\int_0^1x^2 dx & 6 \\ % You can make the elements complicated (and force roomy display with \displaystyle 7 & 8 & 9 \end{Bmatrix} , \begin{pmatrix} % Essentially a vector x_1 \\ x_2 \\ x_3 % Just because \\ causes linebreak, doesn't mean you need a new line in the source \end{pmatrix} \end{gather*} % Defining a new command, don't do it here, do it in the preamble or something similar % newcommand takes a command name, a number of arguments and the "function body" of the command. The arguments to the new command being defined can be accessed by #<number> \newcommand{\myvec}[1]{ \begin{pmatrix} #1 \end{pmatrix} } % Works like a charm \begin{gather*} \myvec{x_1\\x_2\\x_3} \leftarrow \text{My vector command} \end{gather*}