LaTex

Linear Algebra/Matrixes with LaTeX

Matrices $\begin{matrix} a & b \\ c & d \end{matrix}$ $\begin{matrix} a & b \\ c & d \end{matrix}$ $(\begin{matrix} a & b \\ c & d \end{matrix})$ $(\begin{matrix} a & b \\ c & d \end{matrix})$ $[\begin{matrix} a & b \\ c & d \end{matrix}]$ $[\begin{matrix} a & b \\ c & d \end{matrix}]$ $| \begin{matrix} a & b \\ c & d \end{matrix} |$ $| \begin{matrix} a & b \\ c & d \end{matrix} |$ $‖ \begin{matrix} a & b \\ c & d \end{matrix} ‖$ $‖ \begin{matrix} a & b \\ c & d \end{matrix} ‖$ go back....

Physics Equations with LaTeX Syntax

Motion Equations Velocity Average Velocity $\vec{v} = \frac{Δ \vec{r}}{Δ t}$ $\vec{v} = \frac{Δ \vec{r}}{Δ t}$ $u n i t : \frac{m}{s}$ Instant Velocity $\vec{v} = \frac{d \vec{r}}{d t}$ $\vec{v} = \frac{d \vec{r}}{d t}$ $u n i t : \frac{m}{s}$ Acceleration Average Acceleration $\vec{a} = \frac{Δ \vec{v}}{Δ t}$ $\vec{a} = \frac{Δ \vec{v}}{Δ t}$ Instant Acceleration $\vec{a} = \frac{d \vec{v}}{d t}$ $\vec{a} = \frac{d \vec{v}}{d t}$ $u n i t : \frac{m}{s^{2}}$ Non-Uniform Motion Velocity $v = \frac{d s}{d t}$ $v = \frac{d s}{d t}$ $\int_{s_{i}}^{s_{f}} d s = \int_{t_{i}}^{t_{f}} v d t$ $\int_{s_{i}}^{s_{f}} d s = \int_{t_{i}}^{t_{f}} v d t$ $s_{f} - s_{i} = Δ s = \int_{t_{i}}^{t_{f}} v d t$ $s_{f} - s_{i} = Δ s = \int_{t_{i}}^{t_{f}} v d t$ $s_{f} = s_{i} t \int_{t_{i}}^{t_{f}} v d t$ $s_{f} = s_{i} t \int_{t_{i}}^{t_{f}} v d t$ Acceleration $a = \frac{d v}{d t}$ $a = \frac{d v}{d t}$ $\int_{t_{i}}^{t_{f}} a d t = \int_{v_{i}}^{v_{f}} d v$ $\int_{t_{i}}^{t_{f}} a d t = \int_{v_{i}}^{v_{f}} d v$ $v_{f} - v_{i} = \int_{t_{i}}^{t_{f}} a d t$ $v_{f} - v_{i} = \int_{t_{i}}^{t_{f}} a d t$ $v_{f} = v_{i} + \int_{t_{i}}^{t_{f}} a d t$ $v_{f} = v_{i} + \int_{t_{i}}^{t_{f}} a d t$ Vectors $\vec{A} = \vec{A_{x}} + \vec{A_{y}}$ $\vec{A} = \vec{A_{x}} + \vec{A_{y}}$ Unit Vectors $\hat{i} ∥ x$ $\hat{j} ∥ y$ $\hat{i} ∥ x$ $\hat{j} ∥ y$ $\vec{A_{x}} = A_{x} \hat{i},$ $\vec{A_{y}} = A_{y} \hat{j}$ $\vec{A_{x}} = A_{x} \hat{i},$ $\vec{A_{y}} = A_{y} \hat{j}$ $\vec{A} = A_{x} \hat{i} + A_{y} \hat{j}$ $\vec{A} = A_{x} \vec{i} + A_{y} \vec{j}$ Multiplication Scaler $β \vec{A} = β (A_{x} \hat{i} + A_{y} \hat{j})$ $β \vec{A} = β (A_{x} \hat{i} + A_{y} \hat{j})$ Dot Product $\vec{A} \cdot \vec{B} =$ Cross Product $\vec{A} \times \vec{B} = \vec{C}$ $\vec{A} \times \vec{B} = \vec{C}$ $| \vec{A} \times \vec{B} | = | \vec{A} | | \vec{B} | s i n (α) = | \vec{C} |$ $| \vec{A} \times \vec{B} | = | \vec{A} | | \vec{B} | s i n (α) = | \vec{C} |$ $⊙$ : out of plane $\otimes$ : into plane...

LaTeX with Hugo and PaperMod

Intro I recently set up my personal site using Hugo the static site generator, with deployment to github pages. Most of the proccess was straight-forward and enjoyable. I did run into a few problems when trying to enable support for LaTeX type syntax embedded in my markdown files. I thought I would do a short step-by-step write-up for future reference. Most of this setup is available in the Official Hugo Documentation but there are a few pitfalls and theme specific steps that are not included there....