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If you want to use inline MathJax, write the code inside <mjax></mjax> blocks. <mjax> a^2 + b^2 = c^2 </mjax>

Or you can use LaTeX's \begin{align*} or similar tags

\begin{align*} e^x & = 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots \\ & = \sum_{n\geq 0} \frac{x^n}{n!} \end{align*}

\begin{align*} \mathcal{L}_{\text{SM}} = -\frac{1}{4} F_{\mu\nu}^a F^{\mu\nu a} + \bar{\psi}_i \left( i \gamma^\mu D_\mu - m_i \right) \psi_i + \left( D_\mu \phi \right)^\dagger \left( D^\mu \phi \right) - \lambda \left( \phi^\dagger \phi - \frac{v^2}{2} \right)^2 - \sum_{i,j} \left( y_{ij} \bar{\psi}_i \phi \psi_j + \text{h.c.} \right). \end{align*}

You can write display math into bold <MJAX></MJAX> blocks.

Typeset mathematics contained inline (within) with the text of a paragraph needs to take less space than the same math typeset outside the paragraph text as standalone, display-style, material. To see this in practice, let’s explain that the equation <mjax>f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}</mjax> may diverge or converge depending on the value of <mjax>x</mjax>. We can also typeset <mjax>f(x)</mjax> outside the paragraph in display style:

<MJAX>f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}</MJAX>

KaTeX is faster to render then MathJax, you can write inline code like $f(\xi) = \xi^2$ by using $f(\xi) = \xi^2$.

The display math is done using $$f(\zeta)$$.

$$i \hbar \frac{\partial}{\partial t}\Psi(\mathbf{r},t) = \hat H \Psi(\mathbf{r},t)$$

$$ e^x = 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots = \sum_{n \geq 0} \frac{x^n}{n!} $$

$$ \mathcal{L}_{\text{SM}} = -\frac{1}{4} F_{\mu\nu}^a F^{\mu\nu a} + \bar{\psi}_i \left( i \gamma^\mu D_\mu - m_i \right) \psi_i + \left( D_\mu \phi \right)^\dagger \left( D^\mu \phi \right) - \lambda \left( \phi^\dagger \phi - \frac{v^2}{2} \right)^2 - \sum_{i,j} \left( y_{ij} \bar{\psi}_i \phi \psi_j + \text{h.c.} \right). $$

Typeset mathematics contained inline (within) with the text of a paragraph needs to take less space than the same math typeset outside the paragraph text as standalone, display-style, material. To see this in practice, let’s explain that the equation $f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}$ may diverge or converge depending on the value of $x$. We can also typeset $f(x)$ outside the paragraph in display style:

$$f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}$$

LaTeX code with TikZ should be placed inside <tikzjax></tikzjax>

You can add a flash card training set by doing: