Inline with underscores: \(x_i + y_j = z_{max}\) and asterisks: \(a*b*c\).
Inline with common notation: quorum is \(\lceil (n+1)/2 \rceil\), latency is \(O(\log n)\), and \(\sum_{i=1}^{n} x_i\).
Display block:
\[ f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}} \]
Display with alignment-heavy content:
\[ \mathcal{L}(\theta) = \mathbb{E}_{x \sim p(x)} \left[ \| x - g_\theta(f_\theta(x)) \|^2 \right] \]
Bracket delimiters also work: \(a^2 + b^2 = c^2\) inline, and
\[ \int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi} \]
Money that must NOT become math: it costs $5 and $10 total.
Code must stay untouched: echo $HOME and:
export PATH=$PATH:$HOME/bin