XBeta Wiki
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Feel free to test things out by adding to the bottom. This page will be periodically cleaned up so don’t worry about messing anything up.
Tests
Examples
(1)\int_{-\infty}^\infty e^{-x^2} \mathrm{d}x = \frac{\sqrt{\pi}}{2}
\Pr(y \vert x) = \int \Pr(y \vert x, v) p(v \vert x) dv
\vec{\Omega} \cdot \vec{\nabla} \psi + \sigma_t \psi = 0
(2)\hat{\mathbf\beta} = (\mathbf X^T\mathbf X)^{-1} \mathbf X^T\mathbf Y
Cases
(3)r_{a+1} = \begin{cases}
0 & \text{with prob.}\quad \exp(-\theta r_a) \\
\max \lbrace \delta r_a, z \rbrace & \text{with prob.}\quad 1 - \exp(-\theta r_a) \\
\end{cases}
Stretchy Brackets
q_a(z) = \sigma_a^{-1} \exp\left[-\frac{\gamma + z}{\sigma_a}\right]
Underset test
\underset{M \times M}{\Gamma_0} \underset{M \times 1}{y_i}
+ \underset{M \times K}{B_0} \underset{K \times 1}{x_i}
= \underset{M \times 1}{\varepsilon_i}
Astral plane characters
𝔸 ()
Display mode test
Note that all display mode equations must be on separate lines. This does not render: [ y = mx + b ]
But this does:
(4)y = mx + b
Similarly for dollar signs:
y = mx + b
Fraktur and BlackBoard
\varphi : G \to G'; \qquad \ker(\varphi) = \{ g \in G : \varphi (g) = e_{G'} \}
text text text
f(n) =
\begin{cases}
n/2 & \qquad\text{if}\;n\;\text{is even} \\
-(n+1)/2 & \qquad\text{if}\;n\;\text{is odd} \\
\end{cases}
text text text
Theorem
text text text
a\le_A b
text text text
Theorem 1