Example of Math Rendering

Here’s an example of the math rendering:

Theorem (Mean Value Property). Let $\Omega \subset \R^3$ be a domain, and $u$ is harmonic in $\Omega$ (i.e. $\lap u = 0$ in $\Omega$). Suppose $B$ is a ball of radius $R$ and center $x_0$ that is completely contained in $\Omega$. Then $$ u(x_0) = \frac{1}{4 \pi R^2} \int_{\partial B} u \, dS $$

This was produced by the following code:

**Theorem** *(Mean Value Property).*
Let $\Omega \subset \R^3$ be a domain, and $u$ is harmonic in $\Omega$ (i.e. $\lap u = 0$ in $\Omega$).
Suppose $B$ is a ball of radius $R$ and center $x_0$ that is completely contained in $\Omega$.
Then
$$
  u(x_0) = \frac{1}{4 \pi R^2} \int_{\partial B} u \, dS
$$

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