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{\bf Sample \LaTeX Commands}
\end{center}

Here are some sample \LaTeX commands. Look at the file sample.pdf to see what the output looks like.

Here's an example of inline math output: $y=\sin(x).$

Here's an example of output on a separate numbered line:
\begin{equation}
y=\sin(x)
\end{equation}

Greek letters: $\alpha \beta \gamma \Gamma \delta \Delta$

Subscripts and superscripts: $x_1$ $A_{i,j}$ $x^2$ $x^{2+\epsilon}$ $A_{i,j}^2$

Large parentheses and brackets on a separate line with no equation number:
\[
\left[\left(x^2\right)^3\right]^4 = x^{24}
\]

Primes and integral signs:
\[
\int_a^b f^\prime(x)\ dx = f(b)-f(a)
\]

Fractions and square roots:
\[
\sqrt{\frac{1}{a+b}} \neq \frac{1}{\sqrt{a}}+\frac{1}{\sqrt{b}}
\]


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