These are the preferred LaTeX commands on oldgermantrick. Deviation from 
these rules are often required, however, please check the resulting image
for alignment and spacing errors. The general rule is that everything 
rendered should appear aesthetically pleasing. Also check that long math 
equations are not cut-off from the image.

In-line math:
	"$" takes you in and out of math-mode in a paragraph. Examples:
		"Therefore $\theta=\pi/4$."
		"In the $x$ direction, the momentum is zero."
		"The $z$-component is $\cos\theta$."

Numbers:
	Small counting numbers should be spelled out:
		"There are two cylinders"
	If large numbers are required use long spaces instead of commas:
		"1 out of 10\,000\,000 are blue."
	Prefer to use scientific notation in math-mode:
		"$r=\units{1.65\times10^{-15}}{\meter}$

Math section:
	Lines of math should be written as

	\begin{eqnarray*}
	I &=& \int \diff z \frac{1}{\cos z} \\
	  &=& 5
	\end{eqnarray*}

	check to see if any long lines are not cut-off of the page after 
	saving.

List of Problems:
	\begin{problemlist}
		\problem Problem (a) goes here.
		\problem Problem (b) goes here.
		\begin{problemlist}
			\problem This is part (i)
			\problem This is part (ii)
		\end{problemlist}
	\end{problemlist}

Matrix:
	A = \begin{pmatrix}
			1&1&0\\
			2&1&3\\
			1&2&1
		\end{pmatrix} 

	produces a matrix with curved brackets

	    / 1 1 0 \
	A = | 2 1 3 |
	    \ 1 2 1 /

Tensor:
	\Lambda_\mu^\nu = \begin{bmatrix}
		    \gamma      & 0 & 0 & \beta\gamma \\
		    0           & 1 & 0 & 0           \\
		    0           & 0 & 1 & 0           \\
		    \beta\gamma & 0 & 0 & \gamma
	\end{\bmatrix}

	produces a ``tensor'' with rectangular brackets

Units:
	$v=\units{15}{\frac{\meter}{\second}}$

Quotes:
	``Double quote''
	`Single quote'

Dashes: 
	LaTeX supports three levels of dashes. A single "-" is 
	used for hyphenation. A double "--" will produce a longer dash 
	and is usually used to indicate ranges, e.g., 1--2. A triple 
	"---" is used to produce an even longer dash and is used for 
	isolating text, e.g., It was a rainy day---unlike our usual 
	weather---and the picnic was canceled.
		(Source: http://www.noao.edu/noaoprop/help/latex.html)

Fractions: 
	Use $a/b$ for short in-line fractions and \frac{a}{b} for longer 
	fractions. Examples:
		The maximum angle is $\pi/2$, so the integral is
		\begin{eqnarray*}
		I &=& \int_0^{\pi/2} \diff \theta \frac{2}{\cos^2\theta}\text{.}
		\end{eqnarray*}

Subscripts and abbreviations
	Abbreviations of words in math mode must appear within the \text 
	command. Variable symbols remain in math-mode. Examples:
		"The rotational kinetic energy is $T_{\text{rot.}}$"
		"The $x$-component of the angular momentum is $L_x$"

Order of commands

	"r-prime vector" (Note: this is not r-vector prime)
		\vec{r^\prime}

	"x-hat vector" (x-hat is the vector, not x-vector hat)
		\vec{\hat x}

	"r-vector double-dot" (Note: this is not r double-dot vector)
		\ddot{\vec r}

Misc math-mode notation:

	"a greater than or equal to b"
		a \geq b 

	"a much greater than b"
		a \gg b

	"Integral (wrt x) of e to the negative i x from 0 to pi/2"
		\int_0^{\pi/2} \diff{x} \me^{-\mi x}
		
	"Grad of r-vector"
		\grad \vec r

	"A dot B"
		\vec A \cdot \vec B

	"x over y"
		\frac{x}{y}

	"f-double prime"
		f^{\prime\prime}

	"second partial derivative of L wrt x"
		\pderiv[2]{L}{x}

	"A cross B"
		\vec A \times \vec B

	"A sub c"
		A_c

	"A sub ij super kl"
		A_{jk}^{kl}

	"limit as r approaches infinity"
		\lim_{r \to \infty}

	"Sine"
		\sin

	"Inverse Cosine (arc-cosine)"
		\arccos

	"Cosine of theta over three"
		\cos(\theta/3)
	
	"Cosine of theta to the three halves"
		\cos\left(\theta^{3/2}\right)

	"e to the negative t over two tau"
		\me^{-\frac{t}{2\tau}}

	"A=B and B=C implies A=C"
		A=B \and B=C \implies A=C