TeX Frequently Used

Math Mode ($ vs. $$)

Putting text between dollar signs will activate "math mode" where you can format equations and code in TeX.

A single pair of dollar signs (e.g. $y = mx + b$) produces in-line math mode (i.e. insert symbol $\lambda$). This is used to distinguish math from text.

Example:

$_example

By the Lemma from Section 2.3, the difference of any two solutions of the nonhomogeneous equation $L[y]=g(t)$ is a solution of the homogeneous equation $L[y]=0$.

Displays as:

A pair of dollar signs (e.g. $$y = mx + b$$) will bump it to a new line and center it on the assignment page in a more prominent display.

Example:

$$_example

$$ \eqalign {
2x &= 3y \cr
2x^2 &= 3y + 2z \cr
x^3 &= 3x^{@e}
} $$

Displays as:

Notice that:

\eqalign is used for equation alignment for aligning multi-line displays at a single place
Each line is aligned by centering on the ampersand ("&")
A carriage return is inserted after every "\cr"
Only the code between "$$ { . . . } $$" is shown

Commonly Used TeX Markup Tools

All of the following, plus more, can be accessed on the !

Tool Category	Item	TeX Code

Tool Category	Item	TeX Code
Elementary Math Control Sequences	Fraction (overline is for larger equations)	{<numerator>\over <denominator>} \overline{ . . . }
	Square root	\sqrt{<expression>}
	Integral	\int_{lower bound}^{upper bound} {<expression>}
Formatting Alignment and Spacing	Indentation	\indent{ . . . }
	No Indentation	\noindent{ . . . }
	Alignment	\eqalign{ . . . }
	Horizontal Spacing (spacing within text)	\; \enspace
	Vertical Spacing of various sizes	\smallskip \medskip \bigskip
Text Formatting	Bold font	\bf{ . . . }
	Superscript	<variable>^{<subscript expression>}
	Subscript	<variable>_{<subscript expression>}
	Displaying Dollar Sign	$\$

Tips for Using TeX

Incorrect use of curly braces can cause errors, so make sure that for each opening bracket there is a corresponding closing one (and vice versa)
To call variables define in the code field, prepend it with '@'
Example: "@ans1" calls variable ans1
Feel free to Google what you're looking for with TeX as well