Sample L TEX File
David P. Little
October 12, 2024
Abstract
This document represents the output from the le \sample.tex" once compiled using your
favorite LATEXcompiler. This le should serve as a good example of the basic structure of a
\.tex" le as well as many of the most basic commands needed for typesetting documents
involving mathematical symbols and expressions. For more of a description on how each
command works, please consult the links found on our course webpage.
1 Lists
1. First Point (Bold Face)
2. Second Point (Italic)
3. Third Point (Large Font)
(a) First Subpoint (Small Font)
(b) Second Subpoint (Tiny Font)
(c) Third Subpoint (Huge Font)
Bullet Point (Sans Serif)
Circle Point (Small Caps)
2 Equations
2.1 Binomial Theorem
Theorem 1 (Binomial Theorem) For any nonnegative integer n, we have
Xn
(1 + x)n =
n xi
i=0
i
2.2 Taylor Series
The Taylor series expansion for the function ex is given by
X n
ex = 1 + x + x2 + x6 + = xn!
2 3
(1)
n0
1
2.3 Sets
Theorem 2 For any sets A, B and C , we have
(A [ B ) (C A) = A [ (B C )
Proof:
(A [ B ) (C A) = (A [ B ) \ (C A)c
= (A [ B ) \ (C \ Ac )c
= (A [ B ) \ (C c [ A)
= A [ (B \ C c )
= A [ (B C )
2
3 Tables
left justi ed center right justi ed
1 3.14159 5
2.4678 3 1234
3.4678 6.14159 1239
4 A Picture
BBBBBBBBBBBBBBBBBBBB
y y
A
A