Loree LaTex Cheat Sheet
Basics Symbols |
||
Description |
Command |
Output |
|
Addition |
+ |
+ |
|
Subtraction |
- |
- |
|
Plus or minus |
\pm |
± |
|
Multiplication (times) |
\times |
× |
|
Multiplication (dot) |
\cdot |
· |
|
division symbol |
\div |
÷ |
|
division (slash) |
/ |
/ |
|
circle plus |
\oplus |
⊕ |
|
circle times |
\otimes |
⊗ |
|
equal |
= |
= |
|
not equal |
\ne |
|
|
less than |
< |
< |
|
greater than |
> |
> |
|
less than or equal to |
\le |
≤ |
|
greater than or equal to |
\ge |
≥ |
|
approximately equal to |
\approx |
≈ |
|
infinity |
\infty |
∞ |
|
dots |
1,2,3, \ldots |
1, 2, 3, . . . |
|
dots |
1+2+3+\cdots |
1 + 2 + 3 + · · · |
|
fraction |
\frac{a}{b} |
|
|
square root |
\sqrt{x} |
|
|
nth root |
\sqrt[n]{x} |
|
|
exponentiation |
a^b |
|
|
subscript |
a_b |
|
|
absolute value |
|x| |
|
|
natural log |
\ln(x) |
|
|
logarithms |
\log_{a}b |
|
|
exponential function |
e^x=\exp(x) |
|
|
degree |
\deg(f) |
deg(f) |
Logic |
||
Description |
Command |
Output |
|
not |
\neg |
~ |
|
and |
\land |
∧ |
|
or |
\lor |
∨ |
|
if...then |
\implies |
→ |
|
if and only if |
\iff |
↔ |
|
logical equivalence |
\equiv |
≡ |
|
therefore |
\therefore |
∴ |
|
there exists |
\exists |
∃ |
|
for all |
\forall |
∀ |
Functions |
||
Description |
Command |
Output |
|
maps to |
\to |
→ |
|
composition |
\circ |
◦ |
|
Piecewise function |
|x|= \begin{cases} |
|
Number theory |
||
Description |
Command |
Output |
|
divides |
| |
| |
|
does not divide |
\ndv |
|
|
div |
\dv |
div |
|
mod |
\mod |
mod |
|
greatest common divisor |
\gcd |
gcd |
|
ceiling |
\lceil x \rceil |
⌈x⌉ |
|
floor |
\lfloor x \rfloor |
⌊x⌋ |
Geometry and trigonometry |
||
Description |
Command |
Output |
|
angle |
\angle ABC |
|
|
degree |
90^{\circ} |
|
|
triangle |
\triangle ABC |
|
|
segment |
\overline{AB} |
|
|
sine |
\sin |
sin |
|
cosine |
\cos |
cos |
|
tangent |
\tan |
tan |
|
cotangent |
\cot |
cot |
|
secant |
\sec |
sec |
|
cosecant |
\csc |
csc |
|
inverse sine |
\arcsin |
arcsin |
|
inverse cosine |
\arccos |
arccos |
|
inverse tangent |
\arctan |
arctan |
Calculus |
||
Description |
Command |
Output |
|
partial derivative |
\frac{\partial y} {\partial x} |
|
|
derivative |
\f’ |
|
|
integral |
\int |
|
|
double integral |
\iint |
|
|
triple integral |
\iiint |
|
|
limits |
\lim_{x\to \infty} |
|
|
summation |
\sum_{n=1}^{\infty}a_n |
|
|
product |
\prod_{n=1}^{\infty}a_n |
|
Symbols |
||
Description |
Command |
Output |
|
dollar sign |
\$ |
$ |
|
percent |
\% |
% |
|
ampersand |
\& |
& |
|
pound |
\# |
|
|
backslash |
\textbackslash |
\ |
|
left quote marks |
‘‘ |
|
|
right quote marks |
’’ |
|
|
single left quote |
‘ |
|
|
single right quote |
’ |
|
hyphen |
X-ray |
|
|
en-dash |
pp. 5--15 |
|
|
em-dash |
Yes---or no? |
|
Set theory |
||
Description |
Command |
Output |
|
set brackets |
\ {1,2,3\} |
{1,2,3} |
|
element of |
\in |
|
|
not an element of |
\not\in |
|
|
subset of |
\subset |
 |
|
subset of |
\subseteq |
 |
|
not a subset of |
\not\subset |
|
|
contains |
\supset |
|
|
contains |
\supseteq |
|
|
union |
\cup |
|
|
intersection |
\cap |
|
|
big union |
\bigcup_{n=1}^{10}A_n |
|
|
big intersection |
\bigcap_{n=1}^{10}A_n |
|
|
empty set |
\emptyset |
∅ |
|
power set |
\mathcal{P} |
P |
|
minimum |
\min |
min |
|
maximum |
\max |
max |
|
supremum |
\sup |
sup |
|
infimum |
\inf |
inf |
|
limit superior |
\limsup |
lim sup |
|
limit inferior |
\liminf |
lim inf |
|
closure |
\overline{A} A |
Ā |
Linear Algebra |
||
Description |
Command |
Output |
|
vector |
\vec{v} |
|
|
norm |
||\vec{v}|| |
|
|
matrix |
\left[ \begin{array}{ccc} 1 & 2 & 3 \\ 4 & 5 & 6\\ 7 & 8 & 0 \end{array} \right] |
|
|
determinant |
\left| \begin{array}{ccc} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 0 \end{array} \right| |
|
|
determinant |
\det(A) |
det(A) |
|
trace |
\operatorname{tr}(A) |
tr(A) |
|
dimension |
\dim(V) |
dim(V ) |
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