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