Basic Math
\(x^2\)
Power
\(x_i\)
Subscript
\(\frac{a}{b}\)
Fraction
\(\sqrt{x}\)
Square Root
\(\sqrt[n]{x}\)
nth Root
\(\pm\)
Plus/Minus
\(\times\)
Times
\(\div\)
Division
\(\ldots\)
Dots
\(\infty\)
Infinity
\(\angle\)
Angle
\(\triangle\)
Triangle
\(\parallel\)
Parallel
\(\perp\)
Perpendicular
\(\circ\)
Circle
\(\prime\)
Prime
\(\cdot\)
Dot
\(\ast\)
Asterisk
\(\star\)
Star
\(\dagger\)
Dagger
\(\ddagger\)
Double Dagger
\(\amalg\)
Amalg
Greek Letters
\(\alpha\)
Alpha
\(\beta\)
Beta
\(\gamma\)
Gamma
\(\delta\)
Delta
\(\epsilon\)
Epsilon
\(\zeta\)
Zeta
\(\eta\)
Eta
\(\theta\)
Theta
\(\lambda\)
Lambda
\(\mu\)
Mu
\(\pi\)
Pi
\(\sigma\)
Sigma
\(\phi\)
Phi
\(\Gamma\)
Gamma (cap)
\(\Delta\)
Delta (cap)
\(\Omega\)
Omega (cap)
Operators & Relations
\(\leq\)
Less Equal
\(\geq\)
Greater Equal
\(\neq\)
Not Equal
\(\approx\)
Approximately
\(\equiv\)
Equivalent
\(\in\)
Element Of
\(\subset\)
Subset
\(\cap\)
Intersection
\(\cup\)
Union
\(\forall\)
For All
\(\exists\)
Exists
\(\to\)
To
Calculus
\(\int_{a}^{b} f(x) \, dx\)
Integral
\(\sum_{i=1}^{n} x_i\)
Sum
\(\prod_{i=1}^{n} x_i\)
Product
\(\lim_{x \to a} f(x)\)
Limit
\(\frac{d}{dx} f(x)\)
Derivative
\(\frac{\partial f}{\partial x}\)
Partial
\(\nabla f\)
Gradient
\(\iint_{D} f(x,y) \, dx \, dy\)
Double Integral
Matrices & Vectors
\(\begin{pmatrix} a & b \\ c & d \end{pmatrix}\)
Matrix (Parentheses)
\(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\)
Matrix (Brackets)
\(\begin{vmatrix} a & b \\ c & d \end{vmatrix}\)
Determinant
\(\vec{v}\)
Vector
\(\hat{x}\)
Unit Vector
\(\begin{cases} f(x) & x > 0 \\ g(x) & x \leq 0 \end{cases}\)
Cases
Geometry
\(\angle\)
Angle
\(\triangle\)
Triangle
\(\square\)
Square
\(\circle\)
Circle
\(\parallel\)
Parallel
\(\perp\)
Perpendicular
\(\cong\)
Congruent
\(\sim\)
Similar
\(\degree\)
Degree
\(\arc\)
Arc
\(\odot\)
Circle (Center)
\(\overline{AB}\)
Line Segment
\(\overrightarrow{AB}\)
Ray
\(\triangle ABC\)
Triangle ABC
\(\angle ABC\)
Angle ABC
Physics
\(\hbar\)
h-bar
\(\ell\)
ell
\(\nabla \times \vec{F}\)
Curl
\(\nabla \cdot \vec{F}\)
Divergence
\(\frac{1}{4\pi\epsilon_0}\)
Coulomb Constant
\(E = mc^2\)
Energy-Mass
\(F = G\frac{m_1 m_2}{r^2}\)
Gravity Law
Chemistry
\(H_2O\)
Water
\(CO_2\)
Carbon Dioxide
\(CH_3COOH\)
Acetic Acid
\(C_6H_{12}O_6\)
Glucose
\(\rightleftharpoons\)
Equilibrium
\(\longrightarrow\)
Reaction
Common Examples
Equations
\(ax^2 + bx + c = 0\)
ax^2 + bx + c = 0
\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\(f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}\)
f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}
Statistics & Probability
\(\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i\)
\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i
\(\sigma = \sqrt{\frac{1}{n} \sum_{i=1}^{n} (x_i - \mu)^2}\)
\sigma = \sqrt{\frac{1}{n} \sum_{i=1}^{n} (x_i - \mu)^2}
\(P(A|B) = \frac{P(B|A) \cdot P(A)}{P(B)}\)
P(A|B) = \frac{P(B|A) \cdot P(A)}{P(B)}
Physics Equations
\(F = ma\)
F = ma
\(\vec{E} = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2} \hat{r}\)
\vec{E} = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2} \hat{r}
\(PV = nRT\)
PV = nRT
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