Algebra Symbols
| Notation |
Meaning |
| \(\sum_{i=1}^{n} x_i\) |
Sum |
| \(\prod_{i=1}^{n} x_i\) |
Product |
Probability and Statistics
| Notation |
Meaning |
| \(P(A)\) |
Probability of A |
| \(P(A \cap B)\) |
A and B (intersection) |
| \(P(A \cup B)\) |
A or B (union) |
| \(P(A \mid B)\) |
Conditional probability |
| \(\mu\) |
Mean (population) |
| \(\bar{x}\) |
Mean (sample) |
| \(\sigma\) |
Standard deviation |
| \(\sigma^2\) |
Variance |
Linear Algebra
Vectors
| Notation |
Meaning |
| \(\vec{v} = \langle 1, 2, 3 \rangle\) |
Vector |
| \(\vec{v} \cdot \vec{w}\) |
Dot product |
| \(\vec{v} \times \vec{w}\) |
Cross product |
| \(|\vec{v}|\) |
Norm / magnitude of vector |
Matrices
| Notation |
Meaning |
| \(A = \begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix}\) |
2x2 matrix |
| \(AB\) |
Matrix multiplication |
| \(A^T\) |
Transpose |
| \(A^{-1}\) |
Inverse matrix |
| \(\det(A)\) |
Determinant |
| \(|A|\) |
Matrix norm |
Greek Alphabet
| Uppercase |
Lowercase |
Name |
| \(A\) |
\(\alpha\) |
Alpha |
| \(B\) |
\(\beta\) |
Beta |
| \(\Gamma\) |
\(\gamma\) |
Gamma |
| \(\Delta\) |
\(\delta\) |
Delta |
| \(E\) |
\(\epsilon\) |
Epsilon |
| \(Z\) |
\(\zeta\) |
Zeta |
| \(\Theta\) |
\(\theta\) |
Theta |
| \(\Lambda\) |
\(\lambda\) |
Lambda |
| \(\Xi\) |
\(\xi\) |
Xi |
| \(\Pi\) |
\(\pi\) |
Pi |
| \(\Sigma\) |
\(\sigma\) |
Sigma |
| \(\Phi\) |
\(\phi\) |
Phi |
| \(\Psi\) |
\(\psi\) |
Psi |
| \(\Omega\) |
\(\omega\) |
Omega |
Calculus
Integration
| Notation |
Meaning |
| \(y = \int x^2 \, dx\) |
Indefinite integral |
| \(A = \int_a^b f(x) \, dx\) |
Area under the curve from a to b |
Differentiation
| Notation |
Meaning |
| \(\frac{dy}{dx}\) |
Derivative of y with respect to x |
| \(\frac{d^2y}{dx^2}\) |
Second derivative |
| \(\frac{\partial y}{\partial z}\) |
Partial derivative with respect to z |
Complex Numbers
| Notation |
Meaning |
| \(z = 3 + 2i\) |
Complex number |
| \(i^2 = -1\) |
Imaginary unit |
| \(\text{Re}(z)\) |
Real part of z |
| \(\text{Im}(z)\) |
Imaginary part of z |
| \(|z| = \sqrt{a^2 + b^2}\) |
Modulus of complex number |
| \(\bar{z} = a - bi\) |
Complex conjugate |
By Dominic Walliman (2018)