Index of Mathematical Symbols
Index of Mathematical Symbols
Greek Alphabet
| $\alpha$ | Alpha |
|---|---|
| $\beta$ | Beta |
| $\gamma$ | Gamma |
| $\delta, \Delta$ | Delta |
| $\epsilon$ | Epsilon |
| $\zeta$ | Zeta |
| $\eta$ | Eta |
| $\theta$ | Theta |
| $\kappa$ | Kappa |
| $\lambda$ | Lambda |
| $\mu$ | Mu |
| $\xi$ | Xi |
| $\pi$ | Pi |
| $\rho$ | Rho |
| $\sigma$ | Sigma |
| $\tau$ | Tau |
| $\phi, \varphi$ | Phi |
| $\chi$ | Chi |
| $\psi, \Psi$ | Psi |
| $\omega, \Omega$ | Omega |
Set/Logical Symbols
| $\in$ | In |
|---|---|
| $\cup, \bigcup$ | Union |
| $\cap, \bigcap$ | Intersection |
| $\subseteq, \subset$ | Subset |
| $\supseteq, \supset$ | Superset |
| $\setminus$ | Set difference |
| $\triangle$ | Symmetric difference |
| $\times$ | Cartesian product |
| $A^c$ | Complement of $A$ |
| $\emptyset, \{ \}$ | Empty set |
| $\mathbb{N}$ | Set of natural numbers |
| $\mathbb{Z}$ | Set of integers |
| $\mathbb{Q}$ | Set of rational numbers |
| $\mathbb{R}$ | Set of real numbers |
| $\mathbb{C}$ | Set of complex numbers. |
| $\vee$ | Or (connective) |
|---|---|
| $\wedge$ | And (connective) |
| $\rightarrow, \Rightarrow$ | Implication (connective) |
| $\leftrightarrow, \Leftrightarrow$ | Logical equivalence (connective) |
| $\exists$ | Existential quantifier |
| $\forall$ | Universal quantifier |
| $\blacksquare$ | End of proof |
Calculus, Analysis, and Linear Algebra Symbols
| $D(f)$, $\mathrm{dom} (f)$ | Domain |
|---|---|
| $R(f)$, $\mathrm{ran} (f)$ | Range |
| $C(f)$ | Codomain |
| $(a, b)$ | Bounded open interval |
| $[a, b]$ | Bounded closed interval |
| $a_0 + a_1x + ... + a_nx^n$ | Polynomial |
| $\sqrt{x}$ | Squareroot function |
| $\sin x$, $\cos x$, $\tan x$ | Sine, cosine, and tangent functions. |
| $\sec x$, $\csc x$, $\cot x$ | Secant, cosecant, and cotangent functions. |
| $\sin^{-1} x$, $\cos^{-1} x$, $\tan^{-1} x$ | Inverse sine, inverse cosine, and inverse tangent functions. |
| $a^x$, $e^x$ | Exponential functions |
| $\log_a x$, $\ln x$ | Logarithmic functions |
| $\lim$ | Limit |
| $\limsup$ | Limit superior |
| $\liminf$ | Limit inferior |
| $\sup$ | Supremum |
| $\inf$ | Infimum |
| $dx$ | Differential |
| $\displaystyle{\frac{d}{dx}}$ | Differentiation operator |
| $\displaystyle{\int}$ | Integral |
| $(a_n)_{n=1}^{\infty}, \{ a_n \}_{n=1}^{\infty}$ | Sequence |
| $\to$ | Convergence |
| $\uparrow$ | Increasing |
| $\downarrow$ | Decreasing |
| $(M, d)$ | Metric space |
| $d$ | Metric |
| $(X, \tau)$ | Topological space |
| $B(x, r)$ | Open ball |
| $\mathrm{int} (A)$ | Interior |
| $\overline{A}$ | Closure |
| $P = \{ a = x_0 < x_1 < ... < x_n = b \}$ | Partition |
| $\mathscr{P} [a, b]$ | Set of partitions |
| $V_f (P)$ | Variation of $f$ |
| $S(I)$ | Set of step functions on $I$ |
| $U(I)$ | Set of upper functions on $I$ |
| $L(I)$ | Set of Lebesgue integrable functions on $I$ |
| $\sum$ | Summation |
| $\prod$ | Product |
| $A_{m \times n}$ | $m$ by $n$ Matrix |
|---|---|
| $I_n$ | $n$ by $n$ Identity matrix |
| $0_{m \times n}$ | $m$ by $n$ Zero matrix |
| $A^T$ | Matrix transpose |
| $A^{-1}$ | Matrix inverse |
| $\mathrm{adj} (A)$ | Adjoint matrix |
| $\mathrm{cof} (A)$ | Cofactor matrix |
| $\det$ | Determinant |
| $\vec{x}, \mathbf{x}$ | Vector |
| $\perp$ | Perpendicular, orthogonal |
| $\mathrm{proj}$ | Projection |
| $\parallel$ | Parallel |
| $\| \cdot \|$ | Norm |
| $\equiv$ | Congruence (relation) |
|---|---|
| $\sim$ | Equivalence (relation) |
| $<, \leq$ | Less than, less than or equal (relation) |
| $>, \geq$ | Greater than, greater than or equal (relation) |
| $=$ | Equality |
| $\mod n$ | Modulo |
Abstract Algebra Symbols
| $+$ | Addition (binary operation) |
|---|---|
| $\cdot, *, \times$ | Multiplication (binary operation) |
| $-$ | Negation (unary operation) |
| $e$ | Identity element |
| $0$ | Additive identity |
| $1$ | Multiplicative identity |
| $-a$ | Additive inverse |
| $a^{-1}$ | Multiplicative inverse |
| $(G, +), (G, \cdot)$ | Additive group, multiplicative group |
| $(R, +, \cdot)$ | Ring |
| $(F, +, \cdot)$ | Field |