| | indicator function. It is equal to 1(0) if A is true(false) |
| [x]+ | max(x,0) |
| [x]× | min(x]+, ref), where ref refers to certain reference level according to the application scenario, e.g., Bmax |
| ~ | distributed as |
| | set of natural numbers |
| | real coordinate space of dimension is omitted when equals to 1 |
| | set ofpositive real numbers |
| | complex coordinate space ofdimension d. d is omitted when equals to 1 |
| | denotes cardinality or absolute value operation in case of a set or a scalar as input, respectively |
| | lp norm. The value ofp may or may not be specified when p = 2 expected value with respect to random variable X. When X is not specified, the expected value is with respect to all random variables |
| | probability of occurrence of event A |
| | Laplace transform of random variable X |
| | inverse Laplace transform operator |
| fX(x) | PDF of random variable X |
| FX(x) | CDF of random variable X |
| | CCDF of random variable X |
| | gamma function |
| | upper incomplete gamma function |
| Kv(·) | modified Bessel function of the second kind and order v |
| erf(·) | error function |
| Tr(·) | matrix trace operator |
| | big-O notation |
| diag(x) | diagonal matrix with the main diagonal from entries of x |
| (·)T | transpose operator |
| (·)H | Hermitian transpose operator |
| rank(·) | rank operator |
| | generalized greater-than-or-equal-to inequality: between vectors, it represents component-wise inequality; between symmetric matrices, it represents matrix inequality |
| inf · | infimum operator |
| | imaginary unit, i.e., |
| | variance with respect to random variable X. When X is not specified, the variance is with respect to all random variables |
| Jn(·) | Besselfunction of first kind and order n |
| det(·) | determinant operation |
| mod(a, b) | a modulo b operation |
| atan2(c) | returns the angle in the Euclidean plane between the positive x axis and the ray to the point c |
| | derivative ofsingle-variable function f |
| | partial derivative ofmulti-variable function f with respect to x Hessian offunction f |
| Q(·) | Q-function, the tail distribution function of the standard normal distribution |
