PRML读书笔记——Mathematical notation

x, a vector, and all vectors are assumed to be column vectors.

M, denote matrices.

xT, a row vcetor, T means transpose of a vector or matrix.

(w1 , . . . , wm ), a row vector with m elements, and the corresponding column vector is written as w = (w1 , . . . , wm )T.

[a, b], is used to denote the closed interval from a to b(闭区间).

(a, b), is used to denote the open interval from a to b(开区间).

[a, b), is denotes an interval that includes a but excludes b.

IM, M * M identity matrix (also known as the unit matrix)(单位矩阵).

f[y], A functional is denoted f[y] where y(x) is some function,e.g H[y] means entroy of function y(x).

g(x) = O(f (x)) denotes that |f (x)/g(x)| is bounded as x → ∞.For instance if g(x) = 3x2 + 2, then g(x) = O(x2).

Ex[f(x, y)], The expectation of a function f (x, y) with respect to a random variable x. Or E[x].

Ex[f(x)|z], conditioned on another variable z.

cov[x, y], covariance of vector x and vecotr y. Use cov[x] as a shorthand notation for cov[x, x].

p(B), to denote a distribution over the random variable B

“∝”, 表示成正比例

原文地址:https://www.cnblogs.com/zhuangliu/p/5653865.html