常见数学语言缩写

速查表

缩写	全称	含义	举例
a.a.	almost all	几乎所有	"For a.a. $x \in R$ , $f (x)$ is continuous."
a.e.	almost everywhere	几乎处处	" $f (x) = g (x)$ a.e."
a.s.	almost surely	几乎必然	" $X_{n} \to X$ a.s."
c.f.	compare with	参见、比较	"For more details, c.f. Chapter 5."
e.g.	exempli gratia	例如	"Consider the following examples, e.g., $x = 1$ or $x = 2$ ."
i.e.	id est	即、也就是说	"The set $A$ is non-empty, i.e., $A \neq \emptyset$ ."
iff	if and only if	当且仅当	"A is true iff B is true."
i.i.d.	independent and identically distributed	独立同分布	"Let $X_{1} , X_{2} \dots, X_{n}$ be i.i.d. random variables."
i.o.	infinitely often	无穷多次	"The event $A_{n} $ occurs i.o."
r.v.	random variable	随机变量	"Let $X$ be a r.v. with mean $μ$ ."
s.t.	such that	使得	"Find $x$ s.t. $f (x) = 0$ ."
w.p.	with probability	依概率	"Let $X = 1$ w.p. $p$ and $X = 0$ w.p. $1 - p$ ."
w.r.t.	with respect to	关于	"The derivative of $f (x)$ w.r.t. $x$ "