Notations

Notation	Meaning
$\forall$	for each/for every/for all
$\exists$	there exists
$\therefore$	therefore
$A\Rightarrow B$	whenever A is true, B is also true
s.t.	such that
$a\wedge b$	the minimum of $a$ and $b$
$a\vee b$	the maximum of $a$ and $b$
$\displaystyle\sum_{i=1}^{n}x_i$	$x_1+x_2+\cdots+x_n$
$\displaystyle\prod_{i=1}^{n}x_i$	$x_1\times x_2\times\cdots\times x_n$
$n!$	factorial of nonnegative integer $n$ , $\displaystyle n!=\prod_{i=1}^{n}i$ ( $0!=1$ )
$x\%y$	modulo operation
$\Phi$	empty set
$\int f(x)\,dx$	indefinite integral of $f(x)$
$\displaystyle\int_a^b f(x)\,dx$	definite integral of $f(x)$ from $a$ to $b$
$x^+$	$\max(x,0)$
$N(\mu,\sigma^2)$	normal distribution with mean $\mu$ and variance $\sigma^2$
cdf	cumulative density function
pdf	probability density function