Mathematical Notation

Symbol Description  
$\mathbb{R}$ set of Real numbers  
$\mathbb{C}$ set of Complex numbers  
$\mathbb{N}$ set of natural numbers  
$\mathcal{N}$ any set of numbers  
$\forall$ For all  
$\exists$ There exists  
$\in$ belongs to  
$\subset$ subset  
$\ni$ or $ $ such that
iff if and only if  
$\mapsto$ maps to  
$\rightarrow$ converges to  
$\Rightarrow$ implies  
$\mathcal{F}(X,\mathbb{R})$ space of functions from $X \mapsto \mathbb{R}$  
$\mathcal{C}(X, \mathbb{R})$ space of continuous functions from $X \mapsto \mathbb{R}$  
$\mathcal{C}^r([a,b])$ space of $r$-times continuously differentiable functions from in $[a, b]$  
$\mathcal{L}(U,V)$ a linear mapping from vector space $U$ to vector space $V$