# User:DVD206/Notation

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## Notation

${\displaystyle \mathbb {N} {\mbox{ is the set of integers}}}$
${\displaystyle \mathbb {R} {\mbox{ is the set of real numbers}}}$
${\displaystyle \mathbb {R} ^{N}{\mbox{ is the N-dimensional Euclidean space}}}$
${\displaystyle \mathbb {C} {\mbox{ is the set of complex numbers}}}$
${\displaystyle a,b,\ldots {\mbox{ are real and complex numbers}}}$
${\displaystyle \mathbb {C} ^{+}=\{z\in \mathbb {C} ,\Re (z)\geq 0\}{\mbox{ is the complex right half-plane}}}$
${\displaystyle \mathbb {D} =\{z\in \mathbb {C} ,|z|\leq 1\}{\mbox{ is the closed unit disc}}}$
${\displaystyle \omega {\mbox{ is root of unity}}}$
${\displaystyle M{\mbox{ is surface}}}$
${\displaystyle \alpha ,\beta ,\ldots {\mbox{ are analytic functions}}}$
${\displaystyle \nabla {\mbox{ is gradient}}}$
${\displaystyle \Delta {\mbox{ is Laplace operator}}}$
${\displaystyle \Lambda {\mbox{ is Dirichlet-to-Neumann operator}}}$
${\displaystyle k,l,m{\mbox{ are integers}}}$
${\displaystyle P,Q{\mbox{ are ordered subsets of integers}}}$
${\displaystyle A,B,\ldots {\mbox{ are matrices}}}$
${\displaystyle \lambda {\mbox{ is eigenvalue}}}$
${\displaystyle \rho {\mbox{ is characteristic polynomial}}}$
${\displaystyle P{\mbox{ is permutation matrix}}}$
${\displaystyle F{\mbox{ is Fourier transform}}}$
${\displaystyle H^{k}(\Omega ){\mbox{ is a weighted space}}}$
${\displaystyle \Gamma /\Gamma ^{*}{\mbox{ is graph and its dual}}}$
${\displaystyle V{\mbox{ is the set of vertices}}}$
${\displaystyle E{\mbox{ is the set of edges}}}$
${\displaystyle w{\mbox{ is weight function}}}$
${\displaystyle G/G^{*}{\mbox{ is network and its dual}}}$
${\displaystyle M(G){\mbox{ is the medial graph}}}$
${\displaystyle \gamma {\mbox{ is conductivity}}}$
${\displaystyle u,v{\mbox{ are harmonic functions}}}$
${\displaystyle q{\mbox{ is potential}}}$