User:DVD206/Notation

Notation

$\mathbb {N} {\mbox{ is the set of integers}}$

$\mathbb {R} {\mbox{ is the set of real numbers}}$

$\mathbb {R} ^{N}{\mbox{ is the N-dimensional Euclidean space}}$

$\mathbb {C} {\mbox{ is the set of complex numbers}}$

$a,b,\ldots {\mbox{ are real and complex numbers}}$

$\mathbb {C} ^{+}=\{z\in \mathbb {C} ,\Re (z)\geq 0\}{\mbox{ is the complex right half-plane}}$

$\mathbb {D} =\{z\in \mathbb {C} ,|z|\leq 1\}{\mbox{ is the closed unit disc}}$

$\omega {\mbox{ is root of unity}}$

$M{\mbox{ is surface}}$

$\alpha ,\beta ,\ldots {\mbox{ are analytic functions}}$

$\nabla {\mbox{ is gradient}}$

$\Delta {\mbox{ is Laplace operator}}$

$\Lambda {\mbox{ is Dirichlet-to-Neumann operator}}$

$k,l,m{\mbox{ are integers}}$

$P,Q{\mbox{ are ordered subsets of integers}}$

$A,B,\ldots {\mbox{ are matrices}}$

$\lambda {\mbox{ is eigenvalue}}$

$\rho {\mbox{ is characteristic polynomial}}$

$P{\mbox{ is permutation matrix}}$

$F{\mbox{ is Fourier transform}}$

$H^{k}(\Omega ){\mbox{ is a weighted space}}$

$\Gamma /\Gamma ^{*}{\mbox{ is graph and its dual}}$

$V{\mbox{ is the set of vertices}}$

$E{\mbox{ is the set of edges}}$

$w{\mbox{ is weight function}}$

$G/G^{*}{\mbox{ is network and its dual}}$

$M(G){\mbox{ is the medial graph}}$

$\gamma {\mbox{ is conductivity}}$

$u,v{\mbox{ are harmonic functions}}$

$q{\mbox{ is potential}}$