User:Daviddaved/Notation

Notation

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

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

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

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

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

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

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

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

$M \mbox{ is surface}$

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

$\nabla \mbox{ is gradient}$

$\Delta \mbox{ is Laplace operator}$

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

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

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

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

$\lambda \mbox{ is eigenvalue}$

$\rho \mbox{ is characteristic polynomial}$

$P \mbox{ is permutation matrix}$

$F \mbox{ is Fourier transform}$

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

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

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

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

$w \mbox{ is weight function}$

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

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

$\gamma \mbox{ is conductivity}$

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

$q \mbox{ is potential}$