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) \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} $$