On 2D Inverse Problems/Notation



\mathbb{N} \mbox{ of natural numbers} $$

\mathbb{D} \mbox{ is the open disc domain} $$

\mathbb{b} \mbox{ is the open domain nature boundary} $$

\mathbb{C}^\pm \mbox{ is the complex half-plane} $$

mega \mbox{ is a root of unity} $$

\nabla \mbox{ is the gradient} $$

\Delta=\nabla\cdot\nabla \mbox{ is the Laplace operator} $$

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

D_x \mbox{ is a diagonal matrix w/the vector } x \mbox{ on the diagonal } (D_x 1 = x) $$

D_A \mbox{ is the diagonal matrix, coinciding on diagonal w/the matrix } A $$

y,\lambda \mbox{ is eigenvalue of operator/matrix} $$

ma(A) \mbox{ is spectrum of matrix } A, \mbox{ zeros of characteristic polynomial } $$

\rho(A) \mbox{ is the characteristic polynomial of matrix } A $$

\tau \mbox{ is the Cayley transform} $$

ega \mbox{ is a continuous domain} $$

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

V_G \mbox{ is the set of vertices of a graph} $$

E_G \mbox{ is the set of edges of a graph} $$

M_G \mbox{ is the medial graph of an embedded graph } G $$

c \mbox{ is conductivity} $$