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On 2D Inverse Problems/Notation
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On 2D Inverse Problems
$\mathbb {N} {\mbox{ of natural numbers}}$
$\mathbb {D} {\mbox{ is the open disc domain}}$
$\mathbb {b} {\mbox{ is the open domain nature boundary}}$
$\mathbb {C} ^{\pm }{\mbox{ is the complex half-plane}}$
$mega{\mbox{ is a root of unity}}$
$\nabla {\mbox{ is the gradient}}$
$\Delta =\nabla \cdot \nabla {\mbox{ is the Laplace operator}}$
$\Lambda {\mbox{ is Dirichlet-to-Neumann operator}}$
$D_{x}{\mbox{ is a diagonal matrix w/the vector }}x{\mbox{ on the diagonal }}(D_{x}1=x)$
$D_{A}{\mbox{ is the diagonal matrix, coinciding on diagonal w/the matrix }}A$
$y,\lambda {\mbox{ is eigenvalue of operator/matrix}}$
$ma(A){\mbox{ is spectrum of matrix }}A,{\mbox{ zeros of characteristic polynomial }}$
$\rho (A){\mbox{ is the characteristic polynomial of matrix }}A$
$\tau {\mbox{ is the Cayley transform}}$
$ega{\mbox{ is a continuous domain}}$
$G/G^{*}{\mbox{ is graph or network and its dual}}$
$V_{G}{\mbox{ is the set of vertices of a graph}}$
$E_{G}{\mbox{ is the set of edges of a graph}}$
$M_{G}{\mbox{ is the medial graph of an embedded graph }}G$
$c{\mbox{ is conductivity}}$