On 2D Inverse Problems/Notation
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ℕ
of natural numbers
𝔻
is the open disc domain
𝕓
is the open domain nature boundary
ℂ
±
is the complex half-plane
m
e
g
a
is a root of unity
∇
is the gradient
Δ
=
∇
⋅
∇
is the Laplace operator
Λ
is Dirichlet-to-Neumann operator
D
x
is a diagonal matrix w/the vector
x
on the diagonal
(
D
x
1
=
x
)
D
A
is the diagonal matrix, coinciding on diagonal w/the matrix
A
y
,
λ
is eigenvalue of operator/matrix
m
a
(
A
)
is spectrum of matrix
A
,
zeros of characteristic polynomial
ρ
(
A
)
is the characteristic polynomial of matrix
A
τ
is the Cayley transform
e
g
a
is a continuous domain
G
/
G
*
is graph or network and its dual
V
G
is the set of vertices of a graph
E
G
is the set of edges of a graph
M
G
is the medial graph of an embedded graph
G
c
is conductivity
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