List of Abbreviations
General Notation
: the set of real numbers
:
n-dimensional Euclidean space
: the set of complex numbers
: the set of non-negative integers
: the set of positive integers
r = (x, y, z) : position
Br(a) : the ball with radius r at the center a and Br = Br(0)
ej :
jth unit vector in
, for example,
e2 = (0, 1, 0, …, 0)
for all
there exist(s)
because
therefore
Electromagnetism
E : electric field intensity
B : magnetic flux density
J : current density
D : electric flux density
σ : electrical conductivity
: electrical permittivity
γ = σ + iω
: admittivity
u : voltage (electrical potential)
Notations for Domains and Vector Spaces
Ω : a domain in
∂Ω : the boundary of the domain Ω
n : the unit outward normal vector to the boundary
C(Ω) : the set of all continuous functions in Ω
Ck(Ω) : the set of continuously kth differentiable functions defined in the domain Ω
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