List of Abbreviations

General Notation

images/f04_I0001.gif : the set of real numbers
images/f04_I0002.gif : n-dimensional Euclidean space
images/f04_I0003.gif : the set of complex numbers
images/f04_I0004.gif
images/f04_I0005.gif : the set of non-negative integers
images/f04_I0006.gif : 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 images/f04_I0007.gif, for example, e2 = (0, 1, 0, …, 0)
images/f04_I0008.gif for all
images/f04_I0009.gif there exist(s)
images/f04_I0010.gif because
images/f04_I0011.gif therefore

 

Electromagnetism

E : electric field intensity
B : magnetic flux density
J : current density
D : electric flux density
σ : electrical conductivity
images : electrical permittivity
γ = σ + iωimages : admittivity
u : voltage (electrical potential)

 

Notations for Domains and Vector Spaces

Ω : a domain in images
∂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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