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Part 2 §18: Coordinates & Tensors

Coordinate systems and tensors

25 entries· Edition 2019FR→ About Part 2
2-18vector
25
2-18.1
vector a , a →
vector
2-18.2
sum of vectors a + b
sum of vectors and
2-18.3
product of scalar and vector x a
product of a number, scalar, or component and vector
2-18.4
magnitude of vector | a |
magnitude of the vector , + norm of the vector
2-18.5
zero vector 0 , 0 →
zero vector
2-18.6
unit vector e a , a ^
unit vector in the direction of
2-18.7
unit vector, Cartesian coordinates e x , e y , e z , e 1 , e 2 , e 3
unit vectors in the directions of the Cartesian coordinate axes
2-18.8
Cartesian coordinates of vector a x , a y , a z , a i
Cartesian coordinates of vector , + Cartesian components of vector
2-18.9
Kronecker delta symbol δ i k
Kronecker delta symbol
2-18.10
Levi-Civita symbol ɛ i j k
Levi-Civita symbol
2-18.11
scalar product of vectors a ⋅ b
scalar product of and
2-18.12
product of vectors a × b
vector product of and
2-18.13
nabla operator ∇ , ∇ →
nabla operator
2-18.14
gradient, of scalar function ∇ φ , grad φ
gradient of
2-18.15
divergence, of vector ∇ ⋅ a , div a
divergence of
2-18.16
rotation, of vector ∇ × a , rot a
rotation of
2-18.17
Laplacian ∇ 2 , Δ
Laplacian
2-18.18
d'Alembertian □
d'Alembertian
2-18.19
tensor of second order T , T → →
tensor of the second order
2-18.20
Cartesian coordinates of tensor T x x , T x y , … , T z z , T 11 , T 12 , … , T 33
Cartesian coordinates of tensor , + Cartesian components of tensor
2-18.21
dyadic product a b , a ⊗ b
dyadic product, + tensor product of two vectors and
2-18.22
tensor product of tensors T ⊗ S
tensor product of two tensors and of the second order
2-18.23
inner product of tensors T ⋅ S
inner product of two tensors and of the second order
2-18.24
inner product of tensor and vector T ⋅ a
inner product of a tensor of the second order and a vector
2-18.25
scalar product of tensors T : S
scalar product of two tensors and of the second order
25 of 25 entries