Tagged Questions
2
votes
1answer
121 views
Vector Calculus - Curl of Vector
I'm asked to prove the following identity, using index notation:
$(\nabla\times A)\times A=A \cdot\nabla A - \nabla(A \cdot A)$
However, when I work it out, I find that the actual solution should ...
1
vote
2answers
145 views
How do I calculate numerically a tensor in polar coordinates?
You can formulate the question also like this: What is the easiest way of calculating directed derivative of a function if its values are evaluated in a cartesian grid?
a) fit a (spline) surface, ...
1
vote
1answer
71 views
basic vector being hermitian
If the space has a mixed metric signature, not all the basis vectors are Hermitian.
Nevertheless, they are defined to be self-adjoint under reversion. The vector transpose
conjugate is, ...
3
votes
1answer
488 views
vector/tensor covariance and contravariance notation
As I looked over the Wikipedia article: http://en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors
is said as a contravariant vector and
is said as covariant vector (or covector).
...
1
vote
1answer
196 views
Index/Einstein notation to derive Gibbs/Tensor relations
In a few continuum classes I have seen indicial notation used to derive relations in Gibbs notation. However, Gibbs notation is valid for all coordinates while indicial notation is valid only for ...
