Tagged Questions
0
votes
0answers
123 views
p-norm of hessian matrix of NxNxN dimension
I am trying to analyze a problem using the norm of second derivative of a vector-valued function
F = [ f1(x1,....,xn) ; f2 (x1,....xn);...;fn(x1,.....,xn)]. We assume that all fi functions are twice ...
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 ...
0
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1answer
63 views
Help needed with tensors [duplicate]
Possible Duplicate:
An Introduction to Tensors
Recently I came across the concept of tensors and heard it is very difficult to understand.
Is there a ...
0
votes
1answer
1k views
What is the divergence of a matrix valued function?
According to Wikipedia:
The divergence of a continuously differentiable tensor field $\underline{\underline{\epsilon}}$ is:
...
0
votes
1answer
172 views
gradient of row vector multiplied by scalar
I'm trying to re-write $v (u x)$ where $v$ and $u$ are row vectors and $x$ is a column vector as some expression $M x$ (or $\bar{v}x$, etc.).
The motivation is because I'm trying to compute the ...
1
vote
1answer
206 views
Taylor expansion in time of the time component of a stress energy tensor
Perform a taylor expansion in 3 dimensions in time on the time compontent of of $T^{\alpha \beta}(t - r + n^{i} y_{i})$ given that $r$ is a contstant and $n^{i} y_{i}$ is the scalar product of a ...
