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 Sep 15 revised Understanding the notation of the gradient of a vector function emphasized output of gradient of a vector Sep 15 asked Understanding the notation of the gradient of a vector function Sep 15 comment Understanding tensor divergence notation in an integral Sep 15 comment Understanding tensor divergence notation in an integral Ok... and by the requirement that the tensor is smooth, can we conclude that $\sigma_{ij}$ is a smooth function! Sep 14 accepted Understanding tensor divergence notation in an integral Sep 14 comment Understanding tensor divergence notation in an integral Oh... ok... So, at each point, a matrix is assigned. Could I also consider it as if $\sigma$ were a matrix whose elements are functions of variables in $R^2$? Sep 14 comment Understanding tensor divergence notation in an integral In the definition of $\sigma$, it maps a vector to a matrix. But in your notation of the right hand side, wouldn't $\sigma n$ be a vector? Isn't this a contradiction? Sep 14 comment Understanding tensor divergence notation in an integral So, you mean "the usual divergence theorem" for each column vector of $\sigma$? Sep 14 accepted Accumulation points of sequences as limits of subsequences? Sep 14 asked Understanding tensor divergence notation in an integral Sep 14 awarded Citizen Patrol Sep 14 comment Numerical solution of fractional integro-diffrential equ. using collocation method? This question may be best posted on scicomp.stackexchange.com. It is more geared towards numerical methods for scientific computing. Sep 14 comment Understanding Line integral notation @MichaelBoratko: Yes, in fact, I'm evaluating the RHS integral in this notation. I'm parameterizing a curve around a quadrilateral, one segment at a time. Would $dS_{1}$ (in my case) be equivalent to ||C'(t)||dt? Sep 14 comment Understanding Line integral notation Its in Understanding and Implementing the Finite Element Method by M.S. Gockenbach. Sep 14 asked Understanding Line integral notation Sep 9 comment Proving the Kantorovich inequality Could you post your answer? There may be others interested in the same question... i.e. me! :) Sep 7 comment Accumulation points of sequences as limits of subsequences? Ah, so it does work both ways! That's awesome! :) Sep 7 comment Accumulation points of sequences as limits of subsequences? As I'm working in $R^n$ space, I think that should work! :) Sep 7 asked Accumulation points of sequences as limits of subsequences? Sep 7 comment Evaluating $\iiint x\,dx\,dy\,dz$ limited by paraboloid of equation $x=4 y^2+4z^2$ & for plane $x=4$ Sometimes, books can be mistaken as well.