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 Sep14 asked Understanding tensor divergence notation in an integral Sep14 awarded Citizen Patrol Sep14 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. Sep14 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? Sep14 comment Understanding Line integral notation Its in Understanding and Implementing the Finite Element Method by M.S. Gockenbach. Sep14 asked Understanding Line integral notation Sep9 comment Proving the Kantorovich inequality Could you post your answer? There may be others interested in the same question... i.e. me! :) Sep7 comment Accumulation points of sequences as limits of subsequences? Ah, so it does work both ways! That's awesome! :) Sep7 comment Accumulation points of sequences as limits of subsequences? As I'm working in $R^n$ space, I think that should work! :) Sep7 asked Accumulation points of sequences as limits of subsequences? Sep7 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. Sep7 comment Evaluating $\iiint x\,dx\,dy\,dz$ limited by paraboloid of equation $x=4 y^2+4z^2$ & for plane $x=4$ You don't need to substitute anything for x... the change in variables result in a differential of the form: $r dxdrd\theta$. Sep7 answered Evaluating $\iiint x\,dx\,dy\,dz$ limited by paraboloid of equation $x=4 y^2+4z^2$ & for plane $x=4$ Aug31 comment Verifying an error estimate on a multidimensional function using its jacobian Thanks, copper.hat! :) Aug31 accepted Verifying an error estimate on a multidimensional function using its jacobian Aug31 comment Verifying an error estimate on a multidimensional function using its jacobian You're answer makes a lot sense now! Just one little question: I'm not quite sure I understand how we can make the assumption that $\epsilon \le ||J(x^*)||$ "without loss of generality". Could you elaborate on that? What allows us to make such a claim? Aug31 comment Verifying an error estimate on a multidimensional function using its jacobian I think I understand it now... The main purpose of the statement in the first line of the second paragraph is to ensure that $||x+t(x^*-x)-x||$ is in the ball so that continuity ensures that we can bound $||J(x+t(x^*-x)-x)-J(x)||$ by epsilon. It's a subtle detail that I just couldn't see at first. Aug31 comment Verifying an error estimate on a multidimensional function using its jacobian Hi copper.hat. In the second line of the second paragraph, you wrote $||x+t(x^*-x) -x||$, but I think you meant to write $||x+t(x^*-x) -x^*||$. Otherwise, $||x+t(x^*-x) -x||=t||x^*-x||$. Do you agree? Aug31 revised Verifying an error estimate on a multidimensional function using its jacobian corrected slight error in notation Aug31 accepted Sufficiency to prove the convergence of a sequence using even and odd terms