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 Feb 23 comment Surface integral for a scalar function defined on a discrete surface The $\frac{\partial v}{\partial s} \times \frac{\partial v}{\partial t}$ is an expression involving both $s$ and $t$. Are you certain about the $s$ terms being null? I did not understand what you meant when described the scalar parameters $s$ and $t$ as "not orthogonal". Could you also expand on what you meant by "a good way to describe a scalar function" (actually that is a vector valued function) and "a wrong way to describe area" (the area is usually proportional to the norm of the cross product of the sides of a triangle). Jan 24 accepted Normal coordinates and the metric matrix Jan 20 comment Normal coordinates and the metric matrix Thanks for the hints. What would a short intuitive image the diagonialization procedure effect might have? In essence, if I am not gravely mistaking, it transforms ellipses in the tangent plane into equivalently corresponding circles, for example? Jan 17 asked Normal coordinates and the metric matrix Oct 8 accepted Volume of a triangular prism with non parallel bases Aug 21 awarded Tumbleweed Jul 2 awarded Curious Jun 12 accepted Quaternion exponential map, rotations and interpolation Jun 12 comment Quaternion exponential map, rotations and interpolation Thanks for the info.. I still have some difficulties picturing how these computations relate to the equations on the question. Is the $\mathfrak{q}_{rotationInduction}$ stored in the tangent plane? It doesn't make sense to do it like that too much.. May 13 awarded Teacher Oct 28 answered Volume of a triangular prism with non parallel bases Oct 28 comment Volume of a triangular prism with non parallel bases $\lambda_i$ are not necessarily equal for $i=\overline{1,3}$ - I guess that might not work as desired. Oct 28 asked Volume of a triangular prism with non parallel bases Oct 25 revised Surface integral for a scalar function defined on a discrete surface corrected surface integral to double integral expression Oct 23 awarded Promoter Oct 19 revised Surface integral for a scalar function defined on a discrete surface added 1694 characters in body Oct 18 comment Surface integral for a scalar function defined on a discrete surface @Evgeny, I agree with your observation, my bad for not clarifying. the scenario. you should consider each point to have a convex combination of the energies stored. at the vertices of the triangle it lies in. Oct 18 revised Surface integral for a scalar function defined on a discrete surface added 354 characters in body Oct 18 comment Surface integral for a scalar function defined on a discrete surface I'll edit the question to reflect the need of adapting a continuous concept to a discrete context Oct 18 comment Surface integral for a scalar function defined on a discrete surface @Evgeny, if you compute the surface integral of a function over something that lacks the dimension of a surface element, I guess common sense (not only measure theory) tells us that the integral is zero.. but this is discrete differential geometry, and the issue is adapting a continuous concept as faithfully to the discrete context. I'm not looking for abstract caveats coming from Measure Theory because, well, I will have to use a computer to perform practical calculations and measurements. I can't just "measure" abstract sets using digital tools :(..