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 May22 comment N points in a circle around a point on a sphere. Can you detail the second part ? (Then, use a 3D rotation...) May9 comment Definite integral $\int_{R_0}^{R}\frac{dr}{r^2\sqrt{\frac{R_0-R_S}{R_0^3}-\frac{1}{r^2}\left(1-\frac{R_{s}}{r}\right)}}$ Redoing all the calculations, I have one last question : why $\wp^{-1}\left(\beta\right) = w_{1}+w_{2}$ ? May5 comment Definite integral $\int_{R_0}^{R}\frac{dr}{r^2\sqrt{\frac{R_0-R_S}{R_0^3}-\frac{1}{r^2}\left(1-\frac{R_{s}}{r}\right)}}$ See the related question: physics.stackexchange.com/questions/111272/… if you have any idea.. May5 comment Definite integral $\int_{R_0}^{R}\frac{dr}{r^2\sqrt{\frac{R_0-R_S}{R_0^3}-\frac{1}{r^2}\left(1-\frac{R_{s}}{r}\right)}}$ I've finally implemented it in C++ and it works well ! Thanks ! May4 comment Fundamental period of the WeierstrassP elliptic function? @achillehui Is it the complete or half period ? May4 comment Fundamental period of the WeierstrassP elliptic function? But in that case $\lambda$ is negative as $e_1 > e_2 > e_3$ so I cannot compute the $K(k)$... May4 comment Fundamental period of the WeierstrassP elliptic function? So it is simply $K(\sqrt{\frac{e_3-e_2}{e_1-e_2}})$ ? May4 comment Definite integral $\int_{R_0}^{R}\frac{dr}{r^2\sqrt{\frac{R_0-R_S}{R_0^3}-\frac{1}{r^2}\left(1-\frac{R_{s}}{r}\right)}}$ Thanks ! One last question : what would be the final expression in terms of inverse Jacobi elliptic functions ? Mar11 comment Name of the generalization of quadtree and octree? No, K-d tree obeys a different logic, and I am speaking of the generalization of quadtree/octree... Mar2 comment What is the most generic algebraic structure for which we can define a tensor product? @ZevChonoles And in set theory (not category theory), what is the most generic mathematical object where we can form a product ? Mar2 comment What is the most generic algebraic structure for which we can define a tensor product? @ZevChonoles I am not very fluent in category theory, but is it correct to say that we can always define a tensor product of two monoids? Mar2 comment Point as an element of an affine space vs point as an element of a topological space? Thanks. Last question if you have time: what are the extra properties I bring to point if I define them as members of a topological space (in the most general sense). Mar2 comment Point as an element of an affine space vs point as an element of a topological space? From the programming point of view, to declare an element (for runtime execution) one of the best option is to define the set it comes from at compile-time: when you declare a vector you can say "I take an element of this vector space". If you have the knowledge on affine space/topological space, could you elaborate on question 1./2. so I can upvote your explanation ? Mar2 comment Point as an element of an affine space vs point as an element of a topological space? See the edit... Mar1 comment Relations between an affine space and a topological space See the edited question. Feb28 comment Origin in vector space? Ok, so here origin means the null vector, not a "point" (my problem was that a point is not an element of a vector space, but an element of an affine space). Do you agree with that ? Feb27 comment Rigorous definition and relations between point/vector/affine space/vector space/basis/frame/coordinate system I have good notions of set theory and linear algebra and I do not have big problem on these concepts taken separetely. But I do not have a clear picture of how to assemble and construct a coherent landscape with these concepts. Dec31 comment Square vs non-square tensors? Are you sure of what you are saying because in some documents, authors seem to say that the second fundamental form is a tensor of type (2, 0) (see section 17.3 of this document: maths-people.anu.edu.au/~andrews/DG/DG_chap17.pdf, or page 171 of this document : win.tue.nl/~rvhassel/Onderwijs/Tensor-ConTeX-Bib/…) Dec31 comment Square vs non-square tensors? Thank you very much. As I am not friendly at all with the second fundamental form, could you explain me what is exactly the number of dimension over each index? Dec31 comment Square vs non-square tensors? Maybe the term non-square tensor was not well-chosen then. The Riemann curvature tensor in this denomination IS a square tensor (by square I mean non-hyperrectangle: same dimension over each index).