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Let X be an (irreducible) affine variety, U a nonempty open subset of X, Y an affine subvariety of X and a morphism. Denote the closure of the graph of f in by X', and denote the graph of by G. Why is the closure of G in equal to the closure of G in X'? (There should be an easy reason...) — Preceding unsigned comment added by [[User:{{{1}}}|{{{1}}}]] ([[User talk:{{{1}}}|talk]] • [[Special:Contributions/{{{1}}}|contribs]])
I have an n-dimensional ellipsoid E and a hyperplan H. This hyperplane cuts E into two parts: E1 and E2 (whose disjoint union is E). I want to find another ellipsoid E' that has minimal hyper-volume and contains E1. To do this, I fist thought to formulate it as an optimization problem, but I am having difficulty with formulating it, as I don't know how to formulate the containment (of E1 in E') constraint. Could anyone help me formulating it or pointing out another way to do it (suggesting some program, or an algorithm, etc.). 213.8.204.9 ( talk) 11:31, 21 August 2016 (UTC)
Mathematics desk | ||
---|---|---|
< August 20 | << Jul | August | Sep >> | Current desk > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Let X be an (irreducible) affine variety, U a nonempty open subset of X, Y an affine subvariety of X and a morphism. Denote the closure of the graph of f in by X', and denote the graph of by G. Why is the closure of G in equal to the closure of G in X'? (There should be an easy reason...) — Preceding unsigned comment added by [[User:{{{1}}}|{{{1}}}]] ([[User talk:{{{1}}}|talk]] • [[Special:Contributions/{{{1}}}|contribs]])
I have an n-dimensional ellipsoid E and a hyperplan H. This hyperplane cuts E into two parts: E1 and E2 (whose disjoint union is E). I want to find another ellipsoid E' that has minimal hyper-volume and contains E1. To do this, I fist thought to formulate it as an optimization problem, but I am having difficulty with formulating it, as I don't know how to formulate the containment (of E1 in E') constraint. Could anyone help me formulating it or pointing out another way to do it (suggesting some program, or an algorithm, etc.). 213.8.204.9 ( talk) 11:31, 21 August 2016 (UTC)