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Results tagged with euclidean-geometry
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user 106046
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.
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Orthogonal projection of a point centrally-symmetric closed convex subset of $\mathbb R^n$ n...
Fix $j \in \{1, ..., n\}$. As I understand your symmetry condition, for any $y \in C$, we have $y^{j, 0} \in C$ which is defined via $y^{j, 0}_i := y_i$ for $i \neq j$ and $y^{j, 0}_j = 0$. Then by th …
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