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Results tagged with spherical-geometry
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user 520452
19
votes
1
answer
1k
views
What is the largest subset of the sphere such that inner product of any two points in the se...
I'm interested in the question of finding the maximum area of $A\subset S^{d-1}$, such that, for all $x,y \in A, \left<x,y\right>\ge 0$. The portion of the sphere lying in the positive orthant seems l …
- 351
5
votes
0
answers
136
views
Given a collection of vectors $x_1,\ldots,x_k$, which inner products $\langle x_i,x_j\rangle...
Given a collection of vectors $x_1,\ldots,x_k$, which inner products $\langle x_i,x_j\rangle$ need to be known to uniquely determine all inner products? I'll begin with the specific case I am interest …
- 351