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math.MG2019
On Theorems of Sinajova, Rankin and Kuperberg Concerning Spherical Point Configurations
A. Y. Alfakih
This note presents simple linear algebraic proofs of theorems due to Sinajova, Rankin and Kuperberg concerning spherical point configurations. The common ingredient in these proofs…
math.MG2019
On Unit Spherical Euclidean Distance Matrices Which Differ in One Entry
A. Y. Alfakih
A unit spherical Euclidean distance matrix (EDM) D is a matrix whose entries can be realized as the interpoint (squared) Euclidean distances of n points on a unit sphere. In this p…