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math.MG2025
On the sum of the angles between three vectors
Iosif Pinelis
For any three nonzero vectors in , we obtain a necessary and sufficient condition for the sum of the three pairwise angles between these vectors to equal .…
math.MG2019
Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle
Iosif Pinelis
An exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle is given.