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The Steinitz-Gross Theorem on Sums of Vectors
Published online by Cambridge University Press: 20 November 2018
Extract
α1α2, …, αp are n-dimensional vectors,
,;
they are arranged to form a closed polygon
.
Denote by R(α1, α2, …, αp) the radius of the smallest circumscribed hypersphere with centre at 0 ; by R(α1, α2, …, αp) the minimum of
(α1, α2, …, αp)
for all possible reorderings
of α2, …, αp−1 and by cn the least possible constant such that
for all possible choices of p and α1α2, … , αp.
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- Copyright © Canadian Mathematical Society 1954
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