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- W1669572421 abstract "We will show that for any $nge N$ points on the $N$-dimensional sphere $S^N$ there is a closed hemisphere which contains at least $lfloorfrac{n+N+1}{2}rfloor$ of these points. This bound is sharp and we will calculate the amount of sets which realize this value. If we change to open hemispheres things will be easier. For any $n$ points on the sphere there is an open hemisphere which contains at least $lfloorfrac{n+1}{2}rfloor$ of these points, independent of the dimension. This bound is sharp." @default.
- W1669572421 created "2016-06-24" @default.
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- W1669572421 date "2006-10-04" @default.
- W1669572421 modified "2023-09-27" @default.
- W1669572421 title "Points on Hemispheres" @default.
- W1669572421 hasPublicationYear "2006" @default.
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