Helly's Theorem and Centre Point
Helly's Theorem and Centre Point
Helly's Theorem and Centre Point
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Helly’s <strong>Theorem</strong>We need to take help of Helly’s theorem toprove the existence of centre point.Helly’s <strong>Theorem</strong> Let S 1 , S 2 , . . ., S n be n ≥d + 1 convex sets in E d . If every d + 1 of thesets have common intersection than all the setshave a common intersection.17
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