A Remark on Convex Polytopes
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In this note we wish to present an alternative proof for the following well-known theorem [1, Theorem 16]: every convex polytope X in Euclidean n-dimensional space Rn is the intersection of a finite family of closed half-spaces. It will be supposed that the converse of this theorem has been verified by conventional arguments, namely: every bounded intersection of a finite family of closed half-spaces in Rn is a convex polytope [cf. 1, Theorem 15].
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1993 ◽
Vol 47
(1)
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pp. 1-12
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1970 ◽
Vol 22
(2)
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pp. 265-287
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1964 ◽
Vol 16
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pp. 701-720
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2014 ◽
Vol 1022
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pp. 357-360
1989 ◽
Vol 21
(11)
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pp. 1541-1546
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2014 ◽
Vol 51
(4)
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pp. 466-519
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1968 ◽
Vol 20
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pp. 1412-1424
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1967 ◽
Vol 19
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pp. 1214-1217
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