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391:{\displaystyle V_{k}(\pi _{k}(K))\leq V_{k}(\pi _{k}(L)){\mbox{ for all }}1\leq k<n\implies V_{n}(K)\leq V_{n}(L).}
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579:. Kobenhavns Univ. Mat. Inst., Copenhagen. pp. 234–241.
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Proceedings of the
Colloquium on Convexity (Copenhagen, 1965)
471: ≥ 3. The solution of Shephard's problem requires
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Shephard, G. C. (1964), "Shadow systems of convex sets",
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548:Gardner, Richard J. (2002).
560:(3): 355–405 (electronic).
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603:Mathematische Zeitschrift
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96:Geoffrey Colin Shephard
58:more precise citations.
489:Busemann–Petty problem
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116:dimensional
88:mathematics
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668:Categories
542:References
520:Petty 1967
424:brightness
213:hyperplane
207:onto some
201:projection
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650:0021-2172
609:: 71–82.
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597:(1967).
483:See also
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