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Shadow systems of convex sets

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Abstract

Ans-system of convex sets is the system of shadows of a given convex set cast on to a subspace by a beam of light whose direction varies. Here the convexity properties ofs-systems are investigated, and, in the final section, a relationship with the projection functions of convex sets is established.

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Authors and Affiliations

  1. University of Birmingham, Birmingham, England

    G. C. Shephard

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  1. G. C. Shephard
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Shephard, G.C. Shadow systems of convex sets. Israel J. Math. 2, 229–236 (1964). https://doi.org/10.1007/BF02759738

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  • DOI: https://doi.org/10.1007/BF02759738

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