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On convex bodies that are characterizable by volume function. ``Old and recent problems for a new generation'': a survey - MaRDI portal

On convex bodies that are characterizable by volume function. ``Old and recent problems for a new generation'': a survey (Q778120)

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On convex bodies that are characterizable by volume function. ``Old and recent problems for a new generation'': a survey
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    On convex bodies that are characterizable by volume function. ``Old and recent problems for a new generation'': a survey (English)
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    30 June 2020
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    In this very well written survey paper, the author collects many long-standing open problems connected with convex-hull-type volume functions (e.g., covariogram, widthness, brightness), to inspire the computer experts for such research. He mentions the most important concepts, statements, and problems in the three-dimensional case.
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    centred convex body
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    central symmetric convex body
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    convex-hull function
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    covariogram function
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    difference body
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    Blaschke body
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    survey paper
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    open problems
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