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Research problems - MaRDI portal

Research problems (Q5903412)

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scientific article; zbMATH DE number 4009234
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English
Research problems
scientific article; zbMATH DE number 4009234

    Statements

    Research problems (English)
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    1987
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    In Research problem 41, \textit{J. M. Wills} formulates the 'space conjecture' concerning inequalities for the maximal packing density and minimal covering density of k balls respectively. In Research problem 42, \textit{L. Fejes Tóth} rephrases and generalizes the Robinson problem in asking for values of M(r), the maximum of the average number of neighbours extended over all packings circles of radius r.
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    sausage-conjecture
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    maximal average number of neighbours
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    maximal packing density
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    minimal covering density of k balls
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    packings circles
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    Identifiers