单词 | Rényi's Parking Constants | ||||||||||||||||||||||||||||||||||||||||||
释义 | Rényi's Parking ConstantsN.B. A detailed on-line essay by S. Finchwas the starting point for this entry. Given the Closed Interval
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Furthermore,
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Let
where
and the numerical value is due to Blaisdell and Solomon (1970). Dvoretzky and Robbins (1964) also proved that
Palasti (1960) conjectured that in 2-D,
Blaisdell, B. E. and Solomon, H. ``On Random Sequential Packing in the Plane and a Conjecture of Palasti.'' J. Appl. Prob. 7, 667-698, 1970. Dvoretzky, A. and Robbins, H. ``On the Parking Problem.'' Publ. Math. Inst. Hung. Acad. Sci. 9, 209-224, 1964. Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/renyi/renyi.html Mannion, D. ``Random Space-Filling in One Dimension.'' Publ. Math. Inst. Hung. Acad. Sci. 9, 143-154, 1964. Palasti, I. ``On Some Random Space Filling Problems.'' Publ. Math. Inst. Hung. Acad. Sci. 5, 353-359, 1960. Rényi, A. ``On a One-Dimensional Problem Concerning Random Space-Filling.'' Publ. Math. Inst. Hung. Acad. Sci. 3, 109-127, 1958. Solomon, H. and Weiner, H. J. ``A Review of the Packing Problem.'' Comm. Statist. Th. Meth. 15, 2571-2607, 1986. |
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