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- W2038853840 abstract "Let N records be stored in an M-dimensional trie (M-d trie). It is shown that under the symmetric Bernoulli model the variance of the cost CNω of a partial match retrieval is with continuous periodic function τω, where u is the number of unspecified components in a query ω of size M. This confirms in quantitative manner a conjecture by Kirschenhofer, Prodinger, and Szpankowski [Int. J. Found. Comput. Sci., 4, 69–84 (1993)], who presented a detailed analysis of Var CNω in the M = 2, u = 1-case, but used in their proof a transformation formula of Ramanujan, which does not seem to have an analogue for M > 2. Our analysis is based on exponential approximations and Mellin inversion." @default.
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- W2038853840 date "1995-08-01" @default.
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- W2038853840 title "The variance of a partial match retrieval in a multidimensional symmetric trie" @default.
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- W2038853840 doi "https://doi.org/10.1002/rsa.3240070106" @default.
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