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- W1997715509 abstract "The k -generalized Fibonacci numbers are defined as in [1]. A polyphase merge (merging an equal number of sequences from k tapes onto a single unused tape) using k +1 tapes is defined in terms of linear combinations of these numbers. A method is described to output sequences onto k of k +1 tapes after the internal sorting of elements to form sequences. This method will permit a polyphase merge of sequences of sorted elements provided that enough sequences are generated internally to place the proper numbers of sequences on each of the k tapes. For each value of k , there is a set of permissible numbers that can represent the total number of sequences generated during the original output process. If one of these numbers is met exactly and if there is a specific distribution of sequences on the k tapes, then a polyphase merge may proceed. If these conditions are not met, an algorithm is necessary to adjust the numbers of sequences to permit a polyphase merge. This paper describes such an algorithm." @default.
- W1997715509 created "2016-06-24" @default.
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- W1997715509 date "1961-08-01" @default.
- W1997715509 modified "2023-10-14" @default.
- W1997715509 title "A generalized polyphase merge algorithm" @default.
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- W1997715509 doi "https://doi.org/10.1145/366678.366689" @default.
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