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An Application of Network Flows to Rearrangement of Series
Author(s) -
NashWilliams C. St J. A.,
White D. J.
Publication year - 1999
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799007292
Subject(s) - series (stratigraphy) , permutation (music) , sequence (biology) , combinatorics , set (abstract data type) , mathematics , computer science , physics , chemistry , biology , paleontology , biochemistry , acoustics , programming language
For each permutation f of the set of positive integers, all triples s , t , u are determined such that t and u are the lower and upper limits of the sequence of partial sums of the ‘ f ‐rearrangement’ ∑ a f ( n ) of some real series ∑ a n with sum s .