Lattice Paths and Harmonic Means

Lattice Paths and Harmonic Means

Harmonic means are rarely discussed these days, perhaps because there are few interesting examples of their use. Starting with a question about lattice paths, we present a problem that finds its solution incorporating harmonic means. We also outline the situation beyond two dimensions.

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Veröffentlicht in:The College mathematics journal 2016-03, Vol.47 (2), p.121-124
1. Verfasser: Zucker, Marc
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic mean
College mathematics
Combinatorics
Harmonic analysis
Harmonic mean
Lattice theory
Mathematical induction
Mathematical lattices
Mathematical monotonicity
Mathematical theorems
Mathematics
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Beschreibung
Zusammenfassung:Harmonic means are rarely discussed these days, perhaps because there are few interesting examples of their use. Starting with a question about lattice paths, we present a problem that finds its solution incorporating harmonic means. We also outline the situation beyond two dimensions.
ISSN:0746-8342
1931-1346
DOI:10.4169/college.math.j.47.2.121