In 1965, Fine & Wilf proved the following theorem: if (f n )n≥0 and (g n ) n ≥0 are periodic sequences of real numbers, of periods h and k respectively, ...
Abstract. In 1965, Fine & Wilf proved the following theorem: if (fn)n≥0 and (gn)n≥0 are periodic sequences of real numbers, of periods h and k.
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In their paper [1] they studied periodicity properties of partial words and presented a variant of the theorem of Fine and Wilf for partial words with one hole.
Bibliographic details on Variations on a Theorem of Fine & Wilf.
Variations on a Theorem of Fine & Wilf · F. MignosiJ. ShallitMing-wei Wang. Mathematics. MFCS. 2001. TLDR. Variations on Fine & Wilf's theorem on periodic ...
The well known Fine and Wilf's theorem for words states that if a word has two periods and its length is at least as long as the sum of the two periods minus ...
In mathematical analysis, Rademacher's theorem, named after Hans Rademacher, states the following: If U is an open subset of R n and f: U → R m is Lipschitz ...
Sep 5, 2021 · Vf[I]=supS(f,P)=f(b)−f(a)<+∞. Thus (ii) is proved. Now for (i), let f=g−h with g↑ and h↑ on I. By (ii), g and h are of bounded variation on I.
We study properties of functions with bounded variation in Carnot-Carathéodory spaces. We prove their almost everywhere approximate differentiability and we ...
Oct 21, 2020 · This short note is meant to be an introduction to a class of results that arise frequently in analysis on real manifolds.