The Proof of a Conjecture on the Density of Sets Related to Divisibility Properties of z(n)
Mathematics, 2021 Let (Fn)n be the sequence of Fibonacci numbers. The order of appearance (in the Fibonacci sequence) of a positive integer n is defined as z(n)=min{k≥1:n∣Fk}.
Eva Trojovská, Venkatachalam Kandasamy
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More simple solution of not so simple problems – how does it happen?
Lietuvos Matematikos Rinkinys, 2023 Several non-standard problems are regarded and the possibilities of simple approaching to their solution are regarded and discussed.
Romualdas Kašuba
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Information flow versus divisibility for qubit evolution [PDF]
Physical Review A, 2019 We study the relation between lack of Information Backflow and completely positive divisibility (CP divisibility) for non-invertible qubit dynamical maps.
S. Chakraborty, D. Chru'sci'nski
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One more time about the relation between morphemic analysis and word-formation analysis [PDF]
Južnoslovenski Filolog, 2019 One of the basic criteria when it comes to describing the surface structure of the derivative lexical units is distinguishing morphemic and word-formation analysis.
Baltova Yuliya M.
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Five approaches to exact open-system dynamics: Complete positivity, divisibility, and time-dependent observables. [PDF]
Journal of Chemical Physics, 2019 To extend the classical concept of Markovianity to an open quantum system, different notions of the divisibility of its dynamics have been introduced.
Viktor Reimer +3 more
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On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos
Modern Stochastics: Theory and Applications, 2020 Infinite divisibility of a class of two-dimensional vectors with components in the second Wiener chaos is studied. Necessary and sufficient conditions for infinite divisibility are presented as well as more easily verifiable sufficient conditions.
Andreas Basse-O’Connor +2 more
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On Two Problems Related to Divisibility Properties of z(n)
Mathematics, 2021 The order of appearance (in the Fibonacci sequence) function z:Z≥1→Z≥1 is an arithmetic function defined for a positive integer n as z(n)=min{k≥1:Fk≡0(modn)}. A topic of great interest is to study the Diophantine properties of this function. In 1992, Sun
Pavel Trojovský
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On the 2-adic order of Stirling numbers of the second kind and their differences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $n$ and $k$ be positive integers, $d(k)$ and $\nu_2(k)$ denote the number of ones in the binary representation of $k$ and the highest power of two dividing $k$, respectively.
Tamás Lengyel
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Time: Avicenna, Aristotle; Two Perspectives or One? [PDF]
حکمت و فلسفه, 2012 The concept of time, its existence, ontology, and epistemology are considered as a pivotal philosophical issue from the ancient Greek time up to now. Aristotle explicitly deals with this subject. His notion of time can be also seen in Avicenna’s writings.
zohreh abd khodai +1 more
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Congruences Module m and its Applications and Diophantine Equations [PDF]
Científica, 2023 A method of analysis of two topics of the theory of numbers, the congruences modulo m and the Diophantine equations, is developed; the first referred to the divisibility between numbers, and the second to the solution of equations with integer ...
Mario Antonio Ramírez Flores +1 more
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