Results 11 to 20 of about 40,627 (161)
The Proof of a Conjecture on the Density of Sets Related to Divisibility Properties of z(n)
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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Let $a, b$ and $n$ be positive integers and $S = \left\{ {x_1, ..., x_n} \right\}$ be a set of $n$ distinct positive integers. The set $S$ is called a divisor chain if there is a permutation $\sigma $ of $\{1, ..., n\}$ such that $x_{\sigma (1)}|...|x_ ...
Long Chen, Shaofang Hong
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One more time about the relation between morphemic analysis and word-formation analysis [PDF]
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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Linear divisibility sequences and Salem numbers [PDF]
We study linear divisibility sequences of order 4, providing a characterization by means of their characteristic polynomials and finding their factorization as a product of linear divisibility sequences of order 2.
Abrate, Marco +3 more
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Evolution Equations for Quantum Semi-Markov Dynamics
Using a newly introduced connection between the local and non-local description of open quantum system dynamics, we investigate the relationship between these two characterisations in the case of quantum semi-Markov processes.
Nina Megier +2 more
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DIVISIBILITY TESTS FOR SMARANDACHE SEMIGROUPS [PDF]
Two Divisibility Tests for Smarandache semigroups are given. Further, the notion of divisibility of elements in a semigroup is applied to characterize the Smarandache semigroups.
Rao, Chandra Sekhar
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On the 2-adic order of Stirling numbers of the second kind and their differences [PDF]
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]
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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New results on the divisibility of power GCD and power LCM matrices
Let $ a, b $ and $ n $ be positive integers and let $ S $ be a set consisting of $ n $ distinct positive integers $ x_1, ..., x_{n-1} $ and $ x_n $. Let $ (S^a) $ (resp. $ [S^a] $) denote the $ n\times n $ matrix having $ \gcd(x_i, x_j)^a $ (resp. $ {\rm
Guangyan Zhu , Mao Li, Xiaofan Xu
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Arithmetical Functions Associated with the k-ary Divisors of an Integer
The k-ary divisibility relations are a class of recursively defined relations beginning with standard divisibility and culminating in the so-called infinitary divisibility relation.
Joseph Vade Burnett +4 more
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