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Dual Density Operators and Natural Language Meaning [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 Density operators allow for representing ambiguity about a vector representation, both in quantum theory and in distributional natural language meaning.
Daniela Ashoush, Bob Coecke
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Fuzzy weighted natural nearest neighbor based density peak clustering [PDF]
Scientific ReportsDPC (density peaks clustering) algorithm has garnered widespread attention due to its novelty and superior performance. However, it is sensitive to the arbitrary cutoff distance, and its very efficient assignment strategy is prone to leading “domino ...
Mingzhao Wang +2 more
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Chlodowsky type $\left( \lambda,q\right)$-Bernstein Stancu operators of Pascal rough triple sequences [PDF]
Journal of Mahani Mathematical Research, 2023 The fundamental concept of statistical convergence first was put forward by Steinhaus and at the same time but also by Fast \cite{Fast} independently both for complex and real sequences. In fact, the convergence in terms of statistical manner can be
Ayhan Esi +2 more
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Natural Density and the Quantifier “Most” [PDF]
Journal of Logic, Language and Information, 2020 This paper proposes a formalization of the class of sentences quantified by \textit{most}, which is also interpreted as {\em proportion of} or {\em majority of} depending on the domain of discourse. We consider sentences of the form "\textit{Most A are B}", where \textit{A} and \textit{B} are plural nouns and the interpretations of $ A $ and $ B $ are ...
Selçuk Topal, Ahmet Çevik
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STATISTICAL BOUNDED SEQUENCES OF BI-COMPLEX NUMBERS
Проблемы анализа, 2023 In this paper, we extend statistical bounded sequences of real or complex numbers to the setting of sequences of bi-complex numbers. We define the statistical bounded sequence space of bicomplex numbers b^* ∞and also define the statistical bounded ...
S. Bera, B. Ch. Tripathy
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On the Parity of the Order of Appearance in the Fibonacci Sequence
Mathematics, 2021 Let (Fn)n≥0 be the Fibonacci sequence. The order of appearance function (in the Fibonacci sequence) z:Z≥1→Z≥1 is defined as z(n):=min{k≥1:Fk≡0(modn)}.
Pavel Trojovský
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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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On the Natural Density of Sets Related to Generalized Fibonacci Numbers of Order r
Axioms, 2021 For r≥2 and a≥1 integers, let (tn(r,a))n≥1 be the sequence of the (r,a)-generalized Fibonacci numbers which is defined by the recurrence tn(r,a)=tn−1(r,a)+⋯+tn−r(r,a) for n>r, with initial values ti(r,a)=1, for all i∈[1,r−1] and tr(r,a)=a. In this paper,
Pavel Trojovský
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The Proof of a Conjecture Related to Divisibility Properties of z(n)
Mathematics, 2021 The order of appearance of n (in the Fibonacci sequence) z(n) is defined as the smallest positive integer k for which n divides the k—the Fibonacci number Fk. Very recently, Trojovský proved that z(n) is an even number for almost all positive integers n (
Eva Trojovská, Kandasamy Venkatachalam
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On Some Properties of the Limit Points of (z(n)/n)n
Mathematics, 2021 Let (Fn)n≥0 be the sequence of Fibonacci numbers. The order of appearance of an integer n≥1 is defined as z(n):=min{k≥1:n∣Fk}. Let Z′ be the set of all limit points of {z(n)/n:n≥1}.
Eva Trojovská, Kandasamy Venkatachalam
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