Results 21 to 30 of about 509 (137)
A New Proof of Rational Cycles for Collatz-Like Functions Using a Coprime Condition
Journal of Mathematics, 2023 In this paper, we study the bounded trajectories of Collatz-like functions. Fix α,β∈Z>0 so that α and β are coprime. Let k¯=k1,…,kβ−1 so that for each 1≤i≤β−1, ki∈Z>0, ki is coprime to α and β, and ki≡i mod β.
Benjamin Bairrington, Nabil Mohsen
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The principal eigenvalue of some nth order linear boundary value problems
Boundary Value Problems, 2021 The purpose of this paper is to present a procedure for the estimation of the smallest eigenvalues and their associated eigenfunctions of nth order linear boundary value problems with homogeneous boundary conditions defined in terms of quasi-derivatives.
Pedro Almenar, Lucas Jódar
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IEEE Access, 2020 This paper presents a new concept for finding saddle-node bifurcation (SNB) points in voltage stability analysis of power systems by applying the extended functional method (EFM).
Pablo Daniel Paz Salazar +4 more
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On the Probabilistic Proof of the Convergence of the Collatz Conjecture
Journal of Probability and Statistics, 2019 A new approach towards probabilistic proof of the convergence of the Collatz conjecture is described via identifying a sequential correlation of even natural numbers by divisions by 2 that follows a recurrent pattern of the form x,1,x,1…, where x ...
Kamal Barghout
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Syrphid Diversity in Sweet Alyssum Flower Strips in Quebec's Lettuce Fields: Molecular Identification and Delimitation of the <i>Sphaerophoria</i> Complex. [PDF]
Ecol EvolThis study demonstrates that sweet alyssum effectively attracts syrphid species, the majority of which are aphid predators, making it a promising tool for biological control in Quebec lettuce fields. With Toxomerus marginatus as the most abundant species, the research also underscores taxonomic challenges within the Sphaerophoria complex and provides a
Kalboussi M +4 more
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On local semirings induced by topologies: An algebraic approach to the Collatz conjecture
Applied General TopologyWe present an algebraic approach to the Collatz conjecture by studying the topology τf on ℕ induced by the Collatz function f, where the open sets θ ⊂ ℕ satisfy f-1 ( θ ) ⊂ θ .
Angel Guale, Jorge Vielma
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, 2021 In this article, we define a very important sequence of functions, all the functions of this sequence present behaviors very close to that of the Collatz function. The study of such functions allows us to obtain very interesting results concerning the collatz conjecture and more precisely concerning the generalization of this problem, the nature of the
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Functions for the $3n+1$-problem
Researches in MathematicsWhat functions can represent the $3n+1$-problem? A number of such functions have been given during the past years. In this paper, a specific one is considered which has $1, 2, 3, \ldots$ as critical points and $1.5, 2.5, 3.5, \ldots$ as fixed points on ...
P. Kórus
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Plant, Cell &Environment, EarlyView.ABSTRACT We studied near‐instantaneous temperature responses of light‐saturated photosynthesis (Asat) and the operating efficiency of photosystem II (ΦPSII) in relation to acclimation of photosynthetic biochemistry to temperature at the timescale of 1–8 days. We grew two closely related Brassica oleracea L.
Paul L. Drake +4 more
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The number system in rational base $3/2$ and the $3x+1$ problem
Comptes Rendus. MathématiqueThe representation of numbers in rational base $p/q$ was introduced in 2008 by Akiyama, Frougny & Sakarovitch, with a special focus on the case $p/q=3/2$.
Eliahou, Shalom +1 more
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