Results 91 to 100 of about 10,716 (231)
A Computational Interpretation of the Jacobsthal Model of the 3n + 1 Problem
The present work provides a computational realisation of the theoretical constructions introduced by P. Kosobutskyy and D. Mailland in their Jacobsthal-based interpretation of the Collatz problem. In that framework, the set of natural numbers is viewed as a family of binary-rooted sequences (θ • 2 n ) indexed by odd parameters θ, each sequence ...
Mailland, David, Kosobutskyy, Petro
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The planar and radial thermal free jets for forced convection of a non‐Newtonian power‐law fluid are investigated. The thermal diffusivity is dependent on the shear‐rate and is not a constant. The flow in planar and radial thermal free jets is governed by the momentum, continuity and energy balance equations. In the stream‐function formulation,
Avnish Bhowan Magan, Rehana Naz
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Demonstratio MathematicaIn this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
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On the regularity properties for solutions of the Cauchy problem for the porous media equation
, 1989 We consider the Cauchy problem for the equation ∂ t u = Δ u m {\partial _t}u = \Delta {u^m} in
Kazuya Hayasida
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Overshooting of Hypoplastic Models With Intergranular Strain: Manifestation, Implications and Remedy
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Intergranular strain extensions of hypoplasticity (IGS, ISA, GIS) are widely used to model small‐strain and cyclic soil behaviour. However, recent studies and our own simulations reveal that these models can exhibit stress overshooting not only under repeated small loading cycles but also during monotonic loading.
Jan Machaček +2 more
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The 2-linkage problem for acyclic digraphs
, 1985 We consider the problem of finding two disjoint directed paths with prescribed ends in an acylic digraph. We solve this by reducing it to a problem of planarity testing of an undirected graph and we apply this to give a necessary and sufficient condition,
Thomassen, Carsten
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Calyx and epicalyx morphology in Indian Hibiscus (Malvaceae) and its taxonomic importance
Nordic Journal of Botany, EarlyView.Hibisceae is one of the largest tribes in Malvaceae, having a diverse floral morphology. The genus Hibiscus shows a wide range of evolutionary patterns in calyx and epicalyx morphology. Genera like Abelmoschus, Azanza, Gossypium, Hibiscus,and Thespesia are separated on the basis of calyx and epicalyx morphology, meaning that the calyx and epicalyx have
Jagdish Vishnu Dalavi +1 more
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Über das Syracuse Problem [PDF]
, 1987 Einleitung: Das sog. 3n+1-Problem, auch Collatz-Problem oder Syracuse-Problem genannt, hat in der letzten Zeit an Aktualität gewonnen. Eine Reihe von Übersichtsartikeln macht dies deutlich.
Meinardus, Günter
core
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan +3 more
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Scale invariance and Fractal dissipation Zones in the 3n+1 problem
"Este trabalho apresenta a descoberta de zonas de dissipação invariantes de escala dentro das oitavas binárias da sequência de Collatz. Demonstramos que a convergência ao ciclo 4-2-1 não é estocástica, mas determinada por uma 'Engrenagem Fractal' de avaliações 2-ádicas que funcionam como ralos de escoamento em posições percentuais fixas RELATÓRIO ...
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