Results 41 to 50 of about 17,245 (264)
Fagnano's method for solving algebraic equations: Its historical overview and development
Учёные записки Казанского университета: Серия Физико-математические науки, 2021 In 1750, Giulio Carlo Fagnano dei Toschi's treatise “Produzioni matematiche” was published in two volumes. The second volume of the treatise contains a work in which Fagnano proposed a uniform method for solving algebraic equations up to the fourth ...
A.N. Abyzov
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Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
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Fabrication, Properties, and Applications of Scaffolds for Bone Tissue Regeneration
Advanced Materials Technologies, EarlyView.This review explores cutting‐edge biomaterials and fabrication techniques for scaffolds in bone tissue regeneration. It conducts a critical comparison of various strategies, meticulously analyzes the key contradictions in the field, and outlines an integrated development path spanning from biomaterial selection to clinical application, while ...
Shangsi Chen, Min Wang
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The Third Order Jacobsthal Octonions: Some Combinatorial Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
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Second-order linear recurrences with identically distributed residues modulo pᵉ [PDF]
Notes on Number Theory and Discrete MathematicsLet p be an odd prime and let u(a,-1) and u(a',-1) be two Lucas sequences whose discriminants have the same nonzero quadratic character modulo p and whose periods modulo p are equal.
Lawrence Somer, Michal Křížek
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On the solutions of the equation p=x^2+y^2+1 in Lucas sequences
Wasit Journal for Pure Sciences, 2023 In 1970, Motohashi proved that there are an infinite number of primes having the form p=x^2+y^2+1 for some nonzero integers x and y. In this paper, we present a technique for studying the solutions of the equation p=x^2+y^2+1, where the unknowns are ...
Ali Sehen Athab, HAYDER R. HASHIM
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Advanced Materials Technologies, EarlyView.In this study, we report a resistive‐type strain sensor fabricated using single‐walled CNTs, are used layer using the pray technique to deposit as conductive, and UV‐resin was spin‐coated as a protection layer. The sensor functioned in harsh temperature variation conditions from −50°C to 125°C without deterioration.
Jagan Singh Meena +4 more
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New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
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Lucas non-Wieferich primes in arithmetic progressions and the abc conjecture
Open Mathematics, 2023 We prove the lower bound for the number of Lucas non-Wieferich primes in arithmetic progressions. More precisely, for any given integer k≥2k\ge 2, there are ≫logx\gg \hspace{0.25em}\log x Lucas non-Wieferich primes p≤xp\le x such that p≡±1(modk)p\equiv ...
Anitha K. +2 more
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Advanced Robotics Research, EarlyView.Visual teach‐and‐repeat (VTR) navigation allows robots to learn and follow routes without building a full metric map. We show that navigation accuracy for VTR can be improved by integrating a topological map with error‐drift correction based on stereo vision.
Fuhai Ling, Ze Huang, Tony J. Prescott
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