Results 101 to 110 of about 10,886,718 (351)
The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences [PDF]
, 2014 Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.Comment: 23 ...
Ballot, Christian
core
Atomistic Mechanisms Triggered by Joule Heating Effects in Metallic Cu‐Bi Nanowires for Spintronics
Advanced Materials, EarlyView.Bi doped metallic Cu nanowires are promising for spintronics thanks to the stabilization of a giant spin Hall effect. However, heat resulting from current injection forces Bi to leave solution, forcing segregation into monoatomic decorations which evolve into coherent crystalline aggregates.
Alejandra Guedeja‐Marrón +6 more
wiley +1 more source
High‐Concentration Antibody Formulation via Solvent‐Based Dehydration
Advanced Materials, EarlyView.Amorphous solid antibodies are encapsulated into hydrogel microparticles through a solvent‐based dehydration process. The solvent extracts water from antibody solution droplets, causing the antibody to concentrate, and precipitation of the antibody into amorphous solid is induced.
Talia Zheng +3 more
wiley +1 more source
Some properties of the generalized (p,q)- Fibonacci-Like number
MATEC Web of Conferences, 2018 For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
doaj +1 more source
Lucas numbers of the form (2t/k)
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019 Let Lm denote the mth Lucas number. We show that the solutions to the diophantine equation (2t/k) = Lm, in non-negative integers t, k ≤ 2t−1, and m, are (t, k, m) = (1, 1, 0), (2, 1, 3), and (a, 0, 1) with non-negative integers a.
Irmak, Nurettin, Szalay, Laszlo
openaire +3 more sources
Advanced Materials Interfaces, EarlyView.Graphene‐coated TiO2 core–shell nanoparticles are introduced as multifunctional additives for lithium grease, yielding an 85.7% reduction in wear rate, a 22% decrease in operating temperature, and improved film retention under mixed lubrication.
Ethan Stefan‐Henningsen +1 more
wiley +1 more source
Multinomial Catalan Numbers and Lucas Analogues
, 2023 We define a new generalization of Catalan numbers to multinomial coefficients. With arithmetic methods, we study their integrality and the integrality of their Lucasnomial generalization. We give a complete characterization of regular Lucas sequences for which they yield integers up to finitely many cases.
openaire +3 more sources
An Injection‐Molded Modified Silicone Rubber for Cancer‐on‐Chip Applications
Advanced Materials Technologies, Volume 10, Issue 6, March 18, 2025.This study describes the characterization and application of an injection‐molded functionalized PDMS fluidic insert for the commercially available Micronit system. Modified PDMS can accommodate cell culture and is able to covalently bind proteins for long‐lasting coatings under flow‐conditions.
Ben J. Haspels +7 more
wiley +1 more source
Fibonacci and Lucas identities derived via the golden ratio [PDF]
Electronic Journal of Mathematics, 2022 Kunle Adegoke
doaj +1 more source
Repdigits as Euler functions of Lucas numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.
Bravo Jhon J. +3 more
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