Results 61 to 70 of about 331,888 (266)

Lucas congruences for the Ap\'ery numbers modulo $p^2$

, 2020
The sequence $A(n)_{n \geq 0}$ of Ap\'ery numbers can be interpolated to $\mathbb{C}$ by an entire function. We give a formula for the Taylor coefficients of this function, centered at the origin, as a $\mathbb{Z}$-linear combination of multiple zeta ...
Krattenthaler, Christian, Rowland, Eric, Yassawi, Reem   +2 more
core  

Formation of Stable Amorphous Calcium Phosphate and Collagen Assemblies by a Versatile Spray‐Drying Approach

Advanced Functional Materials, EarlyView.
Amorphous calcium phosphate (ACP) microparticles with long‐term and thermal stability are prepared with or without collagen using a scalable one‐pot spray‐drying process. Under simulated physiological conditions, they crystallize into biomimetic bone mineral and, when combined with collagen, form extrudable, fibrillar bone‐like 3D constructs.
Camila Bussola Tovani, Nessma Bennaceur, Celina Benkhellat, Tristan Georges, Clara Doisneau, Vaskar Sardhalia, Thierry Azaïs, Flora Lemaire, Halima Kerdjoudj, Mohamed Selmane, Capucine Sassoye, Marie Albéric, Cédric Boissière, Nadine Nassif   +13 more
wiley   +1 more source

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

Journal of Innovative Applied Mathematics and Computational Sciences
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers,
Ahmad Ali Mehrad, Mansoor Kakar Mirwais
doaj   +1 more source

Fibonacci or Lucas numbers that are products of two Lucas numbers or two Fibonacci numbers

, 2023
This contribution presents all possible solutions to the Diophantine equations $F_k=L_mL_n$ and $L_k=F_mF_n$. To be clear, Fibonacci numbers that are the product of two arbitrary Lucas numbers and Lucas numbers that are the product of two arbitrary Fibonacci numbers are determined herein.
Daşdemir, Ahmet, Emin, Ahmet
openaire   +2 more sources

A New Threshold Switching Device With Tunable Negative Differential Resistance Based on ErMnO3 Polymorphs

Advanced Functional Materials, EarlyView.
Polymorph engineering in ErMnO3 enables low‐voltage, forming‐free threshold switching with tunable negative differential resistance. Conducting orthorhombic regions embedded in an insulating hexagonal matrix provide controlled Joule‐heating‐enhanced Poole–Frenkel transport. The hexagonal phase prevents excessive heating and breakdown.
Rong Wu, Florian Maudet, Thanh Luan Phan, Wassim Hamouda, Richard Schroedter, Ahmet Samil Demirkol, Ronald Tetzlaff, Veeresh Deshpande, Catherine Dubourdieu   +8 more
wiley   +1 more source

Transformations of Pythagorean triples generated by generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
We present matrices that transform Pythagorean triples arising from generalized Fibonacci sequences into other such triples. We also show that entries in the powers of such matrices can be expressed in terms of generalized Fibonacci sequences.
Jathan Austin
doaj   +1 more source

Enhanced Li‐Ion Battery Performance with Hybrid MXene/GnR Electrodes: Heterojunctions and Engineered Architectures Supported by DFT Mechanistic Studies for Improved Rate Performance, Stability & Capacity

Advanced Functional Materials, EarlyView.
Lithium‐ion batteries (LIBs) remain central to energy storage but suffer from slow ion transport and degradation. Here, we present a binder‐free Ti3C2Tx MXene/GnR hybrid electrode with a porous 3D architecture formed via freeze casting. The structure enhances conductivity, ion transport, and stability, delivering 401 mAh/g, ∼97% efficiency, and 92 ...
Sara Mohseni Taromsari, Meysam Salari, Dipali Nayak, Saeed Habibpour, Ling Wei Hwang, Cristopher Carreiro, Carlos M. Da Silva, Aiping Yu, Chul B. Park, Cristina H. Amon, Hani E. Naguib   +10 more
wiley   +1 more source

A New 3D Colon on a Chip to Decipher the Influence of Mechanical Forces on the Physiological Cellular Ecosystem

Advanced Healthcare Materials, EarlyView.
To dissect how mechanical forces influence intestinal physiology, we developed a stretchable 3D colon‐on‐chip that integrates tunable topography, stiffness and peristalsis‐like motion within a physiologically relevant microenvironment. We showed that stretching is a dominant factor governing epithelial behavior, markedly enhancing proliferation and ...
Moencopi Bernheim‐Dennery, Lauriane Gérémie, Julie Brun, Lucas Chassatte, Giacomo Gropplero, Réda Bouras, Jieun Choo, Bertrand Cinquin, Alba Marcellan, Danijela Matic Vignjevic, Stéphanie Descroix   +10 more
wiley   +1 more source

On Mersenne Numbers and their Bihyperbolic Generalizations

Annales Mathematicae Silesianae
In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers.
Bród Dorota, Szynal-Liana Anetta
doaj   +1 more source

On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers

Mathematics
This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Catarino   +2 more
doaj   +1 more source