Results 121 to 130 of about 594,288 (306)
Topology Augmented with Geometry in the Assembly of Structural Databases: Kagome Intermetallics
Advanced Science, EarlyView.The combination of topological filtering with geometrical restraints reliably screens for kagome layers within intermetallic compounds. The resulting comprehensive list of kagome net‐containing intermetallics can be reviewed to identify examples of interest for particular investigations and also used to build ML models to guide the search for further ...
Nataliya L. Gulay +8 more
wiley +1 more source
On Sums of Squares of Pell-Lucas Numbers
, 2006 In this paper we prove several formulas for sums of squares of even Pell-Lucas numbers, sums of squares of odd Pell-Lucas numbers, and sums of products of even and odd PellLucas numbers. These sums have nice representations as products of appropriate Pell and Pell-Lucas numbers with terms from certain integer sequences.
Cerin Z., GIANELLA, Gian Mario
openaire +3 more sources
Advanced Science, EarlyView.Implantable brain–computer interfaces (iBCIs) are rapidly approaching clinical translation. This review maps key trends in the development of iBCIs and highlights the lack of standardised clinical outcome measures. It discusses a proposed framework for the selection of outcome measures in clinical trials and introduces a new international registry of ...
Esmee Dohle +8 more
wiley +1 more source
Multi-Dimensional Transitional Dynamics: A Simple Numberical Procedure [PDF]
We propose the relaxation algorithm as a simple and powerful method for simulating the transition process in growth models. This method has a number of important advantages: (1 It can easily deal with a wide range of dynamic systems including stiff ...
Karl-Josef Koch +2 more
core
Initial number of Lucas’ type series for the generalized Fibonacci sequence
, 2021 Siniša Crvenković +3 more
openalex +2 more sources
Engineered Cas12j‐8 is a Versatile Platform for Multiplexed Genome Modulation in Mammalian Cells
Advanced Science, EarlyView.Engineered through structure‐guided protein engineering, enCas12j‐8 significantly enhances the editing efficiency of compact Cas12j‐8 while maintaining high specificity. It enables efficient multiplexed genome editing and base editing using a single crRNA array, demonstrating broad applicability and therapeutic potential in genome engineering ...
Ru Meng +14 more
wiley +1 more source
Congruences for $q$-Lucas Numbers [PDF]
The Electronic Journal of Combinatorics, 2013 For $\alpha,\beta,\gamma,\delta\in{\mathbb Z}$ and ${\rm\nu}=(\alpha,\beta,\gamma,\delta)$, the $q$-Fibonacci numbers are given by$$F_0^{{\rm\nu}}(q)=0,\ F_1^{{\rm\nu}}(q)=1\text{ and }F_{n+1}^{{\rm\nu}}(q)=q^{\alpha n-\beta}F_{n}^{{\rm\nu}}(q)+q^{\gamma n-\delta}F_{n-1}^{{\rm\nu}}(q)\text{ for }n\geq 1.$$And define the $q$-Lucas number $L_{n}^{{\rm\nu}
openaire +1 more source
Multiple Sums of Circular Binomial Products
MathematicsFive classes of multiple sums about circular products of binomial coefficients are investigated. Their generating functions are explicitly expressed as rational functions, with coefficients being Fibonacci and Lucas numbers.
Marta Na Chen, Wenchang Chu
doaj +1 more source
Advanced Science, EarlyView.This study combined microscale 3D‐printing with 2D Ti3C2Tx MXene nanosheets to produce electroconductive microfibrous micro‐meshes. By embedding these MXene‐functionalized micro‐meshes within a growth‐supportive macroporous extracellular matrix (ECM)‐based biomaterial, multifunctional biomimetic MXene‐ECM scaffolds were developed.
Ian Woods +10 more
wiley +1 more source
The extended Frobenius problem for Lucas series incremented by a Lucas number
, 2022 Aureliano M. Robles-Pérez +1 more
openalex +2 more sources