Results 91 to 100 of about 973 (216)
Nature‐Inspired Design Strategies for Efficient Atmospheric Water Harvesting
Advanced Materials, Volume 37, Issue 51, December 23, 2025.This review presents advances in bioinspired atmospheric water harvesting systems, emphasizing how structural motifs such as wettability gradients, directional transport, and hierarchical porosity have been translated into engineered fog‐collection and vapor‐sorption strategies for enhanced water uptake, accelerated transport, and energy‐efficient ...
Yunchan Lee, Shouhong Fan, Shu Yang
wiley +1 more source
Latent Diffusion Models for Virtual Battery Material Screening and Characterization
Batteries &Supercaps, Volume 8, Issue 12, December 2025.A newly developed virtual tool is designed to enhance the extraction of meaningful information from characterization technique data and effectively guides the screening of target battery materials based on functional requirements. Efficient characterization of battery materials is fundamental to understanding the underlying electrochemical mechanisms ...
Deepalaxmi Rajagopal +3 more
wiley +1 more source
On sums and reciprocal sum of generalized fibonacci numbers [PDF]
, 2014 The purpose of this report is to analyze the properties of Fibonacci numbers modulo a Lucas numbers. Any Fibonacci number, except the first two, is the sum of the two immediately preceding Fibonacci numbers and closely related to Fibonacci numbers are ...
Mandal, B P
core
Closed formulas for finite sums of weighted fractional generalized fibonacci products [PDF]
, 2018 © 2018 Fibonacci Association. All rights reserved. In this paper, we present closed formulas for finite sums of fractions involving weighted products of generalized Fibonacci numbers. There are two significant features that characterize the main results.
Melham, RS
core
On the alternating sums of reciprocal generalized Fibonacci numbers
, 2022 In this paper, we consider finite alternating sums derived from the generalized Fibonacci numbers Sigma(mn)(k=n)(-1)(k)/U-k, Sigma(mn)(k=n)(-1)(k)/U-2k and Sigma(mn)(k=n)(-1)(k)/U2k-1, where m and n are positive integers with m >= 2, n >= 2. Applying the
Kuzuoglu, Gokhan +1 more
core +1 more source
A determinant of generalized Fibonacci numbers
Journal of Combinatorics and Number Theory, 2012 We evaluate a determinant of generalized Fibonacci numbers, thus providing a common generalization of several determinant evaluation results that have previously appeared in the literature, all of them extending Cassini's identity for Fibonacci numbers.
Krattenthaler, Christian +1 more
openaire +3 more sources
A Combinatorial Interpretation of the Generalized Fibonacci Numbers
Advances in Applied Mathematics, 1997 The author considers the Fibonacci numbers of order \(k\), i.e., the numbers \(F^{(k)}_n\) defined by the recurrence relation \(F^{(k)}_{n+ k}= F_{n+k-1}^{(k)}+ F_{n+ k-2}^{(k)}+\cdots+ F_{n+1}^{(k)}+ F^{(k)}_n\) and, as in \textit{D. E. Knuth} [The art of computer programming, Vol. 3, Addison-Wesley (1974; Zbl 0302.68010)], by the initial conditions \(
openaire +3 more sources
Sums Related to the Generalized Fibonacci and the Generalized k-Fibonacci Numbers
, 2022 This study consists of three parts, in the first part the basic concepts related to the subjects are mentioned, in the second part some results related to Generalized Fibonacci numbers are discussed, in the third part some identities and results ...
Teke, Mustafa
core
On the Generalized Order-$k$ Fibonacci and Lucas Numbers
Rocky Mountain Journal of Mathematics, 2006 In this paper we consider the generalized order-k Fibonacci and Lucas numbers. We give the generalized Binet formula, combinatorial representation and some relations involving the generalized order-k Fibonacci and Lucas numbers.
Kiliç, Emrah, Taşci, Dursun
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Generalization of the Distance Fibonacci Sequences
AxiomsIn this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties ...
Nur Şeyma Yilmaz +2 more
doaj +1 more source