Results 61 to 70 of about 51,391 (253)
A Self‐Driving Lab for Solution‐Processed Electrochromic Thin Films
Advanced Intelligent Systems, EarlyView.A self‐driving laboratory accelerates the development of solution‐processed electrochromic thin films. By coupling machine learning with robotic fabrication and characterization, this closed‐loop platform systematically navigates complex processing parameters.
Selma Dahms +7 more
wiley +1 more source
SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS [PDF]
, 2017 WOS: 000401308200018In this work we deduce some new algebraic relations on balancing numbers and their relationships with Pell, Pell-Lucas and oblong numbers.
Tekcan, Ahmet +2 more
core +1 more source
On Some Identities and Symmetric Functions for Balancing Numbers
Journal of New Theory, 2018 In this paper, we derivenew generating functions of the product of balancing numbers, Lucas balancingnumbers and the Chebychev polynomials of the second kind by making use ofuseful properties of the symmetric functions mentioned in the paper.
Ali Boussayoud
doaj
A Generalization of Gaussian Balancing and Gaussian Balancing-Lucas Numbers With Applications
International Journal of Mathematics and Mathematical SciencesIn this paper, we study a generalization of Gaussian balancing and Gaussian Lucas-balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties.
T. Al-Asoully, A. Al-Kateeb
doaj +1 more source
Lost in aggregation? On the importance of local food price data for food poverty estimates
American Journal of Agricultural Economics, EarlyView.Abstract This paper explores within‐country variations in food price dynamics and food poverty estimates by employing local market price data and national consumer price index (CPI) data. Our results show that national CPI data may be useful for approximating national trends but they fail to detect and identify spatial variations in local trends, which
Stephan Dietrich +4 more
wiley +1 more source
GAUSSIAN BALANCING NUMBERS AND GAUSSIAN LUCAS-BALANCING NUMBERS
, 2018 In this study we define Gaussian balancing numbers and Gaussian Lucas-balancing numbers. Then we obtain Binet-like formulas, generating functions and some identities related with Gaussian balancing numbers and Gaussian Lucas-balancing numbers.
TAŞCI, DURSUN
core
American Journal of Botany, EarlyView.Abstract Premise The species‐rich flora of Tropical Andes underwent multiple rapid and recent diversifications, yet resolving their evolutionary histories remains challenging despite increasing phylogenomic data. Here, we examined phylogenomic conflict in Brachyotum (Melastomataceae) to identify sources preventing its resolution.
Diego Paredes‐Burneo +5 more
wiley +1 more source
Generalized Balancing and Balancing-Lucas numbers
In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility ...
Al-Zoubi, Hasan, Al-Kateeb, Alaa
core +1 more source
SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS
, 2021 In this work we deduce some new algebraic relations on balancing numbers and their relationships with Pell, Pell-Lucas and oblong numbers. Also we formulate the sums of balancing, Pell and Pell-Lucas numbers in terms of balancing numbers.
Gozeri, Gül, Ozkoc, Arzu, Tekcan, Ahmet
core
, 2011 In this paper, with the help of orthogonal polynomial especially Chybeshev polynomials of first and second kind, number theory and linear algebra intertwined to yield factorization of the balancing and Lucas-balancing ...
P. Ray
semanticscholar +1 more source