Results 51 to 60 of about 20,503 (203)

Balancing numbers : some identities [PDF]

, 2014
This paper studies a problem in the theory of figurate numbers identifying and investigating those numbers which are polygonal in two ways - triangular and square.
Parida, Kaberi
core  

Multi-variable Polynomial Solutions to Pell's Equation and Fundamental Units in Real Quadratic Fields

, 2018
For each positive integer $n$ it is shown how to construct a finite collection of multivariable polynomials $\{F_{i}:=F_{i}(t,X_{1},..., X_{\lfloor \frac{n+1}{2} \rfloor})\}$ such that each positive integer whose squareroot has a continued fraction ...
Bernstein, Bernstein, J. Mc Laughlin, Levesque, Schinzel, Schinzel, van der Poorten, van der Poorten   +7 more
core   +1 more source

Silver‐Alloyed Wide‐Bandgap (Ag,Cu)(In,Ga)S2 Thin‐Film Solar Cells With 15.5% Efficiency

Progress in Photovoltaics: Research and Applications, EarlyView.
This study reports improvements in compositional homogeneity, microstructure, enhanced radiative recombination, and extended carrier lifetime of CIGS absorber via Ag incorporation. The optimal Ag‐alloyed CIGS solar cells achieve 15.5% PCE and 948 mV VOC, competing with the VOC of the Ag‐free reference sample from the same batch.
Yucheng Hu, Ece Washbrook, Arivazhagan Valluvar Oli, Andrea Griesi, Yurii P. Ivanov, Mariam Pelling, Simon M. Fairclough, Kulwinder Kaur, Michele Melchiorre, Adam Hultqvist, Tobias Törndahl, Wolfram Hempel, Wolfram Witte, Giorgio Divitini, Susanne Siebentritt, Rachel A. Oliver, Gunnar Kusch   +16 more
wiley   +1 more source

Pell and Pell–Lucas Sequences of Fractional Order

Fractal and Fractional
The purpose of this paper is to introduce the fractional Pell numbers, together with several properties, via a Grünwald–Letnikov fractional operator of orders q∈(0,1) and q∈(1,2).
Jagan Mohan Jonnalagadda, Marius-F. Danca   +1 more
doaj   +1 more source

Generating pairing-friendly elliptic curve parameters using sparse families

Journal of Mathematical Cryptology, 2018
The majority of methods for constructing pairing-friendly elliptic curves are based on representing the curve parameters as polynomial families. There are three such types, namely complete, complete with variable discriminant and sparse families. In this
Fotiadis Georgios, Konstantinou Elisavet
doaj   +1 more source

Simultaneous Pell equations x2 - my2 = 1 and y2 - pz2 = 1 [PDF]

, 2017
Pell equation is a special type of Diophantine equations of the form x2 − my2 = 1, where m is a positive non-square integer. Since m is not a perfect square, then there exist infinitely many integer solutions (x, y) to the Pell equation.
Mohamad Johari, Mohamad Aidil, Sapar, Siti Hasana, Sihabudin, Nurul Amirah   +2 more
core  

A Methodological Pathway for Supporting the Transition From Theory to Practice in Action‐Oriented Research for Transformative Change

Sustainable Development, EarlyView.
ABSTRACT Over recent decades, action‐oriented research has gained prominence in co‐producing actionable knowledge to drive transformative change toward sustainability. However, further methodological developments are needed to support the transition to the application phase of such knowledge.
María D. López‐Rodríguez, Amanda Jiménez‐Aceituno, Enrica Garau, Cristina Quintas‐Soriano, Juan Miguel Requena‐Mullor, Lena Rölfer, María Mancilla García, Antonio J. Castro   +7 more
wiley   +1 more source

Simultaneous Pell equations [PDF]

Acta Arithmetica, 2004
The positive integer solutions \((x, y, z)\) of some special forms of simultaneous Diophantine equations \(ax^2 - bz^2 = \delta_1, cy^2 - dz^2 = \delta_2\) are investigated. Here \(a, b, c\) and \(d\) are positive integers, \(\delta_1\) and \(\delta_2\) are integers such that \(\gcd(ab, \delta_1) = \gcd(cd, \delta_2) = 1\).
openaire   +2 more sources

Integrating multimodal data and machine learning for entrepreneurship research

Strategic Entrepreneurship Journal, EarlyView.
Abstract Research Summary Extant research in neuroscience suggests that human perception is multimodal in nature—we model the world integrating diverse data sources such as sound, images, taste, and smell. Working in a dynamic environment, entrepreneurs are expected to draw on multimodal inputs in their decision making.
Yash Raj Shrestha, Vivianna Fang He
wiley   +1 more source

Exploring the impacts of instructional modality in introductory statistics

Teaching Statistics, EarlyView.
Abstract The academic experiences at colleges and universities were significantly disrupted by the coronavirus disease 2019 pandemic with notable impacts on student learning, engagement, and success. We explore its effect on academic performance and student interaction at a mid‐sized public institution in the southeastern United States.
Lindsey Bell, Paul Hill, Keshav Jagannathan, Nicholas Pritchard   +3 more
wiley   +1 more source