Results 61 to 70 of about 3,260,729 (219)

Pell Leonardo numbers and their matrix representations

Journal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj   +1 more source

The Generating Functions for Special Pringsheim Continued Fractions

Communications in Advanced Mathematical Sciences, 2020
In previous works, some relations between Pringsheim continued fractions and vertices of the paths of minimal length on the suborbital graphs $\mathrm{\mathbf{F}}_{u,N}$ were investigated.
Ali Hikmet Değer, Ümmügülsün Akbaba
doaj   +1 more source

Balances in the Set of Arithmetic Progressions

Axioms, 2021
This article focuses on searching and classifying balancing numbers in a set of arithmetic progressions. The sufficient and necessary conditions for the existence of balancing numbers are presented.
Chan-Liang Chung, Chunmei Zhong, Kanglun Zhou   +2 more
doaj   +1 more source

The Properties of the Altered Pell and Pell Lucas Sequences

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The altered Pell and Pell Lucas sequences are defined by altering the Pell and Pell Lucas numbers, it is seen that they have similar properties to usual the Pell and Pell Lucas sequences. Thus, we study some recursive properties of the altered sequences. Further, the greatest common divisors (i.e.
openaire   +2 more sources

On Generalizations of the Pell Sequence

, 2017
In this paper, we investigate the generalized Pell sequence, the generalized complex Pell sequence and the generalized dual Pell sequence using the Pell numbers. We obtain special cases of these sequences. Furthermore, we give recurrence relations, vectors, the silver ratio and Binet's formula for the above-investigated sequences.
KÖKLÜ, KEVSER, TORUNBALCI AYDIN, FÜGEN   +1 more
openaire   +3 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

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). This paper also explores the fractional Pell–Lucas numbers and their properties.Due to the long-term memory property, fractional Pell sequences and fractional Pell–Lucas ...
Jagan Mohan Jonnalagadda, Marius-F. Danca   +1 more
openaire   +2 more sources

Analysing policy success and failure in Australia: Pink batts and set‐top boxes

Australian Journal of Public Administration, EarlyView.
Abstract This article examines two Australian government programs from the Rudd/Gillard Labor government, the Home Insulation Program (HIP) and the Digital Switchover Household Assistance Scheme (HAS). Both became shibboleths of the Labor government's perceived waste and incompetence.
Daniel Casey
wiley   +1 more source

Agroecology and Transformative Adaptation to Climate Change

Asia Pacific Viewpoint, EarlyView.
ABSTRACT This paper examines transformative adaptation to climate change through the EFICAS Project (Eco‐Friendly Intensification and Climate‐resilient Agricultural Systems) implemented across 12 upland communities in northern Laos from 2014 to 2020.
Jean‐Christophe Castella
wiley   +1 more source

Mersenne-Horadam identities using generating functions

Karpatsʹkì Matematičnì Publìkacìï, 2020
The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
doaj   +1 more source