Results 121 to 130 of about 51,391 (253)
SOME LINKS OF BALANCING AND COBALANCING NUMBERS WITH PELL AND ASSOCIATED PELL NUMBERS
Links of balancing and cobalancing numbers with Pell and associated Pell numbers are established. It is proved that the nth balancing number is product of the nth Pell number and the nth associated Pell number.
G. K. Panda, Prasanta Kumar Ray
core
On balancing and Lucas-balancing numbers expressible as product of two $k$-Fibonacci numbers
A positive integer $n$ is called a balancing number if there exists a positive integer $r$ such that $1 + 2 + \cdots + (n-1) = (n+1) + (n+2) + \cdots + (n+r)$. The corresponding value $r$ is known as the balancer of $n$. If $n$ is a balancing number, then $8n^{2}+1$ is a perfect square, and its positive square root is called a Lucas-balancing number ...
Tripathy, Bibhu Prasad +1 more
openaire +2 more sources
ABSTRACT The aim of this study is to examine the effect of participation in the virtual reality‐based environmental education (VRBEE) program on the creative problem‐solving (CPS) skills of middle school students in Turkey. The research was conducted with 125 students from a public middle school, and their CPS skills were assessed using a pre‐test–post‐
Fatih Pala
wiley +1 more source
Ancient regulatory evolution shapes individual language abilities in present-day humans. [PDF]
Casten LG +10 more
europepmc +1 more source
DSGE Model Forecasting: Rational Expectations Versus Adaptive Learning
ABSTRACT This paper compares within‐sample and out‐of‐sample fit of a DSGE model with rational expectations to a model with adaptive learning. The Galí, Smets, and Wouters model is the chosen laboratory using quarterly real‐time euro area data vintages, covering 2001Q1–2019Q4.
Anders Warne
wiley +1 more source
Caring Across Generations: The Urgent Need to Support Young Carers in Canada's Aging Population. [PDF]
Perri LX +3 more
europepmc +1 more source
Planned harvesting and processing of marine macroalgae could meet future global food needs and mitigate fuel‐originated carbon dioxide responsible for climate change. Microalgal foods are nutritious and safe. The utilization of macroalgae would avoid environmental problems arising from the release of overgrowing macroalgae caused by heatwaves, which ...
Upali Samarajeewa
wiley +1 more source
Single cell analysis of muscle contracture in cerebral palsy reveals profibrotic and antimyogenic stem cell populations with altered cell-cell interactions. [PDF]
Stewart MW +10 more
europepmc +1 more source
This paper highlights a concerning scenario of environmental contamination by multidrug‐resistant bacteria, underscoring the need for integrated surveillance and control strategies to address antimicrobial resistance in aquatic environments within the context of One Health.
Francisco Lucas de Amorim Nascimento +13 more
wiley +1 more source
Antioxidant Bio-Based and Biodegradable Polymer Films for Sustainable Food Packaging. [PDF]
Gomes MLS +4 more
europepmc +1 more source

