Results 81 to 90 of about 594,288 (306)
Some properties of the generalized (p,q)- Fibonacci-Like number
For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
doaj +1 more source
This study demonstrates that pulsed potential electrolysis significantly improves CO2 reduction performance on copper‐nitrogen doped carbon electrodes. The formation of cationic copper sites and metallic clusters as a function of applied intermittent potential leads to notable selectivity changes compared to potentiostatic reduction.
Dorottya Hursán+13 more
wiley +1 more source
We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle+2 more
doaj +1 more source
Repdigits as Euler functions of Lucas numbers
We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.
Bravo Jhon J.+3 more
doaj +1 more source
On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers
In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices Q=Cr((ba)ξ(1)2q0,(ba)ξ(2)2q1,(ba)ξ(3)2q2,…,(ba)ξ(n)2qn−1) $Q=C_{r} ( (\frac{b}{a} )^{\frac{\xi (1)}{2}}q_{0}, (\frac{b}{a} )^{\frac{\xi(2)}{2}}q_{1}, (
Cahit Köme, Yasin Yazlik
doaj +1 more source
Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
doaj +1 more source
About special elements in quaternion algebras over finite fields
In this paper we study special Fibonacci quaternions and special generalized Fibonacci-Lucas quaternions in quaternion algebras over finite fields.Comment: This is a preliminary form of the ...
Savin, Diana
core +1 more source
Most in vitro cancer models lack cellular diversity, functional complexity, and clinical relevance. This work highlights the generation of an innovative dynamic tetraculture with autologous patient‐derived cells within a vascularized tumor‐on‐chip, as well as the recapitulation of endothelial anergy features induced by the tumor microenvironment ...
Christine Lansche+16 more
wiley +1 more source
Differential Phase Contrast Imaging to Predict MSC Immune Function
This work employs quantitative differential phase contrast (qDPC) imaging technique to non‐invasively extract morphological features from live Mesenchymal Stromal Cells (MSCs) for single cell prediction on cell immunomodulatory capacity. This work establishes a foundation for scalable, non‐destructive monitoring of MSCs immunomodulatory capacity ...
Kejie Rui+5 more
wiley +1 more source
On Pell, Pell-Lucas, and balancing numbers [PDF]
In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the
openaire +4 more sources