ARTICLES

Filter  
Active filters 0
Remove
  

Refine your searches by:

Collections
Education
Social Sciences
Economy
Technology
Mathematics
Law
Agronomy and forestry
Biology
Architecture and Urbanism
Computing
all records (72)

Languages
English
Portuguese
Spanish
German
French

Countries
Indonesia
Brazil
USA
Germany
Ukraine
Australia
Romania
South Africa
Turkey, Turkish Republic
Russia
all records (72)

Years
2023
2022
2021
2020
2019
2018
2017
2016
2015
2014
all records (24)

Filter  
 
81.873  Articles
1 of 8.188 pages  |  10  records  |  more records»
Balancing numbers n and balancers r are originally dened as the solution of the Diophantine equation 1 + 2 + ... + (n - 1) = (n + 1) + (n + 2) + ... + (n + r). If n is a balancing number, then 8n^2 +1 is a perfect square. Further, If n is a balancin... see more

We derive some sum formulas for the squares of Pell and Pell-Lucas numbers. We construct Hankel-Hessenberg andToeplitz-Hessenberg matrices whose entries in the first column are HHP = aij , ij i j a P = ; Q HH =   ij a , ij i j a Q =and P... see more

Let G = (V(G), E(G)) be a path of order n = 1. Let fm(G) be a path with m = 0 independent dominating vertices which follows a Fibonacci string of binary numbers where 1 is the dominating vertex. A set F(G) contains all possible fm(G), m = 0, having the c... see more

In this paper, we find some formulas for finding some special sums of the k-Fibonacci or the k-Lucas numbers. We find also some formulas that relate the k-Fibonacci or the k--Lucas numbers to some sums of these numbers..

We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations of... see more

We continue our study on relationships between Bernoulli polynomials and balancing (Lucas-balancing) polynomials. From these polynomial relations, we deduce new combinatorial identities with Fibonacci (Lucas) and Bernoulli numbers. Moreover, we prove a sp... see more

In 2016, Yüce and Torunbalci Aydin (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third... see more

The essential idea in this paper it to generalize and synthesize some of the pioneering ideas of Bernstein, Lucas and Horadam on generalizations of basic and primordial Fibonacci numbers and their arbitrary order generalizations and their relation to gene... see more

The purpose of this study was to explore the method for designing the toilet siphon pipe shape to improve flushing performance. The Fibonacci sequence and the Lucas sequence were used to design the structural parameters of the siphon pipe. The flushing pr... see more

1 of 8.188 pages  |  10  records  |  more records»