Results 31 to 40 of about 84,298 (262)

On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers

Discussiones Mathematicae - General Algebra and Applications, 2020
In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.
Dutta Utkal Keshari, Ray Prasanta Kumar
doaj   +1 more source

Polygonal Balancing Numbers I

, 2022
See the abstract in the attached pdf.
Bartz, Jeremiah, Dearden, Bruce, Iiams, Joel   +2 more
openaire   +3 more sources

The Tribonacci-type balancing numbers and their applications [PDF]

Mathematica Moravica, 2023
N this paper, we define the Tribonacci-type balancing numbers via a Diophantine equation with a complex variable and then give their miscellaneous properties. Also, we study the Tribonacci-type balancing sequence modulo m and then obtain some interesting
Hulku Sakıne, Devec Ömür
doaj  

Solutions of the Diophantine Equations Br=Js+Jt and Cr=Js+Jt

Journal of Mathematics, 2023
Let Brr≥0, Jrr≥0, and Crr≥0 be the balancing, Jacobsthal, and Lucas balancing numbers, respectively. In this paper, the diophantine equations Br=Js+Jt and Cr=Js+Jt are completely solved.
Ahmed Gaber, Mohiedeen Ahmed
doaj   +1 more source

Almost Gap Balancing Numbers

Integers, 2018
See the abstract in the attached pdf.
Jeremiah Bartz, Bruce Dearden, Joel Iiams   +2 more
openaire   +4 more sources

Simulation Verification of Balancing System Based on Number of Cells

Communications, 2021
This paper deals with the simulation verification of balancing systems with different numbers of batteries. There is a simulation model of the battery with adjustable inputs and a simulation model of flyback converter. These components are interconnected
Marek Šimčák, Matúš Danko
doaj   +1 more source

Almost repdigits in balancing and Lucas-balancing sequences [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the balancing and Lucas-balancing sequences which are almost repdigits.
Manasi K. Sahukar, Hussain Basha
doaj   +1 more source

ON DUAL BICOMPLEX BALANCING AND LUCAS-BALANCING NUMBERS

Journal of Science and Arts, 2023
In this paper, dual bicomplex Balancing and Lucas-Balancing numbers are defined, and some identities analogous to the classic properties of the Fibonacci and Lucas sequences are produced. We give the relationship between these numbers and Pell and Pell-Lucas numbers.
MINE UYSAL, ENGIN ÖZKAN, ANTHONY G. SHANNON   +2 more
openaire   +1 more source

Generalized Balancing and Balancing-Lucas numbers

Proyecciones (Antofagasta)
In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility properties.
Al-Zoubi, Hasan, Al-Kateeb, Ala'a
openaire   +3 more sources

H-atom and O-atom methods: from balancing redox reactions to determining the number of transferred electrons

Chemistry Teacher International, 2022
Defining and balancing redox reaction requires both chemical knowledge and mathematical skills. The prevalent approach is to use the concept of oxidation number to determine the number of transferred electrons.
Yuen Pong Kau, Lau Cheng Man Diana
doaj   +1 more source