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On Balancing Quaternions and Lucas-Balancing Quaternions

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
In this paper we define and study balancing quaternions and Lucas-balancing quaternions. We give the generating functions, matrix generators and Binet formulas for these numbers. Moreover, the well-known properties e.g. Catalan, d’ Ocagne identities have
Bród Dorota
doaj   +5 more sources

Dynamic Demand-Capacity Balancing for Air Traffic Management Using Constraint-Based Local Search: First Results [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2009
Using constraint-based local search, we effectively model and efficiently solve the problem of balancing the traffic demands on portions of the European airspace while ensuring that their capacity constraints are satisfied.
Farshid Hassani Bijarbooneh   +2 more
doaj   +4 more sources

Coding theory on the generalized balancing sequence [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2022
In this paper, we introduce the generalized balancing sequence and its matrix. Then by using the generalized balancing matrix, we give a coding and decoding method.
Elahe Mehraban, Mansour Hashemi
doaj   +1 more source

On Harmonic Complex Balancing Numbers

open access: yesMathematics, 2022
In the present work, we define harmonic complex balancing numbers by considering well-known balancing numbers and inspiring harmonic numbers. Mainly, we investigate some of their basic characteristic properties such as the Binet formula and Cassini ...
Fatih Yılmaz   +2 more
doaj   +1 more source

Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
In this work, the general terms of almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers.
Ahmet Tekcan, Esra Zeynep Türkmen
doaj   +1 more source

Three-Color Balancing for Color Constancy Correction

open access: yesJournal of Imaging, 2021
This paper presents a three-color balance adjustment for color constancy correction. White balancing is a typical adjustment for color constancy in an image, but there are still lighting effects on colors other than white. Cheng et al.
Teruaki Akazawa   +3 more
doaj   +1 more source

Simulation Verification of Balancing System Based on Number of Cells

open access: yesCommunications, 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

Classes of gap balancing numbers [PDF]

open access: yesRocky Mountain Journal of Mathematics, 2021
14 ...
Bartz, Jeremiah   +2 more
openaire   +3 more sources

On $k$-Fibonacci balancing and $k$-Fibonacci Lucas-balancing numbers

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
The balancing number $n$ and the balancer $r$ are solution of the Diophantine equation $$1+2+\cdots+(n-1) = (n+1)+(n+2)+\cdots+(n+r). $$ It is well known that if $n$ is balancing number, then $8n^2 + 1$ is a perfect square and its positive square root is
S.E. Rihane
doaj   +1 more source

Balancing redox equations through zero oxidation number method

open access: yesChemistry Teacher International, 2022
Many high school students and first-year undergraduate students find it difficult to balance redox reactions. A method using zero oxidation number to balance redox equations is presented herein.
Zheng Shengping
doaj   +1 more source

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