Results 21 to 30 of about 607,966 (294)
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
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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
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On the properties of k-balancing numbers
Ain Shams Engineering Journal, 2018 In this study, a generalization of the sequence of balancing numbers called as k-balancing numbers is considered and some of their properties are established.
Prasanta Kumar Ray
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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
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A High-Performance Triple Patterning Layout Decomposer with Balanced Density [PDF]
, 2013 Triple patterning lithography (TPL) has received more and more attentions from industry as one of the leading candidate for 14nm/11nm nodes. In this paper, we propose a high performance layout decomposer for TPL.
Ding, Duo +5 more
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An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers [PDF]
, 2018 In this paper, we find all solutions of the exponential Diophantine equation $B_{n+1}^x-B_n^x=B_m$ in positive integer variables $(m, n, x)$, where $B_k$ is the $k$-th term of the Balancing sequence.Comment: Comments are ...
Faye, Bernadette +3 more
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Balancing and Lucas-balancing Numbers With Real Indices [PDF]
, 2015 In this thesis, we have studied the balancing and Lucas-balancing numbers for real indices. Also we have discussed some properties of balancing numbers with real numbers.
Tanty, Sephali
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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 +2 more
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Almost repdigits in balancing and Lucas-balancing sequences [PDF]
Notes on Number Theory and Discrete MathematicsIn 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
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Indagationes Mathematicae, 2009 A positive integer \(x\) is called a \((k,\ell)\)--balancing number for \(y\) (where \(x\leq y-2\)) if \[ 1^k+2^k+\cdots + (x-1)^k = (x+1)^\ell + \cdots+(y-1)^\ell , \] for fixed positive integers \(k\) and \(\ell\). In this paper, the authors prove some effective and ineffective finiteness statements for balancing numbers, using certain Baker-type ...
Liptai, Kálmán +3 more
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