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Balancing and Lucas-balancing numbers which are concatenation of three repdigits
In this paper, we show that 204 and 1189 are the only balancing numbers which are concatenation of three repdigits and that 3363 is the only...
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Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers
In this paper, we introduce the k -balancing and k -Lucas balancing octonions and hyperbolic octonions. We give Binet type formulas of them and obtain...
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Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers
In this study we have tackled with some nonlinear identities and Diophantine equations related to balancing-like and Lucas-balancing-like numbers....
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Dynamic Load Balancing Using Adaptive Locally Refined Meshes
AbstractMethods for representing and processing algorithms for dynamically adaptive locally refined meshes are proposed for serial and parallel...
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Balancing Numbers as Sum of Same Power of Consecutive Balancing Numbers
In this paper, we find all the balancing numbers which are sum of same power of consecutive balancing numbers. For this, we find all the solutions of...
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Some Identities for Balancing and Lucas-Balancing Numbers in Bidimensional Version
Several number sequences have been studied for many researchers, most of times in their unidimensional version. Our main goal is to study the... -
Higher balancing for tropical manifolds
In this text, we show that the local polyhedral structure of tropical manifolds given by its charts satisfies higher balancing conditions at all...
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Dynamic Load Balancing with the Parallel Partitioning Tool GridSpiderPar
AbstractDynamic adaptive meshes are often used in high-performance computing. A mesh is locally refined or derefined in spots of interest or where...
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Ratio Balancing Numbers
Balancing numbers were introduced by Behera and Panda while investigating when the sum of two triangular numbers is a triangular number. We introduce... -
Automatic balancing parameter selection for Tikhonov-TV regularization
This paper considers large-scale linear ill-posed inverse problems whose solutions can be represented as sums of smooth and piecewise constant...
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Machine Load Balancing Game with Linear Externalities
AbstractThe machine load balancing game with linear externalities is considered. A set of jobs is to be assigned to a set of machines with different...
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Powers of Two as Sums of Two Balancing Numbers
The sequence of balancing numbers \((B_n)_{n\ge 1}\) is... -
Dynamic Load Balancing of a Coupled Lagrange Particle Tracking Solver for Direct Injection Engine Application
A dynamic load balancing technique for multiphysics simulation methods based on hierarchical Cartesian meshes for a direct injection internal... -
Balancing Polynomials, Fibonacci Numbers and Some New Series for \(\pi \)
We evaluate some types of infinite series with balancing and Lucas-balancing polynomials in closed form. These evaluations will lead to some new...
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Mathematical model and a variable neighborhood search algorithm for mixed-model robotic two-sided assembly line balancing problems with sequence-dependent setup times
Human labor is generally being replaced with robots for high automation, increased flexibility, and reduced costs in modern industry. Few studies...