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DNA solution of integer linear programming

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Shiying, Yang, Aiming
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Integer Solutions of Binomial Coefficients

The Mathematics Teacher, 2016
Context and underlying structure explain why the formula for binomial coefficients always produces an integer ...
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Integer Solutions to Box Optimization Problems

The College Mathematics Journal, 2014
SummaryTwo approaches contribute to the problem of finding integer side-lengths for open rectangular and polygonal boxes that optimize volume.
Coll, Vincent   +5 more
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A DIOPHANTINE EQUATION AND ITS POSITIVE INTEGER SOLUTIONS

JP Journal of Algebra, Number Theory and Applications, 2022
Summary: In 2017, the Diophantine equation (*) \(\frac1x + \frac1y + \frac1z = \frac1{3p}\) was preliminarily discussed in [the author and \textit{Jiagui Luo}, AIMS Math. 2, No. 1, 111--127 (2017; Zbl 1425.11061)]. The positive integer solutions of some equations derived from (*) were solved, where \(p= 661\). In this paper, the equation (*) is further
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Integer Solutions via Goal Programming to Hierarchical Systems

OPSEARCH, 2000
Decision making to a hierarchical system is a difficult task in general, if several levels and large number of decision variables are involved in a system. The difficulty further increases if some or all the decision variables are restricted to discrete values. To this end Goal Programming provides a suitable answer.
Sinha, Surabhi, Biswal, M. P.
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CHO DECOMPOSITION OF ONE-HALF INTEGER MONOPOLES SOLUTIONS

International Journal of Modern Physics A, 2013
We performed the Cho decomposition of the SU(2) Yang–Mills–Higgs gauge potentials of the finite energy (1) one-half monopole solution and (2) the one and a half monopoles solution into Abelian and non-Abelian components. We found that the semi-infinite string singularity in the gauge potentials is a contribution from the Higgs field of the one-half ...
Teh, Rosy   +2 more
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On Integer Solutions to Linear Equations

Annals of Combinatorics, 2008
A magic square is an n × n matrix with non-negative integer entries, such that the sum of the entries in each row and column is the same. We study the enumeration and P-recursivity of these in the case in which the sum along each row and column is fixed, with the size n of the matrix as the variable.
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EXACT SOLUTIONS OF RECTANGULAR PARTITIONS VIA INTEGER PROGRAMMING

International Journal of Computational Geometry & Applications, 2000
Given a rectangle R in the plane and a finite set P of points in its interior, consider the partitions of the surface of R into smaller rectangles. A partition is feasible with respect to P if each point in P lie on the boundary of some rectangle of the partition.
de Meneses, Cláudio N.   +1 more
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Optimal Integer Solutions to Industrial Cutting Stock Problems

INFORMS Journal on Computing, 1999
The “textbook” treatment of the cutting stock problem, using a method termed column generation, solves the problem as if one is allowed to use fractional amounts of patterns. In practice, one can typically run only an integer quantity of a pattern. Dyckhoff was the first to propose an integer linear programming formulation for the problem of getting a
Degraeve, Zeger, Schrage, Linus
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Positive integer solutions of some Diophantine equations in terms of integer sequences

Afrika Matematika, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Refik Keskin, Zafer Şiar
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