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MOC
2000
104views more  MOC 2000»
13 years 10 months ago
On the solutions of a family of quartic Thue equations
In this paper, we solve a certain family of diophantine equations associated with a family of cyclic quartic number fields. In fact, we prove that
Alain Togbé
EPIA
1993
Springer
14 years 2 months ago
Fast Methods for Solving Linear Diophantine Equations
We present some recent results from our research on methods for finding the minimal solutions to linear Diophantine equations over the naturals. We give an overview of a family of...
Miguel Filgueiras, Ana Paula Tomás
CSB
2005
IEEE
135views Bioinformatics» more  CSB 2005»
14 years 4 months ago
Inverse Design of Large Molecules using Linear Diophantine Equations
We have previously developed a method [1] for the inverse design of small ligands. This method can be used to design novel compounds with optimized properties (such as drugs) and ...
Shawn Martin, W. Michael Brown, Jean-Loup Faulon, ...
SYNASC
2008
IEEE
266views Algorithms» more  SYNASC 2008»
14 years 5 months ago
On Computing Solutions of Linear Diophantine Equations with One Non-linear Parameter
We present an algorithm for solving Diophantine equations which are linear in the variables, but non-linear in one parameter. This enables us to compute data dependences in more ge...
Armin Größlinger, Stefan Schuster