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» On the Diophantine equation |axn - byn | = 1
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ISCAS
2007
IEEE
135views Hardware» more  ISCAS 2007»
13 years 10 months ago
Diophantine Frequency Synthesis The Mathematical Principles
— Diophantine Frequency Synthesis1 is a new approach to fine-step and fast-hopping frequency synthesis that is based on mathematical properties of integer numbers and Diophantin...
Paul-Peter Sotiriadis
CSB
2005
IEEE
135views Bioinformatics» more  CSB 2005»
13 years 9 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, ...
LPAR
2005
Springer
13 years 9 months ago
Comparative Similarity, Tree Automata, and Diophantine Equations
The notion of comparative similarity ‘X is more similar or closer to Y than to Z’ has been investigated in both foundational and applied areas of knowledge representation and r...
Mikhail Sheremet, Dmitry Tishkovsky, Frank Wolter,...
FOCS
2002
IEEE
13 years 8 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich