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» On the Diophantine equation |axn - byn | = 1
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ISCAS
2007
IEEE
135views Hardware» more  ISCAS 2007»
16 years 7 days 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»
15 years 11 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
15 years 11 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
15 years 11 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