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MOC
1998
147views more  MOC 1998»
15 years 2 months ago
On the Diophantine equation |axn - byn | = 1
If a, b and n are positive integers with b ≥ a and n ≥ 3, then the equation of the title possesses at most one solution in positive integers x and y, with the possible exceptio...
Michael A. Bennett, Benjamin M. M. de Weger
87
Voted
CAGD
1998
48views more  CAGD 1998»
15 years 3 months ago
Intersection approach to multi-point machining of sculptured surfaces
Five-axis machining of sculptured surfaces is gaining wider acceptance in many industries. This paper examines the potential of a new tool positioning strategy where the desired s...
Andrew Warkentin, Fathy Ismail, Sanjeev Bedi
COMBINATORICS
1998
130views more  COMBINATORICS 1998»
15 years 3 months ago
Codes and Projective Multisets
The paper gives a matrix-free presentation of the correspondence between full-length linear codes and projective multisets. It generalizes the BrouwerVan Eupen construction that t...
Stefan M. Dodunekov, Juriaan Simonis
MOC
1998
98views more  MOC 1998»
15 years 2 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
ECAI
1998
Springer
15 years 7 months ago
Algebraic Topology for Knowledge Representation in Analogy Solving
We propose a computational model for analogy solving based on a topological formalism of representation. The source and the target analogs are represented as simplexes and the anal...
Erika Valencia, Jean-Louis Giavitto, Jean-Paul San...