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» Solution of a system of linear equations with fuzzy numbers
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97
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MOC
1998
147views more  MOC 1998»
15 years 3 days 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
107
Voted
GCB
2004
Springer
101views Biometrics» more  GCB 2004»
15 years 5 months ago
Kleene's Theorem and the Solution of Metabolic Carbon Labeling Systems
: Carbon Labeling Systems (CLS) are large equation systems that describe the dynamics of labeled carbon atoms in a metabolic network. The rapid solution of these systems is the alg...
Nicole Isermann, Michael Weitzel, Wolfgang Wiecher...
87
Voted
MP
2006
93views more  MP 2006»
15 years 12 days ago
Computation of Error Bounds for P-matrix Linear Complementarity Problems
Abstract We give new error bounds for the linear complementarity problem where the involved matrix is a P-matrix. Computation of rigorous error bounds can be turned into a P-matrix...
Xiaojun Chen, Shuhuang Xiang
105
Voted
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
14 years 11 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
QEST
2006
IEEE
15 years 6 months ago
On Single-Class Load-Dependent Normalizing Constant Equations
Normalizing constant recurrence equations play an important role in the exact analysis of load-independent (LI) product-form queueing networks. However, they have not been extende...
Giuliano Casale