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JCT
1998
70views more  JCT 1998»
13 years 9 months ago
Partitions into Distinct Parts and Elliptic Curves
Let Q(N) denote the number of partitions of N into distinct parts. If ω(k) := 3k2 +k 2 , then it is well known that Q(N) + ∞X k=1 (−1)k “ Q(N − 2ω(k)) + Q(N − 2ω(−k)...
Ken Ono
KI
2002
Springer
13 years 9 months ago
Formal Properties of Constraint Calculi for Qualitative Spatial Reasoning
In the previous two decades, a number of qualitative constraint calculi have been developed, which are used to represent and reason about spatial configurations. A common property...
Bernhard Nebel, Alexander Scivos
MOC
2002
118views more  MOC 2002»
13 years 8 months ago
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension
Dimensionally unbounded problems are frequently encountered in practice, such as in simulations of stochastic processes, in particle and light transport problems and in the problem...
Fred J. Hickernell, Xiaoqun Wang
MP
2002
176views more  MP 2002»
13 years 8 months ago
UOBYQA: unconstrained optimization by quadratic approximation
UOBYQA is a new algorithm for general unconstrained optimization calculations, that takes account of the curvature of the objective function, F say, by forming quadratic models by ...
M. J. D. Powell
MP
2002
195views more  MP 2002»
13 years 8 months ago
Nonlinear rescaling vs. smoothing technique in convex optimization
We introduce an alternative to the smoothing technique approach for constrained optimization. As it turns out for any given smoothing function there exists a modification with part...
Roman A. Polyak
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