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Bounding and estimating an exceedance probability in output from monotonous computer codes
Exceedance probability Computer code Input uncertainty
2011/1/18
This article deals with the estimation of a probability pf of an undesirable event. Its occurence is formalized by the exceedance of a threshold reliability value by the unidimensional output of a com...
Computer Generated Images for Quadratic Rational Maps with a Periodic Critical Point
rational map complex dynamics plane curve singularities geometric
2010/12/8
We describe an algorithm for distinguishing hyperbolic compo-nents in the parameter space of quadratic rational maps with a periodic critical point. We then illustrate computer images of the hyperboli...
UNIVARIATE ORE POLYNOMIAL RINGS IN COMPUTER ALGEBRA
UNIVARIATE POLYNOMIAL RINGS COMPUTER ALGEBRA
2013/9/3
We present some algorithms related to rings of Ore polynomials (or, briefly, Ore rings) and describe a computer algebra library for basic operations in an arbitrary Ore ring. The library can be used a...