Erik Postma
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View article: The Multivariate Power Series Package in Maple 2024.
The Multivariate Power Series Package in Maple 2024. Open
While symbolic computation is the realm of exact methods, this field was able to develop solutions to approximate problems, which can be used to provide approximate answers to problems that are either intractable or too expensive to solve …
View article: The Extended Watson—Wong—Wyman Lemma in Maple
The Extended Watson—Wong—Wyman Lemma in Maple Open
Watson's lemma is a famous technique for approximate evaluation of integrals with a large parameter. It's easy to implement in Maple, but there's a surprise: Maple's implementation is actually stronger than the lemma, because int and serie…
View article: Laurent Series and Puiseux Series in Maple
Laurent Series and Puiseux Series in Maple Open
Let K be an algebraically closed field of characteristic zero. The field of fractions of the ring of formal multivariate power series over K, is called the field of formal multivariate Laurent series. In this document, we follow the ideas …
View article: Substituting Units into Multivariate Power Series
Substituting Units into Multivariate Power Series Open
Substituting non-unit formal power series into formal power series is a well-understood concept. This article describes a sense in which one can define substitution of unit formal power series, implemented in Maple’s MultivariatePowerSerie…
View article: A Maple implementation of a modular algorithm for computing the common zeros of a polynomial and a regular chain
A Maple implementation of a modular algorithm for computing the common zeros of a polynomial and a regular chain Open
One of the core commands in the RegularChains library isTriangularize. The underlying decomposes the solution set of anpolynomial system into geometrically meaningful components representedby regular chains. This algorithm works by repeate…
View article: Multivariate Power Series in Maple
Multivariate Power Series in Maple Open