New integral transform techniques for computer algebra

在科学和工程中无处不在地开发和应用先进技术。为了满足这一需求，位于安大略省滑铁卢的Maplesoft公司生产了Maple，这是一种数学和数值编程语言，是全球领先的数学软件平台之一。它在国际上用于工业和学术界的研究，以及一种教育工具。滑铁卢大学的Achim Kempf教授（和他的合作者）最近的研究已经产生了强大的新集成技术。新方法允许人们将大的积分类简化为连续微分。这提供了强大的新方法，因为与以前的方法相比，微分非常适合在计算机算法中实现。在Maple软件引擎中实现这种新方法将大大提高计算速度，扩大Maple可计算的积分库，并为全世界的工程师和科学家提供强大的加拿大制造的新工具。

ubiquitously in the development and application of advanced technologies in science and engineering. To meetthis need, Maplesoft, based in Waterloo, Ontario, produces Maple, a mathematical and numerical programminglanguage that is one of the leading mathematical software platforms worldwide. It is used internationally forresearch in industry and academia, as well as an educational tool.Recent research by Prof. Achim Kempf at the University of Waterloo (and his collaborators) has yielded apowerful new integration technique. The new methods allow one to reduce large classes of integrals tosuccessive differentiations. This provides powerful new methods since, in contrast to prior methods,differentiations are very suitable for implementation in a computer algorithm. Implementing this new methodin the Maple software engine will greatly increase the speed of computation, enlarge the library of integralscomputable with Maple, and provide powerful new Canadian-made tools for engineers and scientistsworldwide.