Machine Proofs in Geometry

Machine Proofs in Geometry

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E-Bok
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Format E-Bok
Filformat PDF
Utgivelsesår 1994
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789812798152
Sider 480
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Om Machine Proofs in Geometry

This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.Contents:Part I: The Theory of Machine Proof:Geometry PreliminariesThe Area MethodMachine Proof in Plane GeometryMachine Proof in Solid GeometryVectors and Machine ProofsPart II: Topics from Geometry:List of SymbolsBibliographyIndexReadership: Researchers in artificial intelligence, computer science and mathematics; students and teachers.Key Features:Describes a consistent methodology for estimating olefin production costs from any facility in any locationFacilitates business development and investment decisions in the chemical industry


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