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On the 'piano Movers' Problem: II. General Techniques for Computing Topological Properties of Ral Algebraic Manifolds (Classic Reprint) - Couverture souple
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The digital edition of all books may be viewed on our website before purchase. Excerpt from On the 'Piano Movers' Problem: II. General Techniques for Computing Topological Properties of Ral Algebraic Manifolds (Classic Reprint)
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On the 'Piano Movers' Problem: II (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book details the mathematical foundations upon which pivot and non-pivot motions of a body can be calculated in a given configuration space. The work continues the discussion begun in the author's earlier publication, and presents general techniques for computing various topological properties of real algebraic manifolds, with an emphasis on identifying necessary and sufficient conditions for the existence of an uninhibited motion of one or more bodies in a designated space. The author shows that this problem can be handled by a refinement of methods pioneered by Tarski and Collins, leading to algorithms that are polynomial in the geometric complexity of the problem, for each fixed number of degrees of freedom, but exponential in the number of degrees of freedom. The author's method also provides a general (but not polynomial-time) procedure for calculating all the homology groups associated with an arbitrary real algebraic variety and other general topological properties. Various algorithmic issues concerning computations with algebraic numbers, which are required in the algorithms in this book, are also covered. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781332173013_0
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On the 'Piano Movers' Problem II General Techniques for Computing Topological Properties of Ral Algebraic Manifolds Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332173013
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On the 'Piano Movers' Problem II General Techniques for Computing Topological Properties of Ral Algebraic Manifolds Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332173013
Quantité disponible : 15 disponible(s)