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Application of Gröbner bases to problems of movement of a particle
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1994
(EN)
EKT historical period
Title
Application of Gröbner bases to problems of movement of a particle (EN)
Creator
Anastasselou, EG (EN)
Ioakimidis, NI (EN)
Description
The classical method of Gröbner bases for multivariate polynomials in computer algebra and the related Buchberger's algorithm and its modifications for the computation of such bases are applied to some elementary problems of kinematics as well as to the classical Kepler-Newton problem in celestial mechanics, where, beyond the variables in the polynomials, the differential operator D appears as well. The popular computer algebra system Maple V and the related standard package were used for this purpose and several possibilities of using Gröbner bases for the proof and/or the derivation of formulae in mechanics are illustrated. The present results generalize well-known results for the proof/derivation of geometric theorems by using classical Gröbner bases and related techniques and they illustrate the power of commercial computer algebra systems in the aforementioned tasks in kinematics. Modifications and generalizations of the present approach are also possible. © 1994. (EN)
Type
journalArticle (EN)
Subject
Computer Science, Interdisciplinary Applications (EN)
Mathematics, Applied (EN)
GEOMETRY (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Computers and Mathematics with Applications (EN)
Language
English
Issued
1994 (EN)
Identifier
http://hdl.handle.net/123456789/11160
57 (EN)
3 (EN)
27 (EN)
0898-1221 (EN)
ISI:A1994MP68700007 (EN)
51 (EN)
Publisher
PERGAMON-ELSEVIER SCIENCE LTD (EN)
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