Treffer: A complex change of variables for geometrical reasoning
Title:
A complex change of variables for geometrical reasoning
Authors:
Source:
ADG 2000 : automated deduction in geometry (Zurich, 25-27 September 2000, revised papers)Lecture notes in computer science. :143-153
Publisher Information:
Berlin: Springer, 2001.
Publication Year:
2001
Physical Description:
print, 17 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Intelligence artificielle, Artificial intelligence, Résolution de problèmes, jeux, Problem solving, game playing, Algèbre Clifford, Clifford algebra, Algebra Clifford, Calcul formel, Computer algebra, Cálculo formal, Changement variable, Variable transformation, Cambio variable, Démonstration théorème, Theorem proving, Demostración teorema, Modèle entité relation, Entity relationship model, Modelo entidad relación, Méthode variable complexe, Complex variable method, Método variable compleja, Raisonnement automatique, Automated reasoning, Raisonnement géométrique
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Murdoch University, Western Australia, Australia
University of Queensland, Queensland, Australia
University of Queensland, Queensland, Australia
ISSN:
0302-9743
Rights:
Copyright 2002 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.14047719
Database:
PASCAL Archive
Weitere Informationen
We use complex vectors in geometrical reasoning, specifically automated theorem proving. The calculations are embedded in Clifford algebras, but commutative polynomial techniques can be used. Using the Gröbner basis package in the computer algebra package Maple, this approach is shown to have efficiency benefits in situations where distance and angle relations amongst geometrical entities predominate.