Serveur d'exploration sur la recherche en informatique en Lorraine

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Geometric Reasoning with Geometric Algebra

Identifieur interne : 009086 ( Main/Exploration ); précédent : 009085; suivant : 009087

Geometric Reasoning with Geometric Algebra

Auteurs : Dongming Wang

Source :

RBID : CRIN:wang01d

English descriptors

Abstract

This chapter starts with an introduction to Clifford algebra for Euclidean geometry and shows how geometric theorems can be proved automatically in the Clifford algebra formalism. A short review of available approaches is given and examples are provided. We report an experiment which demonstrates how identities in Clifford algebra can be effectively proved using the induction principle with heuristic simplification.


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en" wicri:score="222">Geometric Reasoning with Geometric Algebra</title>
</titleStmt>
<publicationStmt>
<idno type="RBID">CRIN:wang01d</idno>
<date when="2001" year="2001">2001</date>
<idno type="wicri:Area/Crin/Corpus">003056</idno>
<idno type="wicri:Area/Crin/Curation">003056</idno>
<idno type="wicri:explorRef" wicri:stream="Crin" wicri:step="Curation">003056</idno>
<idno type="wicri:Area/Crin/Checkpoint">001702</idno>
<idno type="wicri:explorRef" wicri:stream="Crin" wicri:step="Checkpoint">001702</idno>
<idno type="wicri:Area/Main/Merge">009607</idno>
<idno type="wicri:Area/Main/Curation">009086</idno>
<idno type="wicri:Area/Main/Exploration">009086</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en">Geometric Reasoning with Geometric Algebra</title>
<author>
<name sortKey="Wang, Dongming" sort="Wang, Dongming" uniqKey="Wang D" first="Dongming" last="Wang">Dongming Wang</name>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="KwdEn" xml:lang="en">
<term>automated proof of identity</term>
<term>clifford algebra</term>
<term>geometric theorem proving</term>
<term>induction principle</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en" wicri:score="1364">This chapter starts with an introduction to Clifford algebra for Euclidean geometry and shows how geometric theorems can be proved automatically in the Clifford algebra formalism. A short review of available approaches is given and examples are provided. We report an experiment which demonstrates how identities in Clifford algebra can be effectively proved using the induction principle with heuristic simplification.</div>
</front>
</TEI>
<affiliations>
<list></list>
<tree>
<noCountry>
<name sortKey="Wang, Dongming" sort="Wang, Dongming" uniqKey="Wang D" first="Dongming" last="Wang">Dongming Wang</name>
</noCountry>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 009086 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 009086 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     CRIN:wang01d
   |texte=   Geometric Reasoning with Geometric Algebra
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022