The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Cette lettre présente des algorithmes intégrateurs pour des contraintes affines définies sur une variété. Nous expliquons d'abord la définition et la représentation géométrique des contraintes affines. Ensuite, nous dérivons des algorithmes intégrateurs pour calculer des intégrales premières indépendantes de contraintes affines pour les deux cas où elles sont complètement intégrables et partiellement non intégrables. De plus, nous prouvons l'existence de fonctions inverses dans les algorithmes. Quelques exemples sont également présentés pour vérifier nos résultats.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copier
Tatsuya KAI, "Integrating Algorithms for Integrable Affine Constraints" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 1, pp. 464-467, January 2011, doi: 10.1587/transfun.E94.A.464.
Abstract: This letter presents integrating algorithms for affine constraints defined on a manifold. We first explain definition and geometric representation of affine constraints. Next, we derive integrating algorithms to calculate independent first integrals of affine constraints for the two cases where the they are completely integrable and partially nonintegrable. Moreover, we prove the existence of inverse functions in the algorithms. Some examples are also shown to verify our results.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.464/_p
Copier
@ARTICLE{e94-a_1_464,
author={Tatsuya KAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Integrating Algorithms for Integrable Affine Constraints},
year={2011},
volume={E94-A},
number={1},
pages={464-467},
abstract={This letter presents integrating algorithms for affine constraints defined on a manifold. We first explain definition and geometric representation of affine constraints. Next, we derive integrating algorithms to calculate independent first integrals of affine constraints for the two cases where the they are completely integrable and partially nonintegrable. Moreover, we prove the existence of inverse functions in the algorithms. Some examples are also shown to verify our results.},
keywords={},
doi={10.1587/transfun.E94.A.464},
ISSN={1745-1337},
month={January},}
Copier
TY - JOUR
TI - Integrating Algorithms for Integrable Affine Constraints
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 464
EP - 467
AU - Tatsuya KAI
PY - 2011
DO - 10.1587/transfun.E94.A.464
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2011
AB - This letter presents integrating algorithms for affine constraints defined on a manifold. We first explain definition and geometric representation of affine constraints. Next, we derive integrating algorithms to calculate independent first integrals of affine constraints for the two cases where the they are completely integrable and partially nonintegrable. Moreover, we prove the existence of inverse functions in the algorithms. Some examples are also shown to verify our results.
ER -