Quantitative chirality: The weighed least squares model;Chiralité quantitative : le modèle des moindres carrés pondérés

Comptes Rendus de l'Academie des Sciences - Series IIc: Chemistry

Volumn 4, Issue 5, 2001, Pages 331-333

  Petitjean, Michel ^a  

^a UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

Chiralit quantitative; Moindres carr s pond r s; Quantitative chirality; Quantitative symmetry; Sym trie quantitative; Weighed least squares

Indexed keywords

EID: 0000905137     PISSN: 13871609     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1387-1609(01)01241-5     Document Type: Article

References (15)

1. Rassat A. Un critère de classement des systèmes chiraux de points à partir de la distance au sens de Haussdorf. C. R. Acad. Sci. Paris, série II. 299:1984;53-55.
2. Maruani J., Mezey P.G. From symmetry to syntopy: a fuzzy-set approach to quasi-symmetric systems. J. Chim. Phys. 87:1990;1025-1047.
3. Kuz'min V.E., Stel'makh I.B., Bekker M.B., Pozigun D.V. Quantitative aspects of chirality. I. Method of dissymetry function. J. Phys. Org. Chem. 5:1992;295-298.
4. Maruani J., Gilat G., Veysseyre R. Chirality limits of convex bodies. C. R. Acad. Sci. Paris, série II. 319:1994;1165-1172.
5. Zabrodsky H., Avnir D. Continuous Symmetry Measures. 4. Chirality. J. Am. Chem. Soc. 117:1995;462-473.
6. Pinto Y., Fowler P.W., Mitchell D., Avnir D. Continuous chirality analysis of model Stone-Wales rearrangements in fullerenes. J. Phys. Chem. B. 102:1998;5776-5784.
7. Le Guennec P. Two-dimensional theory of chirality. I. J. Math. Phys. 41:2000;5955-5985.
8. Le Guennec P. Two-dimensional theory of chirality. II. J. Math. Phys. 41:2000;5986-6006.
9. Weinberg N., Mislow K. On chirality measures and chirality properties. Can. J. Chem. 78:2000;41-45.
10. Petitjean M. About second kind continuous chirality measures. 1. Planar sets. J. Math. Chem. 22:1997;185-201.
11. Petitjean M. On the root mean square quantitative chirality and quantitative symmetry measures. J. Math. Phys. 40:1999;4587-4595.
12. Petitjean M. Calcul de chiralité quantitative par la méthode des moindres carrés. C. R. Acad. Sci. Paris, série IIc. 2:1999;25-28.
13. Petitjean M. Logiciel QCM. http://www.infobiogen.fr/doc/annuaires/dblogfr.html.
14. Minoux M., Programmation mathématique. Théorie et algorithmes Collection technique et scientifique des Télécommunications, CNET-ENST, vol. 1, Bordas, Paris, 1983, chap. 2, section 1, pp. 31, 32, 38.
15. Sager T.W. An iterative method for estimating a multivariate mode and isopleth. J. Am. Stat. Assoc. 74:1979;329-339.