Chiral mixtures

Journal of Mathematical Physics

Volumn 43, Issue 8, 2002, Pages 4147-4157

  Petitjean, Michel ^a  

^a EUROPEAN SPACE AGENCY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035981755     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1484559     Document Type: Article

References (19)

1. Anderson, E.J. and Nash, P., Linear Programming in Infinite Dimensional Spaces. Theory and Applications (Wiley Interscience, Chichester, UK 1987), Chap. 5.
2. Billingsley, P., Probability and Measure (Wiley, New York, 1995), Chap. 3, Sec. 16.
3. Dinghas, A., "Über das Verhalten der Entfernung zweier Punktmengen bei gleichzeigtiger Symmetrisierung derselben," Arch. Math. 8, 46-51 (1957).
4. Dobrushin, R.L., "Prescribing a system of random variables by conditional distributions," Theor. Probab. Appl. 15, 458-486 (1970).
5. Dudley, R.M., Real Analysis and Probability (Wadsworth, Pacific Grove, CA, 1989), Chap. 11.8.
6. Gebelein, H., "Maximalkorrelation und Korrelationsspectrum," Z. Angew. Math. Mech. 32, 9-19 (1952).
7. Gilat, G., "Chiral coefficient-a measure of the amount of structural chirality," J. Phys. A 22, L545-L550 (1989).
8. Golub, G.H. and van Loan, C.F., Matrix Computations (John Hopkins University Press, Baltimore, MD, 1985), Sec. 12.4.
9. Grünbaum, B., Measures of Symmetry for Convex Sets, Proceedings of Symposia in Pure Mathematics, Vol. VII, Convexity, edited by V.L. Klee (American Mathematical Society, Providence, RI, 1963), pp. 233-270.
10. Harris, A.B., Kamien, R.D., and Lubensky, T.C., "Molecular chirality and chiral parameters," Rev. Mod. Phys. 71, 1745-1757 (1999).
11. Hurley J.R. and Cattell, R.B., "The Procrustes Program: producing direct rotation to test a hypothesized factor structure," Behav. Sci. 7, 258-262 (1962).
12. Le Guennec, P., "Two-dimensional theory of chirality," J. Math. Phys. 41, 5954-5985, 5986-6006 (2000).
13. Petitjean, M., "About second kind continuous chirality measures. 1. Planar sets," J. Math. Chem. 22, 185-201 (1997).
14. Petitjean, M., "Interactive maximal common 3D substructure searching with the combined SDM/RMS algorithm," Comput. Chem. (Oxford) 22, 463-465 (1998).
15. Petitjean, M., "Calcul de chiralité quantitative par la méthode des moindres carrés," C.R. Acad. Sci., Ser. IIc: Chim 2, 25-28 (1999a).
16. Petitjean, M., "On the root mean square quantitative chirality and quantitative symmetry measures," J. Math. Phys. 40, 4587-4595 (1999b).
17. Petitjean, M., "Chiralité quantitative: le modèle des moindres carrés pondérés," C.R. Acad. Sci., Ser. IIc: Chim 4, 331-333 (2001).
18. Rachev, S.T., Probability Metrics and the Stability of Stochastic Models (Wiley, New York, 1991), Chap. 6.
19. Rachev, S.T. and Rüschendorf, L., Mass Transportation Problems (Springer-Verlag, New York, 1998), Vol. I, Chap. 1.