منابع مشابه
Majorization : Angles , Ritz Values
Many inequality relations between real vector quantities can be succinctly expressed as “weak (sub)majorization” relations using the symbol ≺w. We explain these ideas and apply them in several areas: angles between subspaces, Ritz values, and graph Laplacian spectra, which we show are all surprisingly related. Let Θ(X ,Y) be the vector of principal angles in nondecreasing order between subspace...
متن کاملXanes and the Determination of Bond Angles
It is argued that conventional weak scattering probes provide no direct information beyond the radial distribution function. In contrast, X-ray Absorption Near Edge Structure is produced by the multiple scattering of low energy electrons and has sensitivity to bond angles and symmetry of the environment 1. WEAK SCATTERING AND PAIR CORRELATIONS The traditional probe of structure is a wave that i...
متن کاملDisulfide bond dihedral angles from Raman spectroscopy.
Raman spectra of several compounds containing the CS-SC moiety were obtained (in the solid phase) from 450-800 cm(-1) to investigate the S-S and C-S stretching behavior. The S-S stretching frequency varied linearly with the CS-SC dihedral angle (obtained from either x-ray or neutron diffraction or ultraviolet absorption) for compounds whose CC-SS dihedral angles were not very different. The rat...
متن کاملBIOEQUIVALENCE: COMPARISON OF AVERAGE VALUES WITH GENERALIZED p -VALUES
The aim of bioequivalence studies is the evaluation of bioequivalence of pharmaceutical products. The products are usually two and basic pharmacokinetic parameters such as AUC, C max and t max are used. These studies aim at investigating the “closeness” of the distributions of the pharmacokinetic parameters (responses) for the two products, which is made mainly by comparing the average values o...
متن کاملExperimental determination of optimal root-mean-square deviations of macromolecular bond lengths and angles from their restrained ideal values.
A number of inconsistencies are apparent in the recent research paper by Jaskolski et al. [(2007), Acta Cryst. D63, 611-620] concerning their recommendations for the values of the magnitude and resolution-dependence of the root-mean-square deviations (RMSDs) of bond lengths and angles from their restrained ideal values in macromolecular refinement, as well as their suggestions for the use of va...
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ژورنال
عنوان ژورنال: Bulletin of the Chemical Society of Japan
سال: 1971
ISSN: 0009-2673,1348-0634
DOI: 10.1246/bcsj.44.96