Asymmetry index

The overall asymmetry index for molecule k may be taken as the average of aU the pairwise contacts to it, and the overall asymmetry index in a computational box as the average of all molecule-molecule indices ... 

Fig. 12 Symmetrization run for n-hexane. Left, the evolution of the overall asymmetry index (upper curve) and of the overall density (lower curve). Right the evolution of pressure (atm) and of intramolecular, intermolecular Lennard-Jones and total energy (kJ moP ). The abscissa shows the number of million MC moves, corresponding to a time of a few picoseconds...

An x-ray beam was reflected from the (1011) plane of quartz or, in some cases, from a cleavage plane of mica (fifth-order reflection). The radii of curvature of the bent crystals were 1002 and 1217 mm. The dispersion achieved using these crystals was 2.33 XU/mm (i.e., 4.01 eV/mm) and 3.59 XU/mm (6.01 eV/mm). This enabled us to resolve completely the doublet whose components were separated by 3.65 XU. A crystal was bent and the aperture was reduced until we achieved the lowest value of the half-width of the line of metallic titanium (AA = 0.93 XU). The asymmetry index of this line was a = 1.13. 

The perturbation of the PMD symmetry is accompanied by a decrease in the charge alternation and by the appearance of bond alternation from one end group to another. The bond alternation ampHtude has been revealed to be proportional to the asymmetry degree, which can be calculated as the difference of topological indexes = 4>gj — 4>gg. The effect is maximum if Tgj > 45° and Tgg < 45°. If A4>j2 = 90°, the ideal polyene state is... 

All the phenomena described above are absent in a 2D-junction when the effects of transverse mode quantization are neglected [7]. We have considered the limiting case of a single (transverse) channel because this is the case when the effects induced by a dispersion asymmetry in the electron spectrum are most pronounced. The anomalous supercurrent Eq. (7) is a sign alternating function of the transverse channel index since for neighboring channels the spin projections of chiral states are opposite [4]. Besides, the absolute value of the dispersion asymmetry parameter decreases with transverse-channel number j. So, for a multichannel junction the effects related to a dispersion asymmetry phenomenon will be strongly suppressed and they completely disappear in the pure 2D case. 

Analysis/synthesis, 51 Analytic signal definition, 409 Anti-aliasing filter, 196, 200 Array misalignment, 270 Articulation Index, 264 Articulatory speech synthesis, 419 Asymmetry of masking, 17 Attack time ANSI, 260 compression, 255 Attack, 319, 322 Audio codec quality, 37 Audio quality, 1-2 Audio restoration (See Restoration)... 

In mean field theory, two parameters control the phase behavior of diblock copolymers the volume fraction of the A block /A, and the combined interaction parameter xTak- V. where Xab is the Flory-Huggins parameter that quantifies the interaction between the A and B monomers and N is the polymerization index [30], The block copolymer composition determines the microphase morphology to a great extent. For example, comparable volume fractions of block copolymer components result in lamella structure. Increasing the degree of compositional asymmetry leads to the gyroid, cylindrical, and finally, spherical phases [31]. 

Usually, the chiroptical properties of highly cross-linked polymers cannot be measured. The asymmetry of the empty cavities can be deduced from their excellent racemate resolution ability, but under special conditions it can also be directly detected by optical activity measurements [41]. For this, the polymer is suspended in a solvent that has the same refractive index as the polymer, a technique which was developed for other types of insoluble polymers. The values of molar optical rotation thus determined are shown in Table 4.3. 

Pearson s first index. A measure of the asymmetry of the distribution of the x variable, defined as ... 

Negative values show a right-tailed distribution, positive values a left-tailed distribution. Other measures of distribution asymmetry are Pearson s second index, skewness, and the Bonferroni index. 

In asymmetrically substituted cations, the NMe2 groups are non-equivalent and they are observed as two doublets with different values of the /nmb,nh coupling constants (Table 8). It was suggested that the relationship between these constants can be used for estimating the IHB asymmetry via the proton localization index (PL)98, which is calculated in accordance with equation 6. 

The actual implementation of the generalized GCA involves a variety of issues. The point reflection with respect to the pivot requires careful consideration of the periodic boundary conditions. Furthermore, as mentioned above, particles that have been translated via a point reflection must not be translated again within the same cluster move, and particles that interact with a given cluster particle both before and after the translation of that cluster particle must be considered only once, on the basis of the difference in pair potential. One way to account for all interacting pairs in an efficient manner is the use of the cell index method [25]. For mixtures with large size asymmetries (the situation where the generalized GCA excels), it is natural to set up different cell structures, with cell lengths based upon the cutoffs of the various particle... 

The retention time tRjin and the second moment for the Gaussian profile (Eq. 6.61) have been replaced by variables indexed with g . These parameters tg and og must be optimized by curve fitting. Equation 6.143 is only suitable for symmetric peaks. Analytical solutions of, for example, the transport dispersive model (which describes asymmetric band broadening only for a very low number of stages) are not suited to describing the asymmetry often encountered in practical chromatograms. Thus, many different, mostly empirical functions have been developed for peak modeling. A recent extensive review by Marco and Bombi (2001) lists over 90 of them. 

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