Parallel parameters

The solubility of the dextran-con A precipitates at equivalence is a revealing parameter. Compared to the dextran B-1355-con A complex, which had320 a solubility of 1.5 pig of N/ml, the solubility of S. bovis-, dextran B-512(F)-, and B. arabinosaceous dextran-con A precipitates were 28, 19, and 11 ju,g of N/ml, respectively.362 Similarly, 0.024, 0.03, and 0.22 /mmoles of methyl a-D-glucopyranoside were needed in order to inhibit the precipitation reaction between con A and dextrans S. bovis, B-512(F), and B. arabinosaceous, respectively.362 These two parallel parameters indicate the affinity of the dextran for con A. 

Zi, Z. SBML-PET-MPl a parallel parameter estimation tool for Systems Biology Markup Language based models. Bioinformatics 27, 1028-1029 (2011)... 

A connnon teclmique used to enliance the signal-to-noise ratio for weak modes is to inject a local oscillator field polarized parallel to the RIKE field at the detector. This local oscillator field is derived from the probe laser and will add coherently to the RIKE field [96]. The relative phase of the local oscillator and the RIKE field is an important parameter in describing the optical heterodyne detected (OHD)-RIKES spectrum. If the local oscillator at the detector is in phase with the probe wave, the heterodyne mtensity is proportional to... 

For the Berry phase, we shall quote a definition given in [164] ""The phase that can be acquired by a state moving adiabatically (slowly) around a closed path in the parameter space of the system. There is a further, somewhat more general phase, that appears in any cyclic motion, not necessarily slow in the Hilbert space, which is the Aharonov-Anandan phase [10]. Other developments and applications are abundant. An interim summai was published in 1990 [78]. A further, more up-to-date summary, especially on progress in experimental developments, is much needed. (In Section IV we list some publications that report on the experimental determinations of the Berry phase.) Regarding theoretical advances, we note (in a somewhat subjective and selective mode) some clarifications regarding parallel transport, e.g., [165], This paper discusses the projective Hilbert space and its metric (the Fubini-Study metric). The projective Hilbert space arises from the Hilbert space of the electronic manifold by the removal of the overall phase and is therefore a central geometrical concept in any treatment of the component phases, such as this chapter. 

The lowest order contributions to the energy are described by the conical parameters g, h, and s, k = x,y,z, or by d, A = 1,2 and s, k = x,y,z-Here and below the superscript ij is suppressed when no confusion will result. We also will use the nonrelativistic convention g - x,fi" y and h J z, where is real is parallel to. These parameters [9] are reported in Figure 4a and b. Their continuity is attributable to the use of orthogonal intersection adapted coordinates. For comparison, Figure 4a and b reports the nonrelativistic quantities g , and s, respectively. While noting that there is no unique correspondence... 

The salient comparisons are between the bars marked P3-Dk, our initial parallel PME implementation, and DP-4, the macroscopic multipole method with four levels of macroscopic boxes. Though it is difficult to create a completely fair comparison in terms of the relative accuracy of the potentials and forces as computed by the two methods, the parameters for these simulations were tuned to give comparable overall accuracy. PME is clearly... 

In Gunn and King s work only part of the experimental data is available as a check on the form of the dusty gas flux relations the remainder is absorbed in determining the values of the three adjustable parameters K, and In an interesting parallel investigation, Remick and... 

We observed above that the Rouse expression for the shear modulus is the same function as that written for a set of Maxwell elements, except that the summations are over all modes of vibration and the parameters are characteristic of the polymers and not springs and dashpots. Table 3.5 shows that this parallel extends throughout the moduli and compliances that we have discussed in this chapter. In Table 3.5 we observe the following ... 

Another troublesome aspect of the reactivity ratios is the fact that they must be determined and reported as a pair. It would clearly simplify things if it were possible to specify one or two general parameters for each monomer which would correctly represent its contribution to all reactivity ratios. Combined with the analogous parameters for its comonomer, the values rj and t2 could then be evaluated. This situation parallels the standard potential of electrochemical cells which we are able to describe as the sum of potential contributions from each of the electrodes that comprise the cell. With x possible electrodes, there are x(x - l)/2 possible electrode combinations. If x = 50, there are 1225 possible cells, but these can be described by only 50 electrode potentials. A dramatic data reduction is accomplished by this device. Precisely the same proliferation of combinations exists for monomer combinations. It would simplify things if a method were available for data reduction such as that used in electrochemistry. 

Not all Zimm plots show the same grid of essentially parallel straight lines found in Fig. 10.14. In some cases there is considerable curvature, and quite a bit of interpretation is required to extract the molecular parameters from the data. In this connection we note that the reciprocal of Eq. (10.83)... 

It has been experimentally verified that initially jets spread roughly linearly in the similarity region, ie, (Sa x jet. For both axially symmetric and plane parallel (slot) jets, the jet width parameter, 5, is given by... 

A parallel but more historically comprehensive discussion of glass stmcture and composition has been given (36). Prediction of stmctural parameters and consequent properties from theoretical principles has increased with the advent of supercomputers. Of particular interest to glass scientists... 

Mass Transfer and Kinetics in Rotary Kilns. The rates of mass transfer of gases and vapors to and from the sohds iu any thermal treatment process are critical to determining how long the waste must be treated. Oxygen must be transferred to the sohds. However, mass transfer occurs iu the context of a number of other processes as well. The complexity of the processes and the parallel nature of steps 2, 3, 4, and 5 of Figure 2, require that the parameters necessary for modeling the system be determined empirically. In this discussion the focus is on rotary kilns. 

The abihty of a four-parameter, two-parallel reaction model to correlate pilot-scale rotary kiln, toluene-desorption results (26) is shown in Figure 6. The model assumes that the adsorbed toluene consists of two fractions, T and F, which are tightly and loosely bound, respectively. 

Reaction measurement studies also show that the chemistry is often not a simple one-step reaction process (37). There are usually several key intermediates, and the reaction is better thought of as a network of series and parallel steps. Kinetic parameters for each of the steps can be derived from the data. The appearance of these intermediates can add to the time required to achieve a desired level of total breakdown to the simple, thermodynamically stable products, eg, CO2, H2O, or N2. 

If all the molecules are perfectly parallel, S would equal 1. In an isotropic Hquid, f 6) is constant so that < cos 0 > equals 1/3 and S is therefore 2ero. The order parameter for Hquid crystals falls somewhere between these limits and decreases somewhat with increasing temperature. 

Positional Distribution Function and Order Parameter. In addition to orientational order, some Hquid crystals possess positional order in that a snapshot at any time reveals that there are parallel planes which possess a higher density of molecular centers than the spaces between these planes. If the normal to these planes is defined as the -axis, then a positional distribution function, can be defined, where is proportional to the... 

Fig. 15. Parallel-plate PECVD reactor, where typical parameters are radio frequency at 50 kH2 to 13.56 MH2 temperature, 25—700°C pressure, 13—270 Pa...

The electronic stmcture of cobalt is [Ar] 3i/4A. At room temperature the crystalline stmcture of the a (or s) form, is close-packed hexagonal (cph) and lattice parameters are a = 0.2501 nm and c = 0.4066 nm. Above approximately 417°C, a face-centered cubic (fee) aHotrope, the y (or P) form, having a lattice parameter a = 0.3544 nm, becomes the stable crystalline form. The mechanism of the aHotropic transformation has been well described (5,10—12). Cobalt is magnetic up to 1123°C and at room temperature the magnetic moment is parallel to the ( -direction. Physical properties are Hsted in Table 2. 

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