Results presentation

By examining the results presented in figure 3, one can notice that the very well marked central peak correspons exactly to the passage of the pick-up coil over the discontinuity, which... 

The results presented below were obtained using a 2 mm thick carbon fiber reinforced epoxy composite laminate with 16 layers. The laminate was quasi isotropic with fiber orientations 0°, 90° and 45°. The laminate had an average porosity content of approximately 1.7%. The object was divided in a training area and an evaluation area. The model parameters were determined by data solely from the training area. Both ultrasound tranducers used in the experiment had a center frequency of 21 MHz and a 6 dB bandwidth of 70%. 

The results of the review exercise described above confirmed that all shipyards do not have the same attitude towards quality. Whilst the results presented by most of the yards visited were reasonably consistent at 0.5 - 4.5 % repair rate regardless of NDE method, the results from other yards were less satisfactory. The exercise showed that in some yards repair rates were regularly in excess of 10% and that repair rates for radiography tended to be higher than those for ultrasonics. 

McMillan-Mayer theory of solutions [1,2], which essentially seeks to partition the interaction potential into tln-ee parts that due to the interaction between the solvent molecules themselves, that due to die interaction between the solvent and the solute and that due to the interaction between the solute molecules dispersed within the solvent. The main difference from the dilute fluid results presented above is that the potential energy u(r.p is replaced by the potential of mean force W(rp for two particles and, for particles of solute in the solvent, by the expression... 

The results presented here imply that a similar approadi can be used for comparing two different hbraries, for determining the degree of overlap between the compounds in these two Hbraries. Examples of the application of artificial neural networks or GA in drug design are given in [57, 58, 84, 85]. 

A proper resolution of Che status of Che stoichiometric relations in the theory of steady states of catalyst pellets would be very desirable. Stewart s argument and the other fragmentary results presently available suggest they may always be satisfied for a single reaction when the boundary conditions correspond Co a uniform environment with no mass transfer resistance at the surface, regardless of the number of substances in Che mixture, the shape of the pellet, or the particular flux model used. However, this is no more than informed and perhaps wishful speculation. 

To our knowledge, the results presented in this chapter provide the first example of enantioselective Lewis-acid catalysis of an organic reaction in water. This discovery opens the possibility of employing the knowledge and techniques from aqueous coordination chemistry in enantioselective catalysis. This work represents an interface of two disciplines hitherto not strongly connected. 

At the outset, we were faced with the difficult decision whether to use the Angstrom unit or the nanometre for the dimensions of molecules. After careful consideration, we have come down firmly in favour of the Angstrom and we believe that this decision will meet with the approval of the majority of our readers. When quoting graphs and tables of data from the literature, we have retained the original units (kcal, Torr, C, tonin, etc.) in the belief that it is more reasonable to state the data in the form used by the original author—except where comparisons are being made between results presented in different units. 

Inspection of the results presented in Table 2.3 reveals several interesting facts ... 

In describing the various mechanical properties of polymers in the last chapter, we took the attitude that we could make measurements on any time scale we chose, however long or short, and that such measurements were made in isothermal experiments. Most of the experimental results presented in Chap. 3 are representations of this sort. In that chapter we remarked several times that these figures were actually the result of reductions of data collected at different temperatures. Now let us discuss this technique our perspective, however, will be from the opposite direction taking an isothermal plot apart. 

Although the results presented in Fig. 5.2 appear to verify the predictions of Eq. (5.16), this verification is not free from controversy. This controversy arises because various workers in this field employ different criteria in evaluating the success of the relationships we have presented in fitting experimental polymerization data. One school of thought maintains that an adequate kinetic description of a process must apply to the data over a large part of the time of the experiment. 

Throughout this section we have used mostly p and u to describe the distribution of molecular weights. It should be remembered that these quantities are defined in terms of various concentrations and therefore change as the reactions proceed. Accordingly, the results presented here are most simply applied at the start of the polymerization reaction when the initial concentrations of monomer and initiator can be used to evaluate p or u. The termination constants are known to decrease with the extent of conversion of monomer to polymer, and this effect also complicates the picture at high conversions. Note, also, that chain transfer has been excluded from consideration in this section, as elsewhere in the chapter. We shall consider chain transfer reactions in the next section. 

We consider an equilibrium problem for a shell with a crack. The faces of the crack are assumed to satisfy a nonpenetration condition, which is an inequality imposed on the horizontal shell displacements. The properties of the solution are analysed - in particular, the smoothness of the stress field in the vicinity of the crack. The character of the contact between the crack faces is described in terms of a suitable nonnegative measure. The stability of the solution is investigated for small perturbations to the crack geometry. The results presented were obtained in (Khludnev, 1996b). 

C. Sacco, "Quad Cities Unit 2 Incore Hydrogen Addition Test Results," presented at 1994INPO-EPRJ Chemistry Managers Workshop. Atlanta, Ga.,... 

I am pleased to acknowledge that the simulation results presented in this chapter were obtained from calculations carried out in collaboration with Kechuan Tu, Mike Klein, and Kent Blasie. The calculations and fitting of the neutron scattering spectra benefited from discussions with Mounir Tarek. Financial support was provided by the School of Physical Sciences at the University of California at Irvine and a grant from the donors of The Petroleum Research Fund, administered by the American Chemical Society (ACS-PRF 33247-G7). 

These results, presented without proof, are important and hold for any independent physical distributions. In words, they say that the mean of a sum is the sum of the means the mean of a prodiift is the product of the means for any distribution. Furthermore, the variance of the sum is the sum of the variances, and the variance of the product is the product of the variance plus the mean of one variable squared, times the other variables variance, plus the converse - again for any distribution. 

The general forms of the convection equations are given below in a simple form. More accurate equations can be found from the latest research results presented in technical journals. 

From Fig. 10.72 we can see that the ratio of the momentum of the equivalent wull jet to that of the offset jet is typically about 0.46 and we have taken this value in the sample results presented here. 

Most of the results presented in the previous chapters are based on idealized conditions. In practice, the performance of an electrostatic precipitator can be significantly influenced by the dust layers on discharge and collection electrodes i.e., dust layers may alter the electrical properties of the system. It is also possible that dust layers are not stable i.e., collected particles become loose, increasing the particle concentration in the outlet of the precipitator. These problems play a much smaller role if the surface collection electrode is continuously flushed with water. These wet elearostatic precipitators, however, cannot be used in all applications. 

The main conclusion which can be drawn from the results presented above is that dimerization of particles in a Lennard-Jones fluid leads to a stronger depletion of the proflles close to the wall, compared to a nonassociating fluid. On the basis of the calculations performed so far, it is difficult to conclude whether the second-order theory provides a correct description of the drying transition. An unequivocal solution of this problem would require massive calculations, including computer simulations. Also, it would be necessary to obtain an accurate equation of state for the bulk fluid. These problems are the subject of our studies at present. 

However, as follows from the results presented in Fig. 1(b), the behavior of the PMF for the case of adsorbed dispersion in the matrix at Pm< m — 0.386 contains interesting features in addition to those shown in Fig. 1(a). We observe that the PMF is modulated by the presence of solvent species and in addition is modulated by the presence of matrix particles. The structural repulsive barrier appears, due to matrix particles. An additional weak attractive minimum exists at separations corresponding to matrix-separated colloids. It is interesting that the effects of solvent modulation of the PMF in the adsorbed dispersion are seen for matrix separated colloids. The matrix particles are larger than colloids adsorption of solvent species on the surface of a matrix particle is stronger than on the surface of a colloid. Therefore, the solvent modulating effects of the PMF result from colloids separated by a matrix particle covered by a single layer of solvent species. 

The effects of confinement due to matrix species on the PMF between colloids is very well seen in Fig. 1(c). At a small matrix density, only the solvent effects contribute to the formation of the PMF. At a higher matrix density, the solvent preserves its role in modulating the PMF however, there appears another scale. The PMF also becomes modulated by matrix species additional repulsive maxima and attractive minima develop, reflecting configurations of colloids separated by one or two matrix particles or by a matrix particle covered by the solvent layer. It seems very difficult to simulate models of this sort. However, previous experience accumulated in the studies of bulk dispersions and validity of the PY closure results gives us confidence that the results presented are at least qualitatively correct. 

We would like to thank Gerhard Gompper, Johann Hoye, Andrzej Poniewierski, Michael Schick, and George Stell for fruitful collaboration which led to the results presented in this chapter. This work was partially supported by the Komitet Badah Naukowych under grants 2P03B12516 and 3T09A07316 and by the Maria Sklodowska Curie Joint Fund II. 

Figure 4.13 GC X GC analysis of vetiver essential oil column 1, BPX5 column 2, BPX50 (0.8 m in length). The lower trace presents the pulsed peaks obtained from the modulation process, and shows such peaks in a manner that represents the normal cliromatograpliic result presentation. Tliis nace is many times more sensitive than a normal GC trace. In the upper plot, the 2D separation space shows that the BPX50 column is not very effective in separating components of the oils based on polarity, since all the components are bunched up along the same region of 2D time.

Entries 7, 8, and 10 describe so-called Idnetically controlled syntheses starting from activated substrates such as ethyl esters or lactose. In two reaction systems it was possible to demonstrate that ionic liquids can also be useful in a thermodynamically controlled synthesis starting with the single components (Entry 11) [39]. In both cases, as with the results presented in entry 6, the ionic liquids were used with addition of less than 1 % water, necessary to maintain the enzyme activity. The yields observed were similar or better than those obtained with conventional organic solvents. 

Cayley s extensive computations have been checked and, where necessary, adjusted. Real progress has been achieved by two American chemists, Henze and Blair Not only did the two authors expand Cayley s computations, but they also improved the method and introduced more classes into the compound. Lunn and Senior , on the other hand, discovered independently of Cayley s problems that certain numbers of isomers are closely related to permutation groups. In the present paper, I will extend Cayley s problems in various ways, expose their relationship with the theory of permutation groups and with certain functional equations, and determine the asymptotic values of the numbers in question. The results are described in the next four chapters. More detailed summaries of these chapters are given below. Some of the results presented here in detail have been outlined before ... 

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