Numerical distribution

Numerical Distribution n(I>), the percentage of particles with a given equivalent diameter. 

Fig. 16 Numerical distribution, surface distribution, and mass distribution.

The numerical distribution is important for organic pigments this is particularly true for electron microscopy, which affords results in terms of numbers of particles (Sec. 1.5.2.2). 

Standards have also been developed for the statistical evaluations of frequency or numerical distributions, means and standard deviations, confidence intervals, regression, and correlation [26]. 

A, AB, B, CB, AC and C. From numerous distribution and family studies it has been determined that the six phenotypes are directed by three common alleles pa, p, and pc (2,3, ). Using crude hemolysates ( 5) and 1,000 fold pure homogeneous type AA and BB enzymes (6) some properties of EAP, such as thermostability, pH and substrate specificity and molecular size, have been examined. From the time EAP polymorphism was first described, the use of the enzyme as a means of typing human blood has been of interest to the forensic scientist. Investigators have described successes in typing dried bloodstains stored at 20 - 25 C for 5-8 weeks and stored whole blood kept at 5 C was typed for as long as 15 months ( 7). Difficulties in typing EAP types AB (1,3), B and C (J3 ) have also been described. 

Polymerization Time (from beginning of Solids, Numerical Distribution of... 

The percent numerical distribution of particles, at different polymerization times, is plotted in Figures 3 and 4 and is shown in Figure 5. Each group of particles exhibits a fairly uniform distribution around a main diameter (the one indicated in Table V). Diameter dispersion is wide for example, we have calculated the a value for the sample taken at 70 minutes in Run 63 and for the sample taken at 300 minutes in Run 67. They are reported in Table VI. In a few cases, diameter distribution is not strictly gaussian in nature. 

Figure 3. Run 63 numerical distribution of particles at different polymerization times...

Figure 6. Numerical distribution of particles in final latex of different runs... 

Czeizel and Kiraly (1976) carried out chromosome tests in male labourers 20-61 years of age engaged in the manufacture of TCPE and Buvinol . Using the method of Moorhead et al. (1960) they investigated the lymphocytes of peripheral blood after 48 hours culture. The Edinburgh method (Buckton et al, 1962 Court-Brown et al., 1967 Buckton and Evans, 1973) was used for evaluation, that is, the numerical distribution of chromosomes and the chromatid and chromosome-type injuries were recorded. The modal and nonmodal chromosome numbers of zero-control and factory control did not differ considerably. 

Finally it should be noted that in these oxidation reactions (as for many other reactions of coal), the yield of the oxidation products were not quantitative and therefore cannot be construed to represent the numerical distribution of the various functions within coal. However, it does seem that this technique provides a means of characterizing parts of coal structure that are often misrepresented or even not represented when other chanical reagents or physical methods are employed. 

For a one-dimensional model system of 2Ne independent particles moving in a harmonic effective potential v(x) = —and simultaneously subjected to an electric field E, the numeral distribution density n(x,E) is given by... 

The most practical representation of the dispersity of molar masses is shown in Figure 3.7, which consists in plotting either the number (Ni) of moles of species corresponding to a degree of polymerization (Xi) or their mass (A jAf, ), versus either the degree of polymerization (Xi) or the corresponding molar mass (Af,). This representation of Ni =f(Xi or Mi) affords a curve that gives information about the numeral distribution of chains. 

The main differences between the experimental and the numerical pressure distributions concern the pressure spikes, which are much more intense on the numerical distributions. The pressure measured by Raman microspectrometry is averaged over the surface of the laser probe, whose diameter is estimated at 10 jam in our experiments. Consequently, the intensity of the experimental pressure spike is lower than its real value. On the other hand the intensity of the calculated spike strongly depends on the numerical solution, notably on the level of discretization. For these reasons, it is difficult to know accurately the real intensity of the pressure spike. Furthermore, the high L values cause the solution to converge slowly, and a small error may persist in some solutions. 

According to the numerical distribution assigned, the path follows a downward potential. 

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