P- CUMULATIVE

Rudd P. Cumulative ejqierience with terazosin administered in combination with diuretics. AmJMed( 9% ) 80 (Suppl 5B), 49-54. 

Where D = damage development rate Y = damage energy consumption rate P = cumulative plastic strain rate Q and q = parameters. 

Where P = cumulative plastic strain at a certain time during the cycles P = cumulative plastic strain at the beginning of the cycles and P = cumulative plastic strain at the point of fatigue failure. 

Constant related to angle of contact of particles in agglomerates Mass flow rate of solids in feed (M/T), force (ML/P), cumulative percentage of coarse fraction in the feed... 

Demand D,-(in hundreds) Probability p/ Cumulative Probability of Demand Being D or Less (P/) Probability of Demand Being Greater than D(1 - P/)... 

The same result can also be obtained directly from the virial equation of state given above and the low-density fonn of g(r). B2(T) is called the second virial coefficient and the expansion of P in powers of is known as the virial expansion, of which the leading non-ideal temi is deduced above. The higher-order temis in the virial expansion for P and in the density expansion of g(r) can be obtained using the methods of cluster expansion and cumulant expansion. 

The effect of o and p nitro substituents is cumulative as the following rate data demonstrate... 

In the next several sections, the theoretical distributions and tests of significance will be examined beginning with Student s distribution or t test. If the data contained only random (or chance) errors, the cumulative estimates x and 5- would gradually approach the limits p and cr. The distribution of results would be normally distributed with mean p and standard deviation cr. Were the true mean of the infinite population known, it would also have some symmetrical type of distribution centered around p. However, it would be expected that the dispersion or spread of this dispersion about the mean would depend on the sample size. 

Cumulative frequency data, whethei on a number, surface area, or mass basis, allows for easy estimates of the total number, surface area, or mass of particles less than a given size. For the data in Table 1, 12 particles out of 1000 (1.2%) had a diameter less than 2 p.m, 7.4% less than 4 p.m, etc. 

In turbulent flow, axial mixing is usually described in terms of turbulent diffusion or dispersion coefficients, from which cumulative residence time distribution functions can be computed. Davies (Turbulence Phenomena, Academic, New York, 1972, p. 93), gives Di = l.OlvRe for the longitudinal dispersion coefficient. Levenspiel (Chemical Reaction Engineering, 2d ed., Wiley, New York, 1972, pp. 253-278) discusses the relations among various residence time distribution functions, and the relation between dispersion coefficient and residence time distribution. 

Standard score. Ordinate of normal distrihiition curve, p z) Area under normal curve, cumulative prohahility, v = [ pis)ds o ... 

The negative sequence voltage sets up a reverse rotating field and the slip of the rotor becomes 2 - 5 , compared to the positive sequence slip S. The motor will thus operate under the cumulative influence of these two slips, where power output P can be expressed by (see also Section 2.3). 

Parent 2 10 J =f(x) P — J jUJ Cumulative probability Roulette wheel bits... 

Cahn, R.W., Haasen, P. and Kramer, E.J. (1991-1998), Materials Science and Technology A Comprehensive Treatment, 18 volumes plus a Cumulative Index volume and 2 Supplementary volumes (VCH now Wiley-VCH, Weinheim). 

The cumulative binomial distribution is given by equation 2.5-33, where M is the number of f ailures out of items each having a probability of failure p. This can be worked backH tirLh lo find tlic implied value of p for a specified P(M, p,... 

It may be decided that the gamma prior cannot be greater than a certain value xf. This has the effect of true Ling the normalizing denominator in equation 2.6-10," and leads to equation 2.6-17, where P(x v) is the cumulative integral from 0 to over the chi-squared density function with V degrees of freedom, a is the prescribed confidence fraction, and = 2 A" (t+Tr). Thus, the effect of the truncated gamma prior is to modify the confidence interval to become an effective confidence interval of a ... 

Stegun (1964) to give equation 2.6-26, where F (equation 2.6-27) is the variance ratio distribution function and Q is the cumulative integral over F. This is similar to the classical result (equation 2 5 73) which means that pseudo-failures, a-1, are added to the failures, M, and pseudo-tests, p-a, are added to the tests, N. 

To deal with all kinds of normal distributions of different means and variances, the cumulative distribution is further normalized. This introduces a new variable u = x - ix)/(t. This operation changes a N(p, a) distribution to a N(0, 1) distribution. From Eq. (12.3) the following is obtained ... 

If a measurement is repeated only a few times, the estimate for the distribution variance calculated from this sample is uncertain and the tiornial distribution cannot be applied. In this case another distribution is used, f his distribution is Student s distribution or the /-distribution, and it has one more parameter the number of degrees of freedom, t>. The /-distribution takes into account, through the p parameter, the uncertainty of the variance. The values of the cumulative /-distribution function cannot be evaluated by elementary methods, and tabulated values or other calculation methods have to be used. 

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