Integral weights

At subplateau temperatures, when pa),- 3> 1, tanh(po),-/2) can be replaced by unity. Furthemore, the summation with respect to ey is no longer cut off by the temperature and the respective integral (weighted by n(e) = (l/r )e l l/ ) picks up most of its value at e > T. Therefore tanh(pey/2) may be replaced by unity as well. (Actually, both of those replacements must be made simultaneously, otherwise the sum becomes potentially ill-behaved when o), e.) As a result, the expression in Eq. (79) simplifies to... 

Door carrier panel on 2005 Lancia Y-Epsilon is made of Quadrant GMT and GMTEx 40% GMT polypropylene. Benefits are large functional integration, weight reduction, cost saving. 

Mass flow measurements are required for several control circuits and for balancing the experiments. For a maximum flexibility, gauges have been installed which measure the mass flow via the Coriolis-forces. The mass of the feed vessel is continuously measured by a weighing cell The integrated weight loss is used to control the frequency of the feed pump. 

An evaluation of all relevant data should be performed and summarized in the TSDs to present an integrated weight-of-evidence picture for all information considered as a whole. 

There may be the desire to weight each different environmental category in order to come up with a single performance indicator across all categories. An integrated weighting scheme across all categories should be viewed with... 

Figure 4.2(b) depicts a simple integral weight distribution, normalized by recording fractions of the total weight rather than actual weights of differential species. 

Figure 4.2 (a) A normalized differential weight distribution curve, (b) A normalized integral weight distribution curve. 

Figure 5.7 Integral weight fraction distribution of reaction mixture in linear step-growth polymerization for conversions of 95%, 98%, and 99% [Eq. (5.74)]. (After Ref. 16.)...

To obtain the locations of the collocation points and derivatives and integral weighting matrices and vectors, we use the function col 1 oc, based on the methods described by Villadsen and Michelsen [8J. 

We first assume that, at any specified resolution determined by Qmax, the effective electron density of each particular atom, Pejfz), can be written as a Gaussian, in which the position zo is determined by the structure, the width - is determined by either the intrinsic electron distribution or the experimental resolution, and the integral weight corresponds to the atomic number of that element, Z, or... 

Fig. 5. Thermogram of prepared La(OH>3 obtained at 2°C/min in vacuo. (—) Integral weight loss...

Effectively, we divide the lineshape into vertical strips and take the integral, weighting each strip by the nth power of its deviation from the centre of the line. For a symmetric line, the odd moments are therefore all 0. The signal, following a pulse can then be defined in terms of the moments [8]... 

For the amorphous CMF structure the sum over J in eq. (9) must be replaced by an integral weighted with an anisotropic probability function. This fiinction for a CMF structure may be expressed as... 

Tests at Martin-Denver have not shown any difference in results when an integral weight-striker was used in place of the more facile striker-yoke system described. 

Integral weight loss curve,-- Time/temperature derivative,... 

The matrix element in Eq. (3.25) is noteworthy in three respects. First, it is the product of an integration weight and a finite grid spacing representation of the kernel. This product arises because DVR includes integration weights in the... 

Each doubly excited determinant gives a contribution to the MPl wave function that is [x-oportional to the antisymmetrized two-electron integral weighted by a denominator containing the associated orbital energies. 

By carefiil design of the panel, a corrugation profile can be selected, which provided the most cost-effective solution when structural integrity, weight cost, ease of manufacture, and acoustic performance are considered. When expensive materials, such as stainless steel and aluminum, are employed, the reduction in cost by using a thinner-walled corrugated panel can be considerable. 

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