Weight factor, definition

The number average degree of polymerization for these mixtures is easily obtained by recalling the definition of the average from Sec. 1.8. It is given by the sum of all possible n values, with each multiplied by its appropriate weighting factor, provided by Eq. (5.24) ... 

The value objective function is oriented at the company s profit and loss definitions. Guiding principle is to only use value parameters that can be found in the cost controlling of the company signed by controlling. Penalty costs and without currency and weighting factors being applied to steer optimization results but having no actual financial impact - as it can be often found in supply chain optimization models - do not meet this requirement. 

As shown above in (6.162), the Lagrangian fluid-particle PDF can be related to the Eulerian velocity, composition PDF by integrating over all initial conditions. As shown below in (6.168), for the Lagrangian notional-particle PDF, the same transformation introduces a weighting factor which involves the PDF of the initial positions y) and the PDF of the current position /x.(x t). If we let V denote a closed volume containing a fixed mass of fluid, then, by definition, x, y e V. The first condition needed to reproduce the Eulerian PDF is that the initial locations be uniform ... 

The quantification of molecular similarity generally involves three components molecular descriptors to characterize the molecules, weighting factors to differentiate more important characteristics from less important ones, and the similarity coefficient to quantify the degree of similarity between pairs of molecules (20, 21). The first two components are related to the definition of chemical space as discussed in Section 2.4. Therefore, it is natural to assume that structurally similar molecules should cluster together in a chemical space, and to define the similarity coefficient of a pair of molecules to be the distance between them in the chemical space. The shorter the distance is the more similar the pair is. 

Name Symbol Definition Quantity averaged Weighting factor... 

Notice that the dose has a strict definition of energy per unit mass of the absorber and, in principle, can be measured for a given radiation at a certain energy in a specific material. The equivalent dose is a relative unit in that a radiation weighting factor is applied to a measured quantity. The dose can be measured from ionization in an electronic radiation detector the equivalent dose must take into account the type of radiation causing the ionization. 

In this equation, Wq and W[r are weighting factors that express the importance of the residuals obtained in the calorimetric and infrared determinations, respectively. The definition of these weightings is crucial for the results that are obtained, but is not at all straightforward. Recently, an approach to this problem based on an automated sensitivity analysis has been reported [17]. Besides tackling this problem of mathematically combining the evaluation of two different signals measured for the same experiment, we shall demonstrate in Section 8.3 that the application of both measurement techniques in parallel has synergistic effects for the clarification of the physical and chemical processes that are involved in the one experiment. 

For conversions lower than xgei the average molar mass of the polymer exhibits a continuous increase. The first two moments of the molar mass distribution are the number-average molar mass, Mn, and the mass-average molar mass, Mw, respectively. Mn is defined in terms of the number contribution of every species to the whole population. The weight factor used to define this average is the molar fraction. Mw is defined in terms of the mass contribution of every species to the whole mass, so that the mass fraction is the weight factor used in its definition. 

The weighting factors m , are useful in the study of copolymers, and especially so when the copolymer is studied by scattering measurements in which the effective scattering power differs strongly for the various components of the macromolecule. Here, however, we shall assume that these differences are not important, and will adopt the simpler definition of s2 that arises when all of the m, are identical ... 

By definition, all interpretive methods of optimization require knowledge of the capacity factors of all individual solutes. This is the fundamental difference between the simultaneous and sequential methods of optimization (sections 5.2 and 5.3, respectively) and the interpretive methods of section 5.5. Moreover, in the specific cases in which only a limited number of components is of interest or in which weighting factors are assigned to the individual solutes (see section 4.6.1) it is also necessary to recognize the individual peaks (at least the relevant ones) in each chromatogram. In section 5.5 we have tacitly assumed that it would be possible to obtain the retention data (capacity factors) of all the individual solutes at each experimental location. 

The definition in (4.16) implies that the multicanonical weight factor is inversely proportional to the density of states, and we can write it as follows ... 

The definition of the average decay in eqn. (6) uses as a weighting factor the relative fluorescence yield of the 1th component ... 

The properties of random copolymers can be estimated by using weighted averages for all extensive properties, and the appropriate definitions for the intensive properties in terms of the extensive properties. Let lrq, m2,. .., mn denote the mole fractions (see Section l.D) of n different types of repeat units in a random copolymer. [The most common random copolymers have n=2. Terpolymers (n=3) are also often encountered.] The n mole fractions then add up to one, and the extensive properties of a random copolymer can be estimated by using mole fractions as weight factors ... 

Ht) to the organ or tissue (T) and the weighting factors (Wt) applicable to each of Table 5.5 Definitions Weighting Risk Coefncient... 

The enterprise establishes metrics for each criterion that characterizes how well various alternatives satisfy the criterion. In addition, the enterprise establishes weighting factors for each criterion, which distinguish the degree of importance to the trade-off analysis definition. Models (representative or simulations) are established, when needed, to support conduct of a formal or informal trade-study. The selection of models depends on the nature of the trade-off analysis, the development stage, the type of information needed, and the characteristics of interest for an alternative. Models should be vahdated prior to application in a trade-off analysis. 

---