Factorization procedure

The components of each factor can be evaluated at two levels of detail. An example of these levels for the factor "Procedures and Job Aids" is provided in Figure 2.12. If the question indicates that the first level (e.g., content and reliability) is deemed to be inadequate then more questions are available at the next level of detail (the topic level) to provide additional information on the nature of the problem. For each topic, further questions are provided at a greater level of detail. These detailed questions (diagnostics) are intended to pinpoint the precise nature of a deficiency and also to provide insights for remedial action. 

In addition to the management level factors which can be specifically linked to operational level factors (procedures, training, and design), the HFAM tool also provides an assessment of other management level factors which will impact upon error likelihood in a less direct way. Some of these factors, for example, "safety priorities" and "degree of participation," are... 

In this chapter the use of Q-R factorizations with the purpose of system decomposition and instrumentation analysis, for linear and bilinear plant models, is thoroughly investigated. Simple expressions are provided using subproducts of Q-R factorizations for application in data reconciliation. Furthermore, the use of factorization procedures... 

Remark 2. The permutation matrix IIU, obtained as a by-product of the Q-R factorization procedure of A2, enables an easy classification of the unmeasured process variables, as is indicated by Eq. (4.15). The variables in subset un ru correspond to the minimum number and the location of measurements needed for the system to satisfy the estimability condition, that is, that all unmeasured variables be determinable. 

The unmeasured variables are then eliminated using, for example, the orthogonal factorization procedure discussed before. Once the subset of equations containing only measured variables has been identified, the problem stated by Swartz (1989) is resolved ... 

As we saw in Chapter 8, elimination reactions often compete with nucleophilic substitution reactions. Both reactions can be useful in synthesis if this competition can be controlled. This chapter discusses the two common mechanisms by which elimination reactions occur, the stereochemistry of the reactions, the direction of the elimination, and the factors that control the competition between elimination and substitution. Based on these factors, procedures are presented that can be used to minimize elimination if the substitution product is the desired one or to maximize elimination if the alkene is the desired product. 

The evaluated multiplication factor of fuel in storage racks under normal and AOEs should be equal to or less than an estabIi shed max i mum mu 11 i pIi cat i on factor. Procedures for determining the limiting multiplication factor are given in detail in ANSI/ANS-8.1-1983, American National Criticality Safety in Operation with Fissionable Materials Outside Reactors. 

The first term in eq. (4.32) corresponds to the potential scattering. In order to estimate the second term one can use the factorization procedure for the potential scattering wave function inside the range of the nuclear potential [75]. 

Health and Safety Executive (HSE). (2008). Human Factors Procedures. London Health and Safety Executive (http //www.hse.gov.uk/humanfactors/comah/procedures.htm). 

The Cooley-Tukey algorithm is general and can be applied to any Fourier transform, but the computation is greatly simplified if AT is a base 2 number, that is, AT = 2 , where a is a positive integer. The factorization procedure may be demonstrated easily for the case when AT = 4 = 2. In this example, Eq. 4.13 becomes... 

The B component contains only the vertices a, whereas the A component contains only the vertices z, and b,. The rules for determining the edge weights of the A and B components are analogous to those given for the general two-fold symmetry factoring procedure outlined above. 

Application of the symmetry factoring procedure using a symmetry element of period three (Davidson s Z3 automorphism reduction ) outlined above to a connected graph G leads to a disconnected graph G with three components, namely one A component (t = 0) and two identical E components (t = I and 2). 

Figures 11-14 discuss some specific examples of the symmetry factoring procedures outlined in the previous sections of this article. These examples involve primarily polyhedra of chemical interest. The special features of the.se examples are discussed below.

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