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A phrase such as "seriously contaminate" is known as a linguistic variable it gives an indication of the magnitude of a parameter, but does not provide its exact value. Subjective knowledge is expressed by statements that contain vague terms, qualifications, probabilities, or judgmental data. Objects described by these vague statements are more difficult to fit into crisp sets. [Pg.241]

The desulfurization process reported by the authors was a hybrid process, with a biooxidation step followed by a FCC step. The desulfurization apparently occurs in the second step. Thus, the process seems of no value, since it does not remove sulfur prior to the FCC step, but only oxidizes it to sulfoxides, sulfones, or sulfonic acids. The benefit of such an approach is not clearly outlined. The benefit of sulfur conversion can be realized only after its removal, and not via a partial oxidation. Most of the hydrotreatment is carried out prior to the FCC units, partially due to the detrimental effect that sulfur compounds exert on the cracking catalyst. It is widely accepted that the presence of sulfur, during the regeneration stage of the FCC units, causes catalyst deactivation associated with zeolite decay. In general terms, the subject matter of this document has apparent drawbacks. [Pg.292]

The coefficients from Table 2-1 and atomic term values from Table 2-2 will suffice for calculation of an extraordinarily wide range of properties of covalent and ionic solids using only a standard hand-held calculator. This is impressive testimony to the simplicity of the electronic structure and bonding in these systems. Indeed the. same parameters gave a semiquantitativc prediction of the one-electron energy levels of diatomic molecules in Table 1-1. However, that theory is intrinsically approximate and not always subject to successive correc-... [Pg.53]

We close this section hy observing that for S states, the first term of equation (28) is a correct description of the contributing part of T for systems with any number of particles, N. In that case, the i summation is from 1 to N, and the remaining summations are over all index values subject to the indicated restrictions and consistent with the system size. [Pg.138]

The term pitch is used in music to refer to the frequency of a musical note and it is intemationally agreed that the musical note known as Treble A should have a frequency of 440 Hz for concerts. However, the absolute value of frequency is probably less important than the relative frequency between notes in terms of subjective musical appreciation. Relative frequencies in simple ratios lie at the heart of music, for example, an octave is double the frequency (2 1), the minor third is 6 5, the major third is 5 4, the fourth is 4 3, the fifth is 3 2, the minor sixth is 8 5, and the major sixth is 5 3. On a stringed instrament the octave is played by holding down a string at half its length. [Pg.348]

There is a line of degeneracies at the equilateral geometries, S — 0, and deviations from the degeneracy line are expressed in terms of u and v, subject at a given value of Q to Q, this bounding circle being the locus of linear... [Pg.29]

The requirement of having two negative values and one positive is also fulfilled. Since this subject has been treated several times before (see Sections Vin and IX) it will be discussed within the next subject, related to the locations of the negative terms, that requires some analysis. [Pg.711]

Clearly, the intended use of a collection item is extremely important to determining the acceptabiHty of a treatment. The degree to which a treatment affects appearance is obviously of the greatest importance for an art object. On the other hand, in natural history collections the collections serve as research resources above all. The effect a preservation or conservation treatment has on these research appHcations is the main consideration. Collections of art, archaeology, history, science, technology, books, archival materials, etc, all have their own values in terms of balance between preservation needs and collections use, and these values are, moreover, constantly subject to reevaluation and change. [Pg.430]

Thousands of technical papers and many books have been written on the subject of phenolic resins. The polymer is used in hundreds of diverse applications and in very large volumes. It is used worldwide. In fact the term phenolic resin encompasses a wide variety of materials based on a broad range of phenols and co-monomers. In this short article, we cannot expect complete coverage. Our hope is that we can provide an understanding of the fundamental chemistries, uses, and values of these materials as well as enough references to permit the interested reader to begin his own exploration of the topic. [Pg.869]

This chapter provided a common basis for understanding the assigning of numerical values to "risk." in the context of probability as the behavior of an ensemble of plants. Predictions of short-term behavior are subject to statistical fluctuations and may be very misleading. Qualitative... [Pg.33]

These are the characteristics which need to be specified and their achievement controlled, assured, improved, managed, and demonstrated. These are the characteristics which form the subject matter of the specified requirements referred to in ISO 9000. When the value of these characteristics is quantified or qualified they are termed quality requirements or requirements for quality. ISO 8402 1994 defines requirements for quality as an expression of the needs or their translation into a set of quantitatively or qualitatively stated requirements for the characteristics of an entity to enable its realization and examination. While rather verbose, this definition removes the confusion over quality requirements and technical requirements. (An additional definition is provided in Appendix A.) Technical requirements for a product or service are quality requirements. The requirements of ISO 9000 are quality system requirements. [Pg.25]

The first term in the brackets is the expectation value of the square of the dipole moment operator (i.e. the second moment) and the second term is the square of the expectation value of the dipole moment operator. This expression defines the sum over states model. A subjective choice of the average excitation energy As has to be made. [Pg.289]

Additionally, there may be COj, HjS or bacteria present, all of which substantially increase the corrosivity of formation waters. Furthermore, whilst in a young oil and gas well the levels of produced formation waters (termed watercut ) may well be very low, at later stages of maturity, the watercut may reach values in excess of 90%. Consequently, oil and gas production systems may often be subject to increasing corrosion risk with time. [Pg.63]


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See also in sourсe #XX -- [ Pg.585 ]




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