Self-Evidentness

It can be concluded, that indications with lengths of more than about 1.5 mm can be detected with high probability (100%). This confirms with the recommended smallest acceptance level (optimum conditions) of 1.5 mm (registration level) in various product standards (e g. as [10]). It is self evident that smaller indications (1 = 0.6 mm) will be detected too, but the correlations explained above, clearely indicates a decreasing probability of detection with decreasing length of indications. 

Certain types of equipment are specifically excluded from the scope of the directive. It is self-evident that equipment which is already regulated at Union level with respect to the pressure risk by other directives had to be excluded. That is the case with simple pressure vessels, transportable pressure equipment, aerosols and motor vehicles. Other equipment, such as carbonated drink containers or radiators and piping for hot water systems are excluded from the scope because of the limited risk involved. Also excluded are products which are subject to a minor pressure risk which are covered by the directives on machinery, lifts, low voltage, medical devices, gas appliances and on explosive atmospheres. A further and last group of exclusions refers to equipment which presents a significant pressure risk, but for which neither the free circulation aspect nor the safety aspect necessitated their inclusion. 

It will be recognized that this generalizes the result proved by Baer in [72]. Though that work did establish the validity of the curl condition for the derivative operator as long as some 25 years ago and the validity is nearly trivial for the second term taken separately, the same result is not self-evident for the combination of the two teiins, due to the nonlinearity of F X). An important special case is when G(R) = R /2. Then... 

We shall find the equation that best fits the points in columns 1 and 3 of Table 1-3 with TableCurve. On opening TableCurve, one is presented with a blank desktop with several commands at the top. The command to enter data is not Enter but Edit. Two formats are available, the TableCurve editor and the ASCII editor. The TableCurve format is probably a little simpler than the ASCII format, but they are both fairly self-evident and either should yield a data file resembling the data... 

We have assumed that the order of the subscripts on the atomic orbitals p is immaterial in writing a, p, and S. In the general case, these assumptions are not self-evident, especially for p. The interested reader should consult a good quantum mechanics text (e.g., Hanna, 1981 McQuarrie, 1983 Atkins and Eriedman, 1997) for their justification or critique. 

Dating. The useflilness of dating techniques in the study of art objects, either for authentication purposes or in the evaluation of their historical context, is self evident (41,42). 

Some treatments are practiced so widely that untreated material is essentially unknown ia the jewelry trade. The heating of pale Fe-containing chalcedony to produce red-brown carnelian is one of these. Another example iavolves turquoise where the treated material is far superior ia color stabiUty. Such treatments have traditionally not been disclosed. Almost all blue sapphire on the market has been heat treated, but it is not possible to distinguish whether it was near-colorless comndum containing Fe and Ti before treatment, or whether it had already been blue and was only treated ia an attempt at marginal improvement. The irradiation of colorless topa2 to produce a blue color more iatense than any occurring naturally is, however, self-evident, and treatments used on diamond are always disclosed. 

Titles of periodicals are defined as in the Chemical Abstracts Service Source Index (CASSI), except that full stops have been omitted after each abbreviated word. Abbreviations of words in the texts of Chapters 4, 5 and 6 are those in common use and are self evident, e.g. distn, filtd, cone and vac are used for distillation, filtered, concentrated and vacuum. 

Abbreviations of titles of periodicals are defined as in the Chemical Abstracts Service Source Index (CASSI). Other abbreviations are self evident (see Chapter 1, p. 30). 

GPSA provides an extremely handy nomograph for cooling tower performance evaluation. The use of the nomograph is almost self-evident, especially with the examples that GPSA provides, condensed here. 

In this study phase, we determine exactly what the licensor is proposing, validate his claims, and do major side studies for decisions on process changes or additions. The necessity to complete this phase prior to detailed equipment specification is self-evident. 

Mathematica hasthisfunctionandmanyothersbuiltintoitssetof "add-on" packagesthatare standardwiththesoftware.Tousethemweloadthepackage "Statistics NormalDistribution The syntax for these functions is straightforward we specify the mean and the standard deviation in the normal distribution, and then we use this in the probability distribution function (PDF) along with the variable to be so distributed. The rest of the code is self-evident. 

There is another relation between g r) and thermodynamics. In contrast to Eqs. (9) and (10), that are almost self evident, this relation is subtle and is related to the term of order l/N that has been mentioned its derivation requires care. Here, we will content ourselves to quoting the result. 

In companies in which senior management has strong operating experience, the concepts behind PSM are more likely to be self-evident. Similarly, some senior managers may have an ongoing interest in process safety and be knowledgeable about CCPS initiative. In these cases you can limit your preliminary discussion of PSM principles to a brief summary. 

As discussed in Chapter 2, most of the basic resources you will need are fairiy self-evident time of staff will almost certainly be the latgest single cost. Support expenses and travel also require funding. In addition, in the course of yourwork to date you may have identified specific resource requirements, such as computer software for hazard analysis or project management, or consulting services that fill in specific gaps in the knowledge base. 

Since the chemistry involved in the synthesis of these agents is self-evident, they are listed without comment in Table 1 below. The preparation of selected more complex basic residues is detailed in the section that follows. 

Self-evident Words. Words which are common to English and German (even with a slight variation in spelling), and which are therefore so readily recognized that they are not likely to be looked up, are omitted from the vocabulary, unless there is a special reason for inserting them. 

The various terms appearing in these equations are self-evident. The differential heat release, dkidt, data are computed from differential scanning calorimetry (DSC). A typical DSC isotherm for a polyurethane reactive system appears in Fig. 11. Energetic composite processing is normally conducted under isothermal conditions so that Eq. (15) is more applicable. 

It is self-evident that fewer permanent obstructions within the perimeter provide a greater potential flexibility of operations. However, larger spans are bought only at the expense of structure. Columns may also perform other functions, apart from roof support ... 

Maintenance expenses. The nature of these is generally self-evident, but long-term maintenance contracts, insurance inspection fees and any subsequent requirements arising therefrom should not be overlooked. Inspections are commonly undertaken at weekends, at premium labor rates. 

Both lead ion and dichromate ion yield a diffusion current at an applied potential to a dropping mercury electrode of —1.0 volt against the saturated calomel electrode (S.C.E.). Amperometric titration gives a V-shaped curve [Fig. 16.14 (C)]. The exercise described refers to the determination of lead in lead nitrate the application to the determination of lead in dilute aqueous solutions (10-3 — 10-4lVf) is self-evident. 

My project is not to critique of the power of quantum chemistry that I regard to be a self-evident fact. But with the triumph of quantum mechanics I believe there has been some tendency to exaggerate its success, especially on the part of some practicing quantum chemists and physicists. As a philosopher of chemistry I have the luxury of being able to examine the field as an outsider and of asking the kinds of questions which true practitioners might not even contemplate. The approach I take in this article is a philosophical one in the sense that I am concerned with principles and not just with technical details, although I try to be as accurate as possible with the latter. 

This is by no means a self-evident truth it is a physical law based on experience, and depends on the property of temperature equilibrium. 

We shall assume that Tx is always positive, i.e., if the temperature of a system is raised at constant configuration, heat is absorbed. As Duhem (Mecaniquc eliimique, I., 164) points out, this is by no means self-evident, because there are some heat capacities which are negative the heat capacity at constant configuration, Fx, appears, however, always to be positive. 

It is now fairly well established that atomic and few-atom cluster arrays can be generated and trapped in weakly interacting matrices 91), and subsequently scrutinized by various forms of spectroscopy. Up to this time, IR-Raman-UV-visible absorption and emission-esr-MCD-EXAFS-Mossbauer methods have been successfully applied to matrix-cluster samples. It is self-evident that an understanding of the methods of generating and identifying these species is a prerequisite for... 

The following guidance notes pertaining to each situation and the alternative courses of action provided are not intended to be comprehensive and exhaustive. Many of the positive and negative aspects of any of the courses of action will be self-evident, and may arise out of group discussions. The notes are intended as guidance only. 

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