Statement of Interpretation

Fed. Reg. 11110, Toxic Substances Control Act Statement of Interpretation and Enforcement Policy Notification of Substantial Risk (Mar. 16, 1978) (the 1978 Statement of Interpretation), now largely superseded ... 

At this point the differences between the 2003 Reporting Guidance and the 1978 Statement of Interpretation with respect to environmental effects are only of academic interest. 

In the earlier versions of the streamline upwinding scheme the modified weight function was only applied to the convection tenns (i.e. first-order derivatives in the hyperbolic equations) while all other terms were weighted in the usual manner. This is called selective or inconsistent upwinding. Selective upwinding can be interpreted as the introduction of an artificial diffusion in addition to the physical diffusion to the weighted residual statement of the differential equation. This improves the stability of the scheme but the accuracy of the solution declines. 

In this case the crack is said to have a zeroth opening. The cracks of a zeroth opening prove to possess a remarkable property which is the main result of the present section. Namely, the solution % is infinitely differentiable in a vicinity of T, dT provided that / is infinitely differentiable. This statement is interpreted as a removable singularity property. In what follows this assertion is proved. Let x G T dT and w > (f in O(x ), where O(x ) is a neighbourhood of x. For convenience, the boundary of the domain O(x ) ia assumed to be smooth. 

The revamp objectives, constraints, and requirements must be clearly stated in a statement of requirement document transmitted to the engineering contractor. The document should be sufficiently detailed and require minimum interpretation so as to avoid oversights and unnecessary site visits. 

Perturbation of structural, vibrational, and electronic features of the catalytic center by interaction with probe molecules is the most important experimental approach for understanding the accessibiUty and the reactivity of the site itself. The understanding of the system increases enormously if the experimental results are interpreted on the basis of accurate ab initio modeling. These general statements of course also hold for TS-1 [49,52,64,74-77]. Unfortunately, we do not have the space to enter into a discussion of the abim-dant computational literature published so far on TS-1 catalyst in particular and on titanoshlcates in general. The reader can find an excellent starting point in the Uterature quoted in [49,52,64,74-77,88]. 

Thus, this interpretation of follows from postulate 3 and for this reason is not included in the statement of postulate 1. 

While ANNs cannot do anything that would be impossible to accomplish using an alternative algorithmic method, they can execute tasks that would otherwise be very difficult, such as forming a model from sensory data or from data that is extracted from a continuous industrial process for which no comprehensive theoretical model exists. Their principal limitation is that the numerical model that they create, while open to inspection, is difficult to interpret. This is in marked contrast to the model used by expert systems, in which the knowledge of the system is expressed in readily interpreted statements of fact and logical expressions. Nevertheless, the power of the ANN is... 

If the flowchart P has a loop-free graph - if P is a tree - then the construction of W(P,A,B) is now quite simple. If P is loop-free there are only a finite number of paths 0, ...,on from START to STOP which are consistent and hence execution sequences. The input condition A(X) is a function only of the inputs, of course, while the output condition B(X,Y) can be regarded as a function of the input and of the final values of all the program variables (some of these values, of course, may play no role in the statement of the condition). Notice that under these conditions, when is a complete execution sequence from START to STOP, the path verification condition VCPjO AB, ) for any interpretation I is a function of the input X alone. 

Any finite interpretation is necessarily recursive. There are only a finite number of function letters and predicate letters in P and so for each finite domain D only a finite number of possible assignments of functions from iP to D or eP to 0,1. We can recursively enumerate all finite interpretations. A program must loop if it ever enters the sane statement twice with all values specified alike. If finite domain D of interpretation I has d objects and P has n statements and m variables of any kind, then any execution sequence under I with more than ncP steps must twice enter the same statement with the same specification of all variables and hence must represent an infinite loop. Hence for each input vector a computation (P,I,a) diverges if and only if it fails to halt within ndm steps. So for each finite interpretation we can decide whether P baits for some inputs or all inputs. Thus (5) and (6) are partially decidable. 

This statement of Schmitz s caused great concern among the entire group of I.G. Farben leaders since it was believed that it contained wrong conclusions and we decided to work out a complete statement in which we gave the right interpretation.. .. ... 

Lavoisier s dictum that physics should precede chemistry became a logicohistorical interpretation, as he meant it to be, instead of a statement of pedagogical or disciplinary strategy. Paradoxically, the contemporary prestige of physics is associated with this logicohistorical tradition and with the classical and aesthetic appeal of abstract mathematics, rather than with the precision laboratory tradition on which much of modern physics, like chemistry, is based. The founder myth of Lavoisier has been perpetuated in the hagiography of the disciplinary clan of chemistry because of his role not only in the conceptual and linguistic foundations of nineteenth-century chemistry but also in a community of practitioners who refined the social definition of the chemical discipline its formal distinction from "physique" in the Paris Academy, its autonomous status as the subject of the Annales de Chimie, its Janus-faced position astride the abyss that previously divided the philosophical science of the university from the technical practice of the laboratory. 

In some circumstances the laboratory has to include a statement of measurement imcertainty also in its report, especially when the measurement imcertainty is relevant for the interpretation of the data with regard to a specification limit (see slides 53). 

Present tense is used to make statements of fact, to identify information reported in the paper, and to state beliefs or interpretations expected to be true over time ... 

The cost of these behaviours was far greater than could be measured in pounds, shillings and pence. The greater price was exacted in the degradation of family relationships, in the loss of trust and respect. It meant that nothing was taken at face value, even a statement of affection was apt to be interpreted as manipulative ... 

GMP requirements for manufacturers of pharmaceutical dosage forms are discussed below. This information should not be considered to be an exact statement of the law. We have attempted to show intent and, occasionally, add some comments that will clarify how that particular regulation is interpreted. For precise wording of a regulation, refer to the CFR and then check the Federal Register to determine if there have been any changes since the last update. 

The process of providing an answer to a particular analytical problem is presented in Figure 2. The analytical system—which is a defined method protocol, applicable to a specified type of test material and to a defined concentration rate of the analyte —must be fit for a particular analytical purpose [4]. This analytical purpose reflects the achievement of analytical results with an acceptable standard of accuracy. Without a statement of uncertainty, a result cannot be interpreted and, as such, has no value [8]. A result must be expressed with its expanded uncertainty, which in general represents a 95% confidence interval around the result. The probability that the mean measurement value is included in the expanded uncertainty is 95%, provided that it is an unbiased value which is made traceable to an internationally recognized reference or standard. In this way, the establishment of trace-ability and the calculation of MU are linked to each other. Before MU is estimated, it must be demonstrated that the result is traceable to a reference or standard which is assumed to represent the truth [9,10]. 

The above is not a complete statement of the theory of matter of Aristotle, but will, it is hoped, give an idea of the elaborateness and complexity of the Aristotelian concept, and serve to illustrate how far removed was his method of developing the theory from the inductive methods of modern science. The concept of the four elements as qualitative factors in the constitution of other bodies, with their inherent forces of heat, cold, moist, dry, became accepted by later centuries as basic truth. His notion of a fifth element, variously interpreted, also held a place in the thought of later times, but his more complex notions of the nature of the elements and matter had little influence on the later development of natural philosophy. 

In the treatment of these subjects Porta includes statements of the ancients from the time of Theophrastus and Aristotle, as well as the contemporary knowledge of his own time, not always with any critical discrimination between the ancient interpretations and the more modern facts. Thus under the heading To change stibium into lead 37 he says, if you frequently heat and burn stibium which the chemists call regulus you will burn it into lead, because we see it noted by Dioscorides saying, Stibium if heated somewhat further is turned into lead. The chemists of Porta s time by the regulus of antimony or stibium, meant metallic antimony, and no longer considered... 

A biological interpretation of this problem in terms of population dynamics could be as follows both prey animals A and predators B living on them are reproduced by division in a medium with a spontaneous production of food E for them. With these studies in mind the model has to be slightly modified any new predator B is bom after killing the prey animal A with the probability < 1, which needs in our statement of the problem just a trivial replacement of /zB(r) for /ttB(r). 

Then a mathematical statement of Bom s interpretation is iff2 dx is equal to the probability of finding the particle in the region between x and x + dx. A wavefunction which satisfies eqn 2.34 is said to be normalized. This condition is necessary for the strict statement of Bom s interpretation, as the... 

Unlike activity, stability of enzymes is often interpreted simplistically as thermal stability, i.e., a temperature beyond which the enzyme loses stability. Although this quantity is important, first every statement of stability at a certain temperature depends on exposure time and thus is often ambiguous and second, for biocatalytic process applications, a more important quantity is the process or operational stability, which is the long-term stability under specified conditions. 

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