Admissible alternatives

Definition 10-12 Given a general example g, the set of admissible alternatives of g, denoted adm(g), is defined as follows ... 

Note that the admissible alternatives of a general example (set) are (sets of) atoms, not (sets of) ground examples. Also note that the adm relations may be infinite if variables occur in their arguments. 

The objective is again to produce partitions with the smallest possible number of subsets. This can be done as follows compute all possible admissible alternatives of Q(r), and partition them using Algorithm 10-1. Select one of the solutions that have the least number of cliques. The resulting extended algorithm is thus as follows. 

Second, the notion of general examples could be extended to the notion of constrained general examples. Constraints could indeed be attached to general examples and thus constrain the search for admissible alternatives. 

The notion of general example seems to be new. It is not related to noisy examples, because the existence of a correct admissible alternative of a general example is assumed. 

Task I In the recursive case, delete every disjunct where the general example procComp ,,yj) would have no admissible alternatives wit a = / = 1, and expand the non-recursive case wit the corresponding example Indeed, if yj is not somehow constructed in terms of tyj, then recursion is useless for testing y. 

The heat of adsorption is an important experimental quantity. The heat evolution with each of successive admissions of adsorbate vapor may be measured directly by means of a calorimeter described by Beebe and co-workers [31]. Alternatively, the heat of immersion in liquid adsorbate of adsorbent having various amounts preadsorbed on it may be determined. The difference between any two values is related to the integral heat of adsorption (see Section X-3A) between the two degrees of coverage. See Refs. 32 and 33 for experimental papers in this area. 

A thorough patient medication history should be taken at the time of admission to document all recent medication use, including nonprescription medications and use of complementary or alternative medicines. Any drug allergies or intolerances also should be documented. 

Alternatively, we may assume that there exists some (but possibly limited) knowledge about the typical concentrations involved. For each metabolite, we can then specify an interval St < S1- <. S ) that defines a physiologically feasible range of the respective concentration. Furthermore, the steady-state flux vector v° is subject to the mass-balance constraint Nv° = 0, leaving only r — rank(N) independent reaction rates. Again, an interval v(. < v9 < v+ can be specified for all independent reaction rates, defining a physiologically admissible flux space. 

Other Iron Compounds of Biological Interest.—The valency of iron in a range of ferredoxin extracts has been determined by ESCA. The structure of the Fe—S complex in a bacterial ferredoxin has been determined. The iron and sulphur atoms occupy alternate corners of a cube and four more sulphur atoms project from the iron atoms.Admission of oxygen to a neutral solution of Fe and excess penicillamine gives a red bis-complex, which is relatively stable in aqueous solution at room temperature. Quantitative... 

Historically, embryo-fetal development studies were mandatory to support inclusion of women of childbearing potential (WOCBP) in clinical trials. More recently, it has become admissible under appropriate circumstances to include WOCBP in early clinical trials before performing the embryo-fetal toxicity studies, provided that effective contraception is used. In Japan and Europe, data from adequately designed preliminary embryo-fetal toxicity studies, with as few as six females per group, may be used to support the inclusion of WOCBP in short-term clinical trials (18). The predictivity of such preliminary mammalian studies has not been established (see below), but it could be argued that they may be less predictive than alternative methods such as FETAX. We therefore expect FETAX to play an evermore important role in pharmaceutical development in the future. 

The chloride test is performed by bubbling a sample of the product into a AgN03/HN03 solution. Alternately, vacuum techniques can be used to transfer a sample of the product into a flask followed by the admission of the silver nitrate solution. T. L. Brown and H. E. LeMay, Qualitative Inorganic Chemistry, Prentice Hall, New Jersey, 1984. 

It should be remembered [39], that when evaluating data about fatigue limits in the pulsating or alternating mode which have been determined with inert fluid environments, that the corrosion fatigue may not only effect remarkably the reduction of the admissible stresses but also depends on the number of cycles (a continuous small slope of the Wohler-curve). 

The nitrides and carbides of titanium and zirconium and the carbide of hafnium are extremely hard substances, resembling metals both in appearance and in electrical conductivity. Their formulae approach AxBh but some departure from stoichiometry is possible. Each of these refractory substances has the sodium chloride structure, described alternately (p. 190) as cubic close-packed arrays of metal atoms with the small nonmetal atoms in the octahedral holes. Note, however, that the parent metals themselves do not have cubic close-packed structures. Thus, the older view of such nitrides and carbides as lattices of the parent metals that are expanded to accommodate nitrogen or carbon atoms in the holes (interstices) is not admissible. The nature of the bonding in such refractory nitrides and carbides appears to be linked to the nature of bonding in metals in general, an important and interesting topic, but best pursued in more advanced works. 

At the time of admission, the child weighed 10.8 kg (10th percentile), and height was 81 cm (5th percentile). His physical examination revealed generalized edema alternating hyper- and hypopigmented patches in the skin ... 

The checkers found that use of a commercially available solution of nickelocene in toluene (ca. 0.27 M) is less desirable, but is admissible with certain modifications of the above procedure. If such a solution is used directly, the amount of (C6H60)3P should be increased to 225 mmoles and a reaction time of 3 days allowed, to give a yield of 53%. Alternatively, the toluene may be vacuum-stripped prior to addition of the triphenyl phosphite. Again, an excess of phosphite (325 mmoles) and a longer reaction time (24 hours) were required, giving a yield of 69%. 

Drugs placed on the surface of hair must have some mechanism for entry into the hair matrix. If a solid is placed on the hair surface, most of it can be readily removed. However, after the deposition of the solid drugs onto the hair surface, hair may be bathed at some point in an aqueous media, be that sweat, sebum, normal hygienic solutions, or during the hair analysis procedure. Alternatively, an individual might come in contact with a solution of a drug by transfer of sweat from another individual. It is for these reasons that we and others studied solution phase transfer as the vector for admission and incorporation of drugs into hair. 

It is important that the method of randomization is actually random. Treatment allocation according to day of the week, date of birth, date of admission or by alternate cases, is not random. The investigator will often know what treatment the patient will get if they enter the trial and so these methods are open to bias. Randomization must be based on tables of random numbers or computer-generated random allocation. It is also important that randomization is secure. Central telephone randomization is preferable to other methods, such as sealed envelopes containing the treatment allocation. 

In an alternative sequence, 0-acyl thiohydroxamates are reacted with tris(phenylthio)antimony to give the corresponding alkylbis(phenylthio)antimony compound. On admission of air Ais latter species undergoes oxygen insertion and rearrangement. Finely, hydrolysis provides the alcohol (Scheme 3 and equation 44). 

It is hard to admit to a mistake and such admissions can, under adverse situations, be career killing. But to take the other alternative of deciding not to make the correct change, increases the number of potential problems and potential liability for the individuals involved and their companies. Like cancer, the sooner it is discovered and treated, the better it will be. 

The rare-earth hydrides are prepared by heating the metal (> 200 C) under to initiate the reaction after equilibrium is reached the sample is slowly cooled to RT. Alternatively, the metal is first heated in vacuum, followed by admission of gas and slow cooling to RT. Finely divided metal can react with even at RT. Initial heating removes surface oxidation and other surface impurities. 

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