Largest number

Xp is chosen to satisfy the minimum allowable Ft (e.g., for Ft > 0.75, Xp = 0.9 is used). Once the real (noninteger) number of shells is calculated from Eq. (7.14), this is rounded up to the next largest number to obtain the number of shells. 

The microcanonical ensemble is a certain model for the repetition of experiments in every repetition, the system has exactly the same energy, Wand F but otherwise there is no experimental control over its microstate. Because the microcanonical ensemble distribution depends only on the total energy, which is a constant of motion, it is time independent and mean values calculated with it are also time independent. This is as it should be for an equilibrium system. Besides the ensemble average value (il), another coimnonly used average is the most probable value, which is the value of tS(p, q) that is possessed by the largest number of systems in the ensemble. The ensemble average and the most probable value are nearly equal if the mean square fluctuation is small, i.e. if... 

The largest number of programs have been designed to model only a select type of chemistry, such as heterocyclic chemistry, phosphorous compounds, or DNA. A number of programs have been constructed to describe organic chemistry in general. There has been very little work toward full periodic table systems. 

Organic molecules are the easiest to model and the easiest for which to obtain the most accurate results. This is so for a number of reasons. Since the amount of computational resources necessary to run an orbital-based calculation depends on the number of electrons, quantum mechanical calculations run fastest for compounds with few electrons. Organic molecules are also the most heavily studied and thus have the largest number of computational techniques available. 

Should there be a choice for the fundamental straight chain of a radical, that chain is selected which contains (1) the maximum number of double and triple bonds, (2) the largest number of carbon atoms, and (3) the largest number of double bonds. These are in descending priority. 

If the characteristic group occurs in more than one cyclic system, that system is chosen as parent which (a) carries the largest number of the principal group or, failing to reach a decision, (b) is the senior ring system. 

If the characteristic group occurs both in a chain and in a cyclic system, the parent is that portion in which the principal group occurs in largest number. If the numbers are the same, that portion is chosen which is considered to be the most important or is the senior ring system. 

Albumen has the largest number of acid and basic groups. It is the most soluble of the proteins present in a hide. The albumen is not a fibrous material, however, and therefore has no value in the leather. Keratin is the protein of the hair and the outermost surface of the hide. Unless the hair is desired for the final product it is removed by chemical and/or physical means. The elastin has Htde acid- or base-binding capacity and is the least soluble of the proteins present. The lack of reactivity of the elastin is a detriment for most leather manufacture. The presence of elastin in the leather greatly limits the softness of the leather. 

Theoretically, the dye or chromogen can be any colored species. Of course, requirements for fastness, solubiUty, tinctorial value, ecology, and economy must be met. Most commonly used chromophores parallel those of other dye classes. Azo dyes (qv) represent the largest number with anthraquiaone and phthalocyanine making up most of the difference. Metallized azo and formazan dyes are important and have gained ia importance as a chromophore for blue dyes duriag receat years (6) (see Dyes and dye intermediates). 

By far the largest number of industrial evaporators employ tubular heating surfaces. Circulation of liqmd past the heating surface may be induced by boiling or by mechanical means. In the latter case, boiling may or may not occur at the heating surface. 

Stomach Cancer. Of all the cancers, that of the stomach causes the second largest number of deaths. Only lung cancer kills more men, and only breast cancer kills more women. Stomach cancer is a painful and debilitating way to die, and the link to nitrate in water that has been suggested is a serious matter. There... 

On looking at all the facts presented, the patient will attain, comparatively speaking, the least satisfactory outcome with the clas.sical tea or tea mixture, because the preparation of the tea encompasses the largest number of uncertain factors. Rather belter results are to be expected from tea bags (outside pharmacies, nowadays this is the form of tea which has by far the largest part of the market), provided that the requirements of quality of content... 

Figure 7.1-1 shows an increasing trend in the cost of these accidents, including inflation. The five-year period from 1992-1996 had three times more losses than the period 1967-1971, The period 1987-1991 had the largest total loss and also the largest number of losses (31), which is about five times more loss than the period 1967- 71. 

The crown esters are actually macrocyclic lactones, the bulk of which rings are ethyl-eneoxy units. By far, the largest number of such compounds have been prepared by Bradshaw and his co-workers. Representative examples of such compounds are shown below. The name crab ethers has occasionally been applied to such structures, but as with the aquatic species noted above, this name has not found wide acceptance. 

The four queries were examined against a list of samples tested on Whelk CSP that constitutes our search domain. Search results are summarized in Table 4-3. Of the 616 3D structures in this database list, 370 fit at least one of the query (one sample may fit more than one query) and 335 are given as resolved according to chromatographic data or information reported in the field comment. Query 2 retrieved the largest number of compounds with a high percentage of resolved samples in the hit list. While the number of hits retrieved with Query 1 is lower, this query provided a similar proportion of resolved samples (93 %). 

When a nonmetal forms more than two oxoanions, the prefixes per- (largest number of oxygen atoms) and hypo- (fewest oxygen atoms) are used as well... 

Heterogeneous Non-uniform composition, 4 catalysis, 305-306 equilibrium, 329-331 High-density lipoprotein, 603 High-spin complex A complex that, for a particular metal cation, has the largest number of unpaired electrons, 419 Hindenburg, 111... 

The largest numbers of integrins are members of the (31 integrins, also known as the very late antigen (VLA) subfamily because of its late appearance after activation. There are at least seven receptors characterized from this subfamily, each with different ligand specificity. Among the most studied include the 04(31 and a5 31 receptors. The leukocyte integrin a4 31 is a cell adhesion receptor that is predominantly expressed on lymphocytes, monocytes and eosinophils. 

Systems consisting of both Lewis acids SbX5 and complex anions SbYsZ possess the tendency to form the anion preferably with the largest number of F-, after which those of Cl-atoms by halide transfer. 

These values show that from the two possible alternatives of ion formation that one is preferred, which leads to the formation of an anion with the largest number of F-, after which, of Cl-ligands. It is remarkable that ionization in Lewis acid mixtures is favoured versus that in pure Lewis acids in all cases. This could be the reason why the polymerization conversion increases when using Lewis acid mixtures as initiators. However, it should be pointed out here that the quantum chemical reaction energies employed are only then comparable with each other, when they are valid for the same process used for modelling the reactions. 

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