Greatest element

If there is only one maximal element, then this is also called a greatest element. In Fig. 5, there is no greatest element, however in Fig. 4 element D is a greatest element. 

A lattice is a set, a partial order on the elements of this set, a least element i., and a greatest element T. 

Let P be a finite set of atomic propositions. Let M = (5, T, /, L) be a finite Kripke structure over P. We consider the lattice (2, C) of subsets of S with set inclusion as the ordering. The empty set and S are respectively the least and greatest elements of this lattice. Since a subset of S can be identified with its characteristic function, this lattice can also be interpreted as the lattice... 

Thus these methods contain an element of biological variation. Immvmoelectrophoretic methods contain the greatest element of irreproducibility as they need antibodies as an integral part of the analytical system. Therefore results may vary enormously from one batch of antibodies to the next, and results should be interpreted with caution. The antibodies are generally polyclonal, either monospecific or polyspecific. Monoclonal antibodies may be used, depending on the purpose of the analysis. Especially... 

Deductions of bond lengths for any unknown can be made by adding bond radii, but these theoretical values often differ from the experimental values the greatest deviations occur when elements of widely different electronegativities are joined together. 

Manufacture. Phosphoric acid, H PO, is the second largest volume mineral acid produced sulfuric acid is the first. The greatest consumption of phosphoric acid is in the manufacture of phosphate salts, as opposed to direct use as acid. Markets are differentiated according to the purity of the acid. Phosphoric acid is produced commercially by either the wet process or the thermal (furnace) process. Thermal acid, manufactured from elemental... 

The chemistry of Th(IV) has expanded greatly since the mid-1980s (14,28,29). Being a hard metal ion, Th(IV) has the greatest affinity for hard donors such as N, O, and light haUdes such as F and CF. Coordination complexes that are common for the t7-block elements have been studied for thorium. These complexes exhibit coordination numbers ranging from 4 to 11. 

Barium is a member of the aLkaline-earth group of elements in Group 2 (IIA) of the period table. Calcium [7440-70-2], Ca, strontium [7440-24-6], Sr, and barium form a closely aUied series in which the chemical and physical properties of the elements and thek compounds vary systematically with increa sing size, the ionic and electropositive nature being greatest for barium (see Calcium AND CALCIUM ALLOYS Calcium compounds Strontium and STRONTIUM compounds). As size increases, hydration tendencies of the crystalline salts increase solubiUties of sulfates, nitrates, chlorides, etc, decrease (except duorides) solubiUties of haUdes in ethanol decrease thermal stabiUties of carbonates, nitrates, and peroxides increase and the rates of reaction of the metals with hydrogen increase. 

Barium hydroxide is the strongest base and has the greatest water-solubility of the alkaline-earth elements. Barium hydroxide (barium hydrate, caustic baryta) exists as the octahydrate [12230-71 -6], Ba(OH)2 8H20, the monohydrate [22326-55-2], Ba(OH)2 H20, or as the anhydrous [17194-00-2] material, Ba(OH)2. The octahydrate and monohydrate have sp gr 2.18 and 3.74, respectively. The mp of the octahydrate and anhydrous are 77.9 °C and 407°C, respectively. 

Of course, several of these pollution-prevention elements are used by industiy in combination to achieve the greatest waste reduction. Residual wastes that cannot be prevented or otherwise managed are then disposed of only as a last resort. 

The failure determining stresses are also often loeated in loeal regions of the eomponent and are not easily represented by standard stress analysis methods (Sehatz et al., 1974). Loads in two or more axes generally provide the greatest stresses, and should be resolved into prineipal stresses (Ireson et al., 1996). In statie failure theory, the error ean be represented by a eoeffieient of variation, and has been proposed as C =0.02. This margin of error inereases with dynamie models and for statie finite element analysis, the eoeffieient of variation is eited as Q = 0.05 (Smith, 1995 Ullman, 1992). 

Particulate emissions have their greatest impact on terrestrial ecosystems in the vicinity of emissions sources. Ecological alterations may be the result of particulate emissions that include toxic elements. Furthermore, the presence of fine particulates may cause light scattering, known as atmospheric haze, reducing visibility and adversely affecting transport safety, property values, and aesthetics. 

As part of developing the PSM implementation plan (Chapter 5), you and the team identified benefits unique to the approach you selected, using them to help win management s approval. For example, your plan may focus on priority elements because the assessment you conducted suggests that this method will yield the greatest overall improvement in safety performance. And, as part of the pilot test described in this chapter, you focused on facility-specific benefits to enlist the support of local management and staff. 

Each filled cell in Exhibit 2-9 shows where PSM or ESH programs and elements meet a particular ISO 9000 requirement. Exhibit 2-9 provides a powerful visual impression of the overlap between PSM, ESH, and Quality Management. Further, it is possible to quickly see where the greatest benefits may arise. By examining Exhibit 2-9 initial priorities for attention in our example might be ... 

This type of transhalogenation reaction, which is common amongst the halides of main group elements, always proceeds in the direction which pairs the most electropositive element with the most electronegative, since the greatest amount of energy is evolved with this combination. 

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