Empire, the

Unfortunately, despite much research into the fundamentals of catalysis, the choice of catalyst is still largely empirical. The catalytic process can be homogeneous or heterogeneous. 

Empirically, the Dice coefficient has worked better than cosine similarity in retrieving actives and is the standard choice for use with the ap and tt descriptors. 

Here A is a parameter, calculable in principle from the properties of the adsorbent and adsorptive, but in practice empirical the index 3 arises from the integration of the r" term in Equation (1.8). 

Simultaneous heat and mass transfer also occurs in drying processes, chemical reaction steps, evaporation, crystallisation, and distillation. In all of these operations transfer rates are usually fixed empirically. The process can be evaluated using either the heat- or mass-transfer equations. However, if the process mechanism is to be fully understood, both the heat and mass transfer must be described. Where that has been done, improvements in the engineering of the process usually result (see Process energy conservation). 

Tyrian Purple was the most expensive and rare dye of the ancient world principally because only a small amount of dye could be obtained from each moUusk, roughly 0.12 mg (95). It was always considered a color of distinction and restricted to regal and ecclesiastical uses ia the Eastern Roman Empire, the heir to the throne at By2antium bore the proud name Porphjro-Genitur, bom to the purple. The Hebrews used purple ia many decorations of the Tabernacle (23). 

SemiempiricalRelationships. Exact thermodynamic relationships can be approximated, and the unknown parameters then adjusted or estimated empirically. The virial equation of state, tmncated after the second term, is an example of such a correlation (3). 

A.ssessmentofUNIFy C. UNIFAC is a method to predict the activity of binary Hquid solutions in the absence of all data except stmctural information. Because state-of-the-art real fluid estimation methods are empirical or semi-empirical, the use of more data results in improved activity estimation. 

Sulfides are intermixed with iron oxides and hydroxides on carbon steels and cast irons. The oxides are also produced in the corrosion process (Reaction 6.6). Although theoretical stoichiometry of 1 to 3 is often suggested between sulfide and ferrous hydroxide, empirically the ratio of iron sulfide to ferrous hydroxide is highly variable. Sulfide decomposes spontaneously upon exposure to moist air. Additionally, corrosion-product stratification is marked, with sulfide concentration being highest near metal surfaces. 

Dianion formation from 2-methyl-2-propen-l-ol seems to be highly dependent on reaction conditions. Silylation of the dianion generated using a previously reported method was unsuccessful in our hands. The procedure described here for the metalation of the allylic alcohol is a modification of the one reported for formation of the dianion of 3-methyl-3-buten-l-ol The critical variant appears to be the polarity of the reaction medium. In solvents such as ether and hexane, substantial amounts (15-50%) of the vinyl-silane 3 are observed. Very poor yields of the desired product were obtained in dirnethoxyethane and hexamethylphosphoric triamide, presumably because of the decomposition of these solvents under these conditions. Empirically, the optimal solvent seems to be a mixture of ether and tetrahydrofuran in a ratio (v/v) varying from 1.4 to 2.2 in this case 3 becomes a very minor component. 

With the fall of the Roman Empire, the ancient water supplies petered out. In early medieval times, people were content to conduct local water in wooden pipes to public cisterns. The first wooden pipelines for water were laid at Liibeck about 1293 and in 1365 at Nuremberg. In 1412 the Augsburg master builder Leopold Karg first used wrought-iron pipes in conjunction with wooden pipes to supply water. Because of their propensity to corrosion, they seem to have proved a failure and a few years later they were exchanged for wooden, lead, and cast-iron pipes. 

It is one of the peculiarities of herbal drugs that their indications have for the most part been determijied empirically. The reason is easily understood most herbal drugs have been used for a very long time to alleviate or cure illnesses and more especially disorders. Their introduction in therapeutics happened at a time when pharmacodynamics and pharmacokinetics were unknown concepts, when there was no Medicines Act to require proof of the quality, efficacy, and innocuity of herbal medicines. Today, when introducing a new medicine, extensive investigations are required in the interest of safety. To many the requirement of the proof of activity of such a drug as chamomile appears to be superfluous, but nevertheless, as a representative of a scientifically oriented pharma-... 

The study of acid-base interaction is an important branch of interfacial science. These interactions are widely exploited in several practical applications such as adhesion and adsorption processes. Most of the current studies in this area are based on calorimetric studies or wetting measurements or peel test measurements. While these studies have been instrumental in the understanding of these interfacial interactions, to a certain extent the interpretation of the results of these studies has been largely empirical. The recent advances in the theory and experiments of contact mechanics could be potentially employed to better understand and measure the molecular level acid-base interactions. One of the following two experimental procedures could be utilized (1) Polymers with different levels of acidic and basic chemical constitution can be coated on to elastomeric caps, as described in Section 4.2.1, and the adhesion between these layers can be measured using the JKR technique and Eqs. 11 or 30 as appropriate. For example, poly(p-amino styrene) and poly(p-hydroxy carbonyl styrene) can be coated on to PDMS-ox, and be used as acidic and basic surfaces, respectively, to study the acid-base interactions. (2) Another approach is to graft acidic or basic macromers onto a weakly crosslinked polyisoprene or polybutadiene elastomeric networks, and use these elastomeric networks in the JKR studies as described in Section 4.2.1. 

It is traditional to divide quantum-mechanical molecular models into three broad bands depending on their degree of sophistication. There are sublevels within each band, and a great deal of jargon accompanied by acronyms. Many authors speak of the level of theory . The Hiickel independent electron model of Chapter 7 typifies the lowest level of theory, and authors sometimes refer to these models as empirical . The Hamiltonian is not rigorously defined, and neither are the basis functions. Nevertheless, these models have been able to produce impressive predictions and rationalizations. 

Knowledge of how to tap the energy of wind and water was passed by both the Romans and Han Chinese to their successors. In the conservative eastern realm of the old Roman Empire (the Byzantine Empire), little was done to develop either wind power or water power, although Byzautinc vessels did make increased use of lateen sails after the eighth century. On the other hand, the western part of the old Roman Empire, perhaps due to labor shortages, saw a very significant increase in the use of both wind and water power, especially between 900 and 1300. 

ADMET reaction. The 13C NMR spectrum also allows the scientist to distinguish between cis and trans internal sp2 carbons as well as the allylic carbons, which are adjacent to the internal vinyl position. Using quantitative 13C NMR analysis, the integration of the peak intensities between die allylic carbon resonances and diose of the internal vinyl carbons gives die percentage of trans/cis stereochemistry diat is present for the polymer.22 Empirically, the ratio of trans to cis linkages in ADMET polymers has typically been found to be 80 20. Elemental analysis results of polymers produced via ADMET demonstrate excellent agreement between experimental and theoretical values. 

Figure 8. For any set of conditions, the greatest velocity that a muscle can shorten is attained when the total force opposing shortening is zero. Empirically, the maximum velocity of shortening increases with the degree of phosphorylation of myosin. This is seen as the straight line in the velocity-phosphorylation plane. The maximum force that a smooth muscle can develop is not increased by phosphorylation beyond about 25% phosphorylation. It seems therefore that past a point, phosphorylation regulates the rate at which work is being done rather than the force that can be developed. The force a muscle can develop if 25% myosin is phosphorylated is maximal and saturated however, the rate of doing work is not saturated and continues to increase with further phosphorylation.

The choice of an antibiotic agent for acute bacterial conjunctivitis is largely empiric. The initial treatment needs to include Staphylococcus coverage, but also may be chosen on the basis of cost and side-effect profile.13,14 In general, ointments are a good dosage form for children. Adults prefer drops because they do not interfere with vision.14... 

A pledged sisterhood of female friends, jin-shei represents a lifetime of commitment binding and holy. This is the story of seven jin-shei sisters the Warrior, an orphan who will do anything to protect her chosen family the Poet, who extracts a deathbed promise that alters the history of an empire the Scholar, who is led into a world of dark secrets and alchemy the Sage, who holds a position of honour in the temple the Healer, confidant to the Empress and Empress Liudan, whose quest for immortality holds the power to destroy them all... 

FIGURE 38 Lead coffin. Lead coffin (first—third centuries c.E.) from Jerusalem, Israel. Lead, widely used in many ancient civilizations, was one of the first metals to be recovered from its ores. Lead objects date back from as early as the seventh century b.c.e. In Mesopotamia molten lead was used to fasten bolts and shafts into masonry. In Syria it was made into rods used as currency, and in Greece it was cast into coins. During the Roman Empire the use of lead become so widespread that the health hazards caused by lead exposure are suspected to have been one of the factors affecting the fall of the Roman Empire. Since it is very resistant to corrosion, lead was also used by the Romans, for making coffins as the one illustrated. 

For a uniform angular velocity ( > = constant, i.e., a solid body rotation ), n = — 1, whereas for a uniform tangential velocity ( plug flow ) n = 0, and for inviscid free vortex flow co = c/r2, i.e., n = 1. Empirically, the exponent n has been found to be typically between 0.5 and 0.9. The maximum value of Ve occurs in the vicinity of the outlet or exit duct (vortex finder) at r = De/2. 

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