Avoiding the Problem

These systems are solved by a step-limited Newton-Raphson iteration, which, because of its second-order convergence characteristic, avoids the problem of "creeping" often encountered with first-order methods (Law and Bailey, 1967) ... 

Ldwdin population analysis avoids the problem of negative populations or populations greater than 2. Some quantum chemists prefer the Ldwdin approach to that of Mulliken as the charges are often closer to chemically intuitive values and are less sensitive to basis set. 

Choosing a standard GTO basis set means that the wave function is being described by a finite number of functions. This introduces an approximation into the calculation since an infinite number of GTO functions would be needed to describe the wave function exactly. Dilferences in results due to the quality of one basis set versus another are referred to as basis set effects. In order to avoid the problem of basis set effects, some high-accuracy work is done with numeric basis sets. These basis sets describe the electron distribution without using functions with a predefined shape. A typical example of such a basis set might... 

Multistep Thermochemical Water Splitting. Multistep thermochemical hydrogen production methods are designed to avoid the problems of one-step water spHtting, ie, the high temperatures needed to achieve appreciable AG reduction, and the low efficiencies of water electrolysis. Although water electrolysis itself is quite efficient, the production of electricity is inefficient (30—40%). This results in an overall efficiency of 24—35% for water electrolysis. 

A vacuum-retort process (Pidgeon process) was used during World War II for the production of magnesium and calcium. SiHcon, in the form of ferrosihcon, was used as the reducing agent instead of carbon to avoid the problem of cooling magnesium vapor in the presence of carbon dioxide ... 

FrielA,nderSynthesis. The methods cited thus far all suffer from the mixtures which usually result with meta-substituted anilines. The use of an ortho-disubstituted benzene for the subsequent constmction of the quinoline avoids the problem. In the FrieWider synthesis (52) a starting material like 2-aminoben2aldehyde reacts with an CX-methyleneketone ia the presence of base. The difficulty of preparing the required anilines is a limitation ia this approach, but 2-nitrocarbonyl compounds and the subsequent reduction of the nitro group present a usehil modification (53). 

The synthetic techniques of in generation of the quinone and utilisation of quinone monoacetals avoid the problems of instability, sequential... 

Dipped Goods. Gloves with and without cloth support are a typical example. Unsupported appUcations involve specialty medical gloves and weather balloons. Eor CR to compete with less expensive natural mbber, it must provide added value. Natural mbber medical examination gloves contain proteins that can cause an allergic reaction in both patients and medical personnel. Polychloroprene gloves avoid the problem for those individuals, but are too expensive for general use. Natural mbber weather balloons have less lift than CR balloons and are rapidly attacked by ozone in the upper atmosphere. 

Two Liquids Plus a Solid. SoHd particles may be used to stabilize an emulsion, avoiding the problem of simultaneous stabilization of both the oil drops of the emulsion and the soHd particles of the suspension. The key factor for the use of particles as stabilizers is their location. If they are located at the iaterface between the two Hquids, they will stabilize the emulsion, serving as a mechanical barrier to prevent the coalescence of the droplets (Fig. 17). 

The value of a damped response is that the areas under seals or other close clearance areas can be investigated on a dynamic basis. This can be done at any selected station on the rotor. If there is encroachment on clearance, the rotor can be tuned to avoid the problem areas. The reliability of the machine can be considered rather than arguing the need for large margins to avoid the unknown. 

Another method which might avoid the problems associated with natural pitch feeds involves producing mesophase from a synthetic precursor. Recently, Mochida et al. [30] developed a process in which mesophase is produced by the polymerization of naphthalene or methyl naphthalene, with the aid of a HF/BF3... 

Like simulated annealing, tabu search is a technique designed to avoid the problem of becoming trapped in local optima. The procedure is basically hill-climbing, which commences at an initial solution and searches the neighbourhood for a better solution. However, the process will recognize, and avoid areas of the solution space that it has already encountered, thus making these areas tabu . The tabu moves are kept in a finite list, which is updated as the search proceeds. 

Reasonable procedures for manufacturing resoles and novolacs are presented in subsequent sections. These procedures utilize the a concept known in the industry as programmed formaldehyde addition to avoid the problems mentioned above as well as aiding in control of the exothermic reactions resulting from the manufacture of the desired phenol-aldehyde products. These reactions are also extremely exothermic. 

To avoid the problems described above relative to the interpretation of the results, it is necessary to work at a lower scale. In other words, modern nanotechnology must be used to contact electrically smaller... 

Each of the membranes acts like a hard wall for dimer molecules. Consequently, in parts I and III we observe accumulation of dimer particles at the membrane. The presence of this layer can prohibit translation of particles through the membrane. Moreover, in parts II and IV of the box, at the membranes, we observe a depletion of the local density. This phenomenon can artificially enhance diffusion in the system. In order to avoid the problem, a double translation step has been applied. In one step the maximum displacement allows a particle to jump through the surface layer in the second step the maximum translation is small, to keep the total acceptance ratio as desired. 

Unwanted phases snch as liqnid sings, tramp metal, etc., can damage dry flame arrester elements so that they have to be replaced, or they can also block or ping the arrester free-area. ft is not always obvions when an arrester will be impacted by a liqnid sing or tramp metal. However, when this is snspected or has already occnrred in a process, several things can be done to avoid the problem as follows ... 

The use of this group avoids the problems associated with the oxidation of the phenylthioethyl group. 

At present moment, no generally feasible method exists for the large-scale production of optically pure products. Although for the separation of virtually every racemic mixture an analytical method is available (gas chromatography, liquid chromatography or capillary electrophoresis), this is not the case for the separation of racemic mixtures on an industrial scale. The most widely applied method for the separation of racemic mixtures is diastereomeric salt crystallization [1]. However, this usually requires many steps, making the process complicated and inducing considerable losses of valuable product. In order to avoid the problems associated with diastereomeric salt crystallization, membrane-based processes may be considered as a viable alternative. 

The thermal-convection loops are limited to flow velocities up to about 6 cm s . Where higher velocities are required, the liquid must be pumped, either mechanically or electromagnetically the latter is usually preferred as it avoids the problem of leakage at the pump seal. Basically, these forced-convection systemsconsist of (c) a hot leg, where the liquid metal is... 

In many cases, problems cannot be overcome by biological means. This is especially true for those related to inhibition by substrate or product. There may, however, be technical solutions to these problems. Nowadays, complicated feed strategies with different substrates can be achieved through the use of flow injection analysis, on-line sensors, mass flow meters and sophisticated computer control. Such control coupled to a fed-batch mode of operation (Figure 2.5) can often eleviate problems caused by substrate inhibition. For some processes, continuous product removal can avoid the problems associated with product inhibition the various options include ... 

Anticipatory skills can help prevent the resource drain caused by organizational problems, while adaptability helps an organization avoid the problems that change can produce. Over long periods of time, this ability to avoid an important and recurring resource drain can mark the difference between success and failure for an organization. 

Pandastites-Guhr. In order to avoid the problems inherent in using liq expl ingredients, Turpin, in 1881—82, invented expls in which the N204 was absorbed by guhr (see Vol 6, G174-L) or other materials. Such solid N204 was mixed with either a solid fuel or a liq fuel ab-... 

NOTE Where MU rates are high, a supplementary oxygen scavenger may also be required to avoid the problem of pitting corrosion in the boiler and associated pipe work. 

Replication avoids the problem of sample deterioration in the instrument, but it is destructive in that reaction of the material cannot be continued after the replica has been prepared. Transitory features cannot be detected unless a series of preparations are examined corresponding to increasing progress of the reaction considered. The textures of replicas have been shown [220] to be in satisfactory agreement with those of the original surface as viewed in the scanning electron microscope. The uses and interpretations of observations made through sample replication procedures are illustrated in the studies of decomposition of metal carboxyl-ates by Brown and co-workers [97,221—223]. 

The names of coordination compounds can become awesomely long because the identity and number of each type of ligand must be included. In most cases, chemists avoid the problem by using the chemical formula rather than the name itself. For instance, it is much easier to refer to [FeCl(H20)5]+ than to pen-taaquachloroiron(II) ion, its formal name. However, names are sometimes needed, and they can be constructed and interpreted, in simple cases at least, by using the rules set out in Toolbox 16.1. Table 16.4 gives the names of common ligands and their abbreviations, which are used in the formulas of complexes. 

The work reported here is part of a continuing program on the emulsion polymerization of styrene in a tubular reactor. It is now evident that the reactor construction is of primary importance in avoiding the problem of reactor plugging. The plugging is associated with a wall effect so that both the reactor dimensions and the nature of the wall surface are important. 

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