Description of the classes

The description of those spheres is given in [GrZa74] and it is, actually, a Goldbeig-Coxeter construction.  

Remark 2.2.4 The possible symmetries of ( 2,3), 6f spheres have not been determined yet. Also, the Goldberg-Coxeter construction has not been defined for 6-valent spheres, although we do not see an obstruction to it. Also it could be interesting to extend remark 2.2.3 on those spheres. 

We now list the known results on symmetry of those spheres  

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The following chapters will include historical information on the discovery and use of inhalants. There will also be descriptions of the classes of inhalants and information given on many of the commonly abused chemicals. Explanations of the mechanisms by which inhalants act on the brain and body will follow, including the discussion of current research aimed at understanding drug addiction. The short- and long-term effects of inhalant abuse on the body will be described, and trends of inhalant use and attitudes toward it will be discussed. Lastly, there will be a presentation of information on treatment and prevention of inhalant use. 

Grammatical inference tries to give mathematical descriptions of the classes of languages that can be learned by a concrete learning algorithm. 

Numbering according to Annex I, part 2 Description of the class... 

It is beyond the scope of this method to describe the different types of crystalline materials that can be found, or the full description of the classes into which they can fall. However, some general crystallography is provided below to give a foundation to the procedures described. 

This review has covered many of the essential features of the physical chemistry of nanocrystals. Rather than provide a detailed description of the latest and most detailed results concerning this broad class of materials, we have instead outlined the fundamental concepts which serve as departure points for the most recent research. This necessarily limited us to a discussion of topics that have a long history in the community, leaving out some of the new and emerging areas, most notably nonlinear optical studies [152] and magnetic nanocrystals [227]. Also, the... 

The Universal Modeling Language is used to describe a software system [4, 5], Several kinds of diagrams exist to model the diverse properties of the system. Thus a description of the system can be developed that enables the systematic and uniform documentation of the system. The class diagram, for example, represents the classes and their relationships. But also interacting diagrams exist, to describe the dynamic behavior of the system and its objects. 

In this chapter some important synthetic reactions specific to each class of compounds are described. Only small parts of certain total syntheses will be discussed. With the given references, however, the interested reader will easily locate the complete descriptions of the syntheses. I. Fleming s (1973) book is recommended as a guide through some ingenious classic total syntheses. 

Inorganic Materials. Sol—gel chemistry involves first the formation of a sol, which is a suspension of soHd particles in a Hquid, then of a gel, which is a diphasic material with a soHd encapsulating a solvent. A detailed description of the fundamental chemistry is available in the Hterature (2—4). The chemistry involving the most commonly used precursors, the alkoxides (M(OR) ), can be described in terms of two classes of reactions ... 

Considering the complexity of the classes of wine already described, only general descriptions can be given (23,24). Because they represent such a large portion of total U.S. wine production (Tables 5 and 7), table wines and the practices in California are emphasized. 

Specifications, Standards, Quality Control, and Health and Safety Factors. Formerly, there was an Insulation Board Institute representing the insulation board industry, but the decline in the market and number of producers has led to its demise. Currently (ca 1997), the industry is represented by the American Hardboard Association (AHA). Specifications and standards are found in American National Standards Institute (ANSI) standard for CellulosicFiberboard (7). The standard includes descriptions of the various types and classes of ftberboard, as well as requirements for physical and dimensional stabiUty properties. QuaUty control tests are limited to a few basic strength and stabiUty tests, including bending strength, bond strength, and moisture resistance. 

Carrageenan. The term carrageenan [19000-07-1] is the generic description for a complex mixture of sulfated polysaccharides that are extracted from certain genera and species of the class Fhodophjceae red seaweed. 

The purpose of this article is to provide a brief overview of the materials designated synthetic elastomers and the elastomeric or mbbery state. Subsequent entries describe the individual classes of elastomers in detail. Table 1 provides a fundamental description of the principal classes of synthetic elastomers. Table 2 gives the widely accepted ASTM abbreviations for synthetic mbbers. 

A brief description of the insulating materials in use for different classes of insulation is given below to provide an introduction to the types of materials being used in the preparation of a particular class of insulation. The actual ingredients may be an improvised version of these materials, in view of continuous research and development in this field, to search for still better and more suitable materials. 

A general description of the three major classes of MDI s and brief descriptions of adhesive applications are shown in Table 1. More recently, MDl has become the isocyanate of choice in adhesives, partly because MDI has a lower vapor pressure than TDI does (see pp. 296-297 in [18]). Isocyanates have been shown to cause an allergic reaction in a small percentage of the population. This reaction can manifest itself in the form of an asthmatic condition [19]. Before starting work with isocyanates, researchers are encouraged to read about the proper precautions to take, in order to work safely with these materials. Researchers should also check with their local health and environmental safety representatives [20]. 

Airtightness ductwork class A description of the quality of a ductwork system and its ability to contain air with the minimum of air or gas leakage, classified... 

The cycloaddition reactions of carbonyl compounds with conjugated dienes cannot be discussed in this context without trying to understand the reaction mechanistically. This chapter will give the basic background to the reactions whereas Chapter 8 dealing with theoretical aspects of metal-catalyzed cycloaddition reactions will give a more detailed description of this class of reactions, and others discussed in this book. 

The principal constituents of most crude oils are hydrocarbon compounds. All hydrocarbon classes are present in the crude mixture, except alkenes and alkynes. This may indicate that crude oils originated under a reducing atmosphere. The following is a brief description of the different hydrocarbon classes found in all crude oils. 

Based on petrochemicals, linear alkyl benzene sulfonates (LAS) are the most important surfactants. First description can be found in patents from the mid-1930s [2] using Fischer-Tropsch synthesis and Friedel-Crafts reactions. With the beginning of the 1950s the importance of the class of surfactants rose. The main use is in household and cleaning products. 

The generally accepted theory of electric superconductivity of metals is based upon an assumed interaction between the conduction electrons and phonons in the crystal.1-3 The resonating-valence-bond theory, which is a theoiy of the electronic structure of metals developed about 20 years ago,4-6 provides the basis for a detailed description of the electron-phonon interaction, in relation to the atomic numbers of elements and the composition of alloys, and leads, as described below, to the conclusion that there are two classes of superconductors, crest superconductors and trough superconductors. 

Theoretical level populations. Sinee there are population variations on time seale shorter than some level lifetimes, a complete description of the excitation has been modeled solving optical Bloch equations Beacon model, Bellenger, 2002) at CEA. The model has been compared with a laboratory experiment set up at CEA/Saclay (Eig. 21). The reasonable discrepancy when both beams at 589 and 569 nm are phase modulated is very likely to spectral jitter, which is not modeled velocity classes of Na atoms excited at the intermediate level cannot be excited to the uppermost level because the spectral profile of the 569 nm beam does not match the peaks of that of the 589 nm beam. 

The description of the motions of swimming bacteria like E. coli or molecular motors such as kinesin requires a knowledge of their propulsion mechanisms and the nature of the interactions between these micron and nanoscale objects and the surrounding fluid in which they move. These are only two examples of a large class of small self-propelled objects that one finds in biology. Propulsion occurs by a variety of mechanisms that usually involve the conversion of chemical... 

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