Simplicity, rule

Although I like to experiment with wild flavors and combinations in my baking, when it comes to a cake that everyone can really obsess over, I find that simplicity rules. These are my basic, tried-and- true frostings and fillings that complement a variety ofcakes. Alljou have to do is mix and match them for a cake that tastes unique. 

But simplicity rules Management of an unknown number of soil components, plus management of more than two components within the cleaning solvent, is generally thought of as being "a bridge too far."... 

The mechanistic complexity of hydroboration-oxidation stands m contrast to the simplicity with which these reactions are carried out experimentally Both the hydrobo ration and oxidation steps are extremely rapid reactions and are performed at room tern perature with conventional laboratory equipment Ease of operation along with the fact that hydroboration-oxidation leads to syn hydration of alkenes and occurs with a regio selectivity opposite to Markovmkov s rule makes this procedure one of great value to the synthetic chemist... 

As a rule of thumb, one can say that the efficiency of separation of mixtures and the simplicity of operating and maintaining apparatus are much greater for GC than for LC. Hence, other things being equal, GC is most often the technique of first choice and can be used with a very wide variety of compound types. However, for nonvolatile or thermally labile substances like peptides, proteins, nucleotides, sugars, carbohydrates, and many organometallics, GC may be ruled out completely... 

In terms of linear vector space, Buckingham s theorem (Theorem 2) simply states that the null space of the dimensional matrix has a fixed dimension, and Van Driest s rule (Theorem 3) then specifies the nullity of the dimensional matrix. The problem of finding a complete set of B-numbers is equivalent to that of computing a fundamental system of solutions of equation 13 called a complete set of B-vectors. For simplicity, the matrix formed by a complete set of B-vectors will be called a complete B-matrix. It can also be demonstrated that the choice of reference dimensions does not affect the B-numbers (22). 

It is equivalent to say that entropy of vaporization is a constant value for non-associating Hquids. Associating Hquids, eg, ammonia, water, methanol, and ethanol, do not obey the rule of Pictet and Trouton. Despite its simplicity, the Pictet-Trouton view of Hquid vaporization (19) is an exceUent example of the many rules of thumb that have been useful aids in engineering calculations for decades (5,7,8,9,21). However, proper appHcation requires an understanding of the physical reasoning behind each rule. 

Rules are cleady a usehil form of representation for knowledge-based appHcations, with their advantages of representational simplicity, wide apphcabihty, and history of past successes. However, certain important design criteria govern the proper appHcation of rules and there are shortcomings of the rule-based representation. 

The fusion name l//-triazolo[4,5-d]pyrimidine for (140) is preferred by practitioners in the field and appears in CA indexes. On the other hand, the nonspecialist, who may well be uncertain about his command of fusion nomenclature, might more easily grasp the replacement name l//-l,2,3,4,6-pentaazaindene. (This is an appropriate place to emphasize that, by lUPAC rules, replacement names are to be based only on a completely carbocyclic parent. Notwithstanding the attractive simplicity of 8-azapurine for the example at hand, it has no sanction see, however. Section 1.02.3.2. The purpose of this avoidance is to forestall a multiplicity of names for systems containing several hetero atoms.)... 

In spite of its simplicity this approach, supplemented with Blatt s correction [.3] for lattice distortion, was applied successfully for decades [4, 5] in studies of systematics in the residual resistivity. Its power was the exact treatment of the scattering and the use of the Friedel sum rule [1] as a self-consistency condition ensuring a correct valency difference between impurity and host atom. 

There are other, more complex, variants of this minimal model. FHP-II, for example, is a 7-bit variant of FHP-I, adding a zero-velocity rest particle and a few collision extra rules involving that rest particle [frischS ]. FHP-III is a collision-saturated version of FHP-II ([frischST], [d HumSTc]). There are also 8-bit variants that include up to three rest particles per site and use particles of different mass ([d Hum87c], [wolf86c]). For simplicity, we will not consider models with rest particles. 

The rules for significant figures involving natural logarithms and inverse logarithms are somewhat more complex than those for base-10 logs. However, for simplicity we will assume that the rules listed above apply here as well. Thus... 

Both of these structures satisfy the formal valence rules for carbon, but each has a serious fault. Each structure shows three of the carbon-carbon bonds as double bonds, and three are shown as single bonds. There is a wealth of experimental evidence to indicate that this is not true. Any one of the six carbon-carbon bonds in benzene is. the same as any other. Apparently the fourth bond of each carbon atom is shared equally with each adjacent carbon. This makes it difficult to represent the bonding in benzene by our usual line drawings. Benzene seems to be best represented as the superposition or average of the two structures. For simplicity, chemists use either one of the structures shown in (30) usually expressed in a shorthand form (SI) omitting the hydrogen atoms ... 

In the reaction sections of this book, we shall give lUPAC names for most transformations (these names will be printed in the same typeface used above), including examples of all eight types. As will become apparent, some transformations require more rules than we have given here. However, it is hoped that the simplicity of the system will also be apparent. 

Because of its great stability, the six-membered ring of carbon atoms persists in most reactions. For simplicity, the ring is sometimes represented as a hexagon, each corner of which is assumed to be occupied by a carbon atom with a hydrogen atom attached (unless some other atom is explicitly indicated at that point). The delocalized electrons are indicated by a circle within the hexagon. The following representations illustrate these rules ... 

This ternary coding has some limitations in particular, it may affect the ability of the system to derive general rules. The coding described in this chapter, which relates to work by John Holland, has been successfully used in a variety of applications and has the advantage of simplicity. Readers who wish to explore alternative ways of representing classifiers will find them described in recent papers on classifier systems. 

The coordinated ligand is called rj6-boratabenzene by Chemical Abstracts however, as ligands in sandwich-type complexes should be named as neutral entities according to the IUPAC rules, Tj6-bora-3,5-cyclo-hexadien-2-yl would be the correct name. For the sake of simplicity we prefer boratabenzene in the following. 

A systematic investigation of the free amino acids of the Leguminosae led to the isolation of a novel ninhydrin-positive compound from the leaves of Derris elliptica Benth. (Papilionidae) (93). This substance was analyzed as C6H,3N04 (microanalysis and high resolution mass spectrometry) and was shown to be an amino alcohol. The absence of a carbonyl in the 1R, the loss of 31 mass units in the mass spectrum, and a positive periodate cleavage reaction were best embodied into a dihydroxydihydroxymethylpyrrolidine structure. The relative simplicity of the NMR spectra (three peaks in the 13C spectrum four spin-system in the H spectrum) pointed out a symmetrical structure. Inasmuch as the material was optically active ([a]D 56.4, c = 7, H20), meso structures were ruled out, and the 2R, 3R, 4R, 5R relative configuration was retained (93). This structure (53) was further confirmed by an X-ray determination (94). 

In polymers the infrared absorption spectrum is generally very simple, considering the large number of atoms that are involved. This simplicity is due to the fact that many of the normal vibrations have almost the same frequency and so appear in the spectrum as one absorption band and, also from the strict selection rules that avoid many of the vibrations from causing absorptions. 

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