Logical consequence

A logical consequence of this trend is a quantum w ell laser in which tire active region is reduced furtlier, to less tlian 10 nm. The 2D carrier confinement in tire wells (fonned by tire CB and VB discontinuities) changes many basic semiconductor parameters, in particular tire density of states in tire CB and VB, which is greatly reduced in quantum well lasers. This makes it easier to achieve population inversion and results in a significant reduction in tire tlireshold carrier density. Indeed, quantum well lasers are characterized by tlireshold current densities lower tlian 100 A cm . ... 

It appeared to be a logical consequence to transfer this synthetic principle to more suitable metals like ruthenium and introduce bulky, kinetically stabilizing ligands at the metal. An interesting example for this approach is the complex 78. The latter is synthesized from Cp RuCl(PR3)2 with ClMgCH2SiMe2H through 77 by a thermal Si — H activation reaction. 

When these theories are carried to their logical consequences, difficulties arise, particularly in the department of the theory of radiation (cf. 224). 

We will soon encounter the enormous consequences of this antisymmetry principle, which represents the quantum-mechanical generalization of Pauli s exclusion principle ( no two electrons can occupy the same state ). A logical consequence of the probability interpretation of the wave function is that the integral of equation (1-7) over the full range of all variables equals one. In other words, the probability of finding the N electrons anywhere in space must be exactly unity,... 

The third rule is, in fact, a logical consequence of the first and second, but we write it out separately because it provides a useful test of a basis choice. 

Harris et al. also tested the taxonic conjecture by examining one of the logical consequences of taxonicity, a prediction that taxon membership should emerge as the first unrotated component in principal component analysis (Meehl, 1992). The idea behind this corollary is that in the absence of nuisance correlations, all observed correlations between indicators are due to latent taxon membership. Furthermore, the purpose of a principal component analysis is to reduce the observed correlations to a smaller set of factors... 

Predict Use the logical consequences of your hypothesis to predict observations of new phenomena or results of new measurements. 

The developed value chain planning model is very comprehensive with its model basis, value, sales, distribution, production and procurement part. The comprehensiveness of the model is a logical consequence of the comprehensiveness of value chain planning requirements based on industry case and literature analysis. Conclusions ... 

The second part of the theory, which is a logical consequence of the first, is that monomers that have more than one basic site, e.g., an aromatic ring or an oxygen atom, can form more than one type of complex with the carbenium ion this idea was first proposed by Plesch (1990) in the context of chemically initiated polymerizations. It helps to explain why aryl alkenes and alkyl vinyl ethers polymerize more slowly than isobutene and cyclopentadiene. The reason is that all the complexes formed by the alkyl alkenes are propagators, whereas for the aryl alkenes and vinyl ethers only a fraction of the population of complexes can propagate. 

The valence correlation component of TAE is the only one that can rival the SCF component in importance. As is well known by now (and is a logical consequence of the structure of the exact nonrelativistic Bom-Oppenheimer Hamiltonian on one hand, and the use of a Hartree-Fock reference wavefunction on the other hand), molecular correlation energies tend to be dominated by double excitations and disconnected products thereof. Single excitation energies become important only in systems with appreciable nondynamical correlation. Nonetheless, since the number of single-excitation amplitudes is so small compared to the double-excitation amplitudes, there is no point in treating them separately. 

In signal detection theory such mistakes are considered to be the logical consequence of the fact that the normal distribution of the sensation caused by the noise alone and that of the sensations caused by signal plus noise overlap to a considerable degree (see figure 1). 

The logical consequence of the preceding discussion is that, given the heats of formation of the substances comprising any particular reaction, one can directly determine the heat of reaction or heat evolved at the reference temperature T0, most generally r298, as follows ... 

Finally, the novel part of the three-step model is the identification of a separate unit operation (subsystem) in a PBC system, that is, the thermochemical conversion of the fuel bed, which by logical consequence requires the introduction of a third subsystem referred to as the conversion system. Commonly, PBC systems are modelled with two steps, that is, a two-step model [3,15], see Figure 7. In the two-step model the thermochemical conversion of solid fuels and the gas-phase combustion are lumped together. Several new concepts are deduced in the scope of the three-step model in general and the conversion system in particular, for example the conversion gas, conversion concept, conversion zone, conversion efficiency, which are all explained later in this summary. 

The logical consequence of this widespread distribution of Fe oxides is that many different scientific disciplines (Fig. 1.2) have an interest in Fe oxides. Naturally this has led to much fruitful, interdisciplinary communication and interaction from which this book has greatly profited. 

This brief analysis allows to conclude that the fact that the superiority of the TDDFT method. .. has not been unequivocally established. .. in particular for d —> d transitions [116] is not an unfortunate accident but a logical consequence of deeply rooted deficiencies inherent to the underlying single-determinant nature of the TDDFT method and the announced proof of superiority will hardly whenever take place. 

The logical consequence of using chiral acids as CDAs for amines, as outlined in Figure 6, is that (.R)- and (S)-l-(aryl)ethylamines (Table 1, entries 39 to 43) almost ideally fulfill the requirements of CDAs for separating chiral acids due to the difference in bulkiness of the substituents on the stereogenic centers. Amino acid derivatives such as L-leucinamide also serve well as CDAs. Both types have been highly appreciated as can be seen from the number of applications listed in Table 2. The condensation reactions between the chiral carboxylic acids and amines (CDAs) can be performed in several ways. However, the mildest but quantitative ones will be most appropriate in order to minimize the potential risks of racemization of any stereogenic center. Otherwise, erroneous analytical data or optically impure diaslereomers could be obtained in the course of the preparative separation. 

The basic question of why to treat problem drug use at all could be answered in several different ways, each of which has different implications for the kind of treatment that would be offered. Treatment can be seen as a logical consequence of any of several premises, for example ... 

Tris(trimethylsilyl)methylzinc bis(trimethylsrlyl)amide (178) is the only example of an organozinc amide in which the zinc atom is two-coordinate, of which the structure has been determined in the solid state (Figure 89). The Zn—C bond distance [1.944(2) A] is as expected for a a-bonded zinc atom. The C—Zn—N bond angle [177.8(1)°] is close to linear. The Zn—N distance is extremely short [1.846(2) A], but this is a logical consequence of the sp-hybridization of the zinc atom and the sp -hybridization of the amide-nitrogen atom. The latter is indicated by the fact that the sum of the bond angles around this nitrogen atom is 359.7°. 

X-ray crystal structure determinations of compounds 194, 195 and 196 (Figure 95) revealed that these compounds exist in the solid state as discrete monomers. In 194, the zinc atom is trigonal planar coordinated as a result of the Af,Af-chelate-bonding [Zn—N 2.007(1) and 1.995(1) A]. The N—Zn—N bond angle is rather acute [73.83(6)°], but that is a logical consequence of the small bite angle of the ligand. 

This chapter has described some of the logical consequences of the highly bowed discount curve described by experimental psychology. The predicted patterns are identifiable in many familiar life situations. In some additional areas where they are not directly observable, they... 

The experimental or empirical demonstration of RFR is a logical consequence of the detection of a term proportional to by van der Ziel et al. [37], and some experimental details are suggested here. It would be necessary to work initially on the interaction of a fermion beam with an electromagnetic beam. All levels of one fermion theory given in this section could then be tested under conditions that most closely approximate the theory. A successful demonstration of RFR would require careful engineering in the matter of beam interaction. The IFE has been demonstrated at 3.0 GHz by Deschamps et al. [75], and this experiment provides clues as to how to go about detecting RFR. It seems that the simplest demonstration is autoresonance, where the circularly polarized pump frequency (to) is adjusted to be the same as the RFR frequency (a)res) ... 

Moral theory, like much of philosophy, is a competition of ideas pursued to their logical ends. The way to make a name in philosophy is to concoct a plausible theory and pursue its logical consequences wherever they lead. It is much rarer to see philosophers integrate disparate theories into a consistent whole. 

The Laplace Transform relationship between the density distribution for creation, recombination and scavenging and the time-dependent (or s-dependent) density distribution for creation, recombination and escape is a logical consequence of the nature of eqn. (169). The solution of eqn. (169) was shown by Mozumder [364] to be... 

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