Global numbering

The observed trend - a decrease in the number of branches with increased steric bulk - is quite surprising. One could expect the opposite trend, since the steric effects increase the ratio between 1,2- and 2,1-insertions, and intuitively, this should lead to an increase in the number of branches (less 2,1-insertions - less removed branches). However, for the systems 3, 4, 5, and 7 the insertions at the secondary carbons happen with relatively large frequencies for the systems 3, 4, and 5 the probabilities of the insertion starting from the secondary carbon are c.a. 0.4-0.5, and for the system 7 - c.a. 0.25-0.33. Since every insertion into the secondary carbon by definition adds a branch, the global number of branches for the systems 3-5 and 7 is larger than for the more bulky catalyst 6, for which there are practically no insertions from the secondary carbons. An increase in the steric bulk leads to a decrease in the secondary-insertion probability, and... 

This continues to be a far lower level than tobacco use (28 %). UNODC s estimate of the global number of problem drug users also remains unchanged at around 25 million people or 0.6% of the global population age 15-64. 

The local hardness 17 (r) can be interpreted as the mixed derivative of the energy, comprising differentiation with respect to the global number of electrons and electron density,... 

The preceding section has been devoted to derivative properties involving a net change in the global number of electrons, dN 0, i.e., an exchange of electrons... 

The condensed reactant FF indices, /A and /B, also represent the in situ quantities, and as such must sum to zero,/A +/B = 0, in accordance with the fixed global number of electrons in the system. 

Therefore, the overall mode quantity wfr(pi represents the net change in the global number of electrons in M per unit CT, as a result of electron transfer between the reactants via the p-channel a its reactant-resolved components monitor the corresponding changes in the overall numbers of electrons in A and B. 

The w% (X = A, B) values are reported in parentheses above each mode diagram in Fig. 14. They show the fractions of d/V channeled via mode a into both reactants. They also represent the importance of the mode in question in effecting CT between the reactants, since even small values of i/va may result from relatively large variations in the reactant s global number of electrons, as reflected by the w indices. This can be seen in modes a = 1, 3, 7, 11 of Fig. 14a, which are the most important within the X = A subset for the CT involving an external reservoir (see also Fig. 16a). 

In DFT the frontier electron theory has also been given a more rigorous foundation in terms of the new reactivity index for open molecular systems, called the electronic FF [3-5,84,92,118-122], the CS measuring a response in the local electron density per unit displacement in the system global number of electrons N ... 

Various totally or partially decoupled forms of these equations are also of interest [33-36]. In the next section we consider the normal representation of the independent collective population displacement modes. Each new representation is associated with a particular orthogonal transformation, O, of the population variables, v(0) = NO. The diagonal elements of the associated "charge-and-bond-order matrix, P(0) = O NO, where Njj = NjSij, Prr(O) s p,(0), can be identified as the occupations of the new collective populational modes, which preserve the global number of electrons in the system ... 

Obviously, the global number of electrons can be modified by a change in occupation, p, of any normal mode, so that all normal modes have non vanishing 7 parameters (Fig. lb). Thus, in contrast to the population vector interpreta-... 

Protozoan diversity converging estimates of the global number of free-living ciliate species. Protist 149,29-37. 

First of all, we need to clarify some definitions. With the collapse of communism in Eastern Europe and the Soviet Union and the opening up of China, there is a clear need now to look at developments in the lead and zinc industries in global terms i.e., including every country in the world. However, in looking at historic development trends, one encounters the problem of consistency and accuracy of reporting in the former communist countries, particularly the Soviet Union, as well as continuing problems in the collection and collation of data in some of these countries and in China. For this reason, we continue to make the distinction between the transitional economies, which we define as China, North Korea, Vietnam, Cuba, the Former Soviet Union (FSU) and the Warsaw Pact countries of Eastern Europe, and the Western World which comprises all other countries. Much of the subsequent discussion refers solely to the Western World but, where possible, we also quote global numbers and/or numbers for the transitional economies. 

Theoretical Evaluation Let us work on a traversal problem P, and define Size P) as the global number of HDD nodes required to solve it in a monoprocessor implementation. In our environment problem P is decomposed in N parallel sub-tasks P,- (i = 1 TV). We express the global size of HDDs involved in this solution as ... 

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