In addition to multiple

A -Heterocyclic Carbene Complexes in Additions to Multiple Bonds... 

Elemental fluorine is rarely used in addition to multiple bonds. This is due mainly... 

We would also like to contribute to the identification of disease-related genes in addition to multiple immobilization of probe DNA by a DNA chip based on self-assembly DNA-conjugated polymer [83],... 

During a microsecond time frame, which is the typical paramagnetic relaxation time of free radicals, polarized free radicals can participate in addition to multiple bonds, to dioxygen, in hydrogen (electron) transfer, in addition to polyradicals, etc. Products of these reactions are polarized in most cases, and they demonstrate TR ESR signals. 

The main findings can be paraphrased as follows 1. Positional (double bond migration) and skeletal isomerizations occur with all trimers. 2. In addition to multiple isomerizations, all trimers give rise to some unidentified tetramers, pentamers, and hexamers, the most important contribution coming from the pentamers. 3. Extensive deuterium exchan occurs between olefins. 

In addition to multiple-pulse sequences that were derived from heteronuclear decoupling experiments, a number of rf sequences have been specifically developed for homonuclear Hartmann-Hahn transfer. A systematic search for phase-alternated composite 180° pulses R expanded in an MLEV-16 supercycle was reported by Glaser and Drobny (1990). Several clusters of good sequences were found for the transfer of magnetization in the offset range of 0.Av. However, substantially improved Hartmann-Hahn sequences were found after the condition that restricted R to be an exact composite 180° pulse on-resonance was lifted. For example, the GD-2 sequence is based on R = 290° 390° 290°, which is a composite 190° pulse on-resonance and is one of the best sequences based on composite pulses of the form R = (Glaser and Drobny, 1990). 

Formulae (46) are much simpler in appearance than in practice. In addition to multiple summations, they involve the calculation of all the determinants and of all their cofactors D (i j) and ) (i/ fe/). A straightforward evaluation of (46b) is prohibitive since it would involve an algorithm each of the cofactors appearing in the fourfold summation requires about operations. However, by precomputing the cofactors, the N process is broken down into an and an N step. As pointed out long ago by Lowdin, cofactors... 

Wagner-Meerwein rearrangements comprise reorganization of the carbon skeleton in eliminations that lead to olefins, in additions to multiple bonds, and in nucleophilic substitutions. Their common characteristic is that after or during formation of an electron deficiency on a carbon atom an alkyl or aryl group moves to that site from a neighboring carbon atom. The electron deficiency can occur as follows ... 

In addition to multiple steady states also existence of oscillations of various types has been observed in the model. Continuation methods (Kubicek and Marek, 1983) can be used to locate positions of limit points (multiple solutions), Hopf bifurcation points (origin of oscillations) and period doubling bifurcation points. Fig. 2 shows an example of the results of such computations, using the continuation software CONT (Kohout et al.. 

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