Variate, term

Two types of corrections to the Thomas-Fermi-Dirac non-relativistic energy density appear. The first is the correction to the kinetic energy given by the mass-variation term ... 

By convention, polymorphisms are genetic variations where the least common allele or least common phenotype is present at a frequency of at least 1%. Human populations also display numerous genetic variations (termed rare genetic variants) that are present at a frequency lower than 1%. The major receptors that regulate induction of DMEs in humans (Table 1) exhibit few genetic variations that qualify as true polymorphisms (24). 

If optimization is carried out in the MO basis, the variational terms are the integrals instead of the density matrices, which become diagonal and their values equal to the occupation numbers. The Roothaan-Bagus energy expression can therefore be written as ... 

Accuracy of calculation has not been a problem for some time. For example, elaborate calculations based on many variational terms in a Hylleraas representation have been carried out by Bhatia and co-workers,3 and highly accurate complex-scaling calculations have been performed by Ho.4 A representation based on collective hyperspherical coordinates... 

Carbon monoxide may be hydrogenated to produce either alcohols or hydrocarbons, depending on the catalysts used and the reaction conditions. Temperatures ranging from 100-400°C and pressures as high as 1,000 atm have been studied. Different catalysts yield radically different types of products. Important processes for uch reactions consist of the methanol synthesis, the higher-alcohol synthesis (or the variation termed the iso synthesis), the Fischer-Tropsch reaction (or the version called hydrocarbon synthesis), and the methanation reaction. These syntheses were discovered in the period 1920-1925, at which time the methanol and higher-alcohol syntheses developed rapidly. A brief summary of processes and conditions used for the hydrogenation of carbon monoxide is presented in Table 10-17. 

The complex type has the largest structural variations, termed antennary, caused by the various branchings of outer chains from the trimannosyl core. Thus one to five branches joined to the trimannosyl core result in the formation of mono-, bi-, tri-, tetra- and pen-taantennary glycans ... 

The above equation will result in a number of equations — all being necessary conditions for the minimmn. To satisfy SJ = 0, we will expand the variational terms and apply the same reasoning as was done in Section 3.2 (p. 58). Essentially, we will find the equations which when satisfied eliminate each additive term on the left-hand side of Equation (6.22). 

It is also important to note that the EKF estimation can lump model uncertainties into the slow variation term Kcs- So the variation term can contain more uncertainties if the EKF model is not accurate. This should be kept in mind if Kcs is further to be used for diagnostics pmpose. 

C. Lee and S. B. Yoon, Effect of higher-order bottom variation terms on the refraction of water waves in the extended mild slope equation. Ocean Eng. 31, 865 882 (2004). 

In determining reactor power, the time rate of change of power, dP/dt, is the statement of power variation, terms of reactor period, T, the rate of change of power is. 

However, the chemical systems we are interested in hardly ever exhibit such gradient or variational properties, except in the close neighbourhood of the instability point. The above picture is then soon lost as the distance from the bifurcation point increases. When the system does not possess gradient properties even the method of fronts is not available to test the relative stability of solutions Ai and Az as for a given value of the parameters one can have fronts going in either direction [30]. The non variational terms may furthermore give rise to new interactions between fronts also leading to stable droplets [31]. 

To pass from (A4.12), or (11.2.10), to a Dirac-Pauh equation containing the Hamiltonian (11.2.17), it is customary to expand the operator k in powers of 1/c and it is also necessary to replace (which is only a truncated part of the 4-component quantity (A4.3)) by a modified 2-component function, corrected to admit the small components in (A4.8). It is this step that leads to the mass-variation term and that has certain dubious features (Farazdel and Smith, 1986) there is, however, general agreement that the final Hamiltonian (11.2.17) is satisfactory apart from the n term and that its 2-component eigenfunctions— the usual spin-orbitals—will correctly allow for relativistic effects up to order 1/c. ... 

Emulsion polymerization in isothermal BR 1 init, termination with initiator, four stages of polymerization Effect of inadequate stirring in a CFSTR comparison with BR and normal CFSTR Term, by 2 or no term. Rp, R, M s Control of MWD by use of temperature variation term by 2 disprop or 2 comb. A/ s... 

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