Mass convergence

This equation states that the free surface raises/lowers only if there is mass convergence/divergence into the fluid col-unm below. 

Di- and trinucleotides may be used as units instead of the monomers. This convergent synthetic strategy simplifies the purification of products, since they are differentiated by a much higher jump in molecular mass and functionality from the educls than in monomer additions, and it raises the yield. We can illustrate the latter effect with an imaginary sequence of seven synthetic steps, c.g. nucleotide condensations, where the yield is 80% in each step. In a converging seven-step synthesis an octanucleotide would be obtained in 0.8 x 100 = 51% yield, compared with a 0.8 x 100 = 21% yield in a linear synthesis. 

This is a rather noninteractive column as well (Fig. 15.7). The calibration curves converge slightly in the area of high molar masses. 

A dynamic model should be consistent with the steady-state model. Thus, Eqs (1) and (4) should be extended to dynamic form. For the better convergence and computational efficiency, some assumption can be introduced the total amounts of mass and enthalpy at each plate are maintained constant. Then, the internal flow can be determined by total mass balance and total energy balance and the number of differential equations is reduced. Therefore, the dynamic model can be established by replacing component material balance in Eq. (1) with the following equation. 

Therefore for stage 1 the minimum total mass of waste produced is 602.82 -F 308.97 = 911.79 g. For the convergent reaction 2, the minimum mass of waste produced is... 

Since the synthesis plan has a point of convergence it is not possible to define an overall yield for the entire synthesis by simply multiplying the respective reaction yields as would be correct for a truly linear synthesis. This can be deduced by observing that there is no common yield factor that clears all fractions when it is multiplied by the sum of all terms representing the mass of input materials. In the case of a linear plan this would be possible and thus the resulting numerator in the general expression for overall kernel RME would... 

Three-dimensional electron densities have no boundaries they converge to zero exponentially with distance from the nuclei of the peripheral atoms in the molecule. Considering a single, isolated molecule, the exact quantum-mechanical electron density becomes zero in a strict sense only at infinite distance from the center of mass of the molecule. Consequently, the electron density is not a compact set, just as the embedding three-dimensional Euclidean space E3 is not compact either. However, the three-dimensional Euclidean space E3, as a subset of a four-dimensional Euclidean space E4, can be slightly extended (for example, by adding one point) and made compact by various compactification techniques. 

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