Exact(1)
Input ϵ is a bound for the total approximation error caused by the solutions of the ODEs in line 13.
Similar(59)
In total, our approximation (model A) yields an error of ±1 4 meV, which is smaller than the intrinsic errors arising from the choice of the DFT functionals.
Our algorithms are based on a generalization of the differential forms introduced by W. Ruppert and S. Gao to many variables, and use singular value decomposition or structured total least squares approximation and Gauss Newton optimization to numerically compute the approximate multivariate factors.
The mathematical conditions for quasi-steady state approximations (Segel, 1984) or total quasi-steady state approximations (Ciliberto et al., 2007) are however far too restrictive to be applied to Systems Biology models on a large scale, and do not take into account other abstractions than time or phase decompositions.
Invoking this analogy, the total quasi-steady-state approximation is used to derive approximate analytical solutions that are valid for a wide range of in vitro conditions.
As a first approximation, the total electronic energy of the molecule is the sum of the energies of the individual electrons in the various MOs.
Bamboo phylogeny Group reported that approximation of total diversity vary from source to source.
Equation 16: Bounded approximation for total VMT for local depot delivery scenario {N}_1{overline{t}}_1+ksqrt{VMT}_{LD}leT}_{N}_1{overline{t}line{t}+frac{qrt{AD_2{D}_2c{2{D}_2}{v_2{D}_26).
end{aligned} (26 Using Taylor series approximation, the total recoverable items in a production up time in one setup is begin{aligned} I_{text {tr1}}(t_{text {r1}})=frac{ 1-alpha )PT_1^2}{2}.
For example, if 200 KLE terms of N x) expansion are used in KLE decomposition and the total energy of the approximation would save by 86.56%, as shown in Figure 2(b).
The behaviour of all the above variables is justified by using simple analytical expressions derived from the total co-ion exclusion approximation in the limit of very high absolute values for the surface charge density on the pore wall.
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