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This approximation is invalid for the Pc1 band.
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When weak-perspective approximation is invalid, either a larger number of models can be acquired or an iterative solution to account for the perspective distortions can be employed.
This HIMCD method dynamically applies Implicit Monte Carlo Diffusion (IMD) [1] to regions of a problem that are opaque and diffusive while applying standard Implicit Monte Carlo (IMC) [2] to regions where the diffusion approximation is invalid.
If the Condon approximation is invalid, the averages over the proton and solvent states correspond to qualitatively different vibronic couplings, because V nk in general depends differently on R and Q.
This approximation is supported in the literature.
Mr. Williams's lawyers argue that this reservation is invalid.
But this form is invalid.
Our results demonstrate that this assumption is invalid in general.
However, as shown in 67 68, this assumption is invalid.
However, this assumption is invalid when mutations are not rare in a whole population.
Therefore, from the second mean value theorem of integrals, this step is invalid.
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