However, nitrogen concentration gradients and, especially, biaxial stress, while limited by the yield strength of about 1 GPa and strongly influenced by processing characteristics can lead to discernible differences, limiting the use of this equation to a rule-of-thumb approximation.
The numerical predictions of thermal and mechanical response are compared with those provided by the mean-field approach involving an incremental Mori-Tanaka analysis and by the simple rule-of-mixture approximations.
The reliable NSFD schemes are therefore obtained by considering a suitable implementation on the cross-diffusive term of Mickens' rule of nonlocal approximation of nonlinear terms, apart from his rule of complex denominator function of discrete derivatives.
An example of the exception to the rule of ionic approximation according to electronegativity is [(C5H5)(CO)2Fe=B(C6H5)3][ 23] on the right-hand side of Figure 5.
But, under our peculiar congeries of political institutions, democracy — or, at least, majority rule — is a matter of approximation.
As a rule, the accuracy of approximations {yn∣n= 1,2,…,N} can be improved by applying the Richardson Extrapolation under the assumption that the stability of the computational process is preserved.
While it is difficult to give a rule of thumb, the FMCI approximation seems to perform very well when x ≤ O ( n 1 / 2 ).
The lesson, I think, is this: in general, as a rule of thumb, to a first approximation, you should mostly try to use new tools and technologies for new kinds of problems, or ones that have not yet been solved well, rather than constantly trying to redo everything in yet another language/framework in the hopes that this time it will turn out to be The One True Solution.
Although the rule of 10s is a helpful approximation, current research has stressed the increased importance of genetic predisposition in the development of pheochromocytomas and paragangliomas.
The reverse of approximation is separation.
What this figure actually describes is a range of approximation.
