No "natural law" of 500 years ago is "law" today; all our present laws are probably approximations, useful but not perfect.

Though Miner's rule is a useful approximation in many circumstances, it has several major limitations:

In general, however, these points should be significantly more than the number of coefficients in the signal domain to obtain a useful approximation.

Various empirical and analytical formulae have also been derived from measurements that are useful approximations.

This tells us nothing immediately about the solute but, if very dilute solutions are used, the following useful approximations can be made.

The ideal line cannot be realised in practice, but it is a useful approximation in many circumstances.

In such cases, the asymptotic theory clearly does not give a practically useful approximation.

Under these conditions, the approximations useful for calculations at lower frequencies are no longer accurate.

Nonetheless a power law can be a useful approximation for a wider range of systems.

In practice, real gases show small deviations from the ideal behavior and the law holds only approximately, but is still a useful approximation for scientists.