Sentence examples for the assumption is invalid from inspiring English sources

It's quite fair to raise these criticisms because if a method relies on an assumption, and the assumption is invalid, then the results may be invalid too.

The later developments of the mathematics of infinite series has shown that this assumption is invalid, and thus the paradox dissolves.

However, this assumption is invalid because it is incorrect to neglect the first two terms, i.e., lower degree terms of Re·Pr, in the expression for the Nusselt number that Acrivos and Taylor [31] have derived for heat transfer from a spherical particle at low values of the Reynolds number.

If this assumption is invalid, variance values will be overestimated and the probability of obtaining false negatives will increase, limiting detection of differential expression to Pfams with drastic differences in expression between the communities [ 36].

However, this assumption is invalid when mutations are not rare in a whole population.

Our results demonstrate that this assumption is invalid in general.

However, as shown in 67 68, this assumption is invalid.

When this assumption is invalid, multipath exploitation becomes challenging, if possible at all.

Due to time varying and random nature of wireless system, this assumption is invalid.

However, even if this assumption is invalid, risk maps based on vector distributions are still useful to augment risk analyses based only on parasite distributions.

However this assumption is invalid for species that undertake large movements to find suitable conditions because of vast temporal fluctuation in conditions [41].