Sentence examples for assumptions are not valid from inspiring English sources
"In some physical systems the underlying assumptions are not valid at these smaller length scales," says Rod Ruoff, a physical chemist and professor of mechanical engineering at Northwestern University (who was not involved with the work).
These modelling methodologies thus complement the process knowledge included in white-box models with predictions based on data in areas where the white-box model assumptions are not valid or where white-box models do not provide accurate predictions.
Our findings reveal that sub-national institutional variations have a profound impact on the relationship between academic collaborations and firms' innovation performance, illustrate that some established assumptions are not valid in emerging countries, such as China, and offer insights into how EMEs can enhance their innovation performance.
These assumptions are not valid in opportunistic sensor configurations [11].
We can also explain that ceteris paribus assumptions are not valid for long-term future developments.
The performance of ECCs degrades quickly under wideband cyclostationary interference because these assumptions are not valid; however, the paramorphic waveform is much more robust under the same conditions because it is specifically designed for the signal environment at hand.
When assumptions were not valid, non-parametric tests were performed (Mann Whitney test, Friedman ANOVA).
