Sentence examples for more rigorous foundation from inspiring English sources

This, together with the bold discoveries of the German mathematician Georg Cantor in set theory, made it clear that, to avoid further confusion and satisfactorily answer paradoxical results, a new and more rigorous foundation for mathematics was necessary.

The inclusive fitness expressions in the present paper provide a more rigorous foundation for this claim.

Doing so will provide a more rigorous foundation to compare the results of empirical environmental association studies with theoretical predictions on the dynamics and the genetic architecture of adaptation.

This finding has important implications on the current understanding of how ENSO influences extreme precipitation, and will enable a more rigorous theoretical foundation for providing quantitative extreme precipitation intensity predictions at seasonal timescales.

In this article, we address the need for stronger evidence demonstrating how well HBPC programs deliver and improve care by laying the foundation for more rigorous evaluation of HBPC services.

The KEDRF provides a foundation for more rigorous and quantitative descriptions of dose-response at dose levels relevant to public health.

The last decade of research on diagnostic error has made promising steps and laid a foundation for more rigorous methods to advance the field.

This study, designed to provide a firm foundation for more rigorous research on massage in the future and using a massage protocol that includes techniques that are used by massage therapists in the US, will determine the optimal minimal dose of therapeutic massage for chronic neck pain.

A qualitative explanation of the features is given which lays the foundation for a more rigorous theoretical treatment.

Application of this approach to food allergy provides a foundation for a more rigorous quantitative understanding of variability in allergic response.

"The policies that governed the foundation's activities during Hillary Clinton's tenure as secretary of state already went far beyond legal requirements," he said in a statement, "and yet the foundation submitted to even more rigorous standards when Clinton declared her candidacy for president, and is pledging to go even further if she wins".