Sentence examples for was rigorously defined from inspiring English sources

In the model, the heterogeneous nucleation of grains on inoculant particles was modeled based on the free growth criterion, while the influence of the solute on the nucleation behavior, in terms of the solute suppressed nucleation (SSN) effect, was rigorously defined and integrated.

Moreover chemosensitivity was rigorously defined as the absence of any active tumoral infiltrate at the time of final surgery.

This definition served mathematicians for two millennia and paved the way for the arithmetization of analysis in the 19th century, in which arbitrary numbers were rigorously defined in terms of the rational numbers.

The speed and the width of the layer are rigorously defined via dimensionless quantities.

Service publication, service discovery, service selection and ranking, and service delivery are rigorously defined.

Though bond directionality is frequently used as an explanation of metallic and alloy properties, it has never been rigorously defined.

With respect to the multi-user scenario, the scale effect of ET-FSD is rigorously defined, which in Section 4 is proven to exist.

The fractionation response (α/β ratio) of prostate cancers and, for that matter, late-responding normal tissues, has yet to be rigorously defined.

The proposed engineering system is based on a set of concepts which are worth being rigorously defined to ease the explanation.

Furthermore, thanks to this new mathematical approach the slope factor is rigorously defined in all regions of operation and no empirical assumption is required.

If equivalence is rigorously defined (the minimal clinically important difference), they could represent a route to licensing (cancer chemotherapy and antibiotics).