Sentence examples for rigorous expression from inspiring English sources

The approach for predicting these solubilities is based on the Kirkwood Buff formalism for ternary mixtures, which allowed one to derive a rigorous expression for the Henry constant in mixed solvents.

Because many factors such as RNA isolation, labeling and hybridization methods affect the quality of microarray data, pooling data from different experiments does not allow for a rigorous expression profiling analysis.

Although, in the present investigation, we have introduced the intra-molecular phonons in an ad hoc way and obtained an analytical result, we do not claim it to be a rigorous expression.

There is considerable debate in the literature about how to give rigorous expression to what 'genuine uncertainty' requires.

In the case that the region-of-interrogation contains multiple layers of tissue, a more rigorous expression is found by combining Eqs.

However, we zoomed in/out of the map by changing the value of CN(1 < CN < N) if rigorous expression patterns were needed for detailed analysis.

Alternative but less rigorous expressions of the drift spectrum for the ground story level of a multistory frame are developed.

Benefits include more efficient and rigorous formulation and expression of ideas, and wider sharing and integration of knowledge.

We compare these expressions against both the rigorous formulation and other simple techniques.

Thus, our results indicated rigorous dynamic expression of PCNA in oocytes during meiotic prophase I progression and primordial follicle formation.

A general approach to develop complete and rigorous analytical expressions for the energy-release rates and phase angles for delamination of isotropic beam-like geometries is summarized.