Sentence examples for and proves in a from inspiring English sources

Our work lends a theoretical support to such experimentally obtained results and proves, in a generalized way, that it is not the mass of the atoms themselves, but the cumulative effect of hydrophobicity (space-filling nature of hydrophobicity) that governs protein stability.

The model is tested and proved in a cassava starch factory in Tayninh, Vietnam.

In this way, small but significant metal recovery gains may be measured and proven in a plant trial.

The character of the solution of the eigenvalue problem of the constrained system is stated and proved in a Theorem.

Three theorems are stated and proved in a sequence in support of the HLEFS ability to keep the output error in a relatively small bound.

In this paper, we present a generalization of a combinatorial lemma we stated and proved in a recent work.

For the proof of these Theorems we need a lemma of independent interest, which we state and prove in a little more general form.

A non-equivalent but sufficient linearization form of IJLCP was proposed and proved in a straightforward manner for solving this type of problem.

A simple and natural way to unify and prove in a simple manner several metrical fixed point theorems is to consider an implicit contraction type condition instead of the usual explicit contractive conditions.

and the second and third isomorphism theorem can be formulated and proven in a way very similar to the corresponding statements for groups.

The purpose of the Doctrine is to prevent innocent patients from having to be arrested and prove in a court of law that they are using cannabis for medical purposes.