Sentence examples for as we generalized from inspiring English sources

Secondly, as we generalized the space from the scalar space to the abstract space, our work includes the results of [28 30].

As corollaries, we generalized some known results.

Therefore, we now set the class labels of both child and parent terms (GO 0019541 and GO 0046459) as BP−, and we generalized this situation to make rule 1. Searching lipid-related GO terms comprehensively across all three sub-ontologies of GO is a nontrivial problem, requiring a considerable amount of time and effort.

The strength of this study is in the number of discussions analyzed, as we can generalize the discussion trends and characteristic interactions for the students who were observed.

As an application, we generalize work by Madigan on the disk by investigating boundedness of the composition operator from to.

As an application, we generalize the so-called "zero-two" law of Ornstein and Sucheston and Zaharopol to positive contraction on a very large class of Banach lattices.

As a consequence, we generalize the early efforts of knowledge based systems researchers e.g. [21, 24] and view a knowledge-based system (KBS) as comprising problem solving methods and a suitable sets of ontologies.

Following the formulations as in [6, 20 22], we generalize the classical stability problems of above functional equations to the spaces of generalized functions as.

We generalize this concept as follows.

As a particular corollary, we generalize the recently obtained lower bound in terms of multifractal dimensions of μψ and give some equivalent forms of it which can be useful in applications.

The Methodology As we've outlined, generalized fatality statistics point toward today's most dangerous new vehicles as those that are light, don't provide proper side-impact protection (airbags), have a higher propensity to roll over, don't handle particularly well and lack electronic-stability control.