Sentence examples for simpler results from inspiring English sources

Then, on making use of Corollary 2.7, we may state the following simpler results: (2.20).

Then, on making use of Proposition 3.3, we may state the following simpler results: (3.9).

We performed all analysis both with non-transformed and natural log-transformed PCB exposures and the interpretation of results did not substantially differ; thus, we report in text the simpler results of analyses using non-transformed PCBs (however, see Additional file 1 Tables S3 and S4 for results of linear regression analyses using natural-log transformed PCB exposures).

If (sigma_{12}=sigma_{21}=0), then we have the following simpler result.

This leads to simpler resulting concepts with higher accuracy in classifying new objects.

Here we will only state a simpler result which is an almost immediate consequence of Theorems 8, 10 and of gluing results of Datchev Vasy [57].

Consequently, the task of transcript assembly is simpler, resulting in a higher proportion of correctly assembled full-length transcripts [ 36].

The derivation of very simple results required intricate geometric considerations, and the turgid style of the Geometria Indivisibilibus was a barrier to its reception.

Simple results.

We prove several simple results right away.

Simple results in this case are discussed in Ref. [39].