Sentence examples for results formulated from inspiring English sources

We now recapitulate the main analytical results formulated in Theorems 2.10, 2.12, and 2.13.

Moreover, combining the results formulated in Theorems 2.2, 3.1 and 4.2, we obtain the following.

Previous analytical results formulated in [6 8] suggests that controlled mobility of nodes helps to improve network performance.

Our results for the Weyl product are special cases of results formulated and proved for a family of pseudodifferential calculi parametrized by real matrices (A in mathbf {R}^{d times d}).

ID suggested the idea of this research, performed the experiments, analyzed the experimental data, participated in the discussion of the results, formulated the conclusions and worked on the manuscript.

Referring to Figures 6 and 7, from the above theoretical analysis results formulated in Equations (14) and (21) we can conclude that, the ratio of public pixels after the rotation is related to the distance between the block center and the image center, the block size and the rotation angle.

While working on it, you learn new scientific techniques and how to design experiments, analyze results, formulate hypotheses, and keep a lab notebook.

A simplified proof of this result formulated for matrices is given in Aujla [20].

Our aim is to extend the asymptotic result formulated in Theorem 3.1.

To summarize the previous, the main result formulated in Theorem 3 describes the asymptotic stability regions of difference equation (11).

In this section we introduce some remarks and comments to the obtained result formulated in Theorem 3.