Sentence examples for statements of main from inspiring English sources

Section 3 is devoted to the statements of main results, and finally in Section 4, proofs of the results are given.

Between the statements of the main theme – which feels like it's off in unmapped territory – are episodes that seem to hover in a more consoling, familiar, sequential world.

The precise statements of the main results in this paper are listed.

We revise the statements of the main theorems and prove the revised theorems.

In Sect. 3 we consider the inverse three spectra problem, and give the statements of the main result.

The next section contains the accurate definition of the initial value problem, the basic properties of the associated flow and the statements of the main results.

In general, the first part of the paper is devoted to the presentation of the general setting, with the statements of the main theorems; this goes up to Sect. 8.

Nevertheless, this thousand page volume of psychology, physiology and philosophy has proved to be James's masterwork, containing early statements of his main philosophical ideas in extraordinarily rich chapters on "The Stream of Thought," "The Consciousness of Self," "Emotion," "Will," and many other topics.

In this note, we emphasize that the proofs and statements of the main results of the paper 'Modified proof of Caristi's fixed point theorem on partial metric spaces' (Journal of Inequalities and Applications 2013, 2013:210) do not have any utility to use the partial metric.

The rest of this paper is organized as follows: "Statement of the main results" section is devoted to presenting the main results of this paper.

Things picked up when the orchestra burst forth with the fortissimo statement of the main theme.