Sentence examples for main corollary from inspiring English sources

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As the main corollary we prove that every Lipschitz function on an Asplund space is Fréchet differentiable on a dense set.

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The main corollaries of stock pre-eminence were that you should buy more shares whenever prices dropped, and that you should hold on to them practically forever.

Some interesting estimates parallel to the main theorems and Corollary 8.4, Corollary 8.5 and Corollary 8.6 can also be obtained for ( E, q ) ( C, δ ), ( E, 1 ) ( C, δ ), ( E, q ) ( C, 1 ), ( E, 1 ) ( C, 1 ) summability operators.

This problem for integral representation is referred to as the inverse of the Mellin transform of e λ α s α, α > 0, and in Section 2, we state main theorems and corollaries related to it.

As a corollary, our main comparisons were confined to the pre- and post-program groups.

The main result has four corollaries and an illustrative example.

In Section 3, we state and prove our main theorem and the corollaries that follow from the theorem.

In the following, we give some useful lemmas, which will often be used in the proof of the main results and their corollaries.

In this note we correct some errors that appeared in the article (Han and Xu in Fixed Point Theory Appl. 2013 3, 2013) by modifying some conditions in the main theorems and corresponding corollaries.

"A First-Rate Madness" goes most seriously wrong when Ghaemi explores a "corollary" of his main proposition, offering examples of how "mental health can hamper leadership".

On the basis of Theorem 3.1, we obtain the following corollary as the main result of this paper.

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