Sentence examples for follows proof of from inspiring English sources

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The algorithm can be sketched as follows (proof of correctness can be found in [ 15]) For each j, 2 ≤ j ≤ n, we find the minimum at column j as follows.

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Following proof-of-concept in animal models, a clinical development program was launched that consisted of two observational studies, three open-label interventional studies and a long-term follow-up review analysis.

Proof It follows proof similar to the proof of Lemma 1 of Kiany andAmini-Harandi [22].

Our main result is as follows, the proof of which will be given in section 'The proof of 1.1'.

From (27) and (29) follows the proof of Theorem 2.7.

The rest of the proof follows the proof of Theorem 3.6 and then we apply Corollary 2.7.

The proof given there structurally closely follows the proof of the original PCP theorem by Dinur (2007).

The rest of the proof follows the proof of the theorem with the appropriate changes of the second power of by the power of.

Image-derived data are discussed with respect to assessment of scaffolds followed by proof-of-concept studies in organoid establishment using Hep3B, a human hepatoblast-like cell line.

We follow the proof of [21] to get the following result.

Following the proof of Theorem 2.2, we can obtain the following result.

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