Sentence examples for help in the proof of from inspiring English sources

The following lemmas will help in the proof of the next theorem.

These will be used in the following for describing the solution y T. Several simple estimates, of much help in the proof of our result, are established next.

The authors also would like to acknowledge the expert assistance of Lucie Bourget in implementing cytometric analyses and Alice Bernier for her help in the proof reading of the last version of the document.

With the help of technique in the proof of Theorems 2 and 3 for the mappings φA, φB, φC, we can see that varphi v) < maxbigcup_{yin U}minbigcup _{u in U}varphi C u,v).

The properties can help for the proof of equilibrium existence in the later part of this subsection.

The analysis of our data will help to demonstrate the proof of concept of NGS as a robust and accurate approach towards exploring multiple genes in NMD patients.

The proof is analogous to Step 2 in the proof of Theorem 6 in [ 38].

Consider the construction given in the proof of Theorem 9.

So when an overcooked femme fatale (Elina Lowensohn) requests his help in obtaining proof of C.I.A. involvement in the Sept. 11 attacks, Thomas can resist neither her mission nor her hotness.

In Section 4 we collect some preparatory results which will help us to simplify the proof of our main theorems.

In Section 2, we give some lemmas which help to simplify the proofs of our main results.