Sentence examples for establish the result from inspiring English sources

To establish the result, we need the following lemma.

Using similar arguments to Theorem 4.1, we establish the result.

To establish the result, we need the following hypotheses.

A similar argument to the proof of Theorem 2.1 will establish the result in Theorem 2.2.

Proof A similar argument as in proving Theorem 1 will establish the result (2.3).

We can establish the result (17) by a similar argument as in the proof of (16).

Now Theorems 4.2, 4.1 establish the results.

By the Galerkin method, we also establish the results of existence and uniqueness of a solution for problem (1.1).

To establish the results obtained in this paper, further conditions on f and θ are imposed as follows.

In this section, we establish the results of exact multiplicities of solutions and positive solutions for problem (1.1).

To establish the results significance, the Fisher exact test was used.