Sentence examples for the result stated from inspiring English sources

This numerical verification supports the result stated in Theorem 3.1.

Namely, the result stated in Theorem 1 is an extension of the result given in [7].

In conclusion, (21) can be property rearranged, leading to the result stated in the following.

By the definitions of all the Nielsen numbers involved, we have the result stated above for N 1 ( f | ϕ ).

The result stated in the lemma follows by using (31) along with the inversion formula (30) and substituting into (32).

The result stated in Theorem 3.1 means that the perturbed system is still approximately controllable when the perturbation is not severe.

5.1 to the results stated in Sect.

It follows from the results stated in the sequel that Theorem 1.1 is true.

The result is in perfect agreement with the results stated and proved in the established literature.

The results stated that the drumstick peel extract possessed good behaviour towards photocatalytic investigation.

In this section, we give the proofs of the results stated in Sections 3 6.