Sentence examples for the proof of the method from inspiring English sources

The proof of the method which is based on the construction of some bounds of the solution together with global continuous theorem and fixed point index is of independent interest, and is different from the other papers.

This concludes the proof of the proposed method.

Simulation results are provided in the following section for the proof of the proposed method's superiority.

We then obtain I ( A, G ) < A + G 2 < I, which, when combined with equation (5.3), gives equation (5.2), so it completes the proof of the first method.

To provide the proof of the "misGvA" method and apply it to the different variants of Pol ι, we produced them in bakers yeast.

The proof of the stability of the method for long-term forecasting is given, as well as illustrations of the utilization of the method both in the scalar and vectorial cases.

Method 1 finds a number of different previously known TAS systems, part of the proof of the validity of the method.

To complete the proof of the lemma, we employ the method of the proof of Lemma 3.3 in [15].

The proof of the Theorem is independent of the method of inverse spectral theory and the viewpoint of algebraic curves.

The proof of the results is based on the method of upper and lower solutions and the fixed point index theory.

As we know, the proof of the smoothness is trivial by the method in [10] if the difference between and the upper obstacle is decreasing with respect to.