Sentence examples for main result based from inspiring English sources

Our main result, based on the Schaefer fixed point theorem and Lemma 3.1, is stated as follows.

Figure 1 shows the main result based on the pooled data.

In this section, we shall establish our main results based on LMI framework.

In Section 3, we give the main results based on the Dhage fixed point theorem.

Section 3 shows the main results based on scenario analysis, mainly focusing on the change of the energy system and the transportation sector.

The main results, based on Banach's contraction mapping principle, Krasnoselskii's fixed point theorem and nonlinear alternative of Leray-Schauder type, are obtained in Section 3.

The main results, based on Banach's contraction mapping principle, Krasnoselskii's fixed point theorem and nonlinear alternative of Leray-Schauder type, are presented in Section 3.

The existence of quasi-periodic oscillations (from 2- to 6.6-day) in the ionospheric F region, which may be connected with the planetary wave activity in the mesosphere/lower thermosphere, and the main results based on studies of the critical frequency forF2 of the F region in both hemispheres are presented.

In this section, we will only derive our main results based on left MFDs.

This phenomenon is considered to be consistent with the main results based on the following reasoning.

The results from the sensitivity analyses supported the main results based on the 90 days blanking period.