Sentence examples for approach we prove from inspiring English sources

Using ideas from the common information approach, we prove the existence of common information based equilibria.

In this paper, by using the DiBenedetto DeGiorgi approach we prove optimal kernel estimates for degenerate quasilinear parabolic equations.

To show the reasonableness of the mean chance approach, we prove the expected value operators defined in this paper coincide with those presented in our previous work.

Furthermore, with a different approach, we prove Rellich-type inequalities associated with the shifted Laplacian, which are again sharp in suitable senses.

As further application of this Morse theoretical approach, we prove more existence results and extend a topological invariant introduced by A. Bahri.

In the present paper, using another approach, we prove the following uniqueness theorem.

Regarding the mismatched approach, we proved that the CMML estimator derived under the assumption of Gaussian-distributed data converges almost surely to the true scatter matrix and to the true (t-distributed) data power, so it can be applied for inference problems that require the knowledge of these two quantities.

Although they appear to be conceptually very different approaches, we prove, theoretically and experimentally, that eccentricity and rotation correlation yield exactly the same linearity measurements.

Using similar approaches, we prove the stability of (1.2) under the approximately quadratic condition and the approximately additive condition in Section 5 and Section 6, respectively.

Inspired by the utility of both fixed point approaches, we prove a few fixed point results in a general framework which provides a bridge between two worlds, the order-theoretic and the metric one.

Unlike conventional approaches, we proved that the RT scheme should be modeled as a time‐varying channel from a practical viewpoint.