Sentence examples for some basic estimates from inspiring English sources

In Section 3, after developing some basic estimates, we will prove Theorems 1.1 and 1.2.

Some basic estimates for the KS-integrals are summarized in the following proposition.

We establish some basic estimates that will play a crucial role in the proof of Theorem1.2.

In this section, we briefly recall some basic results of mixed-fBm and give some basic estimates.

Moreover, some basic estimates in [11] for fundamental solutions of (1.1) play an important role, especially in the proofs of Theorems 1.3 and 1.4.

The purpose of this work is to discuss the boundedness of Bergman projection acting on (mathcal{F}^{p} phi)) for general p. Section 2 is devoted to some basic estimates, including the distance (d(cdot, cdot)) and the (L^{p} phi -norm of the Bergman kernel.

Lemma 3.3 (basic estimates, [11, page 13, Theorem ]).

Our next goal is to exploit the various basic estimates we have established so far.

An analytic solution based on beam theory establishes basic estimates and scaling relationships.

Section 6 presents the basic estimates of the production function, as well as additional robustness tests and specification tests.

In theory, it is obvious that the more patches are present in the 3D block, the better estimates will be found for one single pixel as well as the better denoised basic estimates.