Sentence examples for basic results on the from inspiring English sources

In this section, we collect some basic results on the homotopy continuation method.

We refer the reader to [2, 3] for basic results on the generalized inverses.

We first recall some necessary definitions and basic results on the topics in theliterature.

We first collect some basic results on the Morse theory for a C 2 functional defined on a Hilbert space.

First of all, we recall some basic results on the Fourier spectral method which will be used throughout this paper.

Next, we will state and prove some basic results on the existence, uniqueness, positivity and ultimate boundedness of solutions with positive initial conditions for model (4).

After that, Schweizer and Sklar [3] studied the properties of Menger PM-spaces and gave some basic results on these spaces.

We begin this section with a basic result on the usual Cliffordian Théodoresco operator defined by.

This section evaluates the quality of the ICS sampling approaches by comparing basic results on demographic variables in the samples of the ICS with data obtained on the same regional areas taken from the 2011 Census of the respective countries.

A basic result on this point is shown in Figure 4c.

These first basic results on minimum volume effects on the hospital landscape in Germany highlight state and patient perspectives.