Sentence examples for elementary properties of these from inspiring English sources

Some elementary properties of these functions in terms of their directional derivatives have been studied by Bhatia and Mehra [12].

The basic approach is to use elementary properties of the linear basis functions to search for particles on the grid using the element last occupied as an initial guess.

For this reason, the book starts with the most elementary properties of the natural integers.

A study investigating the elementary properties of the resultant mean-map has been stated in [1].

The following lemma states elementary properties of the function Φ, see Definition 2.3.

The elementary properties of the mean-transformation m ⟶ m π t are summarized in the next result.

We can find the definition and some elementary properties of the fractional Laplacian operator in Yosida [2].

Now, we state the following result summarizing the elementary properties of the mean-map (mlongmapsto m^{ q)}) for (qin 0,1)).

Elementary properties of the Dirac operators and left monogenic functions can be found in [8, 9, 26 29].

We end this section by stating the following result, which summarizes some elementary properties of the index.

One of the elementary properties of the gamma function is that Γ ( x + 1 ) = x Γ ( x ).