Sentence examples for system of rational from inspiring English sources

In effect, there are gaps in the system of rational numbers.

As indicated, Dedekind starts by considering the system of rational numbers seen as a whole.

In this sense, the system of rational numbers is not continuous, i.e. not line-complete.

Also, Özban [7] investigated the periodic nature of the solutions of the system of rational difference equations (1.4).

Namely, if we divide the whole system of rational numbers into two disjoint parts, thereby preserving their order, is each such division determined by a rational number?

To get clearer about that notion, Dedekind compared the system of rational numbers with the system of points on a geometric line.

Systems of rational difference equations have been studied by several authors.

Obviously, higher-order rational difference equations and systems of rational equations have also been widely studied but still have many aspects to be investigated.

Constitutional systems are systems of rational reconstruction, i.e., the concepts, objects, or truths that get constituted by definition from the basis are supposedly counterparts of concepts, objects or truths that we accept already pre-theoretically.

The goal of this paper is to apply these two new techniques to analyze global behavior of solutions to the more general family of first-order planar systems of rational difference equations (1) with nonnegative parameters.

Similarly, Touafek, and Elsayed [8] studied the periodicity nature of the following systems of rational difference equations: x n + 1 = y n x n − 1 ( ± 1 ± y n ), y n + 1 = x n y n − 1 ( ± 1 ± x n ).