Sentence examples for number arguments from inspiring English sources

Later in [13], similar relations are investigated for Liouville number arguments, and it is proved that these series take values in the set of Mahler's U-numbers.

In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments.

In this paper, the series with rational coefficients are treated and it is shown that under certain conditions these series take values belonging to either the set of Liouville numbers or the rational number field for Liouville number arguments.

In this work, the series with algebraic coefficients are treated and it is shown that under certain conditions the values of these series are either algebraic numbers or U-numbers for Liouville number arguments.

In this work, we consider some power series with algebraic coefficients from a certain algebraic number field K of degree m and investigate transcendence of the values of the given series for some Liouville number arguments.

To ensure that a valid K-expression can be obtained, the length of the gene will be set such that (t=h n-1) +1), where h, t=h n-1n are, respectively, the length of the head, the length of the tail, and the maximum number arguments of a function.

Here Jevons brings in the large number argument.

A few weeks ago on the Today Show, the CEO of Exxon made the "profit per dollar of sales number" argument to Matt Lauer, but said that the profit number was now about ten cents "per dollar".

The background function takes a number argument, here a zero, that represents a color.

In Chapter 8, for example, Mr. Lewis begins by asking, "Are private profits necessary?" and proceeds to offer four numbered arguments in the negative.

Actuator and sensor selection is based on wave-number arguments.