Abstract: A novel permutation rational function is proposed first, and the algebraic properties of permutation rational are discussed in detail. The application of this permutation rational function ...

It is shown that a continuous function which Riemann is said to have believed to be nowhere differentiable is in fact differentiable at certain points. Note: The article usage is presented with a ...

It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question. In June 1978, the ...

Extending a result of Khavinson and $\acute{S}wi\cedil{a}tek$ (2003) we show that the rational harmonic function $\overline {r(z)} - z$, where r(z) is a rational function of degree n > 1, has no more ...

rationalmatrices collects classes, methods and tools for creating and manipulating rational matrices, i.e. matrices whose entries are rational functions. It provides the fundamentals for the R package ...

We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of ...

This jupyter notebook implements a rational approximation of the Prabhakar function (three parameter Mittag Leffler function). For a detailed discussion of the approximation method, we refer the ...

Abstract: An efficient rational function modeling approach of on-chip passive components, especially spiral inductors, is presented. In addition to the minimal number of model coefficients compared to ...

RATIONAL AND IRRATIONAL NUMBERS- In this topic, we will discuss about the definition of rational and irrational numbers and their examples. In the Math subject, you will encounter this particular ...