The goal of this library is to construct polynomial and rational approximations given a collection of point data consisting of pairs of inputs and outputs that minimizes (for example) The ultimate ...

This project proposes an automatic method for the evaluation of functions via polynomial or rational approximations and their hardware implementations, on FPGAs. The approximations are evaluated using ...

Abstract: Recently, Polynomial Chaos (PC) has been proposed as efficient approach for performing uncertainty quantification in the the context of electronic design automation. A related approach, ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

ABSTRACT: In this paper, the traditional proof of “square root of 2 is not a rational number” has been reviewed, and then the theory has been generalized to “if n is not a square, square root of n is ...