The project consists of three main parts. It's worth noting that each best second-kind rational approximation is also the best first-kind rational approximation. Build and compile the project using ...

Abstract: Generalized Chebyshev functions of an arbitrary order with up to three real-frequency zero pairs are derived in an explicit rational polynomial expression. Given in-band ripple level and ...

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: 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, ...

College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China. For this problem, the paper will be divided into two parts. The first part will provide the ...

I needed this recently and thought adding it to SymPy should be an easy win. A more efficient algorithm is to see the polynomial as a formal power series, use Newton's method to find the square root ...

In this paper D-optimal designs for the weighted polynomial regression model of degree p with efficiency function (1 + x 2)-n are presented. Interest in these designs stems from the fact that they are ...

This is a preview. Log in through your library . Abstract We present a polynomial time algorithm to compute any fixed number of the highest coefficients of the Ehrhart quasi-polynomial of a rational ...