Abstract: In this paper, we present a new method for multiplying polynomials in Chebyshev form. Our approach has two steps. First, the well-known Karatsuba's algorithm is applied to polynomials ...

Multiplying and dividing rational expressions might seem daunting at first, but breaking down the process into manageable steps makes it surprisingly approachable. By mastering a few key concepts and ...

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Shareholders approve the acquisitions of 2PointZero Holding and Ghitha Holding through share-swap transactions, to create a leading AED120bn next generation investment holding company Resolutions ...

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I have a branch ready that uses exp(x) instead of sin(x) as the y (target) variable. The reason for this is faster and clearer convergence, since exp(x) is well approximated by a Taylor expansion ...

In 1971, German mathematicians Schönhage and Strassen predicted a faster algorithm for multiplying large numbers, but it remained unproven for decades. Mathematicians from Australia and France have ...

Ritwik is a passionate gamer who has a soft spot for JRPGs. He's been writing about all things gaming for six years and counting. No matter how great a title's gameplay may be, there's always the ...

When I first started teaching, I thought a good lesson was all about delivering content and giving students time to practice it. But as I gained more experience, I realized that my students needed ...

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Abstract: In a recent paper, Lima, Panario, and Wang have provided a new method to multiply polynomials expressed in Chebyshev basis which reduces the total number of multiplication for small degree ...

This is an implementation of the Karatsuba polynomial multiplication algorithm in the LEGv8 assembly language, a RISC ISA part of the ARM architecture family. This was done as my final project for ECE ...