👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, ...

👉 Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. A polynomial ...

Abstract: Zernike circular polynomials (ZCP) play a significant role in optics engineering. The symbolic expressions for ZCP are valuable for theoretic analysis and engineering designs. However, there ...

Abstract: Crosstalk in interconnects plays a crucial role in electromagnetic compatibility and signal integrity. Recently, growing attention has been devoted to studying the impact of potential ...

An algorithm for finding the symbolic factors of a multivariate polynomial with integer coefficients is presented. The algorithm is an extension of a technique used by Kronecker in a proof that the ...

For the last two days my inbox (and LinkedIn messages) has been flooded with questions about headlines claiming that “Chinese researchers broke RSA encryption with a quantum computer, threatening ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Data-mining of single-cell RNA sequencing (scRNA-seq) is often transformed into learning of lower-dimensional embedding (Becht et al., 2019; Haghverdi et al., 2015; Maaten and Hinton, 2008) of the ...

Methods of polynomial factorization which find the zeros one at a time require the division of the polynomial by the accepted factor. It is shown how the accuracy of this division may be increased by ...