Hodge theory connects the geometry of algebraic varieties to their topological properties via the Hodge decomposition and Hodge diamond. It has been central to developments in mirror symmetry, ...

Abstract: Establishing whether a two-side matrix polynomial is definite over unitary complex numbers is an important problem in modeling, analysis and design of control systems. This paper addresses ...

I've written a number of other polynomial implementations and numeric types catering to various specific scenarios. Depending on what you're trying to do, another implementation of this same library ...

👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that a polynomial is an expression of the ...

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 ...

1 Technical College Dimitrie Leonida, Bucharest, Romania. 2 Department of Mathematics, West Chester University, West Chester, USA. 1.1. Here We Recall a Couple of Basic Facts and State Our Main Result ...

In this math tutorial I will show you how to multiply complex numbers. Complex numbers come in the form of a +bi. Multiplying ...

The HoChiMinh-City Physical Association, Ho Chi Minh City, Vietnam. In many branches of mathematics the problem of Bernoulli numbers related to the millenary problem of power sums is probably the most ...