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 ...

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A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

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 ...

An illustration from the American Mathematical Monthly paper “A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode” Dean Rubine with a T-shirt carrying a mathematics joke about ...

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 ...

Nathan Liu was up by one point against his opponent, Brandon Ni of Massachusetts, in the final round of the “Countdown Round” of the 2025 RTX MATHCOUNTS National Competition. The presenter didn’t get ...

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 ...

Analyzing hidden costs of investing in leveraged ETFs through mathematical basis. Comparison of theoretical frictionless leveraged ETF returns with actual returns to identify embedded costs.