There are many known asymptotic estimates for the expected number of real zeros of a random algebraic polynomial $a_{0} + a_{1}x + a_{2}x^{2} + \cdot\cdot\cdot + a_{n ...

The interplay between algebraic structures and orthogonal polynomials has emerged as a central theme in contemporary mathematics and theoretical physics. At its core, this research area explores how ...

Algebraic curves and polynomial systems form a cornerstone of modern computational and theoretical mathematics. These structures are defined by polynomial equations and exhibit rich geometric and ...

Transactions of the American Mathematical Society, Vol. 347, No. 6 (Jun., 1995), pp. 2161-2167 (7 pages) Let Sn be the collection of all algebraic polynomials of degree ≤ n with nonnegative ...

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

Adding to his extensive collection of simple but effective and clear math apps, Esa Helttula has now introduced Polynomial Long Division. Most of Esa's previous apps have been about arithmetic, ...

A mathematician has uncovered a way of answering some of algebra's oldest problems. University of New South Wales Honorary Professor Norman Wildberger, has revealed a potentially game-changing ...

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 ...

With the advent of the iPhone and iPad, new apps have come out of the woodwork. Educational apps for kids take up a huge piece of the market. And, I swear, half of those are ABC apps. But, among the ...

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