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.

Calculating roots of polynomial using 3 different methods and 3 different languages Write code to find the roots of arbitrary polynomials. The coefficients of the polynomial should be stored in an ...

The generalization of the logarithm and exponential functions proposed by Tsallis in 1988 has brought contributions in several areas in the last decades. Recently, we introduced a deformed exponential ...

We present an elementary topological proof that the roots of a polynomial vary continuously as a function of the coefficients. This monthly journal, begun in 1950, is devoted entirely to research in ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...

polynomial_roots This Jupyter notebood presents a Python code for an algorithm that finds all the real roots of a polynomial, using the roots of its derivative to obtain isolating intervals. Roots of ...

A polynomial equation such as z4 – 1 = 0 has as many roots as the highest power to which z is raised in the equation (the equation’s degree). In this instance, there are four complex roots.

Note that some functions may not possess a global extrema. 9. Interpret results: Analyze the local and global extrema in the context of your problem and find any critical insights or applications. By ...

Here we introduced the polynomial spectrum (p-spectrum), the fitting results with polynomial functions, to reveal the polynomial property of the weighted LD decay.