Few months ago, I read a book about Galois's work on insolvability of fifth degree polynomials. The book (and many introductory books in Japan) demonstrates the Galois group concept using the solution ...

Abstract: A given polynomial is transformed herein into a rational function. All the roots and multiplicities of the polynomial are then easily obtained from the poles and residues of this rational ...

Solving polynomials can be a challenging yet rewarding process when equipped with the right knowledge and techniques. Use this 13-step guide as a reference for tackling polynomials and expanding your ...

We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for ...

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...

Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran. [1] Q. Wang, “Numerical Solutions for Fractional KdV-Burgers Equatin by Adomian ...

which coincides with the exact solution, the error of the approximate solution (3.3.9) of Equation (3.3.1) at is given by Table 3. Table 3. Illustrates errors of ...

Roots can occur in a parabola in 3 different ways as shown in the diagram below: In diagram A, we can see that this parabola has 2 roots, diagram B has 1 root and diagram C has no roots. What type of ...

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