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 ...

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: This paper is concerned with obtaining the inverse of polynomial functions using semidefinite programming (SDP). Given a polynomial function and a nominal point at which the Jacobian of the ...

Polynomials are algebraic expressions that combine constants, variables, and exponents. Higher degree polynomials have a degree greater than or equal to three. Solving these polynomials can be ...

Solving robot IK by finding zeros of a polynomial, from "IK-Geo: Unified Robot Inverse Kinematics Using Subproblem Decomposition" and "Redundancy parameterization and inverse kinematics of 7-DOF ...

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 ...

Differential equations are mostly prominent in the applications of chemistry, physics and mathematical models related to economic and biological processes, it is classified into two types, i.e.

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

Logical Math Riddles for Class 9: There’s no better workout for the brain than an intricate question. Have you ever noticed yourself spending hours scratching your head on a riddle, brain teaser or a ...