We study the problem of deciding whether a system of real polynomial equations and inequalities has solutions, and if yes finding a sample solution. For polynomials with ...

The historical roots of the calculus of variations trace back to Newton's Principia Mathematica problem concerning the shape of a solid of revolution that experiences minimal ...

In this MathSource Review, we again take our review fodder from that larger MathSource -- the World Wide Web. We probe two web sites in which one submits inputs for ...

It is known that a lot of mathematical calculations must be processed during the practical use of exact and approximate methods that are designed to analyze different ...

We want to study the asymptotic behaviour of the complete elliptic integral of the first kind K(m) when m->1. This is motivated, for example, by the occurrence of K(m) as ...

The DSolve function provides exact solutions for a variety of ordinary differential equations, partial differential equations and differential-algebraic equations. We will ...

In case of considerable nonlinearity i.e. in geodesy, photogrammetry, robotics, it is difficult to find proper initial values to solve the parameter estimation problem of 3D ...

This paper deals with a special class of 6th order surfaces with a quadruple straight line in a three-dimensional Euclidean space. These surfaces, denoted by P6 4 , are the ...

This paper concentrates on iterative methods for obtaining the multiple roots of nonlinear equations. Using the computer algebra system Mathematica, we construct an iterative ...

A class of polynomial differential systems with high-order nil potent critical points are investigated in this paper.Those systems could be changed into systems with an ...