Implicit polynomials have proved themselves as having excellent representation power for complicated objects, and there is growing use of them in computer vision, graphics, ...

In this notebook, i assume constant pressure of 100 psi (industry standard) and know the temperatures of the gas coming out of the 227 MW GE 7F 05 turbine which is 2400 ...

The 'Links-Gould invariant' is a two-variable Laurent polynomial invariant of oriented (1,1) tangles, which is derived from the representation of the braid generator ...

We consider the question about the number of master integrals for a multiloop Feynman diagram. We show that, for a given set of denominators, this number is totally ...

Iteration of quadratic polynomials in complex dynamics leads to the Mandelbrot set, one of the most beautiful and famous images in modern mathematics. There is a ...

Wavelets are sets of basis functions used in the analysis of signals and images. In contrast to Fourier analysis, wavelets have both spatial and frequency localization, ...

Complex algebraic numbers form a new class of "infinite precision" numbers available in Mathematica 3.0. Content: root isolation; ordering the roots; computation with ...

We describe the use of Mathematica in the investigation of some aspects of finite geometry, in particular we look at an example of finding a single polynomial function ...

In this paper we present two methods of computing with complex algebraic numbers. The first uses isolating rectangles to distinguish between the roots of the minimal ...

An algorithm to compute polynomial conserved densities of polynomial nonlinear lattices is presented. The algorithm is implemented in Mathematica and can be used as an ...