We adapt an earlier semiclassical theory of laser cooling of an arbitrary multistate atom to the limit of low light density. The formal theory is implemented analytically on ...

This paper treats the industrial application of computer-algebra simulation (CALS). CALS is a combination of symbolic and numeric methods, which is very well suited for ...

The O(h^4) finite-difference scheme for the second derivative u^n(x) leads to a coherent pentadiagonal matrix which is factorized into two tridiagonal matrices. This ...

The PNGBitmap package reads and writes Portable Network Graphics bitmaps into the kernel of Mathematica. The images can be manipulated, written and used as textures for ...

Symbolic algebra relevant to the renormalization of gauge theories can be efficiently performed by machine using modern packages. We devise a scheme for representing and ...

Although the Johnson-Neyman problem has been well defined in the literature, computational problems have restricted its use by researchers. The computational problems can be ...

A new algorithm for the symbolic computation of polynomial conserved densities for systems of nonlinear evolution equations is presented. The algorithm is implemented in ...

The first associated (numerator polynomials) of all classical orthogonal polynomials satisfy one fourth-order differential equation valid for the four classical families, but ...

At a time when the United Nations, in collaboration with Wolfram Research, has selected the Mathematica software package to inform developing countries about available ...

This paper describes a hybrid, analytical/numerical, one-dimensional fog and stratus prediction model being developed for the US Air Force. The model is designed to run on a ...