Mathematical models of stationary long-range dependent processes are more complicated then ordinary autoregressive models as they involve fractional difference equations (or, ...

Using the principle of symmetric criticality [Palais 1979], we construct torus knots and links that extremize the Möbius-invariant energy introduced by O'Hara [1991] and ...

We describe a set of procedures that automate many algebraic calculations common in statistical asymptotic theory. The procedures are very general and serve to unify the ...

We present an automated generation of the subtraction terms for next-to-leading order QCD calculations in the Catani–Seymour dipole formalism. For a given scattering ...

The versatility of using rational functions as approximants is shown to facilitate the residue-approximation method for calculating mean extinctions in a wide range of ...

A simple Mathematica (version 7) code for computing S-state energies and wave functions of two-electron (helium-like) ions is presented. The elegant technique derived from ...

We present in this pedagogical paper several important aspects of multi-component batch distillation. These later include: (1) Experimental implementation and results of a ...

We derive potential energy functions for a shallow cylindrical panel. The starting point is a system of two coupled partial differential equations based on Donnell's shallow ...

Employing the asymptotic expansion approach, the boundary conditions of a beam are reconsidered in the present paper. Gregory and Wan's (1984) decay analysis technique is ...

Insufficient appreciation of the value of symbolic computation may restrict progress in statistical research and education. In this paper it is shown that complicated ...