The solution of a (stochastic) dierential equation can be locally approximated by a (stochastic) expansion. If the vector eld of the dierential equation is a polynomial, ...

Primarily this paper deals with an implementation of the Zero Set Technique [1] in the Mathematica programming language. In particular, use is made of the language's elegant ...

Polynomial formulae for the Witten invariant of 3-manifolds for manifolds which bound plumbed 4-manifolds are developed via the combinatorial approach of Lickorish. A number ...

We shall discuss a method for obtaining parametric equations of a smooth curve that passes through a sequence of points, and compare it to cubic splines and to the method of ...

We describe a simple technique for computing population moments of a large class of sample statistics. We assume these to be symmetric functions of n independent ...

This paper presents a theory of noncommutative functions which results in an algorithm for determining where they are "matrix convex". Of independent interest is a theory of ...

We introduce the Mathematica package MT which can be used to compute, both analytically and numerically, convolutions involving harmonic polylogarithms, polynomials or ...

Given a random rectangular m x n matrix with elements from a normal distribution, what is the distribution of the smallest singular value? To pose an equivalent question in ...

This paper presents a new solution procedure for the forward displacement analysis of a general 5–5 in-parallel platform, i.e., the connection points are not restricted to ...

We use computational algorithms recently developed by us to study completely four index divergence free quadratic in Riemann tensor polynomials in GR. Some results are new ...