Certain perturbative expansions in physics are sums over all multigraphs with loops - i.e., graph-like structures in which each point can be connected to any other point, ...

Poisson series appear frequently in problems of non-linear dynamics and celestial mechanics. The size of such mathematical objects makes their manipulation by means of ...

Hyperbolic decay time series such as, fractional Gaussian noise (FGN) or fractional autoregressive moving-average (FARMA) process, each exhibit two distinct types of ...

A group theoretical algorithm to calculate the number of independent force constants of a molecule at any given order has been extended to treat linear molecules in a fashion ...

Mathematica is one of the newest and most powerful computer systems for doing symbolic, numerical, graphics, and programming manipulations. With its large capabilities, ...

A method is presented for determining the nonlinear stability of undamped flexible structures spinning about the axis of minimum moment of inertia. Equations of motion are ...

We develop a technique for systematically reducing the exponentially small (superasymptotic) remainder of an asymptotic expansion truncated near its least term, for solutions ...

Many problems in plasma physics involve substantial amounts of analytical vector calculation. The complexity usually originates from both the vector operations themselves and ...

Analytic expressions are summarized and the intrinsic behaviour of the chord length distribution and the small-angle scattering correlation function are investigated for the ...

Packages for Mathematica Versions 3 and 4 are provided in (Info3.m) and (Info4.m) respectively. Once the appropriate package is loaded the Options[obj,opt] and (?Aaaa) ...