We describe a hierarchical set of packages to perform basic analyses of signals (functions) and systems (operators) The packages are based on transform theory and implement a ...

A Mathematica package BioEqCalc.m has been developed for treating complex equilibria in aqueous solutions. The package is geared towards the treatment of biochemical systems ...

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 ...