In [3] closed formulae for the forward, backward and symmetric solutions of an ARMA–Representation have been presented. Here these formulae are implemented in the symbolic computational language MAPLE and corresponding MAPLE code is provided.

We provide the secret Diffie-Hellman-Key which is requested by Kevin McCurley’s challenge of 1989. The DH-protocol in question has been carried out in (ZZ/pZZ)∗ where p is a 129-digit prime of special form. Our method employed the Number Field Sieve. The linear algebra computation was done by the Lanczos algorithm.

The Wigner formalism provides a convenient formulation of quantum mechanics in the phase space. Deterministic solutions of the Wigner equation are especially needed for problems where phase space quantities vary over several orders of magnitude and thus can not be resolved by the existing stochastic approaches. However, finite difference schemes have been problematic due to the discretization o...

in the present study, a spectral finite element method is developed for free and forced transverse vibration of levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. in the first step, the governing out-of-plane differential equations are tr...