Engineering topics
Publications and source records attributed to Ainsworth, O. R..
The limit series for the Euler-Mascheroni constants is represented as an integral. Using this new representation, the first 200 values are computed along with assorted others up to 2000. The first 13 roots of gamma sub n, where n is a positive continuous variable, are also given.
Methods for evaluating the Euler-Mascheroni constants which appear in the Laurent expansion of the Reimann zeta function about Z = 1 are presented. The first 32 of these numbers are listed.
Using a simplified Large Space Structure (LSS) model, a technique was developed which gives algebraic relationships for the unconstrained poles. The relationships, which were obtained by this technique, are functions of the structural characteristics and the control gains. Extremely interesting relationships evolve for the case when the structural damping is zero. If the damping is zero, the constrained poles are uncoupled from the structural mode shapes. These relationships, which are derived for structural damping and without structural damping, provide new insight into the migration of the unconstrained poles for the CFPPS.
Markov chain procedures for space guidance and navigation problems
Transformation to phase variable canonical form