Radiation gas dynamic processes in an explosion caused by high-velocity impact of a cosmic body in mars' atmosphere

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 6, pp. 35–45, November–December, 1993.     

On the optimal evaluation of a set of bilinear forms

Although general theories are beginning to emerge in the area of automata based complexity theory, there are very few general methods or even general problem formulations in the area of arithmetic complexity. In this paper we propose and defined a general model for studying bilinear multiplication in order to provide a common framework for discussing a wide class of problems. The problem of minimizing the number of multiplications required to perform a calculation leads to a problem in matrix algebra relating to the expansion of a given set of matrices as linear combinations of rank-one matrices. In this paper we make a systematic attack on this problem and derived some general results which unify and extend numerous known results.     

Strategies for polyhedral surface decomposition: An experimental study

This paper addresses the problem of decomposing a complex polyhedral surface into a small number of “convex” patches (i.e., boundary parts of convex polyhedra). The corresponding optimization problem is shown to be NP-complete and an experimental search for good heuristics is undertaken.     

Coagulation and destruction of biological tissue by CO laser irradiation using fibre-optic cable

The first results on the use of a flexible fibre-optic cable (based on KRS-5 fibre) for the transmission of CO laser power to the operating zone for the coagulation and destruction of biological tissue are presented.