We prove a microlocal lower bound on the mass of high energy eigenfunctions Laplacian compact surfaces negative curvature, and more generally with Anosov geodesic flows. This implies controllability for Schrödinger equation by any nonempty open set, shows that every semiclassical measure has full support. also exponential decay solutions to damped wave such surfaces, nontrivial damping coeffici...

The paper presents the construction of a three-phase frequency converter with possibility choosing type PWM modulation and smooth change modulated signal. In practical way, various inverter control algorithms were implemented in same hardware system using STM ARM Cortex M3 processor. use THIPWM allowed to reduce harmonic content output signal effectively possibilities power source. can choose o...

Based on the technological process of obtaining tea products, factors determining its quality are considered. The analysis these and their classification. optimization labor costs time to perform control raw materials using methods probability theory. a simple discrete Markov chain, proposed system selective products by variable samples.