We present new, eecient algorithms for computations on separable matrix algebras over innnite elds. We provide a probabilistic of the Monte Carlo type to nd a generator for the centre of a given algebra A F mm over an innnite eld F using a number of operations that is within a logarithmic factor of the cost of solving m m systems of linear equations. A Las Vegas algorithm is also provided under...

The asynchronous systems are the models of the asynchronous circuits from the digital electrical engineering. An asynchronous system f is a multi-valued function that assigns to each admissible input u : R → {0, 1}m a set f(u) of possible states x ∈ f(u), x : R → {0, 1}n. A special case of asynchronous system consists in the existence of a Boolean function Υ : {0, 1}n × {0, 1}m → {0, 1}n such t...

Given the infinitesimal generator A of a C0-semigroup on the Banach space X which satisfies the Kreiss resolvent condition, i.e., there exists an M > 0 such that ‖(sI−A)‖ ≤ M Re(s) for all complex s with positive real part. We show that for general Banach spaces this condition does not give any information on the growth of the associated C0-semigroup. For Hilbert spaces the situation is less dr...

A CMOS standard three-stage ring oscillator is examined in UMC 0.13 m technologies. As the ring oscillator is a part of IR-UWB (Impulse Radio Ultra Wide Band) pulse generator, its oscillating frequency determines the central frequency of the pulse spectrum and has significant effect on spectrum fitting within UWB FCC mask. The influence of inverter feedback resistors on the ring oscillator freq...

This thesis presents the design for a piezoelectric droplet generator capable of producing highly repeatable droplets ranging from 0.60 mm to 1.60 mm in diameter. The generator is low cost, simple to fabricate, and easily reproducible for use in other fluids experiments. A series of experiments were conducted to investigate the effects of various operating parameters on the droplet generation p...

In this study, design, implementation, and power performance analyses of a micro wind turbine (MWT) system are presented. An original permanent magnet synchronous generator (PMSG) that reduced cogging torque was employed as a generator in the MWT. A novel blade form offering better performance at low wind speeds was also utilized for the MWT blades. Power performance analyses of the MWT were ca...

We consider Markov process fX(t); t 0g with the extended generator A and the domain D(A). Let fF t g be the right-continuous history ltration and by I P t we denote the restriction of IP to fF t g. Let ~ I P be another probability measure on ((; F) such that d ~ I P t =dI P t = M (t), where M (t) = h(X (t)) h(X (0)) exp ? Z t 0 (Ah)(X(s)) h(X (s)) ds ; is a true martingale for a positive functi...

We develop an event generator, NLL-QEDPS, based on the QED shower including the next-to-leading logarithm correction in the e + e − annihilation. The shower model is the Monte Carlo technique to solve the renormalization group equation so that they can calculate contributions of α m log n (S/m 2 e) for any m and n systematically. Here α is the QED coupling, m e is the mass of electron and S is ...

The first renormalization group methods for the calculation of the equation of state utilized entirely field theoretic techniques [1]. Recently, equations of state have been obtained by using a combination of field theoretic and differential renormalization group methods [2, 3]. In this work, we introduce a calculational method which is entirely differential in character. This differential gene...

Low power design trends raise the possibility of using ambient energy to power future digital systems. A chip has been designed and tested to demonstrate the feasibility of operating a digital system from power generated by vibrations in its environment. A moving coil electromagnetic transducer was used as a power generator. Calculations show that power on the order of 400 W can be generated. T...