Definition A real-valued function V: X H R defined on state space X of a system with behavior set B and state r:B×[0,∞)→ X is called a Lyapunov function if tHv(t)=v(a(t))=v(a(z(), t)) is a non-increasing function of time for every z E B according to this definition, Lyapunov
Ch. 16 Stochastic Model Building Unlike linear regression model which usually has an economic theoretic model built somewhere in economic literature, the time series analysis of a stochastic process needs the ability to relating a stationary ARMA model to real data. It is usually best achieved by a three-stage
1. Price changes affect quantity demanded for two reasons: They attractiveness of substitute goods and they alter the real value of the consumers purchasing power. The second effect grows larger as the share of the consumers
1. Classification y Ideal or perfect crystal real or defect crystal According to dimension o point defect: vacancies, interstitial atoms s line defect dislocation planar defect: stacking fault o volume defect mosaic structure
Which of the following are real problems with the ritz method 1. Selection of basis functions for general ge- metres 2. Lack of systematic procedure to compute stiff atrix and forcing terms
How experts make decisions in the real world Descriptive method Stress, time-pressure, dynamic conditions, ambiguous information, and ill-defined goals Heuristics may introduce bias but can be very powerful Other related research areas
