Ch. 23 Cointegration 1 Introduction An important property of (1) variables is that there can be linear combinations of theses variables that are I(O). If this is so then these variables are said to be cointegrated. Suppose that we consider two variables Yt and Xt that are I(1) (For example, Yt= Yt-1+ St and Xt= Xi-1+nt.)Then, Yt and Xt are said to be cointegrated if there exists a B such

Ch. 18 Vector Time series 1 Introduction In dealing with economic variables often the value of one variables is not only related to its predecessors in time but, in addition, it depends on past values of other variables. This naturally extends the concept of univariate stochastic process to vector time series analysis. This chapter describes the dynamic in

9.1 Introduction 9.2 Mechanism of Shrink for Fabric 9.3 Method of Antishrinking

7.1 Introduction 7.2 General Situation of Processing 7.3 Mechanism of Thermosetting 7.4 Analysis of Process of Thermosetting

Lyapunov analysis, which uses monotonicity of a given function of system state along trajectories of a given dynamical system, is a major tool of nonlinear system analysis It is possible, however, to use monotonicity of volumes of subsets of the state space to predict certain properties of system behavior. This lecture gives an introduction to suc methods

Overview lecture Space Systems Engineering presented by: Prof David Miller prepared by: Olivier de Weck Revised and augmented by: Soon-Jo Chung Chart: 1 16.684 Space Systems Product Development February 13, 2001

Part Listening and Speaking Activities Introduction of functions Listen and speak Try to speak more Make your own dialogue What are they for?

Part I Listening and Speaking Activities Introduction of functions Listen and speak Try to speak more Make your own dialogue What are they for? If you want to learn more

Background SDM split-summer format M Heavily front-loaded Systems perspective Concern with scaling Product development track, CIPD Place in wider context of product realization Joint 16(Aero/Astro)and 2(Mech E) Robust system design

1.1 Introduction to Automatic Control Automatic Control Systems permeate life in all advanced societies today. Technological develop- ments have made it possible to travel to the moon; explore outer space. And