Ch. 22 Unit root in Vector Time series 1 Multivariate Wiener Processes and multivari- ate FCLT Section 2.1 of Chapter 21 described univariate standard Brownian motion W(r) as a scalar continuous-time process(W: rE0, 1-R). The variable W(r) has a N(O, r)distribution across realization, and for any given realization, w(r) is continuous function of the date r with independent increments. If a set of k such independent processes, denoted
Lecture 4 Introduction to Spline Curves 4.1 Introduction to parametric spline curves Parametric formulation =r(u),y=y(u), z=2(u) or R=R(u)(vector notation) Usually applications need a finite range for u(e.g. 0
Lecture 2 Differential geometry of curves 2.1 Definition of curves 2.1.1 Plane curves Implicit curves f(, y)=0 Example:x2+y2=a2 It is difficult to trace implicit curves It is easy to check if a point lies on the curve Multi-valued and closed curves can be represented
Index absorptance HT-54 cylindrical geometry see non-planar geometry absorption HT-57 adiabatic 0-5.0-9 Diesel cycle 2A-4 adiabatic efficiency see efficiency diffusivity ht-22 adiabatic flame temperature 2C-7 dissipation 1C-10 drag HT-24 Biot number HT-30, HT-36 black body HT-56, HT-63 see also
