General GMM formula Let y, be an h-vector of variables that are observed at date t, let denote an unknown vector of coefficients, h(e, y,) Be an r-vector real function. Let denote true value of 0, and suppose this true value is
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
What is rA? Y RA is a chronic polyarticular inf lammatory arthritis that involves not only small joints of the hands and feet but also systemic organs Y Pathologic change: chronic synovitis with pannus (IfL
Different Sort of Personal Identity:\Ethical\ Identity . Personal Identity: \Ethical\v. \Metaphysical\questions The previous lectures and readings on personal identity were primarily concerned with the metaphysics of personal identity. Question of diachronic identity/unity: Confronted with an individual X at one time and Y at another, what would make it the case that X and Y are (or are parts of) the same person? We've seen that the answer to this question may well depend on what sort of thing you think persons are: are persons bodies? Streams of consciousness?