Notes on Spanish Amulets (Fourth Series). (With Plates I. and II.)

Graduate Macro Theory II: Notes on Time Series

A time series is a realization of a sequence of a variable indexed by time. The notation we will use to denote this is xt, t = 1, 2, . . . , T . A variable is said to be “random” if its realizations are stochastic. Unlike cross-sectional data, time series data can typically not be modeled as independent across observations (i.e. independent across time). Rather, time series are persistent in th...

Notes on Fourier Series

A function or a real variable f is said to be periodic with period P if f(x+ P ) = f(x) holds for all x. Hence, if we know the values of f on an interval of length P , we know its values everywhere. If f is a function defined on an interval [a, b), we can extend f to a function defined for all x which is periodic of period b− a. We simply define f(x) to be f(x+ n(b− a)), where n is the integer ...

Sequence Analysis I + II Lecture notes

Bibliography 163 iv Preface These lecture notes are an extended rewrite of Stefan Kurtz' version used at Bielefeld since approximately 2000. This version contains more explanatory text and should be, to some degree, suitable for self study. At Bielefeld University, elements of sequence analysis are taught in several courses, starting with elementary pattern matching methods in " algorithms and ...

Notes and Communications: Lehi’s Jerusalem and Writing on Metal Plates

Notes Fourth Amendment Limitations on Probation and Parole Supervision

The assertion of fourth amendment rights by a probationer' or parolee2 suspected of renewed criminal activity creates a potential confrontation between a fundamental constitutional guarantee3 and society's legitimate interest in correctional programs which rehabilitate released offenders and prevent them from lapsing back into crime.4 Because courts refuse to apply the exclusionary rule5 to pro...