On the Estimation of the Distribution of Power Generated at a Wind Farm using Forecast Data

New regulations on the supply of electrical energy in Ireland have introduced a system of suppliers bidding proposals for the cost of supply for each 30 minute period of the following day. In order to effectively bid and hedge against adverse events, it is necessary to assess the uncertainty of supply from wind energy farms. Hence, the aim of this study group was to estimate the distribution of power supply from a given set of wind farms a day in advance given forecast data

Testimony Before the Subcommittee of the Senate Judiciary Committee

This testimony was originally published in the May 81, 1974 issue of Commonweal under the title Protecting the Unborn. Reprinted with permission from Commonweal, 232 Madison Avenue, New York , N. Y. 10016. Dr. Ramsey is Harrington Spear Paine Professor of Religion at Princeton University. A scholar and teacher in the fields of religious ethics and social philosophy, he is also concerned with the serious moral issues emerging in the area of medical ethics

Faithfulness of bi-free product states

Given a non-trivial family of pairs of faces of unital C*-algebras where each pair has a faithful state, it is proved that if the bi-free product state is faithful on the reduced bi-free product of this family of pairs of faces then each pair of faces arises as a minimal tensor product. A partial converse is also obtained.Comment: 11 pages, accepted to Proceedings of the American Mathematical Societ

Automorphisms of free products and their application to multivariable dynamics

We examine the completely isometric automorphisms of a free product of noncommutative disc algebras. It will be established that such an automorphism is given simply by a completely isometric automorphism of each component of the free product and a permutation of the components. This mirrors a similar fact in topology concerning biholomorphic automorphisms of product spaces with nice boundaries due to Rudin, Ligocka and Tsyganov. This paper is also a study of multivariable dynamical systems by their semicrossed product algebras. A new form of dynamical system conjugacy is introduced and is shown to completely characterize the semicrossed product algebra. This is proven by using the rigidity of free product automorphisms established in the first part of the paper. Lastly, a representation theory is developed to determine when the semicrossed product algebra and the tensor algebra of a dynamical system are completely isometrically isomorphic.Comment: 21 pages, final version, accepted to Indiana U. J. of Mat

The Gluon Spin Asymmetry as a Link to Delta G and Orbital Angular Momentum

The fundamental program in high energy spin physics focuses on the spin structure of the nucleon. The gluon and orbital angular momentum components of the nucleon spin are virtually unknown. The J_z=1/2 sum rule involves the integrated parton densities and can be used to extract information on the orbital angular momentum and its evolution. To avoid any bias on a model of Delta G, we assume that the gluon asymmetry, A=Delta G/G can be used to extract Delta G over a reasonable kinematic region. Combining the results for Delta G with the evolution equations, we can determine a theoretical expression for the orbital angular momentum and its evolution.Comment: 4 pages, LaTeX2e, 1 figure. Talk given at SPIN2004, Trieste, Ital

Determining Spin-Flavor Dependent Distributions

Many of the present and planned polarization experiments are focusing on determination of the polarized glue. There is a comparable set of spin experiments which can help to extract information on the separate flavor-dependent polarized distributions. This talk will discuss possible sets of experiments, some of which are planned at BNL, CERN, DESY and JHF, which can be used to determine these distributions. Comments will include the estimated degree to which these distributions can be accurately found.Comment: 6 pages, LaTeX, uses aipproc.sty. Talk given at SPIN 2002, Brookhaven National Laboratory, September 9-13, 200