SU(3) Revisited

The ``$D$'' matrices for all states of the two fundamental representations and octet are shown in the generalized Euler angle parameterization. The raising and lowering operators are given in terms of linear combinations of the left invariant vector fields of the group manifold in this parameterization. Using these differential operators the highest weight state of an arbitrary irreducible representation is found and a description of the calculation of Clebsch-Gordon coefficients is given.Comment: 22 pages LaTe

A simulation survey of galaxy interactions

Many carefully selected samples of interacting galaxies have been observed extensively in attempts to clarify whether interaction produces activity in galaxies. Because the sample members represent a wide range of encounter parameters and times, one can then study whether there are correlations between observable encounter features and, for example, Seyfert activity. On the other hand, in theoretical studies, simulations typically deal with either time-consuming detailed modelling of single galaxy pairs or tracing a few model encounters over time. The authors extend the observational survey approach by combining it with a simulation survey. The authors are conducting a survey of model encounters, covering the most important encounter parameters over a wide range. Some parameters, such as companion structure and initial velocity, are demonstratably less important and can be ignored in a first pass. The parameter range must be richly enough sampled so that the authors can evaluate the uniqueness of the observable morphology and velocity structure of the resulting simulated pairs to diagnose unobservable companion orbit parameters. They are using a self-gravitating polar n-body code run on the Cray X-MP at the Alabama Supercomputer Network. For each simulation, the authors have stellar and gas distributions predicted over, typically, a billion years, along with information on gas motions within the disk and any material captured by the companion or lost to the system. Features of disturbed spiral galaxies are sensitive enough to time and encounter parameters so that a match of the simulation survey results to observations can be applied as starting points to infer unobservable orbital or system parameters in actual sample members. This should enable them to examine whether interesting observed properties (Seyfert activity, nuclear star-formation rate) are functions of unobservable dynamical properties which characterize each encounter. Any correlations (or lack of some expected ones) will provide strong clues as to how or whether these phenomena are related to interactions. Aside from its use with such observed samples, this survey should greatly speed determination of initial orbital parameters for more detailed subsequent simulations of individual systems

When Arbitration Agreement Provisions Time Travel: Illusory Promises and Continued At-Will Employment in Baker

First, this Note discusses the particular facts of the Baker case, including its procedural history and holding. Then, the history of salient cases and law is covered in three main areas related to Baker, specifically the concept of arbitrability, at-will employment’s status as effective consideration, and when courts find promises to be illusory. Following that, this Note summarizes the court’s decision in Baker and its lengthy and thorough dissent. Finally, this note discusses the significance of this case in relation to both the history of the topics involved and their application going forward

A Study of the Farming Systems of Fifty Negro Farmers in Caldwell County, Texas

What are the factors influencing systems of farming? The problem of this study encompasses several interrelated aspects: 1. To discover, if any, the relationship between family-life and housing facilities and a particular system of farming. 2. To discover, if any, the relationship between farm land and a particular system of farming. 3. To discover, if any, the relationship between crop, livestock and poultry enterprises and a particular system of farming. 4. To discover, if any, the relationship between machinery and a particular system of farming. Experiences in Caldwell County, Texas indicate that there are farmers who have families, raise crops and foster other enterprises, yet their machinery and systems of faming vary. The apparent variations gave need for information to ascertain its relationship to the family life, farm land and enterprises of the farmers. The writer was desirous of discovering certain aspects because of the close relationship existing between the farmer and his line of work. This study was limited to fifty Negro farmers in Caldwell County, Texas. Its main concern is with an analysis of the systems of farmings in use, and their relationship with home and family life; farm land, enterprises and machinery used by these fifty farmers