Building Community Around Water: The Shift from Icon to Substance in the Local Politics of Water

11 pages

Caratheodory-Hamilton-Jacobi theory in optimal control

AbstractIn this paper we have presented the Caratheodory approach to the calculus of Variations as modified to suit optimal control problems. This method is by determining and solving a problem equivalent to the original problem, the Hamilton-Jacobi partial differential equation being a key step in the determination of the new problem. We have shown the relationship of the Pontryagin Maximum Principle to this method, as well as the analogs of the Weierstrass Excess Function and the classical sufficient conditions. We have also discussed the solution of the Hamilton-Jacobi partial differential equation and have illustrated the whole method with an example problem.The ideas presented in this paper are useful in the solution of optimal control problems, but their greatest value lies in a clearer understanding of the concepts underlying these problems

Realistic Self-Deterrence: An Alternative View of Nuclear Dynamics

Since the dawn of the nuclear age, and especially since nuclear weaponry was wedded to ballistic means of delivery across intercontinental ranges, a major (some would agree the major) goal has been the avoidance of strategic nuclear war between the United States and the Soviet Union

Grizzly Bears, Politics and the Language of Efficiency

13 pages

A Conductor’s Guide to Wind Instrument Deficiencies: A Practical Addendum to the Undergraduate Conducting Text

commonly used undergraduate conducting texts that teach the correction of wind intonation deficiencies. Research has indicated that conductors must be aware of and be trained to recognize and correct intonation deficiencies of wind instruments. Music teachers must understand acoustical differences among just, Pythagorean, and tempered tuning systems. Nonetheless, existing pedagogical materials for undergraduate conductors in training are of little or no help. The supplemental text addresses intonation deficiencies and provides musical examples and exercises to help the young conductor gain an understanding of the factors that adversely affect the intonation of wind instruments. The body of literature on the subject of intonation contributed by music educators has been utilized in the various chapters of this dissertation. The inherent problems of musical instruments and harmonic intervals as they relate to acoustics have also been examined. These resources have been essential in the development of individual tuning charts to reinforce musicians’ awareness of the general pitch tendencies of their instruments and the systemization of intonation deficiencies found in the above-mentioned research has been valuable in creating a system to aid performers in the awareness of the tendencies of their own instruments. This study is a valuable resource for conductors struggling with wind intonation and serves as a time-saving reference source for instructors with limited rehearsal time. Without extremely clear and comprehensible answers to the questions “tune how?” and “listen to what?” student musicians face an impossibly vague challenge. This study will provide band directors with the resources to answer these questions