Theoretical evaluation of the skeletal frequencies of normal propane and the normal frequencies of chlorine monoxide.

Thesis (M.A.)--Boston Universit

A comparison of thematic and episodic analyses of the Bach Two-Part Inventions.

Sources from which the data was drawn were limited to counterpoint texts and an analysis of all fifteen Inventions. Three counterpoint texts were found to qualify: Applied Counterpoint (1902) by Percy Goetschius, Counterpoint (1972) by Kent Kennan, and Essentials of Eighteenth-Century Counterpoint (1968) by Neale Mason. Bach in Color: The Two-Part Inventions (1961) by John Thompson also was an investigated source, since it contains an analysis of all fifteen Inventions. The three counterpoint texts limit thematic and episodic analysis to Inventions I, IV, and VII. Therefore, the comparative procedures of the study were limited to these three Inventions. An analysis was projected for portions missing from the text of Goetschius. Missing portions in Kennan and Mason were secured directly from the authors.At the conclusion of the study, a thematic and episodic analysis of the fifteen Two-Part Inventions by this writer is presented. Of the three categories employed, the first contains those straightforward statements of the subject which serve a primary thematic function. The second category contains those problematic statements of the short subject which, for a variety of reasons, sound as thematic entries but which generate tonal instability and/or a primarily developmental or cadential passage. Incongruence of formal and harmonic structure was found to affect some of these statements. The third category is composed of all other cadential, developmental and/or modulatory material. These more developmental passages are often referred to as episodes. By means of these three categories, recognition is given to the structural function of problematic statements of the short subject within the Two-Part Inventions.While Goetschius was found to include as thematic all statements of the entire short subject, the three recent analysts excluded many of these statements, thus classifying them as episode. Many reasons were found for these exclusions. However, the one of greatest significance is that of modulation, a very important function of episode in the fugal works of Bach.In analyzing the Bach Two-Part Inventions, analysts have classified passages as either thematic or episodic. However, considerable disagreement exists. Since the extent of a thematic area determines the limits of an episode, the problem of this study is presented in the form of a question: What are the differences in analyses of thematic areas in selected passages of the Bach Two-Part Inventions?Observation has shown that a given statement of an entire short subject may be classified as thematic by one analyst but episodic by another. Further analysis of the problem revealed three specific questions. The first is concerned with the categorizing and quantifying of subject statements that are included within thematic areas by analysts. The second question deals with differences in thematic analysis of certain statements imitating at the perfect fifth and the perfect fourth. The third question is directed toward the function of the harmony of certain statements which cause disagreement in analysis of thematic areas.The problem has been created by the inconsistent application of analytical terms to invention structure, particularly episode and to a lesser degree counterexposition. Therefore, a thorough review of the historical literature which discusses the terms and techniques of application is presented. These terms include fugue, imitation, exposition, counterexposition, and episode

Thomas Conley Interview

Transcript of an oral history interview with Thomas Conley by John Ernst on his experiences during the Vietnam War on July 7, 1997

Parametrized Ring-Spectra and the Nearby Lagrangian Conjecture

We prove that any closed connected exact Lagrangian manifold L in a connected cotangent bundle T*N is up to a finite covering space lift a homology equivalence. We prove this by constructing a fibrant parametrized family of ring spectra FL parametrized by the manifold N. The homology of FL will be (twisted) symplectic cohomology of T*L. The fibrancy property will imply that there is a Serre spectral sequence converging to the homology of FL and the product combined with intersection product on N induces a product on this spectral sequence. This product structure and its relation to the intersection product on L is then used to obtain the result. Combining this result with work of Abouzaid we arrive at the conclusion that L -> N is always a homotopy equivalence.Comment: 76 pages, 8 figures. With an appendix by Mohammed Abouzai

What jokes can tell us about arguments

Perelman teaches us that, unlike demonstrations, arguments cannot be reduced to or understood as closed systems. In some particular--but telling-- ways, arguments are like jokes. Telling a joke requires close attention to, e.g., appropriateness as re gards subjects, length (what details add or subtract from the humour), the extent of shared knowledge of both particulars and stereotypes, and whether it is possible to be ironic without being misunderstood. Thinking along these lines points up the futil ity of reducing either the invention or the evaluation of arguments to formal schemata

Supersymmetry Without Prejudice at the 7 TeV LHC

We investigate the model independent nature of the Supersymmetry search strategies at the 7 TeV LHC. To this end, we study the missing-transverse-energy-based searches developed by the ATLAS Collaboration that were essentially designed for mSUGRA. We simulate the signals for ~71k models in the 19-dimensional parameter space of the pMSSM. These models have been found to satisfy existing experimental and theoretical constraints and provide insight into general features of the MSSM without reference to a particular SUSY breaking scenario or any other assumptions at the GUT scale. Using backgrounds generated by ATLAS, we find that imprecise knowledge of these estimated backgrounds is a limiting factor in the potential discovery of these models and that some channels become systematics-limited at larger luminosities. As this systematic error is varied between 20-100%, roughly half to 90% of this model sample is observable with significance S>5 for 1 fb^{-1} of integrated luminosity. We then examine the model characteristics for the cases which cannot be discovered and find several contributing factors. We find that a blanket statement that squarks and gluinos are excluded with masses below a specific value cannot be made. We next explore possible modifications to the kinematic cuts in these analyses that may improve the pMSSM model coverage. Lastly, we examine the implications of a null search at the 7 TeV LHC in terms of the degree of fine-tuning that would be present in this model set and for sparticle production at the 500 GeV and 1 TeV Linear Collider.Comment: 51 pages, 26 figure

Measures Available to Industrial Arts Teachers to Control Discipline in Industrial Arts Laboratories

This study was concerned with corrective and preventive measures available to and used by industrial arts teachers to maintain and control student discipline in industrial arts laboratories

Critical manifolds and stability in Hamiltonian systems with non-holonomic constraints

We explore a particular approach to the analysis of dynamical and geometrical properties of autonomous, Pfaffian non-holonomic systems in classical mechanics. The method is based on the construction of a certain auxiliary constrained Hamiltonian system, which comprises the non-holonomic mechanical system as a dynamical subsystem on an invariant manifold. The embedding system possesses a completely natural structure in the context of symplectic geometry, and using it in order to understand properties of the subsystem has compelling advantages. We discuss generic geometric and topological properties of the critical sets of both embedding and physical system, using Conley-Zehnder theory and by relating the Morse-Witten complexes of the 'free' and constrained system to one another. Furthermore, we give a qualitative discussion of the stability of motion in the vicinity of the critical set. We point out key relations to sub-Riemannian geometry, and a potential computational application.Comment: LaTeX, 52 pages. Sections 2 and 3 improved, Section 5 adde