Non-Supersymmetric, Multi-Center Solutions with Topological Flux

We find an infinite class of non-supersymmetric multi-center solutions to the STU model in five-dimensional ungauged supergravity coupled to two vector multiplets. The solutions are obtained by solving a system of linear equations on a class of Ricci-scalar-flat K\"ahler manifolds studied by LeBrun. After imposing an additional U(1) isometry in the base, we solve the axisymmetric $SU(\infty)$ Toda equation and obtain explicit supergravity solutions containing arbitrary numbers of 2-cycles with cohomological fluxes of all three flavors. This improves upon a previous result where only two of the three fluxes were topologically non-trivial. Imposing regularity and absence of closed timelike curves, we obtain "bubble equations" highly reminiscent of those known in the supersymmetric case. Thus we extend much of the analysis done for BPS bubbling solutions to this new family of non-supersymmetric bubbling solutions.Comment: 51 pages, 8 figures, substantial changes made to improve analysis of orbifold groups in sections 4,

Modern Crypto-Analysis of Polyalphabetic Ciphers Using a Genetic Algorithm

This project involved implementing a genetic algorithm to help automate the crypto-analysis of the Vigenere cipher

Refining a Phase Vocoder for Vocal Modulation

Vocal harmonies are a highly sought-after effect in the music industry, as they allow singers to portray more emotion and meaning through their voices. The chords one hears when listening to nearly any modern song are constructed through common ratios of frequencies (e.g., the recipe for a major triad is 4:5:6). Currently, vocal melodies are only readily obtainable through a few methods, including backup singers, looper-effects systems, and post-process overdubbing. The issue with these is that there is currently no publicly-available code that allows solo-artists to modulate input audio to whatever chord structure is desired while maintaining the same duration and timbre in the successive layers. This thesis plans to address this issue using the phase vocoder method. If this modulation technique is successful, this could revolutionize the way vocalists perform. The introduction of real-time self harmonization would allow artists to have access to emphasized lyrical phrases and vocals without needing to hire and train backup vocalists. This phase vocoder would also allow for more vocal improvisation, as the individual would only need to know how to harmonize with themselves and would thus not be relying on interpreting how backup vocalists plan on moving the melody when creating more spontaneously

Actual Innocence in New York: The Curious Case of \u3cem\u3ePeople v. Hamilton\u3c/em\u3e

It is rare for a case from the New York Appellate Division to be as significant as People v. Hamilton. The case, however, was the first New York appellate court decision to hold that a defendant might vacate his conviction if he could demonstrate that he was “actually innocent” of the crime of which he was charged. Although the precedential force of the decision is limited to the Second Department, trial courts throughout the state are required to follow Hamilton unless or until the appellate court in their own Department rules on the issue. Courts throughout the state are thus entertaining numerous “actual innocence” motions inspired by Hamilton. While courts in some other states, including state appellate courts, have recognized actual innocence claims, whether such claims should be recognized, and if so under what circumstances, is a very live issue in the federal courts and numerous state courts throughout the country. Examination of Hamilton, therefore, provides a useful way to consider issues that are of surpassing importance in criminal law and that will likely reoccur in cases throughout the country. As Hamilton goes further than many other courts have in considering the implications of actual innocence claims, consideration of Hamilton may be of considerable value to courts that consider actual innocence claims. Hamilton is a trailblazer, and its trail will repay careful study

Schisms: The Inherent Dangers of Religious Variance Within a Single Faith – An Analysis of Intra-State Conflict in the Modern World

This essay explores the relationship between religious variance within a single faith and the frequency of intra-state conflict. Specifically, an emphasis is placed on Sunni and Shia conflict within the overarching umbrella of Islam. Utilizing the most recent empirical data in conjunction with other scholarly research, it can be hypothesized that the more diverse a state is within a single subset of one particular religion, the more frequent the incidence of intra-state conflict is as well

Spatial Correlates of U.S. Heights and BMIs, 2002

Aiming to further explore possible underlying causes for the recent stagnation in American heights, this paper describes the result of analysis of the commercial U.S. Sizing Survey. Using zip codes available in the data set, we consider geographic correlates of height such as local poverty rate, median income, and population density. We find that after adjusting for variables known to influence height such as income and education, population density is negatively correlated with height among white men, but only marginally among white women. Similar analysis of Body Mass Index (BMI) also shows a negative correlation with population density after adjustment for income, education, and age for both sexes. Local economic conditions as measured by median income, unemployment rate or poverty rate do not have a strong correlation with height or weight after adjusting for individual income and education

Underperformance in affluence: the remarkable relative decline in American heights in the second half of the 20th-century

Objective: We use the complete set of NHES and NHANES data collected between 1959 and 2004 in order to construct trends for the physical stature of the non-Hispanic white and black US adult population and compare them to those of Western- and Northern-Europeans. Method: Regression analysis is used to estimate the trend in US heights stratified by gender and ethnicity holding income and educational attainment constant. Results: US heights have stabilized at mid-century and a perio0d of stagnation set in with the birth cohorts 1955-74, concurrent with continual rapid increases in heights in Western and Northern Europe. The American population had been the tallest in the world for two centuries until World War II, but by the end of the 20th century fell behind many of their European counterparts. Only since the most recent birth cohorts 1975-83 is some gain apparent among whites but not among blacks. The relationship between height and income and between height and educational attainment has not changed appreciably over time for either men or women. Conclusion: We conjecture that the American health-care system, as well as the relatively weak welfare safety net might be the reason why human growth in the United States has not performed as well in relative terms as one would expect on the basis of income. The comparative pattern bears some similarly to that of life expectancy insofar as the US is also lagging behind in that respect