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Schubert Polynomial Multiplication
Get PDFSchur polynomials are a fundamental object in the field of algebraic combinatorics. The product of two Schur polynomials can be written as a sum of Schur polynomials using non-negative integer coefficients. A simple combinatorial algorithm for generating these coefficients is called the Littlewood-Richardson Rule. Schubert polynomials are generalizations of the Schur polynomials. Schubert polynomials also appear in many contexts, such as in algebraic combinatorics and algebraic geometry. It is known from algebraic geometry that the product of two Schubert polynomials can be written as a sum of Schubert polynomials using non-negative integer coefficients. However, a simple combinatorial algorithm for generating these coefficients is not known in general. Monk’s Rule is a known algorithm that can be used in specific cases. This research seeks to identify more algorithms for the multiplication of Schubert polynomials. In this thesis, I will provide a brief overview of Schur polynomials and Schubert polynomials. Also, I will present diagrams called ’pipe-dreams’ to illustrate Schubert polynomials and establish a connection to Schur polynomials. Our main result is in Schubert polynomial multiplication. I will present two algorithms for Schubert polynomial multiplication, which generalize Monk’s rule in specific cases
The Meridian House Speech and Academic Influence on U.S. Policy in the Middle East
Get PDFThis paper will examine United States foreign policy in the Middle East Post Cold War through the lens of the Meridian House Speech, an influential speech given in 1992 that has shaped the United States’ foreign policy framework for the past twenty-five years. It will examine the work of Edward Said and John Esposito, two influential academics whose work heavily influenced the content of the speech. Finally, this paper will give a critical analysis of the speech and the implications it has had for our foreign policy in the Middle East
Portrait of 2 American European women, and two American Indian men.
No full textPortrait of 2 American European women, and two American Indian men. Women are seated, wearing dark colored dresses. Men are standing behind the women, wearing light colored suits. Men are holding their arms behind their backs. Decorative screen behind them.https://digitalcommons.assumption.edu/mallet-photographs/1062/thumbnail.jp
Portrait of 2 Omaha young women,
No full textOmaha young women, Maggie McCauley and Lizzie Leib, standing with arms interlocked in front of wooden building, wearing formal dresses. Handwritten at bottom of picture Maggie McCauley Lizzie Leib Omahas 1/2 [?]https://digitalcommons.assumption.edu/mallet-photographs/1001/thumbnail.jp
Portrait of an American Indian man Joe Garneau.
No full textPortrait of an American Indian man, standing and wearing a police or army uniform, his right hand is inserted between buttons of his coat. Handwritten caption reads, Joe Garneau Rosebud.https://digitalcommons.assumption.edu/mallet-photographs/1041/thumbnail.jp
Exterior portrait of wooden building.
No full textExterior portrait of wooden building. Handwritten caption reads, Genoa Indian Industrial School, Main Building, Genoa, Nance Co. Nebraska. American Indian boy in the foreground of the photograph.https://digitalcommons.assumption.edu/mallet-photographs/1022/thumbnail.jp
Integrating Care and Critical Reflection in Women\u27s Leadership Development Programs
Get PDFWomen’s leadership development programs (WLDPs) have been suggested as programmatic additions for achieving gender-equity in organizational contexts. These programs are conceptualized as transformative learning spaces affording women the opportunity to explore uncritically examined assumptions and create new perspectives of themselves as leaders. This paper explains how these types of transformative learning environments are predicated on dialogue that encourages critical reflection in the context of caring relationships. Recognizing that women may arrive in leadership programs with varied capacities for both relational learning and critical reflection, this paper seeks to explore the communication practices needed to create the dialogic conditions of care and critical reflection. It outlines the results of a qualitative study that examined critical incidents of dialogue in a women’s leadership development program to demonstrate the ways in which facilitators communicate to create these conditions. The results suggest how taking a communication perspective on dialogue may increase a facilitator’s capacity to integrate care and critical reflection
Screening Stocks Based on the Rational Approach to Decision-Making
Get PDFI propose a rational approach (RA) to decision-making process which, I believe, can be adapted as an alternative methodology for screening stocks. Subject to various constraints (e.g., budget, time horizon, market scope, etc.), the proposed methodology requires the consideration of several alternatives and criteria, assignment of weights of importance, and grading. Undoubtedly, decisions based on the RA ought to be characterized as rationally subjective. Naturally, the degree of rationality ought to be dependent on the capability of the decision maker to legally collect information based on the asset’s history, present performance of the issuing firm, and future forecasts; of course, the higher the degree of rationality the more efficient speculator the investor would be. Using a sample of 257 randomly selected stocks I determined their future values by relying on unevenly weighted criteria related to asset’s history, present performance of issuing firm, and future forecasts. After each stock was screened, a total score (TS) per stock was calculated; in turn, the stock TS was used as a test variable against future market price performance. Using receiver operating characteristic (ROC) analysis and various tests based on it, I determined the cutoff point of the TS test variable above which it pays to consider stocks favorably for inclusion in a portfolio. The results, although statistically significant at high levels, were characterized as weak and time horizon dependent: they produced an accuracy rate of about 60% for a short time horizon and about 58.5% for a longer time horizon. “Weak” though does not mean valueless: improved evaluation of stocks, shorter or longer time horizon between evaluation time and market testing, sample nature (industry-specific, local, and international) and size of sample may yield higher accuracy. Thus, searching for a cutoff point as proposed in this study is somewhat valuable for the identification of valuable stocks
Letter from an American Indian child to Indian Agent Mallet
Get PDFhttps://digitalcommons.assumption.edu/mallet-manuscripts/1001/thumbnail.jp
Studio portrait of Gabriel Dumont.
No full textStudio portrait of Gabriel Dumont. Seated, wearing fringed raw hide jacket.https://digitalcommons.assumption.edu/mallet-photographs/1069/thumbnail.jp