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Googol-Part Fugue: Another Imagination Of Divine Providence And Game Theory, Gideon Lee 2013 NumberSciences

Googol-Part Fugue: Another Imagination Of Divine Providence And Game Theory, Gideon Lee

ACMS Conference Proceedings 2013

The problem of evil presents an intellectual hurdle for some to believe in a good and omnipotent God. The emergence of open theism could be seen as an attempt to make a stronger case for the free will defense. However, in denying divine foreknowledge as traditionally understood, open theism contradicts biblical revelation not only in its direct claims, but also when its logical implications for divine providence are worked out. The open theist Alan Rhoda has sought to explain through game theory how some degree of divine providence is possible under open theism. That explanation is astonishing since the open …


Life Lessons From Leibniz, Andrew J. Simoson 2013 King University

Life Lessons From Leibniz, Andrew J. Simoson

ACMS Conference Proceedings 2013

The tri-centennial of Leibniz’s death is nigh (2016). And 2013 is not too early to begin a special celebration of this man of mathematics. Besides being the co-discoverer of calculus and the implementer of binary numbers, formal logic, and formal languages, all of which foreshadowed the computer age, Leibniz is said to be one of the last to know almost everything that was known about almost anything. Professionally, his occupation was librarian in the princely court of Hanover in oldGermany. Serving under three different princes, the last of whom became George I of England, Leibniz had to continual lyre-invent himself—somewhat …


Al-Khwārizmī: Founder Of Classical Algebra, Calvin Jongsma 2013 Dordt College

Al-Khwārizmī: Founder Of Classical Algebra, Calvin Jongsma

ACMS Conference Proceedings 2013

Adopting a historically defensible definition of “algebra,” we will begin by exploring a few examples of algebra prior toal-Khwarizmi. We will then examine what algebra became through al-Khwarizmi’s work. In conclusion, we will assess thehistorical importance of al-Khwarizmi’s contributions for developments in European algebra.


Expanding Jonathan Edwards’ Typology Program: The Bell Curve As A Type Of Christ, Jason Wilson 2013 Biola University

Expanding Jonathan Edwards’ Typology Program: The Bell Curve As A Type Of Christ, Jason Wilson

ACMS Conference Proceedings 2013

Over two hundred years after his death, an unfinished notebook of Jonathan Edwards’ was published for the first time in1993. Edwards was a father of the Evangelical movement, but because his work on typology was not published until recently, it has received almost no attention. In his notebook, Edwards makes an explicit argument for extending biblical typology to nature in a biblically grounded manner. This study is an attempt to extend that research program into mathematics/statistics.We will consider the following proposition, “The normal distribution (the graph of which is the bell curve) is a biblical type of Christ.” The basic …


Knots In The Canonical Book Representation Of Complete Graphs, Dana Rowland, Andrea Politano 2013 Merrimack College

Knots In The Canonical Book Representation Of Complete Graphs, Dana Rowland, Andrea Politano

Mathematics Faculty Publications

We describe which knots can be obtained as cycles in the canonical book representation of the complete graph Kn, and we conjecture that the canonical book representation of Kn attains the least possible number of knotted cycles for any embedding of Kn. The canonical book representation of Kn contains a Hamiltonian cycle that is a composite knot if and only if n ≥12. When p and q are relatively prime, the (p, q) torus knot is a Hamiltonian cycle in the canonical book representation of K2p+q. …


Delaware, Dickeson, Assessment And How You Can Help, Greg Crow, Maria Zack 2013 Point Loma Nazarene University

Delaware, Dickeson, Assessment And How You Can Help, Greg Crow, Maria Zack

ACMS Conference Proceedings 2013

How much release time should a chair receive? What is the cost per unit for a particular academic program? What is a student credit hour (SCH) anyway and why would anyone care? Why are so many boards enamored of Delaware, Dickeson and Assessment? The answer to these and many related questions will be presented in this talk. Analytics and various“efficiency measures” are becoming increasingly important in higher education and mathematicians and computer scientists are being regularly recruited to help university administrators make meaning from large volumes of data. Come and learn about this trend and how you can be of …


Topological Criteria For Schlichtness, Zach Teitler 2013 Boise State University

Topological Criteria For Schlichtness, Zach Teitler

Mathematics Faculty Publications and Presentations

We give two sufficient criteria for schlichtness of envelopes of holomorphy in terms of topology. These are weakened converses of results of Kerner and Royden. Our first criterion generalizes a result of Hammond in dimension 2. Along the way, we also prove a generalization of Royden's theorem.


Meromorphic Lévy-Khintchine Exponents With Poles Of Order Two, Guillaume Coqueret 2013 Louisiana State University

Meromorphic Lévy-Khintchine Exponents With Poles Of Order Two, Guillaume Coqueret

Communications on Stochastic Analysis

No abstract provided.


A Converse Comparison Theorem For Discrete-Time Finite-State Bsdes And Risk Measures Using G-Expectation, Robert Elliott, Yin Lin, Hailiang Yang 2013 University of Calgary, Calgary, Canada

A Converse Comparison Theorem For Discrete-Time Finite-State Bsdes And Risk Measures Using G-Expectation, Robert Elliott, Yin Lin, Hailiang Yang

Communications on Stochastic Analysis

No abstract provided.


A Hull And White Formula For A Stochastic Volatility Lévy Model With Infinite Activity, Hossein Jafari, Josep Vives 2013 Louisiana State University

A Hull And White Formula For A Stochastic Volatility Lévy Model With Infinite Activity, Hossein Jafari, Josep Vives

Communications on Stochastic Analysis

No abstract provided.


Fluctuation Properties Of Compound Poisson-Erlang Lévy Processes, Richard B Paris, Vladimir Vinogradov 2013 Louisiana State University

Fluctuation Properties Of Compound Poisson-Erlang Lévy Processes, Richard B Paris, Vladimir Vinogradov

Communications on Stochastic Analysis

No abstract provided.


Asymptotic Spectral Distributions Of Distance-K Graphs Of Hamming Graphs, Yuji Hibino 2013 Louisiana State University

Asymptotic Spectral Distributions Of Distance-K Graphs Of Hamming Graphs, Yuji Hibino

Communications on Stochastic Analysis

No abstract provided.


Dynamics Of The Fitzhugh-Nagumo Neuron Model, Zechariah Thurman 2013 California Polytechnic State University - San Luis Obispo

Dynamics Of The Fitzhugh-Nagumo Neuron Model, Zechariah Thurman

Physics

In this paper, the dynamical behavior of the Fitzhugh-Nagumo model is examined. The relationship between neuron input current and the firing frequency of the neuron is characterized. Various coupling schemes are also examined, and their effects on the dynamics of the system is discussed. The phenomenon of stochastic resonance is studied for a single uncoupled Fitzhugh-Nagumo neuron.


Partially Gaussian Stationary Stochastic Processes In Discrete Time, K R Parthasarathy 2013 Louisiana State University

Partially Gaussian Stationary Stochastic Processes In Discrete Time, K R Parthasarathy

Communications on Stochastic Analysis

No abstract provided.


Linear Stochastic Differential Equations With Anticipating Initial Conditions, Narjess Khalifa, Hui-Hsiung Kuo, Habib Ouerdiane, Benedykt Szozda 2013 University of Tunis El Manar, Tunis, Tunisia

Linear Stochastic Differential Equations With Anticipating Initial Conditions, Narjess Khalifa, Hui-Hsiung Kuo, Habib Ouerdiane, Benedykt Szozda

Communications on Stochastic Analysis

No abstract provided.


Crra Utility Maximization Under Dynamic Risk Constraints, Santiago Moreno-Bromberg, Traian A Pirvu, Anthony Reveillac 2013 Universität Zürich, Zürich, Switzerland

Crra Utility Maximization Under Dynamic Risk Constraints, Santiago Moreno-Bromberg, Traian A Pirvu, Anthony Reveillac

Communications on Stochastic Analysis

No abstract provided.


Anticipated Backward Stochastic Differential Equations With Continuous Coefficients, Zhe Yang, Robert J Elliott 2013 Louisiana State University

Anticipated Backward Stochastic Differential Equations With Continuous Coefficients, Zhe Yang, Robert J Elliott

Communications on Stochastic Analysis

No abstract provided.


Asymptotic And Geometric Properties Of Compactly Perturbed Wiener Process And Self-Intersection Local Time, Andrey A Dorogovtsev, Olga L Izyumtseva 2013 Louisiana State University

Asymptotic And Geometric Properties Of Compactly Perturbed Wiener Process And Self-Intersection Local Time, Andrey A Dorogovtsev, Olga L Izyumtseva

Communications on Stochastic Analysis

No abstract provided.


Nonparametric Regression With Non-Gaussian Long Memory, Mariela Sued, Soledad Torres, Ciprian A. Tudor 2013 Universidad de Buenos Aires, Buenos Aires, Argentina

Nonparametric Regression With Non-Gaussian Long Memory, Mariela Sued, Soledad Torres, Ciprian A. Tudor

Communications on Stochastic Analysis

No abstract provided.


Tetrathiomolybdate-Associated Copper Depletion Decreases Circulating Endothelial Progenitor Cells In Women With Breast Cancer At High Risk Of Relapse, S. Jain, J. Cohen, M. M. Ward, N. Kornhauser, E. Chuang, T. Cigler, A. Moore, D. Donovan, C. Lam, M. V. Cobham, S. Schneider, Sandra M. Hurtado Rua, S. Benkert, C. Mathijsen Greenwood, R. Zelkowitz, J. D. Warren, M. E. Lane, V. Mittal, S. Rafii, L. T. Vahdat 2013 Weill Cornell Medical College

Tetrathiomolybdate-Associated Copper Depletion Decreases Circulating Endothelial Progenitor Cells In Women With Breast Cancer At High Risk Of Relapse, S. Jain, J. Cohen, M. M. Ward, N. Kornhauser, E. Chuang, T. Cigler, A. Moore, D. Donovan, C. Lam, M. V. Cobham, S. Schneider, Sandra M. Hurtado Rua, S. Benkert, C. Mathijsen Greenwood, R. Zelkowitz, J. D. Warren, M. E. Lane, V. Mittal, S. Rafii, L. T. Vahdat

Mathematics and Statistics Faculty Publications

Background: Bone marrow-derived endothelial progenitor cells (EPCs) are critical for metastatic progression. This study explores the effect of tetrathiomolybdate (TM), an anti-angiogenic copper chelator, on EPCs in patients at high risk for breast cancer recurrence. Patients and methods: This phase 2 study enrolled breast cancer patients with stage 3 and stage 4 without evidence of disease (NED), and stage 2 if triple-negative. TM 100 mg orally was administered to maintain ceruloplasmin <17 mg/dl for 2 years or until relapse. The primary end point was change in EPCs. Results: Forty patients (28 stage 2/3, 12 stage 4 NED) were enrolled. Seventy-five percent patients achieved the copper depletion target by 1 month. Ninety-one percent of triple-negative patients copper-depleted compared with 41% luminal subtypes. In copper-depleted patients only, there was a significant reduction in EPCs/ml by 27 (P = 0.04). Six patients relapsed while on study, of which only one patient had EPCs maintained below baseline. The 10-month relapse-free survival was 85.0% (95% CI 74.6%–96.8%). Only grade 3/4 toxicity was hematologic: neutropenia (3.1% of cycles), febrile neutropenia (0.2%), and anemia (0.2%). Conclusions: TM is safe and appears to maintain EPCs below baseline in copper-depleted patients. TM may promote tumor dormancy and ultimately prevent relapse.


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