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On Revelation Transforms That Characterize Probability Distributions, Stefanka Chukova, Boyan N. Dimitrov, Jean Pierre Dion 2019 Victoria University of Wellington

On Revelation Transforms That Characterize Probability Distributions, Stefanka Chukova, Boyan N. Dimitrov, Jean Pierre Dion

Boyan Dimitrov

A characterization of exponential, geometric and of distributions with almost-lack-of-memory property, based on the revelation transform of probability distributions and relevation of random variables is discussed. Known characterizations of the exponential distribution on the base of relevation transforms given by Grosswald et al. [4], and Lau and Rao [7] are obtained under weakened conditions and the proofs are simplified. A characterization the class of almost-lack-of-memory distributions through the relevation is specified.


Measuring Dependence In Uncertainty Should Start In The Introduction To Probability And Statistics, Boyan N. Dimitrov 2019 Kettering University

Measuring Dependence In Uncertainty Should Start In The Introduction To Probability And Statistics, Boyan N. Dimitrov

Boyan Dimitrov

No abstract provided.


Local Dependence Structure Of The Bivariate Normal Distribution, Boyan N. Dimitrov, Kreg Deachin 2019 Kettering University

Local Dependence Structure Of The Bivariate Normal Distribution, Boyan N. Dimitrov, Kreg Deachin

Boyan Dimitrov

In several previous publications we developed an idea how probability tools can be used to measure strength of dependence between random events. In this talk we use it for measuring magnitude of local dependence inside the normally distributed random variables, using the regression coefficients in case of random events. Short illustrations (graphics and tables) are showing the use of these measures in already known popular Bivariate Normal distribution with different correlation values.


In Memoriam : Elart Von Collan, Boyan N. Dimitrov 2019 Kettering University

In Memoriam : Elart Von Collan, Boyan N. Dimitrov

Boyan Dimitrov

No abstract provided.


L^{\Infty}-Estimates Of The Solution Of The Navier-Stokes Equations For Periodic Initial Data, Santosh Pathak 2019 University of New Mexico - Main Campus

L^{\Infty}-Estimates Of The Solution Of The Navier-Stokes Equations For Periodic Initial Data, Santosh Pathak

Mathematics & Statistics ETDs

In this doctoral dissertation, we consider the Cauchy problem for the 3D incompressible Navier-Stokes equations. Here, we are interested in a smooth periodic solution of the problem which happens to be a special case of a paper by Otto Kreiss and Jens Lorenz. More precisely, we will look into a special case of their paper by two approaches. In the first approach, we will try to follow the similar techniques as in the original paper for smooth periodic solution. Because of the involvement of the Fourier expansion in the process, we encounter with some intriguing factors in the periodic case ...


Non-Sparse Companion Matrices, Louis Deaett, Jonathan Fischer, Colin Garnett, Kevin N. Vander Meulen 2019 Redeemer University College

Non-Sparse Companion Matrices, Louis Deaett, Jonathan Fischer, Colin Garnett, Kevin N. Vander Meulen

Electronic Journal of Linear Algebra

Given a polynomial $p(z)$, a companion matrix can be thought of as a simple template for placing the coefficients of $p(z)$ in a matrix such that the characteristic polynomial is $p(z)$. The Frobenius companion and the more recently-discovered Fiedler companion matrices are examples. Both the Frobenius and Fiedler companion matrices have the maximum possible number of zero entries, and in that sense are sparse. In this paper, companion matrices are explored that are not sparse. Some constructions of non-sparse companion matrices are provided, and properties that all companion matrices must exhibit are given. For example, it is ...


Krylov Subspace Spectral Methods With Non-Homogenous Boundary Conditions, Abbie Hendley 2019 The University of Southern Mississippi

Krylov Subspace Spectral Methods With Non-Homogenous Boundary Conditions, Abbie Hendley

Master's Theses

For this thesis, Krylov Subspace Spectral (KSS) methods, developed by Dr. James Lambers, will be used to solve a one-dimensional, heat equation with non-homogenous boundary conditions. While current methods such as Finite Difference are able to carry out these computations efficiently, their accuracy and scalability can be improved. We will solve the heat equation in one-dimension with two cases to observe the behaviors of the errors using KSS methods. The first case will implement KSS methods with trigonometric initial conditions, then another case where the initial conditions are polynomial functions. We will also look at both the time-independent and time-dependent ...


Long-Dose Intensive Therapy Is Necessary For Strong, Clinically Significant, Upper Limb Functional Gains And Retained Gains In Severe/Moderate Chronic Stroke, Janis J. Daly, Jessica P. McCabe, John P. Holcomb, Michelle Monkiewicz, Jennifer Gansen, Svetlana Pundik 2019 Malcom Randall Gainesville DVA Medical Center

Long-Dose Intensive Therapy Is Necessary For Strong, Clinically Significant, Upper Limb Functional Gains And Retained Gains In Severe/Moderate Chronic Stroke, Janis J. Daly, Jessica P. Mccabe, John P. Holcomb, Michelle Monkiewicz, Jennifer Gansen, Svetlana Pundik

Mathematics Faculty Publications

Background. Effective treatment methods are needed for moderate/severely impairment chronic stroke. Objective. The questions were the following: (1) Is there need for long-dose therapy or is there a mid-treatment plateau? (2) Are the observed gains from the prior-studied protocol retained after treatment? Methods. Single-blind, stratified/randomized design, with 3 applied technology treatment groups, combined with motor learning, for long-duration treatment (300 hours of treatment). Measures were Arm Motor Ability Test time and coordination-function (AMAT-T, AMAT-F, respectively), acquired pre-/posttreatment and 3-month follow-up (3moF/U); Fugl-Meyer (FM), acquired similarly with addition of mid-treatment. Findings. There was no group difference in ...


Euler’S Calculation Of The Sum Of The Reciprocals Of Squares, Kenneth M. Monks 2019 Ursinus College

Euler’S Calculation Of The Sum Of The Reciprocals Of Squares, Kenneth M. Monks

Calculus

No abstract provided.


Active Prelude To Calculus, Matthew Boelkins 2019 Grand Valley State University

Active Prelude To Calculus, Matthew Boelkins

Open Textbooks

Active Prelude to Calculus is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus. This text is written in the spirit of Active Calculus and is especially ideal for students who will eventually study calculus from that text. The reader will find that ...


Algebraic Topics In The Classroom – Gauss And Beyond, Lisa Krance 2019 John Carroll University

Algebraic Topics In The Classroom – Gauss And Beyond, Lisa Krance

Masters Essays

No abstract provided.


Introduction Of Infinite Series In High School Level Calculus, Ericka Bella 2019 John Carroll University

Introduction Of Infinite Series In High School Level Calculus, Ericka Bella

Masters Essays

No abstract provided.


Development Of A Karst Tourism Management Index To Assess Tourism-Driven Degradation Of Protected Karst Sites, Keith R. Semler 2019 Western Kentucky University

Development Of A Karst Tourism Management Index To Assess Tourism-Driven Degradation Of Protected Karst Sites, Keith R. Semler

Masters Theses & Specialist Projects

The intent of this research was to create and evaluate a karst tourism management index (KTMI). This index is intended to be a new management tool designed to quantify environmental disturbances caused specifically by tourism activities in karst regions, particularly show caves and springs. In an effort to assess the effectiveness of the index as a management tool in karst terrains, after development, the index was applied to six case study sites. A review of the management policies at each study site was conducted with the use of standard policy critique methods and semistructured interviews with managers at the study ...


Properties Of Functionally Alexandroff Topologies And Their Lattice, Jacob Scott Menix 2019 Western Kentucky University

Properties Of Functionally Alexandroff Topologies And Their Lattice, Jacob Scott Menix

Masters Theses & Specialist Projects

This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when considering the collection of such topologies on some set X. We present several theorems about the properties of these topologies as well as their partially ordered set.

The first chapter introduces functionally Alexandroff topologies and motivates why this work is of interest to topologists. This chapter explains the historical context of this relatively new type of topology and how this work relates to previous work in topology. Chapter 2 presents several theorems describing properties of functionally Alexandroff topologies ad presents a characterization for the functionally Alexandroff topologies ...


Copula-Based Zero-Inflated Count Time Series Models, Mohammed Sulaiman Alqawba 2019 Old Dominion University

Copula-Based Zero-Inflated Count Time Series Models, Mohammed Sulaiman Alqawba

Mathematics & Statistics Theses & Dissertations

Count time series data are observed in several applied disciplines such as in environmental science, biostatistics, economics, public health, and finance. In some cases, a specific count, say zero, may occur more often than usual. Additionally, serial dependence might be found among these counts if they are recorded over time. Overlooking the frequent occurrence of zeros and the serial dependence could lead to false inference. In this dissertation, we propose two classes of copula-based time series models for zero-inflated counts with the presence of covariates. Zero-inflated Poisson (ZIP), zero-inflated negative binomial (ZINB), and zero-inflated Conway-Maxwell-Poisson (ZICMP) distributed marginals of the ...


List-Distinguishing Cartesian Products Of Cliques, Michael Ferrara, Zoltan Füredi, Sogol Jahanbekam, Paul Wenger 2019 University of Colorado, Denver

List-Distinguishing Cartesian Products Of Cliques, Michael Ferrara, Zoltan Füredi, Sogol Jahanbekam, Paul Wenger

Sogol Jahanbekam

The distinguishing number of a graph G, denoted D(G), is the minimum number of colors needed to produce a coloring of the vertices of G so that every nontrivial isomorphism interchanges vertices of different colors. A list assignment L on a graph G is a function that assigns each vertex of G a set of colors. An L-coloring of G is a coloring in which each vertex is colored with a color from L(v). The list distinguishing number of G, denoted Dℓ(G) is the minimum k such that every list assignment L that assigns a list ...


Localization Theory In An Infinity Topos, Marco Vergura 2019 The University of Western Ontario

Localization Theory In An Infinity Topos, Marco Vergura

Electronic Thesis and Dissertation Repository

We develop the theory of reflective subfibrations on an ∞-topos E. A reflective subfibration L on E is a pullback-compatible assignment of a reflective subcategory D_X ⊆ E/X with associated localization functor L_X, for every X in E. Reflective subfibrations abound in homotopy theory, albeit often disguised, e.g., as stable factorization systems. The added properties of a reflective subfibration L on E compared to a mere reflective subcategory of E are crucial for most of our results. For example, we can prove that L-local maps (i.e., those maps p in D_X for some X in E) admit a ...


Two Games Displayed By Butler’S 2017 Celebration Of Mind, Jeremiah Farrell 2019 Butler University

Two Games Displayed By Butler’S 2017 Celebration Of Mind, Jeremiah Farrell

Jeremiah Farrell

Jeremiah's two games displayed by Butler's 2017 Celebration of Mind.


Flying Saucer, Jeremiah Farrell, Karen Farrell 2019 Butler University

Flying Saucer, Jeremiah Farrell, Karen Farrell

Jeremiah Farrell

Jeremiah's puzzle "Flying Saucer", which was exchanged at the 2013 International Puzzle Party in Washington, DC. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is also manufactured by Walter Hoppe as "Flying Saucer".


Continuation Of Polyanalytic Functions, T. Ishankulov, G. Norqulova 2019 Samarkand State University

Continuation Of Polyanalytic Functions, T. Ishankulov, G. Norqulova

Scientific Journal of Samarkand University

We consider the problem of continuation the � − analytic function in to a domain by values of its sequential derivatives up to the (� − 1) -th order on a part of the boundary. The problem of inversion of a Cauchy type integral to a Cauchy integral for such functions is also considered.


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