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Oer Curve Fitting Applied To Easter Island Stone Foundations, Cynthia Huffman Ph.D. 2021 Pittsburg State University

Oer Curve Fitting Applied To Easter Island Stone Foundations, Cynthia Huffman Ph.D.

Faculty Submissions

In this activity, curve fitting is applied to drone pictures of ruins of stone foundations of the traditional houses (hare paenga) on the island of Rapa Nui. The free mathematics application GeoGebra (geogebra.org) is used, but the activity can be adapted to other technology, such as Desmos (desmos.com). The activity can be used as a teacher demonstration or completed by students, individually or in small groups, with access to computers.


On Leibniz Cohomology, Jorg Feldvoss, Friedrich Wagemann 2021 University of South Alabama

On Leibniz Cohomology, Jorg Feldvoss, Friedrich Wagemann

University Faculty and Staff Publications

In this paper we prove the Leibniz analogue of Whitehead's vanishing theorem for the Chevalley-Eilenberg cohomology of Lie algebras. As a consequence, we obtain the second Whitehead lemma for Leibniz algebras. Moreover, we compute the cohomology of several Leibniz algebras with ad joint or irreducible coefficients. Our main tool is a Leibniz analogue of the Hochschild-Serre spectral sequence, which is an extension of the dual of a spectral sequence of Pirashvili for Leibniz homology from symmetric bimodules to arbitrary bimodules.


The Encyclopedia Of Neutrosophic Researchers - 4th Volume (2021), Florentin Smarandache, Maykel Leyva-Vazquez 2021 University of New Mexico

The Encyclopedia Of Neutrosophic Researchers - 4th Volume (2021), Florentin Smarandache, Maykel Leyva-Vazquez

Branch Mathematics and Statistics Faculty and Staff Publications

Este es el cuarto volumen de la Enciclopedia de Investigadores Neutróficos, editados a partir de materiales ofrecidos por los autores que respondieron a la invitación del editor. Los autores se enumeran alfabéticamente. La introducción contiene una breve historia de la neutrosófica, y en especial se su impacto en Latinoamérica junto con enlaces a los principales artículos y libros. Los conjuntos neutrosóficos, la lógica neutrosófica, la probabilidad neutrosófica, la estadística neutrosófica, el precálculo neutrosófico, el cálculo neutrosófico, la psicología neutrosófica, la sociología neutrosófica etc., están ganando una atención significativa en resolver muchos problemas de la vida real que implican incertidumbre, imprecisión, …


Continuous-Time Controlled Branching Processes, Ines Garcia, George Yanev, Manuel Molina, Nikolay Yanev, Miguel Velasco 2021 University of Extremadura, Spain

Continuous-Time Controlled Branching Processes, Ines Garcia, George Yanev, Manuel Molina, Nikolay Yanev, Miguel Velasco

School of Mathematical & Statistical Sciences Faculty Publications

Controlled branching processes with continuous time are introduced and limiting distributions are obtained in the critical case. An extension of this class as regenerative controlled branching processes with continuous time is proposed and some asymptotic properties are considered.


Eigenvalues And Eigenfunctions Of A Schrödinger Operator Associated With A Finite Combination Of Dirac-Delta Functions And Ch Peakons, Shouzhong Fu, Zhijun Qiao, Zhong Wang 2021 The University of Texas Rio Grande Valley

Eigenvalues And Eigenfunctions Of A Schrödinger Operator Associated With A Finite Combination Of Dirac-Delta Functions And Ch Peakons, Shouzhong Fu, Zhijun Qiao, Zhong Wang

School of Mathematical & Statistical Sciences Faculty Publications

In this paper, we first study the Schrodinger operators with the following weighted function ___________, which is actually a finite linear combination of Dirac-Delta functions, and then discuss the same operator equipped with the same kind of potential function. With the aid of the boundary conditions, all possible eigenvalues and eigenfunctions of the self-adjoint Schrodinger operator are investigated. Furthermore, as a practical application, the spectrum distribution of such a Dirac-Delta type Schrodinger operator either weighted or potential is well applied to the remarkable integrable Camassa-Holm (CH) equation.


Correlation Between No-Slip And Slip Boundary Conditions Associated With A Two-Dimensional Navier-Stokes Flows In A Plane Diffuser, Ranis Ibragimov, Vesselin Vatchev 2021 Wenatchee Valley College

Correlation Between No-Slip And Slip Boundary Conditions Associated With A Two-Dimensional Navier-Stokes Flows In A Plane Diffuser, Ranis Ibragimov, Vesselin Vatchev

School of Mathematical & Statistical Sciences Faculty Publications

We examine the viscous effects of slip boundary conditions for the model describing two-dimensional Navier-Stokes flows in a plane diffuser. It is shown that the velocity profile is related to a half period shifted Weierstrass function with two parameters. This allows to approximate the explicit solution by a Taylor series expansion with two new micro- parameters, that can be measured in physical experiments. It is shown that the assumption for no-slip boundary conditions is stable in the sense that a small perturbation of the boundary values result in a small perturbation in the solutions.


Quantum Markov Maps: Structureand Asymptotics., Vijaya Kumar U. Dr. 2021 Indian Statistical Institute

Quantum Markov Maps: Structureand Asymptotics., Vijaya Kumar U. Dr.

Doctoral Theses

No abstract provided.


Essays In Social Choice Theory., Dipjyoti Majumdar Dr. 2021 Indian Statistical Institute

Essays In Social Choice Theory., Dipjyoti Majumdar Dr.

Doctoral Theses

The purpose of this thesis is to explore some issues in social choice theory and decision theory. Social choice theory provides the theoretical foundations for the field of public choice and welfare economics. It tries to bring together normative aspects like perspective value judgements and positive aspects, like strategic con- siderations. The second feature which is our focus, is closely related to the problem of providing appropriate incentives to agents, an issue of prime importance in eco- nomics.Consider for example, a set of agents who must elect one among a set of can- didates. These candidates may be physical agents …


Group Theory Visualized Through The Rubik's Cube, Ashlyn Okamoto 2021 Portland State University

Group Theory Visualized Through The Rubik's Cube, Ashlyn Okamoto

University Honors Theses

In my thesis, I describe the work done to implement several Group Theory concepts in the context of the Rubik’s cube. A simulation of the cube was constructed using Processing-Java and with help from a YouTube series done by TheCodingTrain. I reflect on the struggles and difficulties that came with creating this program along with the inspiration behind the project. The concepts that are currently implemented at this time are: Identity, Associativity, Order, and Inverses. The functionality of the cube is described as it moves like a regular cube but has extra keypresses that demonstrate the concepts listed. Each concept …


Beryllium-Specific Cd4+ T Cells Induced By Chemokine Neoantigens Perpetuate Inflammation, Michael T. Falta, Jeremy C. Crawford, Alex N. Tinega, Laurie G. Landry, Frances Crawford, Douglas G. Mack, Allison K. Martin, Shaikh M. Atif, Li Li, Radleigh Santos, Maki Nakayama, John W. Kappler, Lisa A. Maier, Paul G. Thomas, Clemencia Pinilla, Andrew Fontenot 2021 University of Colorado Anschutz Medical Campus

Beryllium-Specific Cd4+ T Cells Induced By Chemokine Neoantigens Perpetuate Inflammation, Michael T. Falta, Jeremy C. Crawford, Alex N. Tinega, Laurie G. Landry, Frances Crawford, Douglas G. Mack, Allison K. Martin, Shaikh M. Atif, Li Li, Radleigh Santos, Maki Nakayama, John W. Kappler, Lisa A. Maier, Paul G. Thomas, Clemencia Pinilla, Andrew Fontenot

Mathematics Faculty Articles

Discovering dominant epitopes for T cells, particularly CD4+ T cells, in human immune-mediated diseases remains a significant challenge. Here, we used bronchoalveolar lavage (BAL) cells from HLA-DP2-expressing patients with chronic beryllium disease (CBD), a debilitating granulomatous lung disorder characterized by accumulations of beryllium (Be)-specific CD4+ T cells in the lung. We discovered lung resident CD4+ T cells that expressed a disease-specific public CDR3β T cell receptor motif and were specific to Be-modified self-peptides derived from C-C motif ligands 4 (CCL4) and 3 (CCL3). HLA-DP2-CCL/Be tetramer staining confirmed that these chemokine-derived peptides represented major antigenic targets in CBD. …


Local Well-Posedness And Blow-Up For A Family Of U(1)-Invariant Peakon Equations, Stephen C. Anco, Huijun He, Zhijun Qiao 2021 The University of Texas Rio Grande Valley

Local Well-Posedness And Blow-Up For A Family Of U(1)-Invariant Peakon Equations, Stephen C. Anco, Huijun He, Zhijun Qiao

School of Mathematical & Statistical Sciences Faculty Publications

The Cauchy problem for a unified family of integrable U(1)-invariant peakon equations from the NLS hierarchy is studied. As main results, local well-posedness is proved in Besov spaces, and blow-up is established through use of an L 1 conservation law.


Positive Solutions For A Class Of Elliptic Equations, Xiyou Cheng, Zhaosheng Feng, Lei Wei 2021 The University of Texas Rio Grande Valley

Positive Solutions For A Class Of Elliptic Equations, Xiyou Cheng, Zhaosheng Feng, Lei Wei

School of Mathematical & Statistical Sciences Faculty Publications

This paper is concerned with a class of semilinear elliptic equations with a potential function−Δu=λ|x|−αu−|x|σupinΩ∖{0},where λ,σ∈R, α>0, p>1, and Ω⊂RN (N≥3) is a bounded smooth domain with 0∈Ω. We establish the existence, nonexistence and asymptotic behavior of positive solutions when the potential function |x|−α has strong singularity at the origin. When the potential function |x|−α has weak singularity at the origin, we obtain some qualitative properties of positive solutions.


Frege’S Theory Of Real Numbers: A Consistent Rendering, Francesca Boccuni, Marco Panza 2021 Vita-Salute San Raffaele University

Frege’S Theory Of Real Numbers: A Consistent Rendering, Francesca Boccuni, Marco Panza

Mathematics, Physics, and Computer Science Faculty Articles and Research

Frege’s definition of the real numbers, as envisaged in the second volume of Grundgesetze der Arithmetik, is fatally flawed by the inconsistency of Frege’s ill-fated Basic Law V. We restate Frege’s definition in a consistent logical framework and investigate whether it can provide a logical foundation of real analysis. Our conclusion will deem it doubtful that such a foundation along the lines of Frege’s own indications is possible at all.


First Exit-Time Analysis For An Approximate Barndorff-Nielsen And Shephard Model With Stationary Self-Decomposable Variance Process, Shantanu Awasthi, Indranil SenGupta 2021 North Dakota State University, Fargo, North Dakota 58108-6050, USA

First Exit-Time Analysis For An Approximate Barndorff-Nielsen And Shephard Model With Stationary Self-Decomposable Variance Process, Shantanu Awasthi, Indranil Sengupta

Journal of Stochastic Analysis

No abstract provided.


Nilpotent Graph, Dhiren Kumar Basnet, Ajay Sharma, Rahul Dutta 2021 Tezpur University, India

Nilpotent Graph, Dhiren Kumar Basnet, Ajay Sharma, Rahul Dutta

Theory & Applications of Graphs

In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertices are adjacent if and only if their sum is nilpotent. We discuss some graph theoretic properties of nilpotent graph.


Securing Anonymous Authenticated Announcement Protocol For Group Signature In Internet Of Vehicle, Nur Afiqah Suzelan Amir 2021 Universiti Malaya

Securing Anonymous Authenticated Announcement Protocol For Group Signature In Internet Of Vehicle, Nur Afiqah Suzelan Amir

Student Works (2020-2029)

The past decade has witnessed a growing interest in vehicular networking and its vast array of potential applications. Improved wireless internet connectivity from vehicles has prompted road safety technologies to emerge. Announcement protocol in Internet of Vehicles (IoV) is an intelligent application to improve road safety, relieve traffic congestion and enhance the comfort of transportation. IoV has drawn extensive attention to provide more enjoyable and safer driving environment. It requires communication between vehicles, roadside units and pedestrian to disseminate safety related messages. Vehicular cloud (VC) computing can guarantee reliable and timely broadcast of safety messages. The integration of IoV and …


A Quiver Variety Approach To Root Multiplicities, Peter Tingley 2021 Loyola University Chicago

A Quiver Variety Approach To Root Multiplicities, Peter Tingley

Mathematics and Statistics: Faculty Publications and Other Works

We present combinatorial upper bounds on dimensions of certain imaginary root spaces for symmetric Kac–Moody algebras. These come from the realization of the corresponding infinity-crystal using quiver varieties. The framework is general, but we only work out specifics in rank two. In that case we give explicit bounds. These turn out to be quite accurate, and in many cases exact, even for some fairly large roots.


Ground Snow Loads For Asce 7-22 – What Has Changed And Why?, Marc Maguire, Brennan L. Bean, James Harris, Abbie Liel, Scott Russell 2021 Utah State University

Ground Snow Loads For Asce 7-22 – What Has Changed And Why?, Marc Maguire, Brennan L. Bean, James Harris, Abbie Liel, Scott Russell

Mathematics and Statistics Faculty Publications

The changes to the ASCE 7 ground snow load maps proposed for the 2022 edition target a uniform reliability rather than a uniform hazard – an important distinction – and are the first of their kind in ASCE 7. Previously, the ASCE 7 snow loads used a uniform-hazard 50-year mean recurrence interval (MRI) with a 1.6 load factor. The newly proposed loads directly target the safety levels stipulated in Chapter 1 of ASCE 7, resulting in a strength design level load that is to be used with a load factor of 1.0. This paper describes changes in design provisions that …


Influence Of Covid-19 On The Psychological Wellbeing Of Tertiary Institution Students In Nigeria, Seun Akorede, Ayodotun Ajayi, Atanda Toyin, Gilbert Uwadia 2021 University of Dar es Salaam

Influence Of Covid-19 On The Psychological Wellbeing Of Tertiary Institution Students In Nigeria, Seun Akorede, Ayodotun Ajayi, Atanda Toyin, Gilbert Uwadia

Tanzania Journal of Science

The outbreak of COVID-19 has led to a global lockdown, pending the time medical researchers find a vaccine for the coronavirus. This study examined if loneliness, depression and stress are influences of COVID-19 on the psychological wellbeing of tertiary institutions students in Nigeria. A descriptive research design of survey type was employed for this study. The population comprised all students of tertiary institutions in Nigeria totaling about 4,406,000. One hundred and thirty-seven (137) respondents were sampled for the study. A validated researcher developed questionnaire tested for reliability was used for the study. The data collected were analyzed using descriptive statistics. …


Modelling Road Traffic Accidents Counts In Tanzania: A Poisson Regression Approach, Thadei Sagamiko, Nyimvua Mbare 2021 Department of Mathematics, University of Dar es Salaam, P.O. Box 35062, Dar es Salaam, Tanzania.

Modelling Road Traffic Accidents Counts In Tanzania: A Poisson Regression Approach, Thadei Sagamiko, Nyimvua Mbare

Tanzania Journal of Science

Road traffic accidents have become serious threats to Tanzanians in recent years. The outcryemanates from the increasing prevalence of negative effects of accidents on human lives,properties, environments and the economy. Poisson regression model was used to study therelationship between road accidents and the factors facilitating them in Tanzania. Count data onyearly road traffic accidents for Tanzania covering the period 1993 to 2019 were used. Due toover-dispersion of Poisson regression model, quasi-Poisson regression model was found the mostappropriate approach for the analysis of these data. Results indicated that all predictors aresignificant under Poisson regression model with p-value less than 0.05 but …


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