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Services Sector And Non-Balanced Growth., Anuradha Saha Dr. 2015 Indian Statistical Institute

Services Sector And Non-Balanced Growth., Anuradha Saha Dr.

Doctoral Theses

No abstract provided.


A Critical Proton Mr Spectroscopy Marker Of Alzheimer Early Neurodegenerative Change: Low Hippocampal Naa/Cr Ratio Impacts Apoe 4 Mexico City Children And Their Parents., Partha S. Mukherjee 2015 Boise State University

A Critical Proton Mr Spectroscopy Marker Of Alzheimer Early Neurodegenerative Change: Low Hippocampal Naa/Cr Ratio Impacts Apoe 4 Mexico City Children And Their Parents., Partha S. Mukherjee

Mathematics Faculty Publications and Presentations

Severe air pollution exposures produce systemic, respiratory, myocardial, and brain inflammation and Alzheimer’s disease (AD) hallmarks in clinically healthy children. We tested whether hippocampal metabolite ratios are associated with contrasting levels of air pollution, APOE and BMI in paired healthy children and one parent sharing the same APOE alleles. We used (1) H-MRS to interrogate bilateral hippocampal single-voxel in 57 children (12.45± 3.4 years) and their 48 parents (37.5± 6.78 years) low pollution city v Mexico City (MC). NAA/Cr, Cho/Cr, and mI/Cr metabolite ratios were analysed. The right hippocampus N-acetylaspartate/creatine (NAA/Cr) was significantly different between cohorts (p=0.007). The NAA/Cr ratio …


Regularity Of Mean Curvature Flow Of Graphs On Lie Groups Free Up To Step 2, Luca Capogna, Giovanna Citti, Maria Manfredini 2015 Worcester Polytechnic Institute

Regularity Of Mean Curvature Flow Of Graphs On Lie Groups Free Up To Step 2, Luca Capogna, Giovanna Citti, Maria Manfredini

Mathematics Sciences: Faculty Publications

We consider (smooth) solutions of the mean curvature flow of graphs over bounded domains in a Lie group free up to step two (and not necessarily nilpotent), endowed with a one parameter family of Riemannian metrics σ ε collapsing to a subRiemannian metric σ0 as ε → 0. We establish Ckα estimates for this flow, that are uniform as ε → 0 and as a consequence prove long time existence for the subRiemannian mean curvature flow of the graph. Our proof extend to the setting of every step two Carnot group (not necessarily free) and can be adapted following …


Essays In Political Economy And Voting., Mihir Bhattacharya Dr. 2015 Indian Statistical Institute

Essays In Political Economy And Voting., Mihir Bhattacharya Dr.

Doctoral Theses

This thesis comprises three chapters on issues in political economy and voting. The first chapter considers a multilevel multidimensional aggregation problem in voting. The second chapter considers a model of party formation where citizens propose links to other candidates. The final chapter considers a model of electoral competition between regional and national parties.We provide a brief description of each chapter below. 1.1 Multilevel Multidimensional Consistent AggregatorsIn this chapter we study gerrymander-proof or consistent aggregation rules in different contexts. There are several papers that have studied the structure of consistent voting rules satisfying various versions of consistency. Virtually all these papers …


Spiral Unfoldings Of Convex Polyhedra, Joseph O'Rourke 2015 Smith College

Spiral Unfoldings Of Convex Polyhedra, Joseph O'Rourke

Computer Science: Faculty Publications

The notion of a spiral unfolding of a convex polyhedron, resulting by flattening a special type of Hamiltonian cut-path, is explored. The Platonic and Archimedian solids all have nonoverlapping spiral unfoldings, although among generic polyhedra, overlap is more the rule than the exception. The structure of spiral unfoldings is investigated, primarily by analyzing one particular class, the polyhedra of revolution.


Manzanar Murakami As Radical Mathematician, Logan Bishop-Van Horn 2015 Clark University

Manzanar Murakami As Radical Mathematician, Logan Bishop-Van Horn

Scholarly Undergraduate Research Journal at Clark (SURJ)

In Karen Tei Yamashita’s Tropic of Orange, characters attempt to make meaning of the many complex structures in which they are situated. In his unique meaning-making process, Manzanar Murakami, a homeless Sansei, “conducts” the Los Angeles traffic with a silver baton from atop a highway overpass. In conducting his music, Murakami per- forms complex mathematics, finding meaning in connection by mapping the rhythmic flow of humans, machines, and goods. Through his baton, to the sounds of a beautiful orchestra, he translates precisely the relationships he sees before him. Murakami’s music and Yamashita’s fantastic images constitute a “mathematical realism,” a lens …


Using Nitrate, Chloride, Sodium, And Sulfate To Calculate Groundwater Age, Kimm Crawford, Terry Lee 2015 Crawford Environmental Services

Using Nitrate, Chloride, Sodium, And Sulfate To Calculate Groundwater Age, Kimm Crawford, Terry Lee

Sinkhole Conference 2015

Regression analysis is used to identify monotonic trends to assign water age using ion data from two large well water databases from southeast Minnesota (SE MN). Nitrate (NO3-N), chloride (Cl), sodium (Na), and sulfate (SO4) ions in the commonly used aquifers in SE MN can be used as groundwater tracers since they are either entirely or partly anthropogenic in their sources, their loading occurs on a regional scale, and they are almost entirely conserved. Ion concentrations over time are used to establish six trend patterns. Two patterns are unchanging (background and stable above background), and four are changing (linear up, …


Subexponential Solutions Of Linear Volterra Difference Equations, Martin Bohner, Nasrin Sultana 2015 Missouri University of Science and Technology

Subexponential Solutions Of Linear Volterra Difference Equations, Martin Bohner, Nasrin Sultana

Mathematics and Statistics Faculty Research & Creative Works

We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.


Supporting Teachers’ Learning About Mathematical Modeling, June L. Gastón, Barbara A. Lawrence 2015 CUNY Borough of Manhattan Community College

Supporting Teachers’ Learning About Mathematical Modeling, June L. Gastón, Barbara A. Lawrence

Publications and Research

In the United States, one of the Standards for Mathematical Practice of the Common Core Curriculum (Common Core State Standards Initiative, 2010) is Model with mathematics. This standard requires that students be taught in a manner that will enable them to ―apply the mathematics they know to solve problems arising in everyday life, society, and the workplace‖ (p. 7). However many prospective and practicing teachers acquire a pedagogical style that does not support this standard. To promote higher levels of student thinking associated with mathematical modeling, teachers must thus be taught not only what mathematical modeling is, but how it …


A Fast Algorithm For Simulating Multiphase Flows Through Periodic Geometries Of Arbitrary Shape, Gary R. Marple, Alex Barnett, Adrianna Gillman, Shravan Veerapaneni 2015 University of Michigan-Ann Arbor

A Fast Algorithm For Simulating Multiphase Flows Through Periodic Geometries Of Arbitrary Shape, Gary R. Marple, Alex Barnett, Adrianna Gillman, Shravan Veerapaneni

Dartmouth Scholarship

This paper presents a new boundary integral equation (BIE) method for simulating particulate and mul- tiphase flows through periodic channels of arbitrary smooth shape in two dimensions. The authors consider a particular system—multiple vesicles suspended in a periodic channel of arbitrary shape—to describe the numerical method and test its performance. Rather than relying on the periodic Green’s function as classical BIE methods do, the method combines the free-space Green’s function with a small auxiliary basis, and imposes periodicity as an extra linear condition. As a result, we can exploit existing free-space solver libraries, quadratures, and fast algorithms, and handle a …


Free Energies And Minimal States For Scalar Linear Viscoelasticity, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden 2015 University of Pisa

Free Energies And Minimal States For Scalar Linear Viscoelasticity, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden

Articles

The concept of a minimal state was introduced in recent decades, based on earlier work by Noll. The property that a given quantity is a functional of the minimal state is of central interest in the present work. Using a standard representation of a free energy associated with a linear memory constitutive relation, a new condition, involving linear functionals, is derived which, if satisfied, ensures that the free energy is a functional of the minimal state. Using this result and recent work on constructing free energy functionals, it is shown that if the kernel of the rate of dissipation functional …


Hartogs-Type Extension For Tube-Like Domains In C², Al Boggess, Roman Dwilewicz, Zbigniew Slodkowski 2015 Missouri University of Science and Technology

Hartogs-Type Extension For Tube-Like Domains In C², Al Boggess, Roman Dwilewicz, Zbigniew Slodkowski

Mathematics and Statistics Faculty Research & Creative Works

In this paper we consider the Hartogs-type extension problem for unbounded domains in C2. An easy necessary condition for a domain to be of Hartogs-type is that there is not a closed (in C2) complex variety of codimension one in the domain which is given by a holomorphic function smooth up to the boundary. The question is, how far this necessary condition is from the sufficient one? To show how complicated this question is, we give a class of tube-like domains which contain a complex line in the boundary which are either of Hartogs-type or not, …


Contribution And Citation Impact Of Panjab University In Mathematics Research During 2005-14, Madhu Bansal, Jivesh Bansal, Harinder Singh Saini, B M. Gupta 2015 Panjab University

Contribution And Citation Impact Of Panjab University In Mathematics Research During 2005-14, Madhu Bansal, Jivesh Bansal, Harinder Singh Saini, B M. Gupta

Library Philosophy and Practice (e-journal)

This paper analyzes 230 research publications of the Panjab University in mathematics during ten years (2005-14), as covered in Scopus International database. The study quantifies publication data in various aspects of performance, such as the publication growth, research impact and quality, national and international collaboration, contribution and impact of authors, major areas of research, preferred channels of research communications and characteristics of higher cited papers. The findings reveal that Panjab University total publications in mathematics has increased at an annual average growth rate of 17.15% and registered an average citation impact per paper of 2.92 and impact factor per paper …


Learning From Lionfish: Modeling Marine Invaded Systems, Matthew Johnston 2015 Nova Southeastern University

Learning From Lionfish: Modeling Marine Invaded Systems, Matthew Johnston

Mathematics Colloquium Series

Simulating marine invaded systems requires broad consideration of physical oceanographic processes, such as ocean circulation patterns and temperature, and biological traits of the invader, such as their reproductive strategy and tolerances to their environment. Through this understanding of baseline biological and oceanographic function, models can be developed in order to forecast the incursion patterns of marine invasive species - helpful both to predict their spread as well as forewarn of impacts. To facilitate this understanding, computer simulation is useful in order to quickly and efficiently assimilate large biological and oceanographic datasets into digestible products. Data derived from such simulations are …


Augmented Happy Functions Of Higher Powers, Marcus Harbol, Breeanne B. Swart 2015 The Citadel, Charleston, SC

Augmented Happy Functions Of Higher Powers, Marcus Harbol, Breeanne B. Swart

Journal of the South Carolina Academy of Science

No abstract provided.


How To Explain The Empirical Success Of Generalized Trigonometric Functions In Processing Discontinuous Signals, Pedro Barragan Olague, Vladik Kreinovich 2015 The University of Texas at El Paso

How To Explain The Empirical Success Of Generalized Trigonometric Functions In Processing Discontinuous Signals, Pedro Barragan Olague, Vladik Kreinovich

Departmental Technical Reports (CS)

Trigonometric functions form the basis of Fourier analysis - one of the main signal processing tools. However, while they are very efficient in describing smooth signals, they do not work well for signals that contain discontinuities - such as signals describing phase transitions, earthquakes, etc. It turns out that empirically, one of the most efficient ways of describing and processing such signals is to use a certain generalization of trigonometric functions. In this paper, we provide a theoretical explanation of why this particular generalization is the most empirically efficient one.


On Montel And Montel–Popoviciu Theorems In Several Variables, Asuman Güven Aksoy, Jose M. Almira 2015 Claremont McKenna College

On Montel And Montel–Popoviciu Theorems In Several Variables, Asuman Güven Aksoy, Jose M. Almira

CMC Faculty Publications and Research

We present an elementary proof of a general version of Montel’s theorem in several variables which is based on the use of tensor product polynomial interpolation. We also prove a Montel-Popoviciu’s type theorem for functions f:Rd→Rf:Rd→R for d > 1. Furthermore, our proof of this result is also valid for the case d = 1, differing in several points from Popoviciu’s original proof. Finally, we demonstrate that our results are optimal.


How To Make Sure That Everyone Works Towards A Common Goal: Towards Optimal Incentives, Christian Servin, Vladik Kreinovich 2015 El Paso Community College

How To Make Sure That Everyone Works Towards A Common Goal: Towards Optimal Incentives, Christian Servin, Vladik Kreinovich

Departmental Technical Reports (CS)

No abstract provided.


A Possible Utility-Based Explanation Of Deaton's Paradox (And Habits Of Mind), Hung T. Nguyen, Songsak Sriboonchitta, Olga Kosheleva, Vladik Kreinovich 2015 New Mexico State University - Main Campus

A Possible Utility-Based Explanation Of Deaton's Paradox (And Habits Of Mind), Hung T. Nguyen, Songsak Sriboonchitta, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

No abstract provided.


Oscillating Exam Averages And Their Control-Theory Explanation, Olga Kosheleva, Vladik Kreinovich 2015 The University of Texas at El Paso

Oscillating Exam Averages And Their Control-Theory Explanation, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

When a student misses one of the exams, his overall grade for the class is often interpolated based on his available grades. This would have been a fair procedure if the grades for different tests were equally distributed. In practice, often, the average grades for different tests are oscillating. As a result, the usual interpolation techniques may inadvertently bias the student grade for the class. In this paper, we explain this oscillation, and analyze how to avoid the corresponding bias.


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