Essays In The Economics Of Environmental Policy.,
2012
Indian Statistical Institute
Essays In The Economics Of Environmental Policy., Ashokankur Datta Dr.
Doctoral Theses
It is increasingly being accepted that the planet we live in is unable to fulfill the enormous resource demands that mankind places on it. As a result the environment we live in has undergone rapid changes in the last two centuries - changes that adversely affects human life. Long ago Thomas Malthus and more recently the Club of Rome researchers warned that rapid economic and population growth were going to be unsustainable as they are going to create an acute shortage of food and vital metals like mercury. Their predictions never passed the test of time (Sterner, 2003). However their …
Multiple Solutions Of The Quasi Relativistic Choquard Equation,
2012
Universite de Ouagadougou
Multiple Solutions Of The Quasi Relativistic Choquard Equation, Michael Melgaard, Frederic D. Y. Zongo
Articles
We prove existence of multiple solutions to the quasi relativistic Choquard equations with a scalar potential.
Hadamard Renormalisation Of The Stress Energy Tensor On The Horizons Of A Spherically Symmetric Black Hole Space-Time,
2012
Technological University Dublin
Hadamard Renormalisation Of The Stress Energy Tensor On The Horizons Of A Spherically Symmetric Black Hole Space-Time, Cormac Breen, Adrian Ottewill
Articles
We consider a quantum field which is in a Hartle-Hawking state propagating in a general spherically symmetric black hole space-time. We make use of uniform approximations to the radial equation to calculate the components of the stress tensor, renormalized using the Hadamard form of the Green's function, on the horizons of this space-time. We then specialize these results to the case of the `lukewarm' Reissner-Nordstrom-de Sitter black hole and derive some conditions on the stress tensor for the regularity of the Hartle-Hawking state
On FoxʼS M-Dimensional Category And Theorems Of Bochner Type,
2012
Cleveland State University
On FoxʼS M-Dimensional Category And Theorems Of Bochner Type, John Oprea, Jeff Strom
Mathematics and Statistics Faculty Publications
We show that cat M (X)=Cat (jm),where cat m(X) is Fox’s m-dimensional category, jm:X→X [m] is the mth Postnikov section of X and cat (X) is the Lusternik–Schnirelmann category of X. This characterization is used to give new “Bochner-type” bounds on the rank of the Gottlieb group and the first Betti number for manifolds of non-negative Ricci curvature. Finally, we apply these methods to obtain Bochner-type theorems for manifolds of almost non-negative sectional curvature.
Combinatorics Using Computational Methods,
2012
University of Nebraska-Lincoln
Combinatorics Using Computational Methods, Derrick Stolee
Department of Mathematics: Dissertations, Theses, and Student Research
Computational combinatorics involves combining pure mathematics, algorithms, and computational resources to solve problems in pure combinatorics. This thesis provides a theoretical framework for combinatorial search, which is then applied to several problems in combinatorics. Some results in space-bounded computational complexity are also presented.
Lecture Hall Sequences, Q-Series, And Asymmetric Partition Identities,
2012
Université Paris-Sud
Lecture Hall Sequences, Q-Series, And Asymmetric Partition Identities, Sylvie Corteel, Carla D. Savage, Andrew Sills
Mathematical Sciences: Faculty Publications
We use generalized lecture hall partitions to discover a new pair of q-series identities. These identities are unusual in that they involve partitions into parts from asymmetric residue classes, much like the little Göllnitz partition theorems. We derive a two-parameter generalization of our identities that, surprisingly, gives new analytic counterparts of the little Göllnitz theorems. Finally, we show that the little Göllnitz theorems also involve “lecture hall sequences,” that is, sequences constrained by the ratio of consecutive parts.
Quadratic Spline Approximation Of The Newsvendor Problem Optimal Cost Function,
2012
Brigham Young University - Provo
Quadratic Spline Approximation Of The Newsvendor Problem Optimal Cost Function, Christina Marie Burton
Theses and Dissertations
We consider a single-product dynamic inventory problem where the demand distributions in each period are known and independent but with density. We assume the lead time and the fixed cost for ordering are zero and that there are no capacity constraints. There is a holding cost and a backorder cost for unfulfilled demand, which is backlogged until it is filled by another order. The problem may be nonstationary, and in fact our approximation of the optimal cost function using splines is most advantageous when demand falls suddenly. In this case the myopic policy, which is most often used in practice …
The National & State Context Of Stem Education: Past, Present, And Future,
2012
Georgia Board of Regents
The National & State Context Of Stem Education: Past, Present, And Future, Henry M. Huckaby, Kamau Bobb, Charles Kutal, Judy Awong-Taylor
Interdisciplinary STEM Teaching & Learning Conference (2012-2019) (Archived)
N/A
The 1, 2-Conjecture For Graphs With Relatively Small Chromatic Number,
2012
University of Illinois at Urbana–Champaign
The 1, 2-Conjecture For Graphs With Relatively Small Chromatic Number, Sogol Jahanbekam, Douglas West
Faculty Publications
No abstract provided.
Metacalibration In Geometric Optimization,
2012
Brigham Young University - Provo
Metacalibration In Geometric Optimization, Donald C. Sampson
Theses and Dissertations
A introduction to metacalibration methods and their application. This includes a new proof of the double bubble conjecture, new results in the area of equitent problems (isoperimetric problems with boundary), and comments on a mapping conjecture.
Exploring The On-Line Partitioning Of Posets Problem,
2012
Scripps College
Exploring The On-Line Partitioning Of Posets Problem, Leah F. Rosenbaum
Scripps Senior Theses
One question relating to partially ordered sets (posets) is that of partitioning or dividing the poset's elements into the fewest number of chains that span the poset. In 1950, Dilworth established that the width of the poset - the size of the largest set composed only of incomparable elements - is the minimum number of chains needed to partition that poset. Such a bound in on-line partitioning has been harder to establish, and work has evalutated classes of posets based on their width. This paper reviews the theorems that established val(2)=5 and illustrates them with examples. It also covers some …
Subdivision Rules, 3-Manifolds, And Circle Packings,
2012
Brigham Young University - Provo
Subdivision Rules, 3-Manifolds, And Circle Packings, Brian Craig Rushton
Theses and Dissertations
We study the relationship between subdivision rules, 3-dimensional manifolds, and circle packings. We find explicit subdivision rules for closed right-angled hyperbolic manifolds, a large family of hyperbolic manifolds with boundary, and all 3-manifolds of the E^3,H^2 x R, S^2 x R, SL_2(R), and S^3 geometries (up to finite covers). We define subdivision rules in all dimensions and find explicit subdivision rules for the n-dimensional torus as an example in each dimension. We define a graph and space at infinity for all subdivision rules, and use that to show that all subdivision rules for non-hyperbolic manifolds have mesh not going to …
Groups Of Graphs Of Groups,
2012
College of Saint Benedict/Saint John's University
Groups Of Graphs Of Groups, David P. Byrne, Matthew J. Donner, Thomas Q. Sibley
Mathematics Faculty Publications
We classify all groups of color preserving automorphisms (isometries) of edge colored complete graphs derived from finite groups.
Session D-3: Discrete Mathematics: A Great Curriculum Connector,
2012
Illinois Mathematics and Science Academy
Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio
Professional Learning Day
Many topics that fall under the umbrella of Discrete Mathematics cut across the traditional high school curriculum areas of algebra, geometry, and pre-calculus. Come try some classroom-ready hands-on Discrete Mathematics activities that illustrate the true interconnectedness of mathematics.
What Mathematics Do Elementary Education Teachers Need To Know?,
2012
College of Saint Benedict/Saint John's University
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
Forum, 2012 Spring
Almost no one is happy with the state of America's mathematics education. I examine the mathematics textbooks elementary education majors commonly use in college to determine what effect this might be having on their future elementary school students. In this Thursday Forum, I report on what I found in these textbooks---and why I do not like them. I then supply an alternative vision that would better serve our elementary school students.
On Soliton Interactions For A Hierarchy Of Generalized Heisenberg Ferromagnetic Models On Su(3)/S(U(1) $\Times$ U(2)) Symmetric Space,
2012
Bulgarian Academy of Sciences
On Soliton Interactions For A Hierarchy Of Generalized Heisenberg Ferromagnetic Models On Su(3)/S(U(1) $\Times$ U(2)) Symmetric Space, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, Tihomir Valchev
Articles
We consider an integrable hierarchy of nonlinear evolution equations (NLEE) related to linear bundle Lax operator L. The Lax representation is Z2 \times Z2 reduced and is naturally associated with the symmetric space SU(3)/S(U(1) \times U(2)). The simplest nontrivial equation in the hierarchy is a generalization of Heisenberg ferromagnetic model. We construct the N-soliton solutions for an arbitrary member of the hierarchy by using the Zakharov-Shabat dressing method with an appropriately chosen dressing factor. Two types of soliton solutions: quadruplet and doublet solitons are found. The one-soliton solutions of NLEEs with even and odd dispersion laws have different properties. In …
Temporal Topos And U-Singularities,
2012
California Polytechnic State University - San Luis Obispo
Temporal Topos And U-Singularities, Goro C. Kato
Mathematics
Several papers and books by C. Isham, C.Isham-A. Doering, F. Van Oystaeyen, A.Mallios-I. Raptis, C. Mulvey, and Guts and Grinkevich, have been published on the methods of categories and sheaves to study quantum gravity. Needless to say, there are well-written treatises on quantum gravity whose methods are non-categorical and non-sheaf theoretic. This paper may be one of the first papers explaining the methods of sheaves with minimally required background that retains experimental applications. Temporal topos (t-topos) is related to the topos approach to quantum gravity being developed by Prof. Chris Isham of the Oxford-Imperial research group (with its foundations inthe …
Undergraduate Students' Self-Reported Use Of Mathematics Textbooks,
2012
College of Saint Benedict/Saint John's University
Undergraduate Students' Self-Reported Use Of Mathematics Textbooks, Aaron Weinberg, Emilie Wiesner, Bret Benesh, Timothy Boester
Mathematics Faculty Publications
Textbooks play an important role in undergraduate mathematics courses and have the potential to impact student learning. However, there have been few studies that describe students' textbook use in detail. In this study, 1156 undergraduate students in introductory mathematics classes were surveyed, and asked to describe how they used their textbook. The results indicate that students tend to use examples, instead of the expository text, to build their mathematical understanding, which instructors may view as problematic. This way of using the textbook may be the result of the textbook structure itself, as well as students' beliefs about reading and the …
What Mathematics Do Elementary Education Teachers Need To Know?,
2012
College of Saint Benedict/Saint John's University
What Mathematics Do Elementary Education Teachers Need To Know?, Bret Benesh
Forum Lectures
Almost no one is happy with the state of America's mathematics education. I examine the mathematics textbooks elementary education majors commonly use in college to determine what effect this might be having on their future elementary school students. In this Thursday Forum, I report on what I found in these textbooks---and why I do not like them. I then supply an alternative vision that would better serve our elementary school students.
A Multidimensional Ruin Problem,
2012
Louisiana State University
A Multidimensional Ruin Problem, S Ramasubramanian
Communications on Stochastic Analysis
No abstract provided.
