Interactive Real-Time Embedded Systems Education Infused With Applied Internet Telephony,
2011
Marquette University
Interactive Real-Time Embedded Systems Education Infused With Applied Internet Telephony, Kyle Persohn, Dennis Brylow
Mathematics, Statistics and Computer Science Faculty Research and Publications
The transition from traditional circuit-switched phone systems to modern packet-based Internet telephony networks demands tools to support Voice over Internet Protocol (VoIP) development. In this paper, we introduce the XinuPhone, an integrated hardware/software approach for educating users about VoIP technology on a real-time embedded platform. We propose modular course topics for design-oriented, hands-on laboratory exercises: filter design, timing, serial communications, interrupts and resource budgeting, network transmission, and system benchmarking. Our open-source software platform encourages development and testing of new CODECs alongside existing standards, unlike similar commercial solutions. Furthermore, the supporting hardware features inexpensive, readily available components designed specifically for educational …
Variational Analysis Of Marginal Functions With Applications To Bilevel Programming,
2011
Wayne State University
Variational Analysis Of Marginal Functions With Applications To Bilevel Programming, Boris S. Mordukhovich, Nguyen Mau Nam, Hung M. Phan
Mathematics Research Reports
This paper pursues a twofold goal. First to derive new results on generalized differentiation in variational analysis focusing mainly on a broad class of intrinsically nondifferentiable marginal/value functions. Then the results established in this direction apply to deriving necessary optimality conditions for the optimistic version of bilevel programs that occupy a remarkable place in optimization theory and its various applications. We obtain new sets of optimality conditions in both smooth and smooth settings of finite-dimensional and infinite-dimensional spaces.
2011 (Fall),
2011
University of Dayton
2011 (Fall), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2011 Fall Colloquium.
Bytes Of Π, Fall 2011,
2011
Bridgewater State University
Bytes Of Π, Fall 2011, Department Of Mathematics And Computer Science, Bridgewater State University
Department of Mathematics Newsletter
No abstract provided.
The Editor's Song,
2011
Santa Clara University
The Editor's Song, Frank A. Farris
Mathematics and Computer Science
The program of the 2011 Mathfest's opening banquet was "MAA-The Musical!' Produced by Annalisa Crannell and starring the "MAA Players"(active MAA members all), it highlighted activities of the Association and of Mathfest itself. This song represents the journals. It was sung by past editor Frank Farris to the tune of "A Wand'ring Minstrel I,"from Gilbert and Sullivan's the Mikado.
A High-Resolution Finite-Difference Method For Simulating Two-Fluid, Viscoelastic Gel Dynamics,
2011
Boise State University
A High-Resolution Finite-Difference Method For Simulating Two-Fluid, Viscoelastic Gel Dynamics, Grady Wright, Robert D. Guy, Jian Du, Aaron L. Fogelson
Mathematics Faculty Publications and Presentations
An important class of gels are those composed of a polymer network and fluid solvent. The mechanical and rheological properties of these two-fluid gels can change dramatically in response to temperature, stress, and chemical stimulus. Because of their adaptivity, these gels are important in many biological systems, e.g. gels make up the cytoplasm of cells and the mucus in the respiratory and digestive systems, and they are involved in the formation of blood clots. In this study we consider a mathematical model for gels that treats the network phase as a viscoelastic fluid with spatially and temporally varying material parameters …
Alternative Proofs On The Indices Of Cacti And Unicyclic Graphs With N Vertices,
2011
Marshall University
Alternative Proofs On The Indices Of Cacti And Unicyclic Graphs With N Vertices, Sudipta Mallik
Mathematics Faculty Research
Let Hn be the cactus obtained from the star K1,n—1 by adding └ n—1/2┘ independent edges between pairs of pendant vertices. Let K1,+n—1 be the unicyclic graph obtained from the star by appending one edge. In this paper we give alternative proofs of the following results: Among all cacti with n vertices, Hn is the unique cactus whose spectral radius is maximal, and among all unicyclic graphs with n vertices, K1,+n—1 is the unique unicyclic graph whose spectral radius is maximal. We also prove …
Infinitary Equivalence Of Zp- Modules With Nice Decomposition Bases,
2011
Universitat Duisburg-Essen, Germany
Infinitary Equivalence Of Zp- Modules With Nice Decomposition Bases, Rüdiger Göbel, Katrin Leistner, Peter Loth, Lutz Strüngmann
Mathematics Faculty Publications
Warfield modules are direct summands of simply presented Zp - modules, or, alternatively, are Zp - modules possessing a nice decomposition basis with simply presented cokernel. They have been classified up to isomorphism by theor Ilm-Kaplansky and Warfield invariants. Taking a model theoretic point of view and using infinitary languages we give here a complete theoretic characterization of a large class of Zp - modules having a nice decomposition basis. As a corollary, we obtain the classical classification of countable Warfield modules. This generalizes results by Barwise and Eklof.
An Experimental Nexos Laboratory Using Virtual Xinu,
2011
Renaissance Computing Institute
An Experimental Nexos Laboratory Using Virtual Xinu, Paul Ruth, Dennis Brylow
Mathematics, Statistics and Computer Science Faculty Research and Publications
The Nexos Project is a joint effort between Marquette University, the University of Buffalo, and the University of Mississippi to build curriculum materials and a supporting experimental laboratory for hands-on projects in computer systems courses. The approach focuses on inexpensive, flexible, commodity embedded hardware, freely available development and debugging tools, and a fresh implementation of a classic operating system, Embedded Xinu, that is ideal for student exploration. This paper describes an extension to the Nexos laboratory that includes a new target platform composed of Qemu virtual machines. Virtual Xinu addresses two challenges that limit the effectiveness of Nexos. First, potential …
Completeness Of Interacting Particles,
2011
Technological University Dublin
Completeness Of Interacting Particles, Pavel Abramski
Doctoral
This thesis concerns the completeness of scattering states of n _-interacting particles in one dimension. Only the repulsive case is treated, where thereare no bound states and the spectrum is entirely absolutely continuous, so the scattering Hilbert space is the whole of L2(Rn). The thesis consists of 4 chapters: The first chapter describes the model, the scattering states as given by the Bethe Ansatz, and the main completeness problem. The second chapter contains the proof of the completeness relation in the case of two particles: n = 2. This case had in fact already been treated by B. Smit (1997), …
Squaring, Cubing, And Cube Rooting,
2011
Harvey Mudd College
Squaring, Cubing, And Cube Rooting, Arthur T. Benjamin
All HMC Faculty Publications and Research
We present mentally efficient algorithms for mentally squaring and cubing 2-digit and 3-digit numbers and for finding cube roots of numbers with 2-digit or 3-digit answers.
Simplicial Bredon-Illman Cohomology With Local Coefficients.,
2011
Indian Statistical Institute
Simplicial Bredon-Illman Cohomology With Local Coefficients., Debashis Sen Dr.
Doctoral Theses
The notion of cohomology with local coefficients for topological spaces arose with the work of Steenrod [Ste43, Ste99], in connection with the problem of extending sections of a fibration. This cohomology is built on the notion of fundamental groupoid of the space and can be described by the invariant cochain subcomplex of the cochain complex of the universal cover under the action of the fundamental group of the space. This later description is due to Eilenberg [Eil47]. Cohomology with local coefficients finds applications in many other situations.We focus on one such application of this cohomology which is due to S. …
Spectral Properties Of Large Dimensional Random Circulant Type Matrices.,
2011
Indian Statistical Institute
Spectral Properties Of Large Dimensional Random Circulant Type Matrices., Koushik Saha Dr.
Doctoral Theses
Consider a sequence of matrices whose dimension increases to infinity. Suppose the entries of this sequence of matrices are random. These matrices with increasing dimension are called large dimensional random matrices (LDRM).Practices of random matrices, more precisely the properties of their eigenvalues, has emerged first from data analysis (beginning with Wishart (1928) [132]) and then from statistical models for heavy nuclei atoms (beginning with Wigner (1955) [130]). To insist on its physical applications, a mathematical theory of the spectrum of the random matrices began to emerge with the work of E. P. Wigner, F. J. Dyson, M. L. Mehta, C. …
Lessons Learned As A Novice Researcher: A Pilot Study In Mathematics Education,
2011
Western Michigan University
Lessons Learned As A Novice Researcher: A Pilot Study In Mathematics Education, Nicole L. Fonger
The Hilltop Review
The lessons we learn in life are often catalyzed by events or happenings that we experience and that subsequently change us in some way. Life as a graduate student is replete with diverse experiences that mold and shape one‘s outlook on teaching, learning, and disciplined inquiry. As a doctoral candidate, my role as a novice researcher is increasingly budding with growth and my responsibilities to design and conduct research have engendered some important lessons. Often confined to private or classroom conversations with graduate students and faculty members, the lessons I have learned as a novice researcher seem worth sharing to …
A Branching Process For Virus Survival,
2011
Syracuse University
A Branching Process For Virus Survival, J. Theodore Cox, Rinaldo B. Schinazi
Mathematics - All Scholarship
Quasispecies theory predicts that there is a critical mutation probability above which a viral population will go extinct. Above this threshold the virus loses the ability to replicate the best adapted genotype, leading to a population composed of low replicating mutants that is eventually doomed. We propose a new branching model that shows that this is not necessarily so. That is, a population composed of ever changing mutants may survive.
Toric Symmetry Of Cp3,
2011
Harvey Mudd College
Toric Symmetry Of Cp3, Dagan Karp, Dhruv Ranganathan, Paul Riggins '12, Ursula Whitcher
All HMC Faculty Publications and Research
We exhaustively analyze the toric symmetries of CP^3 and its toric blowups. Our motivation is to study toric symmetry as a computational technique in Gromov-Witten theory and Donaldson-Thomas theory. We identify all nontrivial toric symmetries. The induced nontrivial isomorphisms lift and provide new symmetries at the level of Gromov-Witten Theory and Donaldson-Thomas Theory. The polytopes of the toric varieties in question include the permutohedron, the cyclohedron, the associahedron, and in fact all graph associahedra, among others.
Mixed Monotone-Generalized Contractions In Partially Ordered Probabilistic Metric Spaces,
2011
Florida Institute of Technology
Mixed Monotone-Generalized Contractions In Partially Ordered Probabilistic Metric Spaces, Łjubomir B.Bomir Ćirić, Ravi P. Agarwal, Bessem Samet
Mathematics and System Engineering Faculty Publications
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved. The theorems Presented are an extension of many existing results in the literature and include several recent developments. © 2011 Ćirićć et al; licensee Springer.
On The K-Theory And Homotopy Theory Of The Klein Bottle Group,
2011
Boise State University
On The K-Theory And Homotopy Theory Of The Klein Bottle Group, Jens Harlander, Andrew Misseldine
Mathematics Faculty Publications and Presentations
We construct infinitely many chain homotopically distinct algebraic 2-complexes for the Klein bottle group and give various topological applications. We compare our examples to other examples in the literature and address the question of geometric realizability.
Adjoint Functors, Projectivization, And Differentiation Algorithms For Representations Of Partially Ordered Sets,
2011
Syracuse University
Adjoint Functors, Projectivization, And Differentiation Algorithms For Representations Of Partially Ordered Sets, Mark Kleiner, Markus Reitenbach
Mathematics - All Scholarship
Adjoint functors and projectivization in representation theory of partially ordered sets are used to generalize the algorithms of differentiation by a maximal and by a minimal point. Conceptual explanations are given for the combinatorial construction of the derived set and for the differentiation functor.
Integral Inequalities On Time Scales Via The Theory Of Isotonic Linear Functionals,
2011
Missouri University of Science and Technology
Integral Inequalities On Time Scales Via The Theory Of Isotonic Linear Functionals, Matloob Anwar, Rabia Bibi, Martin Bohner, Josip Pečarić
Mathematics and Statistics Faculty Research & Creative Works
We apply the theory of isotonic linear functionals to derive a series of known inequalities, extensions of known inequalities, and new inequalities in the theory of dynamic equations on time scales. © 2011 Matloob Anwar et al.
