Linear Feedback Shift Registers: Pseudo-Random Number Generators And Their Use In Cryptosystems,
2011
Department of Mathematics, Boise State University
Linear Feedback Shift Registers: Pseudo-Random Number Generators And Their Use In Cryptosystems, Michael Perez, Marion Scheepers
College of Arts and Sciences Poster Presentations
Cryptology is the study and application of encrypting and decrypting data so that only the intended recipient and senders can view data. This is important in applications such as online banking and military operations. Linear Feedback Shift Registers, or LFSRs for short, create a pseudo-random number stream that is computationally efficient. LFSRs are used (in conjunction with other methods) to encrypt items such as DVD’s and many wireless signals, including digital TV and radio. Using random methods, a seed value can be created to create a strong random number stream.
Prospective K-8 Teachers’ Knowledge Of Relational Thinking,
2011
Marquette University
Prospective K-8 Teachers’ Knowledge Of Relational Thinking, Marta Magiera, Leigh A. Van Den Kieboom, John Moyer
Mathematics, Statistics and Computer Science Faculty Research and Publications
The goal of this study was to examine two issues: First, pre-service teachers’ ability and inclination to think relationally prior to instruction about the role relational thinking plays in the K-8 mathematics curriculum. Second, to examine task specific variables possibly associated with pre-service teachers’ inclination to engage in relational thinking. The results revealed that preservice teachers engage in relational thinking about equality, however, their inclination to do so is rather limited. Furthermore, they tend to engage in relational thinking more frequently in the context of arithmetic than algebra-related tasks. Pre-service teachers’ inclination to engage in relational thinking appeared to also …
When Is Hyponormality For 2-Variable Weighted Shifts Invariant Under Powers?,
2011
University of Iowa
When Is Hyponormality For 2-Variable Weighted Shifts Invariant Under Powers?, Raul E. Curto, Jasang Yoon
School of Mathematical & Statistical Sciences Faculty Publications
Abstract. For 2-variable weighted shifts W(α,β) ≡ (T1, T2) we study the invariance of (joint) khyponormality under the action (h, ℓ) 7→ W (h,ℓ) (α,β) := (T h 1 , T ℓ 2 ) (h, ℓ ≥ 1). We show that for every k ≥ 1 there exists W(α,β) such that W (h,ℓ) (α,β) is k-hyponormal (all h ≥ 2, ℓ ≥ 1) but W(α,β) is not k-hyponormal. On the positive side, for a class of 2-variable weighted shifts with tensor core we find a computable necessary condition for invariance. Next, we exhibit a large nontrivial class for which hyponormality …
B-Coloring Of Regular Graphs,
2011
Illinois Wesleyan University
B-Coloring Of Regular Graphs, Taole Zhu, Josh Brown-Kramer, Faculty Advisor
John Wesley Powell Student Research Conference
No abstract provided.
Axiomatic Foundations Of Mathematics,
2011
Stephen F Austin State University
Axiomatic Foundations Of Mathematics, Ryan Melton
Undergraduate Research Conference
No abstract provided.
Wavelet-Based Analysis Of Neutron-Induced Photon Spectral Data,
2011
Western Kentucky University
Wavelet-Based Analysis Of Neutron-Induced Photon Spectral Data, Bruce Kessler, Alexander Barzilov, Phillip Womble
Mathematics Faculty Publications
Neutron-based methods of non-destructive inter- rogation of objects for the purpose of their characterization are well-established techniques, employed in the field of bulk material analysis, contraband detection, unexploded ordnance, etc. The characteristic gamma rays produced in nuclear reactions initiated by neutrons in the volume of the irradiated object (inelastic neutron scattering, thermal neutron capture, and activation) are used for the elemental identification. In many real-world applications, an automated spectral analysis is needed, and many algorithms are used for that purpose. The Applied Physics Institute at Western Kentucky University has recently started to employ a mathematical spectrum analysis technique based on …
Gut Flora Metabolism Of Phosphatidylcholine Promotes Cardiovascular Disease,
2011
Cleveland Clinic
Gut Flora Metabolism Of Phosphatidylcholine Promotes Cardiovascular Disease, Zeneng Wang, Elizabeth Klipfell, Brian J. Bennett, Robert Koeth, Bruce S. Levison, Brandon Dugar, Ariel E. Feldstein, Earl B. Britt, Xiaoming Fu, Yoo Mi Chung, Yuping Wu, Phil Schauer, Jonathan D. Smith, Hooman Allayee, W.H. Wilson Tang, Joseph A. Didonato, Aldons J. Lusis, Stanley L. Hazen
Mathematics and Statistics Faculty Publications
Metabolomics studies hold promise for the discovery of pathways linked to disease processes. Cardiovascular disease (CVD) represents the leading cause of death and morbidity worldwide. Here we used a metabolomics approach to generate unbiased small-molecule metabolic profiles in plasma that predict risk for CVD. Three metabolites of the dietary lipid phosphatidylcholine—choline, trimethylamine N-oxide (TMAO) and betaine—were identified and then shown to predict risk for CVD in an independent large clinical cohort. Dietary supplementation of mice with choline, TMAO or betaine promoted upregulation of multiple macrophage scavenger receptors linked to atherosclerosis, and supplementation with choline or TMAO promoted atherosclerosis. Studies using …
Impulsive Semilinear Neutral Functional Differential Inclusions With Multivalued Jumps,
2011
Florida Institute of Technology
Impulsive Semilinear Neutral Functional Differential Inclusions With Multivalued Jumps, Nadjet Abada, Ravi P. Agarwal, Mouffak Benchohra, Hadda Hammouche
Mathematics and System Engineering Faculty Publications
In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
Efficient First Order Methods For Linear Composite Regularizers,
2011
University of Chicago
Efficient First Order Methods For Linear Composite Regularizers, Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil, Lixin Shen, Yuesheng Xu
Mathematics - All Scholarship
A wide class of regularization problems in machine learning and statistics employ a regularization term which is obtained by composing a simple convex function omega with a linear transformation. This setting includes Group Lasso methods, the Fused Lasso and other total variation methods, multi-task learning methods and many more. In this paper, we present a general approach for computing the proximity operator of this class of regularizers, under the assumption that the proximity operator of the function \omega is known in advance. Our approach builds on a recent line of research on optimal first order optimization methods and uses fixed …
On Random Topological Structures,
2011
Florida Institute of Technology
On Random Topological Structures, Ravi P. Agarwal, Yeolje Cho, Reza Saadati
Mathematics and System Engineering Faculty Publications
We present some topics about random spaces. The main purpose of this paper is to study topological structure of random normed spaces and random functional analysis. These subjects are important to the study of nonlinear analysis in random normed spaces.
Stable Generalized Finite Element Method (Sgfem),
2011
University of Texas at Austin
Stable Generalized Finite Element Method (Sgfem), I. Babuska, U. Banerjee
Mathematics - All Scholarship
The Generalized Finite Element Method (GFEM) is a Partition of Unity Method (PUM), where the trial space of standard Finite Element Method (FEM) is augmented with non-polynomial shape functions with compact support. These shape functions, which are also known as the enrichments, mimic the local behavior of the unknown solution of the underlying variational problem. GFEM has been successfully used to solve a variety of problems with complicated features and microstructure. However, the stiffness matrix of GFEM is badly conditioned (much worse compared to the standard FEM) and there could be a severe loss of accuracy in the computed solution …
Game Theory And Von Neumann’S Minimax Theorem,
2011
Bethel University
Game Theory And Von Neumann’S Minimax Theorem, Megan Hall
Honors Student Works
We encounter many situations of conflict on a day‐to‐day basis. When trying to find a solution, we consider all the possible consequences of our choices. Sometimes, the outcome of a situation depends on the decisions of others. This is where the discussion of game theory begins. Game theory seeks to construct a mathematical model for these decision making processes. The players in a game want to find the best outcome for themselves; is it possible to guarantee that a particular outcome, no matter what the other player does? Perhaps the most important result of game theory is the Minimax Theorem, …
2011 (Spring),
2011
University of Dayton
2011 (Spring), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2011 Spring Colloquium.
A Nonnegative Analysis Of Politics,
2011
Gettysburg College
A Nonnegative Analysis Of Politics, Tim Chartier, Charles D. Wessell
Math Faculty Publications
The article investigates how linear algebra can recover mathematical information from the electronic messages using the Enron Email Sets in Pennsylvania. It states that a term-by-email matrix has been created to cluster algorithm, which allows one to mine through data and discover meaning. Moreover, nonnegative matrix factorization (NMF) enables one to interpret the resulting factorization in terms of the original problem.
Traveling Waves Of Selective Sweeps,
2011
Duke University
Traveling Waves Of Selective Sweeps, Rick Durrett, John Mayberry
College of the Pacific Faculty Articles
The goal of cancer genome sequencing projects is to determine the genetic alterations that cause common cancers. Many malignancies arise during the clonal expansion of a benign tumor which motivates the study of recurrent selective sweeps in an exponentially growing population. To better understand this process, Beerenwinkel et al. [PLoS Comput. Biol. 3 (2007) 2239- 2246] consider a Wright-Fisher model in which cells from an exponentially growing population accumulate advantageous mutations. Simulations show a traveling wave in which the time of the first k-fold mutant, Tk, is approximately linear in k and heuristics are used to obtain formulas for ETk. …
Results In Lattices, Ortholattices, And Graphs,
2011
Louisiana Tech University
Results In Lattices, Ortholattices, And Graphs, Jianning Su
Doctoral Dissertations
This dissertation contains two parts: lattice theory and graph theory. In the lattice theory part, we have two main subjects. First, the class of all distributive lattices is one of the most familiar classes of lattices. We introduce "π-versions" of five familiar equivalent conditions for distributivity by applying the various conditions to 3-element antichains only. We prove that they are inequivalent concepts, and characterize them via exclusion systems. A lattice L satisfies D0π, if a ✶ (b ✶ c) ≤ (a ✶ b) ✶ c for all 3-element antichains { a, b, c}. We consider …
Quantitative Stability Of Linear Infinite Inequality Systems Under Block Perturbations With Applications To Convex Systems,
2011
Miguel Hernández University of Elche, Alicante, Spain
Quantitative Stability Of Linear Infinite Inequality Systems Under Block Perturbations With Applications To Convex Systems, M J. Cánovas, M A. Lopez, Boris S. Mordukhovich, J Parra
Mathematics Research Reports
The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional (resp. finite-dimensional) Banach spaces and that are indexed by an arbitrary fixed set J. Parameter perturbations on the right-hand side of the inequalities are required to be merely bounded, and thus the natural parameter space is loo(J). Our basic strategy consists of linearizing the parameterized convex system via splitting convex inequalities into linear ones by using the Fenchel-Legendre conjugate. This approach yields that arbitrary bounded right-hand side perturbations of the convex system turn …
Section Abstracts: Astronomy, Mathematics And Physics With Materials Science,
2011
Old Dominion University
Section Abstracts: Astronomy, Mathematics And Physics With Materials Science
Virginia Journal of Science
Abstracts for the Astronomy, Mathematics, and Physics with Materials Science Section for the 89th Annual Meeting of the Virginia Academy of Science, May 25-27, 2011, University of Richmond, Richmond VA.
A New Summation Formula For Wp-Bailey Pairs,
2011
West Chester University of Pennsylvania
A New Summation Formula For Wp-Bailey Pairs, James Mclaughlin
Mathematics Faculty Publications
No abstract provided.
Characterization Of The Threshold For Nad(P)H:Quinone Oxidoreductase Activity In Intact Sulforaphane-Treated Pulmonary Arterial Endothelial Cells,
2011
Medical College of Wisconsin
Characterization Of The Threshold For Nad(P)H:Quinone Oxidoreductase Activity In Intact Sulforaphane-Treated Pulmonary Arterial Endothelial Cells, Robert D. Bongard, Gary S. Krenz, Adam J. Gastonguay, Carol L. Williams, Brian J. Lindemer, Marilyn P. Merker
Mathematics, Statistics and Computer Science Faculty Research and Publications
Treatment of bovine pulmonary arterial endothelial cells in culture with the phase II enzyme inducer sulforaphane (5 μM, 24 h; sulf-treated) increased cell-lysate NAD(P)H:quinone oxidoreductase (NQO1) activity by 5.7 ± 0.6 (mean ± SEM)-fold, but intact-cell NQO1 activity by only 2.8 ± 0.1-fold compared to control cells. To evaluate the hypothesis that the threshold for sulforaphane-induced intact-cell NQO1 activity reflects a limitation in the capacity to supply NADPH at a sufficient rate to drive all the induced NQO1 to its maximum activity, total KOH-extractable pyridine nucleotides were measured in cells treated with duroquinone to stimulate maximal NQO1 activity. NQO1 activation …
