A Data Generating Review That Bops, Twists And Pulls At Misconceptions,
2013
Kennesaw State University
A Data Generating Review That Bops, Twists And Pulls At Misconceptions, Kimberly Gardner
Faculty Articles
Statistics is an integral part of the K-12 mathematics curriculum (age 5-18). Naturally, students construct misconceptions of what they learn. This article discusses The Bop It© Challenge, a review activity assesses student understanding and reveals their misundertandings of statistical concepts.
Novel Algorithms And Instrumentation For Vibrational Spectroscopic Methods Of Analysis,
2013
Old Dominion University
Novel Algorithms And Instrumentation For Vibrational Spectroscopic Methods Of Analysis, Mohamed F. Abdelkader
Chemistry & Biochemistry Theses & Dissertations
Raman spectroscopy is a form of vibrational spectroscopy that has been increasingly applied to qualitative analysis of chemicals, explosives, pharmaceuticals, and fuels due to its non-invasive and non-destructive nature; its ease of sampling; and its high molecular specificity. These characteristics of Raman spectroscopy also facilitate its use for both in-line and at-line analysis. The principle limitation of Raman spectroscopy is optical interference arising from both analyte and non-analyte fluorescence. In this dissertation, a solution to this problem is presented in the form of a novel spectrometer design which operates in a sequentially shifted excitation mode to eliminate fluorescence backgrounds, fixed …
Study Of Spatiotemporal Signatures Between Objects To Improve Video Segmentation In Complex Environments,
2013
Old Dominion University
Study Of Spatiotemporal Signatures Between Objects To Improve Video Segmentation In Complex Environments, Adam Robert Reckley
Electrical & Computer Engineering Theses & Dissertations
Background subtraction is often considered to be a required stage of any video surveillance system being used to detect objects in a single frame and/or track objects across multiple frames in a video sequence. Most current state-of-the-art techniques for object detection and tracking utilize some form of background subtraction that involves developing a model of the background at a pixel, region or frame level and designating any elements that deviate from the background model as foreground. Most existing approaches are capable of segmenting a number of distinct components, but are unable to distinguish between the desired object of interest and …
Enumeration Of (16,4,16,4) Relative Difference Sets,
2013
Michigan Technological University
Enumeration Of (16,4,16,4) Relative Difference Sets, David C. Clark, Vladimir Tonchev
Department of Mathematical Sciences Publications
A complete enumeration of relative difference sets (RDS) with parameters (16, 4, 16, 4) in a group of order 64 with a normal subgroup N of order 4 is given. If N = Z4 , three of the 11 abelian groups of order 64, and 23 of the 256 nonabelian groups of order 64 contain (16, 4, 16, 4) RDSs. If N = Z2 × Z2 , nine of the abelian groups and 194 of the non-abelian groups of order 64 contain (16, 4, 16, 4) RDSs.
Some New Applications Of P-P Plots,
2013
Portland State University
Some New Applications Of P-P Plots, Isha Dewan, Subhash C. Kochar
Mathematics and Statistics Faculty Publications and Presentations
The P-P plot is a powerful graphical tool to compare stochastically the magnitudes of two random variables. In this note, we introduce a new partial order, called P?P order based on P-P plots. For a pair of random variables (X 1, Y1) and (X 2, Y 2) one can see the relative precedence of Y 2 over X 2 versus that of Y 1 over X 1 using P-P order. We show that several seemingly very technical and difficult concepts like convex transform order and super-additive ordering can be easily explained with the …
Oscillation Of Third-Order Nonlinear Delay Differential Equations,
2013
Missouri University of Science and Technology
Oscillation Of Third-Order Nonlinear Delay Differential Equations, Ravi P. Agarwal, Martin Bohner, Tongxing Li, Chenghui Zhang
Mathematics and Statistics Faculty Research & Creative Works
In this paper, we study the oscillatory behavior of a class of third-order nonlinear delay differential equations (a(t)(b(t)y′(t)) ′) ′+q(t)yγ(τ(t)) =0. Some new oscillation criteria are presented by transforming this equation to the first order delayed and advanced differential equations. Employing suitable comparison theorems, we establish new results on oscillation of the studied equation. Assumptions in our theorems are less restrictive; these criteria improve those in the recent paper [Appl. Math. Comput., 202 (2008), 102-112] and related contributions to the subject. Examples are provided to illustrate new results.
Information-Based Physics: An Intelligent Embedded Agent's Guide To The Universe,
2013
University at Albany, State University of New York
Information-Based Physics: An Intelligent Embedded Agent's Guide To The Universe, Kevin H. Knuth
Physics Faculty Scholarship
In this talk, I propose an approach to understanding the foundations of physics by considering the optimal inferences an intelligent agent can make about the universe in which he or she is embedded. Information acts to constrain an agent’s beliefs. However, at a fundamental level, any information is obtained from interactions where something influences something else. Given this, the laws of physics must be constrained by both the nature of such influences and the rules by which we can make inferences based on information about these influences. I will review the recent progress we have made in this direction. This …
Variation Of Instructor-Student Interactions In An Introductory Interactive Physics Course,
2013
University of California, Davis
Variation Of Instructor-Student Interactions In An Introductory Interactive Physics Course, Emily West, Cassandra Paul, David Webb, Wendell Potter
Faculty Publications
The physics instruction at UC Davis for life science majors takes place in a long-standing reformed large-enrollment physics course in which the discussion or laboratory instructors (primarily graduate student teaching assistants) implement the interactive-engagement (IE) elements of the course. Because so many different instructors participate in disseminating the IE course elements, we find it essential to the instructors’ professional development to observe and document the student-instructor interactions within the classroom. Out of this effort, we have developed a computerized real-time instructor observation tool (RIOT) to take data of student-instructor interactions. We use the RIOT to observe 29 different instructors for …
Investigation Into The Ratio Of System Operations And Support Costs To Life-Cycle Costs For Department Of Defense Weapon Systems,
2013
Air Force Institute of Technology
Investigation Into The Ratio Of System Operations And Support Costs To Life-Cycle Costs For Department Of Defense Weapon Systems, Gary L. Jones
Theses and Dissertations
As the arsenal of weapons managed by the Department of Defense (DoD) ages, the country's leadership is forced to make decisions regarding what to do with current and projected funding to maintain military defensive and offensive capabilities. The acquisition community at many levels has stated that O&S costs are about 70 percent of the total life-cycle costs of the average system, the other 30 percent being spent in the acquisition phase. This golden ratio does not appear to come from empirical evidence. There has been little research into the actual ratio of O&S-to-acquisition costs. This research found a significant departure …
Determining Optimal Machine Replacement Events With Periodic Inspection Intervals,
2013
Air Force Institute of Technology
Determining Optimal Machine Replacement Events With Periodic Inspection Intervals, Theodore C. Shiveley
Theses and Dissertations
This research will examine the optimal maintenance and replacement policies for a generic machine with periodic inspection intervals. The considered reliability models consist of a single machine that can fail during operation or else may be found to be inoperative during regularly-scheduled maintenance inspections. A distinction will be made between spontaneously-occurring failures during operation and those that are discovered during inspections. Since the elapsed time between inspections is constant, the resulting stochastic reliability process becomes non-Markovian, and thus a Semi-Markov Decision Process (SMDP) framework must be employed in order to determine the cost-optimal stationary policy consisting of repair and replace …
Enhanced Surveillance On Food-Borne Disease Outbreaks: Dynamics Of Cross-Contamination In Biocidal Wash Procedure,
2013
Cleveland State University
Enhanced Surveillance On Food-Borne Disease Outbreaks: Dynamics Of Cross-Contamination In Biocidal Wash Procedure, Daniel Munther, Jianhong Wu
Mathematics and Statistics Faculty Publications
Understanding the geographic and temporal spread of food-borne diseases associated with fresh produce is crucial for informing adequate surveillance and control. As a first step towards this goal, we develop and analyze a novel three stage model at the processing/sanitization juncture in the fresh produce supply chain. The key feature of our model is its ability to describe the dynamics of cross-contamination during commercial wash procedures. In general, we quantify the degree of cross-contamination in terms of model parameters. Applying these results in the case of Escherichia coli O157:H7 contamination of fresh-cut romaine lettuce, we identify the mean wash time …
Aliquot Cycles For Elliptic Curves With Complex Multiplication,
2013
Washington University in St Louis
Aliquot Cycles For Elliptic Curves With Complex Multiplication, Thomas Morrell
Undergraduate Theses—Unrestricted
We review the history of elliptic curves and show that it is possible to form a group law using the points on an elliptic curve over some field L. We review various methods for computing the order of this group when L is finite, including the complex multiplication method. We then define and examine the properties of elliptic pairs, lists, and cycles, which are related to the notions of amicable pairs and aliquot cycles for elliptic curves, defined by Silverman and Stange. We then use the properties of elliptic pairs to prove that aliquot cycles of length greater than …
The K-Dominating Graph,
2013
Smith College
The K-Dominating Graph, Ruth Haas, Karen Seyffarth
Mathematics Sciences: Faculty Publications
Abstract. Given a graph G, the k-dominating graph of G, Dk(G), is defined to be the graph whose vertices correspond to the dominating sets of G that have cardinality at most k. Two vertices in Dk(G) are adjacent if and only if the corresponding dominating sets of G differ by either adding or deleting a single vertex. The graph Dk(G) aids in studying the reconfiguration problem for dominating sets. In particular, one dominating set can be reconfigured to another by a sequence of single vertex additions and deletions, such that the intermediate set of …
Waring Decompositions Of Monomials,
2013
Institute of Mathematics of the Polish Academy of Sciences
Waring Decompositions Of Monomials, Weronika Buczyńska, Jarosław Buczyński, Zach Teitler
Mathematics Faculty Publications and Presentations
A Waring decomposition of a polynomial is an expression of the polynomial as a sum of powers of linear forms, where the number of summands is minimal possible. We prove that any Waring decomposition of a monomial is obtained from a complete intersection ideal, determine the dimension of the set of Waring decompositions, and give the conditions under which the Waring decomposition is unique up to scaling the variables.
Propeller,
2013
Claremont Colleges
Propeller, Joel Kahn
The Transdisciplinary STEAM+ Journal
This image is based on several different algorithms interconnected within a single program in the language BASIC-256. The fundamental structure involves a tightly wound spiral working outwards from the center of the image. As the spiral is drawn, different values of red, green and blue are modified through separate but related processes, producing the changing appearance. Algebra, trigonometry, geometry, and analytic geometry are all utilized in overlapping ways within the program. As with many works of algorithmic art, small changes in the program can produce dramatic alterations of the visual output, which makes lots of variations possible.
Stable Image Reconstruction Using Total Variation Minimization,
2013
Claremont McKenna College
Stable Image Reconstruction Using Total Variation Minimization, Deanna Needell, Rachel Ward
CMC Faculty Publications and Research
This article presents near-optimal guarantees for stable and robust image recovery from undersampled noisy measurements using total variation minimization. In particular, we show that from O(s log(N)) nonadaptive linear measurements, an image can be reconstructed to within the best s-term approximation of its gradient up to a logarithmic factor, and this factor can be removed by taking slightly more measurements. Along the way, we prove a strengthened Sobolev inequality for functions lying in the null space of suitably incoherent matrices.
Inverse Spectral Problems For Graphs,
2013
Brigham Young University
Inverse Spectral Problems For Graphs, Dr. Wayne Barrett
Journal of Undergraduate Research
This MEG grant made it possible to support several student research activ- ities from Spring 2009 through Winter 2010.
Fractional Calculus And Smallest Eigenvalues,
2013
Eastern Kentucky University
Fractional Calculus And Smallest Eigenvalues, Jeffrey T. Neugebauer
Mathematics Colloquium Series
This talk will introduce the subject of fractional calculus, which involves taking integrals and derivatives of arbitrary order. Neugebauer will show how the definitions of fractional derivatives and fractional integrals are natural extensions of the definitions of the derivative and the integral. In addition to showing some examples, Neugebauer will explore ongoing research on the comparison of smallest eigenvalues of a fractional-boundary-value problem with conjugate boundary conditions.
Character Tables Of Metacyclic Groups,
2013
Brigham Young University - Provo
Character Tables Of Metacyclic Groups, Dane Christian Skabelund
Theses and Dissertations
We show that any two split metacyclic groups with the same character tables are isomorphic. We then use this to show that among metacyclic groups that are either 2-groups or are of odd order divisible by at most two primes, that the dihedral and generalized quaternion groups of order 2^n, n = 3, are the only pairs that have the same character tables.
Euler’S Algebraic Creativity And Undergraduate Math,
2013
University of the Pacific
Euler’S Algebraic Creativity And Undergraduate Math, Christopher D. Goff
College of the Pacific Faculty Presentations
This talk will describe the author’s work translating a paper of Euler on number theory, and how researching the history of this paper led back to Lagrange, Fermat, and ultimately to a geometry problem of Diophantus. We will investigate Euler’s algebraic creativity and Lagrange’s explanation of his own method, inspired by Fermat. Moreover, we will demonstrate one way in which this paper of Euler’s has been used as part of a project in an undergraduate history of mathematics course. We will even investigate the continuation of Euler’s work.
