Rhombic Tilings And Primordia Fronts Of Phyllotaxis,
2017
Smith College
Rhombic Tilings And Primordia Fronts Of Phyllotaxis, Pau Atela, Christophe Golé
Mathematics Sciences: Faculty Publications
We introduce and study properties of phyllotactic and rhombic tilings on the cylin- der. These are discrete sets of points that generalize cylindrical lattices. Rhombic tilings appear as periodic orbits of a discrete dynamical system S that models plant pattern formation by stacking disks of equal radius on the cylinder. This system has the advantage of allowing several disks at the same level, and thus multi-jugate config- urations. We provide partial results toward proving that the attractor for S is entirely composed of rhombic tilings and is a strongly normally attracting branched manifold and conjecture that this attractor persists topologically …
Dealing With Mathematical Anxiety: Should One Size Fit All?,
2017
University of Montana
Dealing With Mathematical Anxiety: Should One Size Fit All?, Jon Warwick
The Mathematics Enthusiast
Many students who have to study mathematics as an enabling subject within higher education experience mathematical anxiety to a greater or lesser extent. This affliction can impact student learning and achievement in mathematics and so a number of strategies have been suggested for alleviating mathematical anxiety or at least moderating its effects. This paper reports on a comparison of the mathematical anxiety experienced by two groups of students each studying a different subject discipline. The results indicate that the groups have quite different levels of anxiety and the differing contributing factors between the groups suggest that approaches to remediation need …
The Mean Value Theorem,
2017
Ursinus College
13: Polar Reciprocal,
2017
Illinois Mathematics and Science Academy
13: Polar Reciprocal, Ruth Dover
Mathematica Notebooks for Pre-Calculus and Calculus
PolarReciprocal.nb first shows a transformation of the circle r = 3 into the circle r = 3sin (theta). Second, it shows the original and reciprocal graphs through the animation. Interesting stuff!
09: Solving Trig Equations,
2017
Illinois Mathematics and Science Academy
09: Solving Trig Equations, Ruth Dover
Mathematica Notebooks for Pre-Calculus and Calculus
SolvingTrigEquations.nb develops the idea of solving trigonometric equations with special angles by looking at a sequence of problems. The student is asked to think about solutions and to do more problems along the way.
09: Slope Field,
2017
Illinois Mathematics and Science Academy
09: Slope Field, Ruth Dover
Mathematica Notebooks for Pre-Calculus and Calculus
SlopeField.nb does just what it says! Enter a differential equation in the form y = … and choose the window. It is also possible to choose the number of marks in each direction.
Structure Formulas For Wave Operators,
2017
University at Albany, State University of New York
Structure Formulas For Wave Operators, Marius Beceanu, Wilhelm Schlag
Mathematics and Statistics Faculty Scholarship
We establish quantitative estimates on the structure function arising in the representation of the intertwining wave operators of a Schroedinger operator in three dimensions. Regularity of zero energy is assumed throughout. This paper is related to, and corrects some inaccuracies in, the first author's work this https URL
Discussion Of "Bridging The Gap Between Theory And Practice In Basic Statistical Process Monitoring",
2017
University of San Francisco
Discussion Of "Bridging The Gap Between Theory And Practice In Basic Statistical Process Monitoring", L. A. Jones-Farmer, Nathaniel Stevens
Mathematics
No abstract provided.
Quantifying Similarity In Reliability Surfaces Using The Probability Of Agreement,
2017
University of San Francisco
Quantifying Similarity In Reliability Surfaces Using The Probability Of Agreement, Nathaniel Stevens, C. M. Anderson-Cook
Mathematics
When separate populations exhibit similar reliability as a function of multiple explanatory variables, combining them into a single population is tempting. This can simplify future predictions and reduce uncertainty associated with estimation. However, combining these populations may introduce bias if the underlying relationships are in fact different. The probability of agreement formally and intuitively quantifies the similarity of estimated reliability surfaces across a two-factor input space. An example from the reliability literature demonstrates the utility of the approach when deciding whether to combine two populations or to keep them as distinct. New graphical summaries provide strategies for visualizing the results.
On The Combinatorics Of Demoulin Transforms And (Discrete) Projective Minimal Surfaces,
2017
The University of Notre Dame Australia
On The Combinatorics Of Demoulin Transforms And (Discrete) Projective Minimal Surfaces, A Mccarthy, W Schief
Sciences Papers and Journal Articles
The classical Demoulin transformation is examined in the context of discrete differential geometry. We show that iterative application of the Demoulin transformation to a seed projective minimal surface generates a Z 2 lattice of projective minimal surfaces. Known and novel geometric properties of these Demoulin lattices are discussed and used to motivate the notion of lattice Lie quadrics and associated discrete envelopes and the definition of the class of discrete projective minimal and Q-surfaces (PMQ-surfaces). We demonstrate that the even and odd Demoulin sublattices encode a two-parameter family of pairs of discrete PMQ-surfaces with the property that one discrete PMQ-surface …
A Two-Species Stage-Structured Model For West Nile Virus Transmission,
2017
Virginia Commonwealth University
A Two-Species Stage-Structured Model For West Nile Virus Transmission, Taylor A. Beebe, Suzanne L. Robertson
Mathematics and Applied Mathematics Publications
We develop a host–vector model of West Nile virus (WNV) transmission that incorporates multiple avian host species as well as host stage-structure (juvenile and adult stages), allowing for both species-specific and stage-specific biting rates of vectors on hosts. We use this ordinary differential equation model to explore WNV transmission dynamics that occur between vectors and multiple structured host populations as a result of heterogeneous biting rates on species and/or life stages. Our analysis shows that increased exposure of juvenile hosts generally results in larger outbreaks of WNV infectious vectors when compared to differential host species exposure. We also find that …
A Theoretical Framework For Analyzing Coupled Neuronal Networks: Application To The Olfactory System,
2017
Southern Methodist University
A Theoretical Framework For Analyzing Coupled Neuronal Networks: Application To The Olfactory System, Andrea K. Barreiro, Shree Hari Gautam, Woodrow L. Shew, Cheng Ly
Mathematics and Applied Mathematics Publications
Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide detailed information about neural spiking but have traditionally been confined to a particular region or layer of cortex. Here we develop new theoretical methods to study interactions between and within two brain regions, based on experimental measurements of spiking activity simultaneously recorded from the two regions. By systematically comparing experimentally-obtained spiking statistics to (efficiently computed) model spike rate statistics, we identify regions in model parameter space that are consistent with the experimental data. We apply our new technique …
Founders, Feminists, And A Fascist -- Some Notable Women In The Missouri Section Of The Maa,
2017
Missouri University of Science and Technology
Founders, Feminists, And A Fascist -- Some Notable Women In The Missouri Section Of The Maa, Leon M. Hall
Mathematics and Statistics Faculty Research & Creative Works
In the history of the Missouri Section of the MAA, some of the more interesting people who influenced the growth and development of the section through the years were and are women. In this chapter, we discuss the contributions of a few (certainly not all) of these women to the Missouri Section and mathematics as a whole, including Emily Kathryn Wyant (founder of KME), Margaret F. Willerding (who dealt with sexism in the 1940s), Maria Castellani (an official in Mussolini’s Italy before coming to America), and T. Christine Stevens (co-founder of Project NExT). Without them, and others like them, both …
Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious,
2017
Harrisburg University of Science and Technology
Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, Emily Wefelmeyer, Mary Beth Backus
Other Student Works
The idea that education in America is deteriorating is emotionally charged and controversial. While there is no disputing that education levels in the United States continue to rise, there is also a pervasive notion that this was accomplished by gradually reducing the readability level and general difficulty of textbooks. One tool often employed in the defense of education is the employment of readability indices in the evaluation of textbooks. There are a variety of these readability indices that serve the purpose of indicating a grade level for a particular piece of writing (Kinkaid, et. al., 1975). It’s relatively easy to …
A Dressing Method For Soliton Solutions Of The Camass-Holm Equation,
2017
Technological University Dublin
A Dressing Method For Soliton Solutions Of The Camass-Holm Equation, Rossen Ivanov, Tony Lyons, Nigel Orr
Conference papers
The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by other methods.
Weihrauch Reducibility And Finite-Dimensional Subspaces,
2017
Marshall University
Weihrauch Reducibility And Finite-Dimensional Subspaces, Sean Sovine
Theses, Dissertations and Capstones
In this thesis we study several principles involving subspaces and decompositions of vector spaces, matroids, and graphs from the perspective of Weihrauch reducibility. We study the problem of decomposing a countable vector space or countable matroid into 1-dimensional subspaces. We also study the problem of producing a finite-dimensional or 1-dimensional subspace of a countable vector space, and related problems for producing finite-dimensional subspaces of a countable matroid. This extends work in the reverse mathematics setting by Downey, Hirschfeldt, Kach, Lempp, Mileti, and Montalb´an (2007) and recent work of Hirst and Mummert (2017). Finally, we study the problem of producing a …
The Pareto-G Extended Weibull Distribution,
2017
Marshall University
The Pareto-G Extended Weibull Distribution, Oluwaseun Elizabeth Otunuga
Theses, Dissertations and Capstones
In this thesis, the Pareto family of extended Weibull distribution is introduced and discussed extensively. This family consists of the Pareto (Type I) Extended Weibull Distribution or PEW for short, and the Pareto (Type II) Extended Weibull Distribution or otherwise called the Lomax Extended Weibull Distribution or LEW for short. The numbers of the parameters of PEW or LEW depend on the number of parameters for the extended Weibull distribution and type of the Pareto distribution. Some properties of these distributions, such as the hazard rate function, the survival function, moments, skewness, kurtosis, mean deviation and entropies are discussed. The …
Local Sensitivity Analysis Of Acute Inflammation,
2017
Marshall University
Local Sensitivity Analysis Of Acute Inflammation, James Martin
Theses, Dissertations and Capstones
The inflammatory response is the body's response to some pathogen or foreign invader. When infected by a pathogen, a healthy individual will mount a response with immunological factors to eliminate it. An inflammatory response that is either too strong or too weak can be detrimental to the individual's health. We will look at a qualitative mathematical model of the inflammatory response, in scenarios that represent varying disorders of the immune system. Using sensitivity analysis we determine which parameters of this model are most influential in the different scenarios. By determining which parameters are most influential we can suggest possible targets …
Common Core And Stem Opportunities,
2017
University of Montana
Common Core And Stem Opportunities, Lane H. Walker, Helene J. Sherman
The Mathematics Enthusiast
There is an increasing need for educators at all levels to equip more students with problem-solving skills that better fit our changing work force. Students are largely unaware of many science-, technology-, engineering-, and math-related (STEM) careers. They often do not understand the importance of those careers or what skills are required to pursue them. Students are exposed to some of those skills if they take Career Technical Education (CTE) classes, but rarely do they see the connections in their core math classes. Math teachers have pointed to their dense curricula as making STEM integration impractical. A study of the …
Introduction To The Special Issue On Teaching Inquiry (Part I): Illuminating Inquiry,
2017
Augustana College, Rock Island Illinois
Introduction To The Special Issue On Teaching Inquiry (Part I): Illuminating Inquiry, Brian P. Katz, Elizabeth Thoren
Mathematics: Faculty Scholarship & Creative Works
We provide an introduction to the special issue on Teaching Inquiry, through its motivation and themes. We focus here on Part I: Illuminating Inquiry.
