If A, Then B: How The World Discovered Logic (Book Review),
2015
Dordt College
If A, Then B: How The World Discovered Logic (Book Review), Calvin Jongsma
Faculty Work Comprehensive List
Reviewed Title: Shenefelt, Michael and Heidi White. If A Then B: How the World Discovered Logic. New York: Columbia University Press, 2014. 333 pages. ISBN 9780231161053
Four Tails Problems For Dynamical Collapse Theories,
2015
Chapman University
Four Tails Problems For Dynamical Collapse Theories, Kelvin J. Mcqueen
Philosophy Faculty Articles and Research
The primary quantum mechanical equation of motion entails that measurements typically do not have determinate outcomes, but result in superpositions of all possible outcomes. Dynamical collapse theories (e.g. GRW) supplement this equation with a stochastic Gaussian collapse function, intended to collapse the superposition of outcomes into one outcome. But the Gaussian collapses are imperfect in a way that leaves the superpositions intact. This is the tails problem. There are several ways of making this problem more precise. But many authors dismiss the problem without considering the more severe formulations. Here I distinguish four distinct tails problems. The first (bare tails …
Improving University Students' Perception Of Mathematics And Mathematics Ability,
2015
University of Lethbridge
Improving University Students' Perception Of Mathematics And Mathematics Ability, Shelly L. Wismath, Alyson Worrall
Numeracy
Although mathematical and quantitative reasoning skills are an essential part of adult life in our society, many students arrive at post-secondary education without such skills. Taking a standard mathematics course such as calculus may do little to improve those skills. Using a modification of the Tapia & Marsh questionnaire, we surveyed 62 students taking a broad quantitative reasoning course designed to develop quantitative skills, with respect to two broad attitudinal areas: students’ perception of their own ability, confidence and anxiety, and their perception of the value of mathematics in their studies and their lives. Pre- to post-course comparisons were done …
Developing The Horizon Content Knowledge Of Teachers Through A Math Teachers’ Circle,
2015
Dordt College
Developing The Horizon Content Knowledge Of Teachers Through A Math Teachers’ Circle, Tom Clark
Faculty Work Comprehensive List
Although much of the training pre-service mathematics teachers receive is either in mathematical content or educational theory and pedagogy, research indicates that mathematical knowledge for teaching (MKT), which lies in a sense at the intersection of the two, is a factor in teacher quality. Unfortunately, none of the recent improvements in teacher preparation necessarily affect in-service mathematics teachers. One successful program affecting in-service teachers nationwide is the Math Teachers’ Circle Network. One strand of MKT that I believe math teachers’ circles are in a position to affect is Horizon Content Knowledge (HCK). Although taking advanced mathematics courses may improve HCK, …
Flipping The Classroom And Mathematica-Based Modules In Complex Analysis, Maa Session On Revitalizing Complex Analysis At The Undergraduate Level, Ii.,
2015
Bethel University
Flipping The Classroom And Mathematica-Based Modules In Complex Analysis, Maa Session On Revitalizing Complex Analysis At The Undergraduate Level, Ii., William M. Kinney
Math and Computer Science Faculty Publications
No abstract provided.
Monomials And Basin Cylinders For Network Dynamics,
2015
Oregon Health & Science University
Monomials And Basin Cylinders For Network Dynamics, Daniel Austin, Ian H. Dinwoodie
Mathematics and Statistics Faculty Publications and Presentations
We describe methods to identify cylinder sets inside a basin of attraction for Boolean dynamics of biological networks. Such sets are used for designing regulatory interventions that make the system evolve towards a chosen attractor, for example initiating apoptosis in a cancer cell. We describe two algebraic methods for identifying cylinders inside a basin of attraction, one based on the Groebner fan that finds monomials that define cylinders and the other on primary decomposition. Both methods are applied to current examples of gene networks.
A Rank 7 Pfaffian System On A 15-Dimensional Manifold With F4 Symmetry Algebra,
2015
Utah State University
A Rank 7 Pfaffian System On A 15-Dimensional Manifold With F4 Symmetry Algebra, Ian M. Anderson
Tutorials on... in 1 hour or less
Let I be a differential system on a manifold M. The infinitesimal symmetry algebra of I is the set of all vectors fields X on M such that preserve I. In this worksheet we present an example, due to E. Cartan of a rank 7 Pfaffian system on a 15-dimensional manifold whose infinitesimal symmetry algebra is the split real form of the exceptional Lie algebra f4 .
Cartan Involutions And Cartan Decompositions Of A Semi-Simple Lie Algebra,
2015
Utah State University
Cartan Involutions And Cartan Decompositions Of A Semi-Simple Lie Algebra, Ian M. Anderson
Tutorials on... in 1 hour or less
In this worksheet we shall review the basic definitions and properties of Cartan involutions and Cartan decompositions and illustrate these using the DifferentialGeometry software package for Lie algebras.
Interpreting Ulysses Data Using Inverse Scattering Theory: Oblique Alfven Waves,
2015
Embry-Riddle Aeronautical University - Daytona Beach
Interpreting Ulysses Data Using Inverse Scattering Theory: Oblique Alfven Waves, Harry R. Wheeler, M A. Reynolds, Robert L. Hamilton
Faculty Publications - Department of Mathematics
Solitary wave structures observed by the Ulysses spacecraft in the solar wind were analyzed using both inverse scattering theory as well as direct numerical integration of the derivative nonlinear Schrodinger (DNLS) equation. Several of these structures were found to be consistent with soliton solutions of the DNLS equation. Such solitary structures have been commonly observed in the space plasma environment and may, in fact, be longlived solitons. While the generation of these solitons may be due to an instability mechanism, e.g., the mirror instability, they may be observable far from the source region due to their coherent nature.
Quantum And Post-Newtonian Effects In The Anomalistic Period And The Mean Motion Of Celestial Bodies,
2015
Wilfrid Laurier University
Quantum And Post-Newtonian Effects In The Anomalistic Period And The Mean Motion Of Celestial Bodies, Ioannis Haranas, Omiros Ragos, Ioannis Gkigkitzis, Ilias S. Kotsireas
Physics and Computer Science Faculty Publications
We study the motion of a secondary celestial body under the influence of the corrected gravitational force of a primary. We study the effect of quantum and relativistic corrections to the gravitational potential of a primary body acting on the orbiting body. More specifically, two equations are derived to approximate the perigee/perihelion/periastron time rate of change and its total variation over one revolution (i.e., the difference between the anomalistic period and the Keplerian period) under the influence of the quantum as well as post-Newtonian accelerations. Numerical results have been obtained for the artificial Earth satellite Molnya, Mercury, and, finally, the …
Unit Origami: Star-Building On Deltahedra,
2015
Bridgewater State University
Unit Origami: Star-Building On Deltahedra, Heidi Burgiel
Mathematics Faculty Publications
This workshop provides instructions for folding the star-building unit – a modification of the Sonobe module for unit origami. Geometric questions naturally arise during this process, ranging in difficulty from middle school to graduate levels. Participants will learn to fold and assemble star-building units, then explore the structure of the eight strictly convex deltahedra.
Letters To Joel,
2015
Otterbein University
Letters To Joel, David J. Stucki, Joel M. Stucki
Mathematics Faculty Scholarship
A professor and his students answer his brother’s question: Is mathematics art?
Being Smart About Parts,
2015
University of San Francisco
Being Smart About Parts, Nathaniel Stevens, S H. Steiner, R J. Mackay
Mathematics
When conducting a measurement system assessment study, practitioners want as precise an estimate of the true repeatability and reproducibility (R&R) as possible so they can correctly decide whether the measurement system is acceptable. They are, however, faced with cost and time constraints that restrict the number of parts and repeated measurements that can be used in the study. By incorporating freely available production measurements (baseline data), they can reduce the number of parts in the study to two or three and still obtain a better estimate of the R&R than they would have otherwise. To avoid bias, they must ensure …
Assessing Agreement Between Two Measurement Systems: An Alternative To The Limits Of Agreement Approach,
2015
University of San Francisco
Assessing Agreement Between Two Measurement Systems: An Alternative To The Limits Of Agreement Approach, Nathaniel Stevens, S H. Steiner, R J. Mackay
Mathematics
The comparison of two measurement systems is important in medical and other contexts. A common goal is to decide if a new measurement system agrees suitably with an existing one, and hence whether the two can be used interchangeably. Various methods for assessing interchangeability are available, the most popular being the limits of agreement approach due to Bland and Altman. In this article, we review the challenges of this technique and propose a model-based framework for comparing measurement systems that overcomes those challenges. The proposal is based on a simple metric, the probability of agreement, and a corresponding plot which …
Flipped Calculus: A Study Of Student Performance And Perceptions,
2015
Macalester College
Flipped Calculus: A Study Of Student Performance And Perceptions, Lori B. Ziegelmeir, Chad M. Topaz
Faculty Publications
No abstract provided.
Dynamics Of Planar Systems That Model Stage-Structured Populations,
2015
Virginia Commonwealth University
Dynamics Of Planar Systems That Model Stage-Structured Populations, N. Lazaryan, Hassan Sedaghat
Mathematics and Applied Mathematics Publications
We study a general discrete planar system for modeling stage-structured populations. Our results include conditions for the global convergence of orbits to zero (extinction) when the parameters (vital rates) are time and density dependent. When the parameters are periodic we obtain weaker conditions for extinction. We also study a rational special case of the system for Beverton-Holt type interactions and show that the persistence equilibrium (in the positive quadrant) may be globally attracting even in the presence of interstage competition. However, we determine that with a sufficiently high level of competition, the persistence equilibrium becomes unstable (a saddle point) and …
Global Attractor Of Solutions Of A Rational System In The Plane,
2015
Missouri University of Science and Technology
Global Attractor Of Solutions Of A Rational System In The Plane, Miron B. Bekker, Martin Bohner, Hristo D. Voulov
Mathematics and Statistics Faculty Research & Creative Works
We consider a two-dimensional autonomous system of rational difference equations with three positive parameters. It was conjectured that every positive solution of this system converges to a finite limit. Here we confirm this conjecture, subject to an additional assumption.
2015 Oklahoma Research Day Full Program,
2015
Southwestern Oklahoma State University
2015 Oklahoma Research Day Full Program, Northeastern State University
Oklahoma Research Day Abstracts
This document contains all abstracts from the 2015 Oklahoma Research Day held at Northeastern State University.
Periodic And Chaotic Orbits Of A Discrete Rational System,
2015
Virginia Commonwealth University
Periodic And Chaotic Orbits Of A Discrete Rational System, N. Lazaryan, Hassan Sedaghat
Mathematics and Applied Mathematics Publications
We study a rational planar system consisting of one linear-affine and one linear-fractional difference equation. If all of the system’s parameters are positive (so that the positive quadrant is invariant and the system is continuous), then we show that the unique fixed point of the system in the positive quadrant cannot be repelling and the system does not have a snap-back repeller. By folding the system into a second-order equation, we find special cases of the system with some negative parameter values that do exhibit chaos in the sense of Li and Yorke within the positive quadrant of the plane.
Multiplication Rules For Schur And Quasisymmetric Schur Functions,
2015
Marshall University
Multiplication Rules For Schur And Quasisymmetric Schur Functions, Jennifer Anderson
Theses, Dissertations and Capstones
An important problem in algebraic combinatorics is finding expansions of products of symmetric functions as sums of symmetric functions. Schur functions form a well-known basis for the ring of symmetric functions. The Littlewood-Richardson rule was introduced to expand the product of two Schur functions as a positive sum of Schur functions. Remmel and Whitney introduced an algorithmic way to find the coefficients of Schur functions appearing in the expansion. Haglund et al. introduced quasisymmetric Schur functions as a refinement of Schur functions. For quasisymmetric Schur functions, the Littlewood-Richardson rule was introduced to expand the product of a Schur and quasisymmetric …
