Mathematics Commons^™

On The Regularity Radius Of Delone Sets In R3, Nikolay Dolbilin, Alexey Garber, Undine Leopold, Egon Schulte

School of Mathematical & Statistical Sciences Faculty Publications

We complete the proof of the upper bound ρ^3≤10R for the regularity radius of Delone sets in three-dimensional Euclidean space. Namely, summing up the results obtained earlier, and adding the missing cases, we show that if all 10R-clusters of a Delone set X with parameters (r,R) are equivalent, then X is a regular system.

Connections Between Pre-Service Teachers’ Mathematical Dispositions And Self-Efficacy For Teaching Mathematics, Jasmine M. Cruz, Aaron T. Wilson, Xiaohui Wang

School of Mathematical & Statistical Sciences Faculty Publications

Mathematical dispositions (MD) and self-efficacy for teaching mathematics (SEFTM) are important elements of teachers‟ beliefs that significantly influence their behaviors and educational practices in the classroom. This study looked at relationships between pre-service teachers‟ (PSTs) MD and their SEFTM in connection with other descriptors related to their progress through the teacher education program and prior mathematical experiences. Survey data were collected from 238 PSTs at a midsized university in the US. Results include the finding that PSTs‟ intended grade-level and subject approximately mirror their MD and SEFTM: those planning to be elementary school (generalist) teachers were slightly behind both middle …

Attitudes Toward Using And Teaching Confidence Intervals: A Latent Profile Analysis On Elementary Statistics Instructors, Hyung Won Kim, Woo Jin Kim, Aaron T. Wilson, Ho Kyoung Ko

School of Mathematical & Statistical Sciences Faculty Publications

The use of confidence intervals (CIs) for making a statistical inference is gaining popularity in research communities. To evaluate college statistics instructors’ readiness to teach CIs, this study explores their attitudes toward teaching CIs in elementary statistics courses, and toward using CIs in inferential statistics. Data were collected with a survey that classifies instructors’ attitudes on the basis of three previously established pedagogical components: affective, cognitive, and behavioral. Based on the survey responses from 270 participants, we created three profiles (subgroups) via latent profile analysis, and identified each profile’s pattern of attitudes toward CIs and common characteristics of the instructors …

Solving The Semidefinite Programming Relaxation Of Max-Cut Using An Augmented Lagrangian Method, Ahmed Sabah Al-Jilawi

Graduate Research Theses & Dissertations

Semidefinite programming (SDP) problems have been investigated and solved in this work. A novel approach has been introduced and validated to solve SDP relaxations of binary quadratic optimization problems. In the BiqCrunch solver, a penalty method is used to compute the solution of a semidefinite relaxation of a binary quadratic problem. This problem generates a bound on the optimal value of the original problem. A branch-and- bound approach then uses this semidefinite bound to solve the binary quadratic problems. In this study, a new approach has been developed to replace the penalty method with the augmented Lagrangian method. Also, according …

Barrier Graphs And Extremal Questions On Line, Ray, Segment, And Hyperplane Sensor Networks, Kirk Anthony Boyer

Electronic Theses and Dissertations

A sensor network is typically modeled as a collection of spatially distributed objects with the same shape, generally for the purpose of surveilling or protecting areas and locations. In this dissertation we address several questions relating to sensors with linear shapes: line, line segment, and rays in the plane, and hyperplanes in higher dimensions.

First we explore ray sensor networks in the plane, whose resilience is the number of sensors that must be crossed by an agent traveling between two known locations. The coverage of such a network is described by a particular tripartite graph, the barrier graph of the …

Solutions For Fermi Questions, May 2019: Question 1: Graduation Speeches; Question 2: Fan Propulsion, Larry Weinstein

Physics Faculty Publications

[Introduction] How many person-hoursare spent listening to graduation speeches each year? How long is this in lifetimes?

Answer: Just about everyone graduates high school and goes to their graduation, usually with guests. Only about 30% of Americans (more than 10% and less than 100% graduate college, so we will ignore those graduates. Therefore we need to estimate the number of graduating high school seniors, the number of guests per senior, and the length of the graduation speeches.

Ma 220 Supplement: Applied Calculus For Business & Life Sciences, Heather P. Lippert, Jan S. Collins

OER Main

The MA220 Supplement workbook is designed to support the concepts learned in MA220. There are business and life science applications for students majoring in business and/or life science. The MA220 supplement supports, but does not replace the textbook required for the MA220 course.