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Approximate Mean-Field Equations Of Motion For Quasi-Two-Dimensional Bose-Einstein Condensates, Mark Edwards, Michael Krygier, Hadayat Seddiqi, Brandon Benton, Charles W. Clark

Physics & Astronomy: Faculty Publications

We present a method for approximating the solution of the three-dimensional, time-dependent Gross-Pitaevskii equation (GPE) for Bose-Einstein-condensate systems where the confinement in one dimension is much tighter than in the other two. This method employs a hybrid Lagrangian variational technique whose trial wave function is the product of a completely unspecified function of the coordinates in the plane of weak confinement and a Gaussian in the strongly confined direction having a time-dependent width and quadratic phase. The hybrid Lagrangian variational method produces equations of motion that consist of (1) a two-dimensional (2D) effective GPE whose nonlinear coefficient contains the width …

Newsroom, Georgia Southern University

Newsroom (2006-2023)

• Georgia Southern University Announces Record Fall Enrollment of 20,574 Students
• Georgia Southern University Names Mohammad Davoud, Ph.D., P.E., Founding Dean of the Allen E. Paulson College of Engineering & Information Technology

Southern Educator, Georgia Southern University

Southern Educator

• Online Learning Research Earns Top Award for COE Faculty
• NCATE Seeks Comments
• Honors Students Share Research
• Graduate Center Staff Present at Conference
• COE Faculty Brings More Than $1 Million to Middle Georgia Mathematics Teacher Development
• STEM Institute Names Affiliates, Includes 13 COE Faculty
• Around COE
• COE Alums Named Teacher of the Year

Southern Educator, Georgia Southern University

College of Education: News & Publications (2003-2023)

• Online Learning Research Earns Top Award for COE Faculty
• NCATE Seeks Comments
• Honors Students Share Research
• Graduate Center Staff Present at Conference
• COE Faculty Brings More Than $1 Million to Middle Georgia Mathematics Teacher Development
• STEM Institute Names Affiliates, Includes 13 COE Faculty
• Around COE
• COE Alums Named Teacher of the Year

Pay For Summer Teaching, Jennie Dilworth

Faculty Senate: Index

No abstract provided.

Newsroom, Georgia Southern University

Newsroom (2006-2023)

• Georgia Southern University to Host Georgia Regional Astronomy Meeting Oct. 26-27

College Of Education News, College Of Education, Georgia Southern University

College of Education News

• COE Faculty Brings More Than $1 Million to Middle Georgia Mathematics Teacher Development

The George-Anne, Georgia Southern University

The George-Anne

• Lacking Alert Explained
• News
• Opinions
• Arts & Entertainment
• Classifieds
• Puzzles/ Comics
• Sports

Cosm News, Georgia Southern University

College of Science & Mathematics: News & Publications (2012-2022)

• 2012-2013 COSM Research Award Winners

College Of Education News, College Of Education, Georgia Southern University

College of Education: News & Publications (2003-2023)

• COE Faculty Brings More Than $1 Million to Middle Georgia Mathematics Teacher Development

The Inkwell, Armstrong Atlantic State University

The Inkwell

No abstract provided.

Newsroom, Georgia Southern University

Newsroom (2006-2023)

• Georgia Southern University STEM Institute Names Affiliates
• Religious Scholar to Present on Faiths of Postwar Presidents at Georgia Southern University

College Of Education News, College Of Education, Georgia Southern University

College of Education: News & Publications (2003-2023)

• STEM Institute Names Affiliates, Includes 13 COE Faculty

Hot Doc: Science.Gov Announces Spanish Version, Multimedia , And Enhanced Search Features, Georgia Southern University, Zach S. Henderson Library

Library Publications (1999-2023)

• Hot Doc: Science.gov Announces Spanish Version, Multimedia , and Enhanced Search Features

Newsroom, Georgia Southern University

Newsroom (2006-2023)

• Georgia Southern University College of Science & Mathematics to Host Common Grounds Research Day
• Georgia Southern University MBA Ranked One of the Nation’s Top Online MBA Programs

Bfs News Online, Georgia Southern University

Art: News & Publications (2008-2023)

• Marc Moulton receives Faculty Award for Excellence in Research/Creative Scholarly Activity

College Of Education News, College Of Education, Georgia Southern University

College of Education News

• COE Faculty Working with Georgia Tech on "SLIDER" Project, NSF Grant

College Of Education News, College Of Education, Georgia Southern University

College of Education: News & Publications (2003-2023)

• COE Faculty Working with Georgia Tech on "SLIDER" Project, NSF Grant

A Non-Parametric Approach To Change-Point Detection In Cross-Asset Correlations, L. Kaili Diamond

College of Graduate Studies: Theses & Dissertations

In this thesis we explore the problem of detecting change-points in cross-asset correlations using a non-parametric approach. We began by comparing and contrasting several common methods for change-point detection as well as methods for measuring correlation. We finally settle on a statistic introduced in early 2012 by Herold Dehling et.al. and test this statistic against real world financial data. We provide the estimated change-point for this data as well as the asymptotic p-value associated with this statistic. Once this process was complete we went on to use simulated data to measure the accuracy, power, and type 1 error associated with …

Cycles, The Degree Distance, And The Wiener Index, Daniel Gray, Hua Wang

Mathematical Sciences: Faculty Publications

The degree distance of a graph G is D'(G)=(1/2)∑ⁿ_i=1∑ⁿ_j=1(d_i+d_j)L_{i ,j}, where d_i and d_j are the degrees of vertices v_i, v_j ∈ V (G), and L_i,j is the distance between them. The Wiener index is defined as W(G)=(1/2)∑ⁿi₌₁ ∑ⁿ_j-1L_{i, j}. An elegant result (Gutman; Klein, Mihalic, Plavsic and Trinajstic) is known regarding their correlation, that D'(T)=4W(T)-n(n-1)for a tree T with n vertices. In …

Finding A Better Confidence Interval For A Single Regression Changepoint Using Different Bootstrap Confidence Interval Procedures, Bodhipaksha Thilakarathne

College of Graduate Studies: Theses & Dissertations

Recently a number of papers have been published in the area of regression changepoints but there is not much literature concerning confidence intervals for regression changepoints. The purpose of this paper is to find a better bootstrap confidence interval for a single regression changepoint. ("Better" confidence interval means having a minimum length and coverage probability which is close to a chosen significance level). Several methods will be used to find bootstrap confidence intervals. Among those methods a better confidence interval will be presented.

Eagle Educator, Georgia Southern University

College of Education: News & Publications (2003-2023)

• Dean's Message
• COE's Graduate programs
• Interdisciplinary STEM Education Institute Established
• New Goizueta Distinguished Chair in Education named

Armstrong Magazine, Marketing & Communications Department, Armstrong State University

Armstrong News & Publications: Armstrong Magazine (Archived)

No abstract provided.

Integer Solutions To Optimization Problems And Modular Sequences Of Nexus Numbers, Jeremy T. Davis

College of Graduate Studies: Theses & Dissertations

In this thesis, we examine the use of integers through two ideas. As mathematics teachers, we prefer students not use calculators on assessments. In order to require this, students compute the problems by hand. We take a look at the classic Calculus I optimization box problem while restricting values to integers. In addition, sticking with the integer theme, we take a new look at the nexus numbers. Nexus numbers are extensions of the hex and rhombic dodecahedral numbers. We put these numbers into a sequence, and through a few computations of modular arithmetic, we analyze the sequences and their patterns …

Integer Compositions, Gray Code, And The Fibonacci Sequence, Linus Lindroos

College of Graduate Studies: Theses & Dissertations

In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.

Compositions, Bijections, And Enumerations, Charles R. Dedrickson Iii

College of Graduate Studies: Theses & Dissertations

In this thesis we give an introduction to colored-compositions of an integer. This is a generalization of traditional integer compositions, and we show a few results for n-color compositions which are analogous to regular compositions with both combinatorial and analytic proofs. We also show several bijections between various types of compositions to certain types of numeric strings, and provide a generalization of a classic bijection between compositions and binary strings.

Cosm News, Georgia Southern University

College of Science & Mathematics: News & Publications (2012-2022)

• Two Georgia Southern University ROTC Cadets Join a Select Few on International CULP Mission

The George-Anne, Georgia Southern University

The George-Anne

• Alpha Sigma Phi Set to Debut for Greek Life
• News
• Opinions
• Arts & Entertainment
• Classifieds
• Puzzles/ Comics
• Sports

The Inkwell, Armstrong Atlantic State University

The Inkwell

No abstract provided.

Southern Educator, Georgia Southern University

Southern Educator

• "Academically Adrift" Co-author to Speak
• New STEM Institute Wins First Race to the Top Grant
• Faculty News