Physical Sciences and Mathematics Commons^™

Rank-Based Test Procedures For Interaction In The Two-Way Layout With One Observation Per Cell, Brad Hartlaub

Brad Hartlaub

ABSTRACT New aligned-rank test procedures for the composite null hypothesis of no interaction effects (without placing restrictions on the two main e#ects) against appropriate composite general alternatives are developed for the standard two-way layout with a single observation per cell. Relative power performances of the two new aligned-rank procedures and existing tests due to Tukey (1949) and de Kroon & van der Laan (1981) are examined via Monte Carlo simulation. Extensive power studies conducted on the 56and59two-way layouts with one observation per cell show superior performance of the new procedures for a variety of interaction e#ects. Simulated critical values for …

Recommended Practice For Use Of Electrostatic Analyzers In Electric Propulsion Testing Read More: Http://Arc.Aiaa.Org/Doi/Abs/10.2514/1.B35413, Shawn C. Farnell

Shawn C Farnell

Electrostatic analyzers are used in electric propulsion to measure the energy per unit charge E/q" role="presentation" style="display: inline; line-height: normal; font-size: 16px; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px 2px 0px 0px; margin: 0px; font-family: "Lucida Grande", "Lucida Sans", Arial, Helvetica, sans-serif; background-color: rgb(37, 79, 98); position: relative;">E/qE/q distribution of ion and electron beams: in the downstream region of thrusters, for example. This paper serves to give an overview of the most fundamental, yet most widely used, types of electrostatic analyzer designs. Analyzers are grouped into …

Optimal Binomial, Poisson, And Normal Left-Tail Domination For Sums Of Nonnegative Random Variables, Iosif Pinelis

Iosif Pinelis

Exact upper bounds on the generalized moments E ƒ (S_n) of sums S_n of independent nonnegative random variables X_i for certain classes Ƒ of nonincreasing functions ƒ are given in terms of (the sums of) the first two moments of the X_i’s. These bounds are of the form Eƒ(η), where the random variable η is either binomial or Poisson depending on whether n is fixed or not. The classes Ƒ contain, and are much wider than, the class of all decreasing exponential functions. As corollaries of these results, optimal in a certain sense …

Geometric Limits Of Julia Sets Of Maps Z^N + Exp(2Πiθ) As N → ∞, Scott Kaschner, Reaper Romero, David Simmons

Scott Kaschner

We show that the geometric limit as n → ∞ of the Julia sets J(Pn,c) for the maps Pn,c(z) = zn + c does not exist for almost every c on the unit circle. Furthermore, we show that there is always a subsequence along which the limit does exist and equals the unit circle.

Rational Map Of Cp^2 With No Invariant Foliation, Scott Kaschner, Rodrigo Perez, Roland Roeder

Scott Kaschner

Conference Poster presented at: Midwest Dynamical Systems Conference, Champaign/Urbana, IL November 1-3, 2013.

Explicating A Mechanism For Conceptual Learning: Elaborating The Construct Of Reflective Abstraction, Martin Simon, Ron Tzur, Karen Heinz, Margaret Kinzel

Ron Tzur

We articulate and explicate a mechanism for mathematics conceptual learning that can serve as a basis for the design of mathematics lessons. The mechanism, reflection on activity-effect relationships, addresses the learning paradox (Pascual-Leone, 1976), a paradox that derives from careful attention to the construct of assimilation (Piaget, 1970). The mechanism is an elaboration of Piaget's (2001) reflective abstraction and is potentially useful for addressing some of the more intractable problems in teaching mathematics. Implications of the mechanism for lesson design are discussed and exemplified. (Contains 2 figures and 9 footnotes.)

An Account Of A Teacher's Perspective On Learning And Teaching Mathematics: Implications For Teacher Development, Ron Tzur, Martin Simon, Karen Heinz, Margaret Kinzel

Ron Tzur

This report presents an account of one teacher's mathematics teaching and a perspective that underlies his teaching. Nevil was a fifth grade teacher participating in current mathematics education reforms in the United States. Through the account, we make distinctions about teachers' thinking and practice that can inform teacher education efforts. We constructed an account by analyzing four sets of classroom observations and interviews. We observed that Nevil decomposed his understandings of the mathematics into smaller components and connections among those components. He created situations that he believed made those components and connections transparent and attempted to elicit those connections from …

Conventions, Definitions, Identities, And Other Useful Formulae, Robert Mcnees

Robert A McNees IV

As the name suggests, these notes contain a summary of important conventions, definitions, identities, and various formulas that I often refer to. They may prove useful for researchers working in General Relativity, Supergravity, String Theory, Cosmology, and related areas.

Bipartite Probe Interval Graphs, Interval Point Bigraphs, And Circular Arcgraphs, David Brown, J. Lundgren

David C. Brown

No abstract provided.

Forbidden Subgraph Characterization Of Bipartite Unit Probe Interval Graphs, David Brown, L. Langley

David C. Brown

No abstract provided.

Fixed Point Theory For Non-Self Maps, Linda Saliga

Linda Saliga

No abstract provided.

Mathematical Classification Of Tight Junction Protein Images, Katherine Ogawa, Caitlin Troyer, Robert Doss, Farzan Aminian, Eduardo Balreira, Jonathan King

Eduardo Cabral Balreira

We present the rationale for the development of mathematical features used for classification of images stained for selected tight junction proteins. The project examined localization of zonula occludens-1, claudin-1 and F-actin in a model epithelium, Madin-Darby canine kidney II cells. Cytochalasin D exposure was used to perturb junctional localization by actin cytoskeleton disruption. Mathematical features were extracted from images to reliably reveal characteristic information of the pattern of protein localization. Features, such as neighborhood standard deviation, gradient of pixel intensity measurement and conditional probability, provided meaningful information to classify complex image sets. The newly developed mathematical features were used as …

Session D-4: Coolhub.Imsa: Collaborative Innovation In Action, Carl Heine, James Gerry

Carl Heine

Transform STEM teaching and learning with CoolHub.IMSA, a free virtual platform where youth and adults collaborate on projects they create. Explore the site through the eyes of project members and discover powerful ways to collaborate, innovate and network for learning.

Valuing Initial Intellectual Capital Contribution In New Ventures - A Short Technical Note, Peter Blood, Kuldeep Kumar, Sukanto Bhattacharya

Kuldeep Kumar

In this short research note, we add to the existing technical literature on venture valuations. We posit and numerically demonstrate a simple technique of valuing intellectual contribution to a new venture in the form of initial know-how. Such valuation is essential in many practical venture valuation situations where the sources of the intellectual and cash contributions are separate thus necessitating a rational model for a fair apportioning of equity.

Solutions Of Differential Inequalities And Existence Theorems For Multi-Point Boundry Value Problems, Paul Eloe

Paul W. Eloe

No abstract provided.

To Flip Or Not To Flip: A Study Of Student Performance And Perceptions In Applied Calculus, Lori Ziegelmeier

Lori Beth Ziegelmeier

No abstract provided.

Solutions To A Partial Integro-Differential Parabolic System Arising In The Pricing Of Financial Options In Regime- Switching Jump Diffusion Models, Ionut Florescu, Ruihua Liu, Maria Mariani

Ruihua Liu

No abstract provided.

A Math Circles Camp At Colorado State University, Lori Ziegelmeier

Lori Beth Ziegelmeier

No abstract provided.

Calculus: Graphical, Numerical, Algebraic, T. Finney, F. Demana, B. Waits, D. Kennedy, David Bressoud

David Bressoud

No abstract provided.

On The Data Of Images, Lori Ziegelmeier

Lori Beth Ziegelmeier

No abstract provided.

A Study Of Flipping Vs. Not Flipping In Applied Calculus, Lori Ziegelmeier

Lori Beth Ziegelmeier

No abstract provided.

Session A-1: Problem Solving Through Graph Theory, Noah Prince

Noah Prince

Graph theory is an area of mathematics often not encountered before college, and not always even there. Nonetheless, it is full of problems that novices can quickly understand and begin to figure out. Often, sixty seconds of introduction to such a problem can lead to literally an hour of discussion as students engage in finding solutions. In this presentation, I will offer some sample problems and discuss how to use them with students in middle or high school.

An Algorithm In Computational Geometry And An Exploration In Computational Topology, Lori Ziegelmeier

Lori Beth Ziegelmeier

No abstract provided.

A Quadratic Program To Stratify High Dimensional Data Based On Proximity To The Convex Hull, Lori Ziegelmeier

Lori Beth Ziegelmeier

No abstract provided.

Optimised Random Mutations For Evolutionary Algorithms, Sean Mcgerty, Frank Moisiadis

Frank Moisiadis

Digital Images: They're Not Just For Viewing, Lori Ziegelmeier

Lori Beth Ziegelmeier

No abstract provided.

Mathematics Libguide, Sandra Barclay

Sandra Barclay

Welcome to the Horace W. Sturgis Library and the Mathematics Libguide at Kennesaw State University! To get started with your math research, this is the place to go. We hope you will find this information helpful. Please let us know what other resources you could use.

Nonlocal Aggregation Equations: A Primer Of Swarm Equilibria, Chad Topaz, Andrew Bernoff

Chad M. Topaz

No abstract provided.

College Algebra In Context With Applications To The Managerial, Life, And Social Sciences, Lisa Yocco, Ronald Harshbarger

Lisa S. Yocco

No abstract provided.

On The Construction Of Number Sequence Identities, Tian-Xiao He, Wun-Seng Chou

Tian-Xiao He

To construct a class of identities for number sequences generated by linear recurrence relations. An alternative method based on the generating functions of the sequences is given. The equivalence between two methods for linear recurring sequences are also shown. However, the second method is not limited to the linear recurring sequences, which can be used for a wide class of sequences possessing rational generating functions. As examples, Many new and known identities of Stirling numbers of the second kind, Pell numbers, Jacobsthal numbers, etc., are constructed by using our approach. Finally, we discuss the hyperbolic expression of the identities of …