Physical Sciences and Mathematics Commons^™

Easy Steps To Success: A Graphing Calculator Guide, Lisa Yocco, Ronald Harshbarger

Lisa S. Yocco

No abstract provided.

The Erdős-Lovász Tihany Conjecture For Quasi-Line Graphs, J. Balogh, A. V. Kostochka, N. Prince, M. Stiebitz

Noah Prince

Erdös and Lovász conjectured in 1968 that for every graph G with χ(G) > ω(G) and any two integers s, t ≥ 2 with s + t = χ(G) + 1, there is a partition (S,T) of the vertex set V(G) such that χ(G[S]) ≥ s and χ(G[T]) ≥ t . Except for a few cases, this conjecture is still unsolved. In this note we prove the conjecture for quasi-line graphs and for graphs with independence number 2.

Creating A Warmer Environment For Women In The Mathematical Sciences And In Philosophy, Samantha Brennan, Rob Corless

Samantha Brennan

No abstract provided.

Characterization Of Compactly Supported Renable Splines With Integer Matrix, Tian-Xiao He, Yujing Guana

Tian-Xiao He

Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give a characterization of compactly supported M-refinable splines f and the conditions that the shifts of f form a Riesz basis.

Modern Novels: How To Make Them More Relevant To High School Students, David Wendler, '09

Leah A. Nillas

There have been numerous studies conducted researching ways to reinvent how we teach outdated texts that are increasingly losing relevance to the current generation of students because of gaps in interest and culture. Because of this irrelevancy, students do not understand these books as well and are not thinking critically about the issues that they present. My research follows along the same lines, but deals specifically with the increasing irrelevancy of modern novels. I distributed a questionnaire to the class I observe at a local high school. My findings have been that modern novels, while lacking relevance with many students, …

Properties Of Multilevel Block $\Alpha$-Circulants, William F. Trench

William F. Trench

No abstract provided.

Inverses Of Lower Triangular Toeplitz Matrices, William F. Trench

William F. Trench

No abstract provided.

On Nonautonomous Linear Systems Of Differential And Difference Equations With $R$-Symmetric Coefficient Matrices, William F. Trench

William F. Trench

No abstract provided.

Problems Of Local Fractional Definite Integral Of The One-Variable Non-Differentiable Function, Yang Xiao-Jun

Xiao-Jun Yang

It is proposed that local fractional calculas introduced by Kolwankar and Gangal is extended by the concept of Jumarie’s fractional calculus and local fractional definite integral is redefined. The properties and the theorems of local fractional calculus are discussed in this paper.

My Trig Book, Bruce Kessler

Bruce Kessler

This is the MATH 117 Trigonometry text developed by Dr. Bruce Kessler for the Gatton Academy of Math and Science at Western Kentucky University for the Academy sections of the course. The text has also been used in two online course offerings. Revised 7/19/11.

Free readers are available for all of the files that accompany the book. Mathematica Player is available at http://www.wolfram.com/products/player/. QuickTime Player is available at http://www.apple.com/quicktime/.

Diamond Theory Collections. A Collection Of Papers And Fragments Towards Diamond Theory 2007-2009, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.

Perbandingan Model Neural Network Dan Regresi Logistik Pada Kasus Masa Studi Mahasiswa Jurusan Pendidikan Matematika Fmipa Uny, Dhoriva Urwatul Wutsqa, Sri Rezeki

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Penelitian ini bertujuan untuk membandingkan model Neural Network (NN) dengan regresi logistik dalam memodelkan masalah klasifikasi pada kasus masa studi mahasiswa Jurusan Pendidikan Matematika FMIPA UNY, dan mengetahui faktor-faktor yang mempengaruhi masa studi mahasiswa Jurusan Pendidikan Matematika FMIPA UNY. Subyek penelitian ini adalah mahasiswa Jurusan Pendidikan Matematika yang lulus sejak Agustus 2001 hingga November 2005. Jumlah responden dalam penelitian ini sebanyak 319 orang. Variabel respon (Y) dalam penelitian ini adalah ketepatan masa studi. Variabel penjelasnya yaitu jenis kelamin (X1), IPK tahun pertama (X2) dan program studi (X3). Variabel penjelas dipilih berdasarkan ketersediaan data. Untuk membandingkan kedua model digunakan kriteria ketepatan …

Analisis Interaksi Genotip X Lingkungan Menggunakan Structural Equation Modeling, I Made Sumertajaya, Ahmad Ansori Matjjik, I Gede Nyoman Mindra Jaya

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Additive Main Effect and Multiplicative Model (AMMI Model) nowadays is used to asses in plant breeding, especially to asses the Genotype × Environment Interaction (GEI) on multi-environment trial. The presence of genotype × environment interaction (GEI) creates difficulties in modeling complex trait that involve sequence biological process. Coupling Structural equation modeling with AMMI was developed to analyzed genotype × environment interaction (GEI). Structural equation modeling allows us to account for underlying sequential process in plant development by incorporating intermediate variables associated with those processes in the model. With this method we can incorporating genotypic and environmental covariate in the model …

Seleksi Model Neural Network Menggunakan Inferensi Statistik Dari R^2 Increment Dan Uji Wald Untuk Peramalan Time Series Multivariat, Dhoriva Urwatul Wustqa

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Dalam makalah ini akan dibahas tentang seleksi model neural network untuk peramalan time series multivariat melalui pendekatan statistika inferensial. Pembahasan mencakup dua kajian, yaitu kajian teoritis tentang sifat asimtotis dari penduga parameter model NN dan distribusi dari statistik uji yang digunakan, dan kajian empiris berupa penerapan teori untuk membentuk prosedur pemilihan model NN untuk peramalan time series multivariat. Prosedur yang diusulkan merupakan kombinasi dari metode forward berdasarkan pada inferensia statistik kontribusi penambahan R2 increment dan metode backward dengan uji Wald. Untuk melihat efektivitas dari prosedur digunakan data simulasi. Hasil simulasi menunjukkan bahwa prosedur seleksi model dapat secara efektif diterapkan untuk …

Penghitungan Premi Untuk Asuransi Kendaraan Bermotor Berdasarkan Sejarah Frekuensi Klaim Pemegang Polis Menggunakan Analisis Bayes, Aceng Komarudin Mutaqin, Komarudin Komarudin

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Makalah ini membahas masalah penghitungan premi untuk asuransi kendaraan bermotor berdasarkan sejarah frekuensi klaim pemegang polis menggunakan analisis Bayes. Dilihat dari sudut pandang pemegang polis, premi yang dihasilkan bersifat adil, karena premi yang harus dibayarkan pada saat perpanjangan polis proporsional dengan taksiran frekuensi klaimnya. Sementara itu, dilihat dari sudut pandang perusahaan asuransi, akan menghasilkan keseimbangan finansial. Sebagai bahan aplikasi digunakan data klaim pemegang polis asuransi kendaraan bermotor dari salah satu perusahaan asuransi yang berdomisili di Bandung.
Kata kunci : sistem bonus malus, analisis Bayes, asuransi kendaraan bermotor, frekuensi klaim

Pemodelan Persamaan Struktural Dengan Analisis Linear Structure Relationship (Lisrel), Ida Mariati Hutabarat

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

The structural equation modeling is a part of statistics which can be used to analyze relation which is developed through one or more dependent variable which is explained by one or more independent variable, and at the same time one or more independent variable acts as an independent variable for the other dependent variable. In the covariance structure based structural equation modeling the analysis which is frequently used is the Linear Structure Relationship (LISREL) analysis. The aim of this study is to learn the accuracy and consistence of the estimated values of parameters of structural equation model using LISREL analysis. …

Best Proximity Pairs Theorems For Continuous Set-Valued Maps, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal

Mathematics and System Engineering Faculty Publications

A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem. Copyright © 2008 A. Amini-Harandi et al.

Topological Structures In The Equities Market Network, Gregory Leibon, Scott Pauls, Daniel Rockmore, Robert Savell

Dartmouth Scholarship

We present a new method for articulating scale-dependent topological descriptions of the network structure inherent in many complex systems. The technique is based on “partition decoupled null models,” a new class of null models that incorporate the interaction of clustered partitions into a random model and generalize the Gaussian ensemble. As an application, we analyze a correlation matrix derived from 4 years of close prices of equities in the New York Stock Exchange (NYSE) and National Association of Securities Dealers Automated Quotation (NASDAQ). In this example, we expose (i) a natural structure composed of 2 interacting partitions of …

Predictability In The Indian Stock Market: A Study From An Econometric Perspective., Debabrata Mukhopadhyay Dr.

Doctoral Theses

No abstract provided.

Coincidence Point, Best Approximation, And Best Proximity Theorems For Condensing Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Ravi P. Agarwal, Donal O'Regan

Mathematics and System Engineering Faculty Publications

In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application, we derive a coincidence point theorem for nonself-condensing set-valued maps.

A Trust-Based Secure Service Discovery (Tssd) Model For Pervasive Computing, Sheikh Iqbal Ahamed, Moushumi Sharmin

Mathematics, Statistics and Computer Science Faculty Research and Publications

To cope with the challenges posed by device capacity and capability, and also the nature of ad hoc networks, a Service discovery model is needed that can resolve security and privacy issues with simple solutions. The use of complex algorithms and powerful fixed infrastructure is infeasible due to the volatile nature of pervasive environment and tiny pervasive devices. In this paper, we present a trust-based secure Service discovery model, TSSD (trust-based secure service discovery) for a truly pervasive environment. Our model is a hybrid one that allows both secure and non-secure discovery of services. This model allows Service discovery and …

Delay-Induced Destabilization Of Entrainment Of Nerve Impulses On Ephaptically Coupled Nerve Fibers, Evangelos A. Coutsias, Mohit H. Adhikari, John K. Mciver

Branch Mathematics and Statistics Faculty and Staff Publications

We study the effect of delay on the synchronization of two nerve impulses traveling along two ephaptically coupled, unmyelinated nerve fibers. The system is modeled as a pair of delay-coupled Fitzhugh-Nagumo equations. A multiple-scale perturbation approach is used for the analysis of these equations in the limit of weak coupling. In the absence of delay, two pulses with identical speeds are shown to be entrained precisely. However, as the delay is increased beyond a critical value, we show that this precise entrainment becomes unstable. We make quantitative estimates for the actual values of delay at which this can occur in …

Restrained And Other Domination Parameters In Complementary Prisms., Wyatt Jules Desormeaux

Electronic Theses and Dissertations

In this thesis, we will study several domination parameters of a family of graphs known as complementary prisms. We will first present the basic terminology and definitions necessary to understand the topic. Then, we will examine the known results addressing the domination number and the total domination number of complementary prisms. After this, we will present our main results, namely, results on the restrained domination number of complementary prisms. Subsequently results on the distance - k domination number, 2-step domination number and stratification of complementary prisms will be presented. Then, we will characterize when a complementary prism is Eulerian or …

Unfolding Convex Polyhedra Via Quasigeodesic Star Unfoldings, Jin-Ichi Itoh, Joseph O'Rourke, Costin Vîlcu

Computer Science: Faculty Publications

We extend the notion of a star unfolding to be based on a simple quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron P to a simple, planar polygon: shortest paths from all vertices of P to Q are cut, and all but one segment of Q is cut.

Singularities Of Hinge Structures, Ciprian Borcea, Ileana Streinu

Computer Science: Faculty Publications

Motivated by the hinge structure present in protein chains and other molecular conformations, we study the singularities of certain maps associated to body-and-hinge and panel-and-hinge chains. These are sequentially articulated systems where two consecutive rigid pieces are connected by a hinge, that is, a codimension two axis. The singularities, or critical points, correspond to a dimensional drop in the linear span of the axes, regarded as points on a Grassmann variety in its Pl¨ucker embedding. These results are valid in arbitrary dimension. The three dimensional case is also relevant in robotics.

Recursive Dispersion Relations In One-Dimensional Periodic Elastic Media, Ani P. Velo, George A. Gazonas, Erwin Bruder, Nancy Rodriguez

Mathematics: Faculty Scholarship

A frequency bandgap is a range of wave frequencies that are prohibited from passing through a medium. The dispersion relation, which links the frequency to the wave number, enables us to illustrate the bandgaps. In [E. H. Lee, “A survey of variational methods for elastic wave propagation analysis in composites with periodic structures,” in Dynamics of Composite Materials, E. H. Lee, ed., ASME, New York, 1972, pp. 122–138] and [E. H. Lee and W. H. Yang, SIAM J. Appl. Math., 25 (1973), pp. 492–499] the dispersion relation was studied theoretically for the one-dimensional periodic structure made of two materials …

Locality And Stability Of The Cascades Of Two-Dimensional Turbulence, Eleftherios Gkioulekas

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

We investigate and clarify the notion of locality as it pertains to the cascades of two-dimensional turbulence. The mathematical framework underlying our analysis is the infinite system of balance equations that govern the generalized unfused structure functions, first introduced by L’vov and Procaccia. As a point of departure we use a revised version of the system of hypotheses that was proposed by Frisch for three-dimensional turbulence. We show that both the enstrophy cascade and the inverse energy cascade are local in the sense of nonperturbative statistical locality. We also investigate the stability conditions for both cascades. We have shown that …

Robust Stability And Optimality Conditions For Parametric Infinite And Semi-Infinite Programs, M J. Cánovas, M A. Lopez, Boris S. Mordukhovich, J Parra

Mathematics Research Reports

This paper primarily concerns the study of parametric problems of infinite and semi-infinite programming, where functional constraints are given by systems of infinitely many linear inequalities indexed by an arbitrary set T, where decision variables run over Banach (infinite programming) or finite-dimensional (semi-infinite case) spaces, and where objectives are generally described by nonsmooth and nonconvex cost functions. The parameter space of admissible perturbations in such problems is formed by all bounded functions on T equipped with the standard supremum norm. Unless the index set T is finite, this space is intrinsically infinite-dimensional (nonreflexive and nonseparable) of the l(infinity)-type. By using …

Sublimital Analysis, Thomas Q. Sibley

Mathematics Faculty Publications

The Bolzano-Weierstrass theorem asserts, under appropriate circumstances, the convergence of some subsequence of a sequence. While this famous theorem ignores the actual limit of the subsequence, it is natural to investigate such limits. This note characterizes the set of possible limits of subsequences of a given sequence.

Partial Automorphism Semigroups, Jennifer Chubb, Valentina Harizanov, Andrei Morozov, Sarah Pingrey, Eric Ufferman

Mathematics

We study the relationship between algebraic structures and their inverse semigroups of partial automorphisms. We consider a variety of classes of natural structures including equivalence structures, orderings, Boolean algebras, and relatively complemented distributive lattices. For certain subsemigroups of these inverse semigroups, isomorphism (elementary equivalence) of the subsemigroups yields isomorphism (elementary equivalence) of the underlying structures. We also prove that for some classes of computable structures, we can reconstruct a computable structure, up to computable isomorphism, from the isomorphism type of its inverse semigroup of computable partial automorphisms.