# Mathematics Commons™

## All Articles in Mathematics

13773 full-text articles. Page 1 of 398.

Three Environmental Fluid Dynamics Papers, 2018 Utah State University

#### Three Environmental Fluid Dynamics Papers, Eden Furtak-Cole

##### All Graduate Theses and Dissertations

Three papers are presented, applying computational fluid dynamics methods to fluid flows in the geosciences. In the first paper, a numerical method is developed for single phase potential flow in the subsurface. For a class of monotonically advancing flows, the method provides a computational savings as compared to classical methods and can be applied to problems such as forced groundwater recharge. The second paper investigates the shear stress reducing action of an erosion control roughness array. Incompressible Naiver-Stokes simulations are performed for multiple wind angles to understand the changing aerodynamics of individual and grouped roughness elements. In the third paper ...

The Integer-Magic Spectra And Null Sets Of The Cartesian Product Of Trees, 2018 Hong Kong Baptist University

#### The Integer-Magic Spectra And Null Sets Of The Cartesian Product Of Trees, Wai Chee Shiu, Richard M. Low

##### HKBU Staff Publication

No abstract provided.

2018 The Graduate Center, City University of New York

#### Infinitely Many Solutions To Asymmetric, Polyharmonic Dirichlet Problems, Edger Sterjo

##### All Dissertations, Theses, and Capstone Projects

In this dissertation we prove new results on the existence of infinitely many solutions to nonlinear partial differential equations that are perturbed from symmetry. Our main theorems focus on polyharmonic Dirichlet problems with exponential nonlinearities, and are now published in Topol. Methods Nonlinear Anal. Vol. 50, No.1, (2017), 27-63. In chapter 1 we give an introduction to the problem, its history, and the perturbation argument itself. In chapter 2 we prove the variational principle of Bolle on the behavior of critical values under perturbation, and the variational principle of Tanaka on the existence of critical points of large augmented ...

Autologous Stem Cell Transplant Is Feasible In Very Elderly Patients With Lymphoma And Limited Comorbidity, 2018 Weill Cornell Medical College

#### Autologous Stem Cell Transplant Is Feasible In Very Elderly Patients With Lymphoma And Limited Comorbidity, Rebecca L. Elstrom, Peter Martin, Sandra M. Hurtado Rua, Tsiporah B. Shore, Richard R. Furman, Jia Ruan, Roger N. Pearse, Morton Coleman, Tomer Mark, John P. Leonard, Usama Gergis

##### Peter Martin

In patients with recurrent Hodgkin or non-Hodgkin's lymphoma, autologous stem cell transplantation (ASCT) can offer potential for cure or long-term remission. Because of potential toxicity, elderly patients are usually not considered candidates, but data regarding tolerability and efficacy in this group are lacking. The transplant database at Weill Cornell Medical College was reviewed to identify patients with lymphoma undergoing ASCT at age 69 or greater. Clinical data and comorbidities were correlated with outcome. Twenty-one patients were identified. Sixteen of 19 evaluable patients (76%) achieved complete remission following ASCT, while 2 patients died before response assessment. Median progression-free survival following ...

Pythagorean Combinations For Lego Robot Building., 2018 Selected Works

#### Pythagorean Combinations For Lego Robot Building., Ronald I. Greenberg

##### Ronald Greenberg

This paper provides tips for LEGO robot construction involving bracing or gear meshing along a diagonal using standard Botball kits.

Some Applications Of Sophisticated Mathematics To Randomized Computing, 2018 Selected Works

#### Some Applications Of Sophisticated Mathematics To Randomized Computing, Ronald I. Greenberg

##### Ronald Greenberg

No abstract provided.

2018 Selected Works

#### Pythagorean Approximations For Lego: Merging Educational Robot Construction With Programming And Data Analysis, Ronald I. Greenberg

##### Ronald Greenberg

Abstract. This paper can be used in two ways. It can provide reference information for incorporating diagonal elements (for bracing or gear meshing) in educational robots built from standard LEGO kits. Alternatively, it can be used as the basis for an assignment for high school or college students to recreate this information; in the process, students will exercise skills in both computer programming and data analysis. Using the paper in the second way can be an excellent integrative experience to add to an existing course; for example, the Exploring Computer Science high school curriculum concludes with the units “Introduction to ...

Educational Magic Tricks Based On Error-Detection Schemes, 2018 Loyola University Chicago

#### Educational Magic Tricks Based On Error-Detection Schemes, Ronald I. Greenberg

##### Ronald Greenberg

Magic tricks based on computer science concepts help grab student attention and can motivate them to delve more deeply. Error detection ideas long used by computer scientists provide a rich basis for working magic; probably the most well known trick of this type is one included in the CS Unplugged activities. This paper shows that much more powerful variations of the trick can be performed, some in an unplugged environment and some with computer assistance. Some of the tricks also show off additional concepts in computer science and discrete mathematics.

An Investigation Of Montmort's "Probleme De Recontres" And Generalizations, 2018 Loyola University Chicago

#### An Investigation Of Montmort's "Probleme De Recontres" And Generalizations, Ronald I. Greenberg

##### Ronald Greenberg

I have investigated a problem which may be phrased in many ways, such as finding the probability of answering a given number of questions correctly on a randomly-completed matching test which may have a number of extra "dud" answers. I have determined such probabilities, the average number of correct answers, and other allied results. I have also investigated a related problem involving the number of ways of choosing a different element from each of a certain collection of sets.

Penalized Spline Estimation In The Partially Linear Model, 2018 Cedarville University

#### Penalized Spline Estimation In The Partially Linear Model, Ashley D. Holland

##### Ashley D. Holland, Ph.D.

Penalized spline estimators have received considerable attention in recent years because of their good finite-sample performance, especially when many regressors are employed. In this paper, we propose a penalized B-spline estimator in the context of the partially linear model and study its asymptotic properties under a two-sequence asymptotics: both the number of knots and the penalty factor vary with the sample size. We establish asymptotic distributions of the estimators of both the parametric and nonparametric components in the model. In addition, as a previous step, we obtain the rate of convergence of the estimator of the regression function in a ...

On The Inverse Of A Class Of Weighted Graphs, 2018 Indian Statistical Institute - Delhi Center

#### On The Inverse Of A Class Of Weighted Graphs, Swarup Kumar Panda, Sukanta Pati

##### Electronic Journal of Linear Algebra

In this article, only connected bipartite graphs $G$ with a unique perfect matching $\c{M}$ are considered. Let $G_\w$ denote the weighted graph obtained from $G$ by giving weights to its edges using the positive weight function $\w:E(G)\ar (0,\ity)$ such that $\w(e)=1$ for each $e\in\c{M}$. An unweighted graph $G$ may be viewed as a weighted graph with the weight function $\w\equiv\1$ (all ones vector). A weighted graph $G_\w$ is nonsingular if its adjacency matrix $A(G_\w)$ is nonsingular. The {\em inverse} of a nonsingular weighted graph ...

On The Second Least Distance Eigenvalue Of A Graph, 2018 College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang 830046, P.R.China.

#### On The Second Least Distance Eigenvalue Of A Graph, Xueyi Huang, Qiongxiang Huang, Lu Lu

##### Electronic Journal of Linear Algebra

Let $G$ be a connected graph on $n$ vertices, and let $D(G)$ be the distance matrix of $G$. Let $\partial_1(G)\ge\partial_2(G)\ge\cdots\ge\partial_n(G)$ denote the eigenvalues of $D(G)$. In this paper, the connected graphs with @n􀀀1(G) at least the smallest root of $x^3=3x^2-11x-6 = 0$ are determined. Additionally, some non-isomorphic distance cospectral graphs are given.

Traveling In Networks With Blinking Nodes, 2018 Southern CT State University

#### Traveling In Networks With Blinking Nodes, Braxton Carrigan, James Hammer

##### Theory and Applications of Graphs

We say that a blinking node system modulo $n$ is an ordered pair $(G,L)$ where $G$ is a graph and $L$ is an on-labelling which indicates when vertices can be visited. An On-Hamiltonian walk is a sequence of all the vertices of $G$ such that the position of each vertex modulo $n$ is an integer of the label of that vertex. This paper will primarily investigate finding the shortest On-Hamiltonian walks in a blinking node system on complete graphs and complete bipartite graphs but also establishes the terminology and initial observations for working with blinking node systems on other ...

Review Of Painting By Numbers By Jason Makansi, 2018 Ithaca College

#### Review Of Painting By Numbers By Jason Makansi, Thomas J. Pfaff

##### Numeracy

Makansi, Jason. Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the "Experts." (Tucson, AZ: Layla Dog Press, 2016). 196 pp. ISBN 978-0-9984259-0-0.

In Painting by Numbers Jason Makansi adds another book to the quantitative literacy bookshelf, with a book focusing on models. The book offers twelve commandments to aid the reader in assess quantitative models. The second section of the book offers examples to apply the models. Increasing quantitative literacy is crucial and generally, the more books the better. Unfortunately, this book is too superficial, often misses key ideas, and can easily lead a person to ...

2018 Pennsylvania State University, Mont Alto

#### Life, The Universe, And Numeracy: Review Of A Numerate Life By John Allen Paulos (2015), Kira H. Hamman

##### Numeracy

John Allen Paulos. A Numerate Life: A Mathematician Explores the Vagaries of Life, His Own and Probably Yours (Buffalo, NY: Prometheus Books) 200 pp. ISBN: 978-1633881181

John Allen Paulos, author of Innumeracy and many other books addressing quantitative literacy and numeracy in society, tackles autobiography in this quirky "anti-memoir."

A Few Reflections On A Numerate Life, 2018 Temple University

#### A Few Reflections On A Numerate Life, John Allen Paulos

##### Numeracy

John Allen Paulos. A Numerate Life: A Mathematician Explores the Vagaries of Life, His Own and Probably Yours (Amherst, NY: Prometheus Books, 2015). 200 pp. ISBN 978-1633881181.

This piece briefly introduces and excerpts A Numerate Life: A Mathematician Explores the Vagaries of Life, His Own and Probably Yours, written by John Allen Paulos and published by Prometheus Books. The book shares observations on life—many biographical—from the perspective of a numerate mathematician. The excerpt uses basic statistical reasoning to explore why we should expect that being odd is a most normal experience.

Math Course For Liberal Arts Majors: A Pilot With Embedded Remediation, 2018 Worcester State University

#### Math Course For Liberal Arts Majors: A Pilot With Embedded Remediation, Eileen B. Perez, Hansun To, Mary Fowler, Linda Larrivee

##### Numeracy

This study was designed to determine if embedded remediation is significant in accelerating the pathway to completion of a college-level math course for students needing remediation. The project studied the impact on student success in a quantitative literacy course at a Massachusetts four-year state university with remedial material embedded. The course satisfies the university’s general education math requirement for students with liberal arts majors who are not required to complete college algebra or calculus-based courses. The paper begins with a presentation of the issues with remedial mathematics and its impact on students’ graduation and persistence. Next, the paper covers ...

Intensity Inhomogeneity Correction Of Sd-Oct Data Using Macular Flatspace, 2018 Johns Hopkins University

#### Intensity Inhomogeneity Correction Of Sd-Oct Data Using Macular Flatspace, Andrew Lang, Aaron Carass, Bruno M. Jedynak, Sharon D. Solomon, Peter A. Calabresi, Jerry L. Prince

##### Mathematics and Statistics Faculty Publications and Presentations

Images of the retina acquired using optical coherence tomography (OCT) often suffer from intensity inhomogeneity problems that degrade both the quality of the images and the performance of automated algorithms utilized to measure structural changes. This intensity variation has many causes, including off-axis acquisition, signal attenuation, multi-frame averaging, and vignetting, making it difficult to correct the data in a fundamental way. This paper presents a method for inhomogeneity correction by acting to reduce the variability of intensities within each layer. In particular, the N3 algorithm, which is popular in neuroimage analysis, is adapted to work for OCT data. N3 works ...

Fuzzy Analogues Of Sets And Functions Can Be Uniquely Determined From The Corresponding Ordered Category: A Theorem, 2018 El Paso Community College

#### Fuzzy Analogues Of Sets And Functions Can Be Uniquely Determined From The Corresponding Ordered Category: A Theorem, Christian Servin, Gerardo Muela, Vladik Kreinovich

##### Departmental Technical Reports (CS)

In modern mathematics, many concepts and ideas are described in terms of category theory. From this viewpoint, it is desirable to analyze what can be determined if, instead of the basic category of sets, we consider a similar category of fuzzy sets. In this paper, we describe a natural fuzzy analog of the category of sets and functions, and we show that, in this category, fuzzy relations (a natural fuzzy analogue of functions) can be determined in category terms -- of course, modulo 1-1 mapping of the corresponding universe of discourse and 1-1 re-scaling of fuzzy degrees.

2018 Utah State University

#### A Series Of Papers On Detecting Examinees Who Used A Flawed Answer Key, Marcus W. Scott

##### All Graduate Theses and Dissertations

One way that examinees can gain an unfair advantage on a test is by having prior access to the test questions and their answers, known as preknowledge. Determining which examinees had preknowledge can be a difficult task. Sometimes, the compromised test content that examinees use to get preknowledge has mistakes in the answer key. Examinees who had preknowledge can be identified by determining whether they used this flawed answer key. This research consisted of three papers aimed at helping testing programs detect examinees who used a flawed answer key. The first paper developed three methods for detecting examinees who used ...