A Study Of The Gam Approach To Solve Laminar Boundary Layer Equations In The Presence Of A Wedge,
2012
University of Malakand, Pakistan
A Study Of The Gam Approach To Solve Laminar Boundary Layer Equations In The Presence Of A Wedge, Rahmat Ali Khan, Muhammad Usman
Mathematics Faculty Publications
We apply an easy and simple technique, the generalized ap- proximation method (GAM) to investigate the temperature field associated with the Falkner-Skan boundary-layer problem. The nonlinear partial differ- ential equations are transformed to nonlinear ordinary differential equations using the similarity transformations. An iterative scheme for the non-linear ordinary differential equations associated with the velocity and temperature profiles are developed via GAM. Numerical results for the dimensionless ve- locity and temperature profiles of the wedge flow are presented graphically for different values of the wedge angle and Prandtl number.
From Conic Intersections To Toric Intersections: The Case Of The Isoptic Curves Of An Ellipse,
2012
University of Montana
From Conic Intersections To Toric Intersections: The Case Of The Isoptic Curves Of An Ellipse, Thierry Dana-Picard, Nurit Zehavi, Giora Mann
The Mathematics Enthusiast
Starting from the study of the orthoptic curves of parabolas and ellipses, we generalize to the case of isoptic curves for any angle, i.e. the geometric locus of points from which a parabola or an ellipse are viewed under a given angle. This leads to the investigation of spiric curves and to the construction of these curves as an actual intersection of a self-intersecting torus with a plane. The usage of a Computer Algebra System facilitated this investigation.
Student Enrolment In Classes With Frequent Mathematical Discussion And Its Longitudinal Effect On Mathematics Achievement,
2012
University of Montana
Student Enrolment In Classes With Frequent Mathematical Discussion And Its Longitudinal Effect On Mathematics Achievement, Karl W. Kosko
The Mathematics Enthusiast
Mathematical discussion has been identified as being beneficial to students’ understandings of mathematics (Goos, 1995; Lee, 2006). Students in classrooms with more effective math discussion have been observed to engage more frequently in discussion (e.g. Hiebert & Wearne, 1993), but the converse is not necessarily true (e.g. Manouchehri & St. John, 2006). Utilizing hierarchical linear modeling, the present study examined student enrollment in classes with more and less frequent discussion and such enrollment’s effect on mathematics achievement over time. Results indicated that students enrolled in classes that discuss math “almost every day” consistently have higher math achievement than students enrolled …
Improved Left Ventricular Mass Quantification With Partial Voxel Interpolation – In-Vivo And Necropsy Validation Of A Novel Cardiac Mri Segmentation Algorithm,
2012
Weill Cornell Medical College
Improved Left Ventricular Mass Quantification With Partial Voxel Interpolation – In-Vivo And Necropsy Validation Of A Novel Cardiac Mri Segmentation Algorithm, Noel C.F. Codella, Hae Yeoun Lee, David S. Fieno, Debbie W. Chen, Sandra M. Hurtado Rua, Minisha Kochar, John Paul Finn, Robert Judd, Parag Goyal, Jesse Schenendorf, Matthew D. Cham, Richard B. Devereux, Martin Prince, Yi Wang, Jonathan W. Weinsaft
Mathematics and Statistics Faculty Publications
Background—CMR typically quantifies LV mass (LVM) via manual planimetry (MP), but this approach is time consuming and does not account for partial voxel components - myocardium admixed with blood in a single voxel. Automated segmentation (AS) can account for partial voxels, but this has not been used for LVM quantification. This study used automated CMR segmentation to test the influence of partial voxels on quantification of LVM. Methods and Results—LVM was quantified by AS and MP in 126 consecutive patients and 10 laboratory animals undergoing CMR. AS yielded both partial voxel (ASPV) and full voxel (ASFV) …
The Secretary Problem From The Applicant's Point Of View,
2012
Gettysburg College
The Secretary Problem From The Applicant's Point Of View, Darren B. Glass
Math Faculty Publications
Searching for a job is always stressful and, with unemployment rates at their highest levels in years, never more so than now. Applicants can and should use every advantage at their disposal to obtain a job which is rewarding, financially and otherwise. While this author believes a math major gives applicants many advantages as they search for their dream job, one often overlooked is the ability to strategize and schedule their interviews to maximize the chance of landing that job.
Mathematical Competitions In Hungary: Promoting A Tradition Of Excellence & Creativity,
2012
University of Montana
Mathematical Competitions In Hungary: Promoting A Tradition Of Excellence & Creativity, Julianna Connelly Stockton
The Mathematics Enthusiast
Hungary has long been known for its outstanding production of mathematical talent. Extracurricular programs such as camps and competitions form a strong foundation within the Hungarian tradition. New types of competitions in recent years include team competitions, multiple choice competitions, and some exclusively for students who are not in a special mathematics class. This study explores some of the recent developments in Hungarian mathematics competitions and the potential implications these changes have for the very competition-driven system that currently exists. The founding of so many new competitions reflects a possible shift in the focus and purpose of competitions away from …
Some Reflections On Mathematics And Mathematicians: Simple Questions, Complex Answers,
2012
University of Montana
Some Reflections On Mathematics And Mathematicians: Simple Questions, Complex Answers, Juan Eduardo Nápoles Valdes
The Mathematics Enthusiast
In this work we present some reflections on mathematics and mathematicians. Special emphasis is placed on the questions (1) what is mathematics? And (2) what is a mathematician? Some reflections and open questions are posed at the end of the work.
What Does It Take To Teach Nonmajors Effectively?,
2012
Grand Valley State University
What Does It Take To Teach Nonmajors Effectively?, Feryal Alayont, Gizem Karaali, Lerna Pehlivan
Pomona Faculty Publications and Research
Most MAA members teach mathematics at the college level, and many often teach courses intended for nonmajors. Indeed this is one of the main responsibilities of a mathematics department: offering service courses for client departments and general education courses for nonmajors. The three of us have been thinking about the question of how to teach nonmajors successfully for a while now. Finally we decided on a time-tested method of figuring things out: if you don't know what to do, ask the experts. We organized a panel titled "Effective Strategies for Teaching Classes for Nonmajors" for MAA MathFest 2012 and invited …
Unitary Equivalence To A Truncated Toeplitz Operator: Analytic Symbols,
2012
Pomona College
Unitary Equivalence To A Truncated Toeplitz Operator: Analytic Symbols, Stephan Ramon Garcia, Daniel E. Poore '11, William T. Ross
Pomona Faculty Publications and Research
Unlike Toeplitz operators on H², truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically. In this paper we provide criteria for a matrix with distinct eigenvalues to be unitarily equivalent to a truncated Toeplitz operator having an analytic symbol. This test is constructive, and we illustrate it with several examples. As a byproduct, we also prove that every complex symmetric operator on a Hilbert space of dimension ≤ 3 is unitarily equivalent to a direct sum of truncated Toeplitz operators.
Changes Across 25 Years Of Statistics In Medicine,
2012
Pomona College
Changes Across 25 Years Of Statistics In Medicine, Johanna S. Hardin
Pomona Faculty Publications and Research
[This piece is a series of interviews with giants in the field of medicine on their views of how statistics is changing medicine. I interviewed the editor of the New England Journal of Medicine, a preeminent doctor/researcher of lung cancer, the director of the LA County Department of Public Health, and a Harvard statistician who sits on the editorial board of the New England Journal of Medicine.]
Second Gradient Viscoelastic Fluids: Dissipation Principle And Free Energies,
2012
Universita Dini
Second Gradient Viscoelastic Fluids: Dissipation Principle And Free Energies, G. Amendola, M. Fabrizio, John Murrough Golden
Articles
We consider a generalization of the constitutive equation for an incompressible second order fluid, by including thermal and viscoelastic effects in the expression for the stress tensor. The presence of the histories of the strain rate tensor and its gradient yields a non-simple material, for which the laws of thermodynamics assume a modified form. These laws are expressed in terms of the internal mechanical power which is evaluated, using the dynamical equation for the fluid. Generalized thermodynamic constraints on the constitutive equation are presented. The required properties of free energy functionals are discussed. In particular, it is shown that they …
On Super And Hereditarily Hopfian And Co-Hopfian Abelian Groups,
2012
Technological University Dublin
On Super And Hereditarily Hopfian And Co-Hopfian Abelian Groups, Brendan Goldsmith, Katao Kong
Articles
The notions of Hopfian and co-Hopfian groups have been of interest for some time. In this present work we characterize the more restricted classes of hereditarily Hopfian (co-Hopfian) and super Hopfian (co-Hopfian) groups in the case where the groups are Abelian.
Medicine, Statistics, And Education: The Inextricable Link,
2012
Pomona College
Medicine, Statistics, And Education: The Inextricable Link, Katharine K. Brieger '11, Johanna S. Hardin
Pomona Faculty Publications and Research
No abstract provided.
An Investigation Of Air Resistance On Projectile Motion From Aristotle To Euler,
2012
California State University, San Bernardino
An Investigation Of Air Resistance On Projectile Motion From Aristotle To Euler, Michael Edward Clayton
Theses Digitization Project
From antiquity until today, mathematicians have tried to develop a theory of projectile motion. The development of a theory of projectile motion began with just a basic observation of motion by the great Greek mathematician Aristotle and has evolved to become more than conjecture or hypothesis, but a well developed science of prediciting the flight and accuracy of a projectile in motion. This thesis traces the development of the theory of projectile motion from Greek antiquity to about the mid 1700's.
Closure Operations In Commutative Rings,
2012
California State University, San Bernardino
Closure Operations In Commutative Rings, Chloette Joy Samsam
Theses Digitization Project
The purpose of this study is to survey different types of closures and closure operations on commutative rings and ideals.
Orthogonal Polynomials,
2012
California State University, San Bernardino
Orthogonal Polynomials, George Gevork Antashyan
Theses Digitization Project
This thesis will show work on Orthogonal Polynomials. In mathematics, the type of polynomials that are orthogonal to each other under inner product are called orthogonal polynomials. Jacobi polynomials, Laguerre polynomials, and Hermite polynomials are examples of classical orthogonal polynomials that was invented in the nineteenth century. The theory of rational approximations is one of the most important applications of orthogonal polynomials.
Solutions To A Generalized Pell Equation,
2012
California State University, San Bernardino
Solutions To A Generalized Pell Equation, Kyle Christopher Castro
Theses Digitization Project
This study aims to extend the notion of continued fractions to a new field Q (x)*, in order to find solutions to generalized Pell's Equations in Q [x] . The investigation of these new solutions to Pell's Equation will begin with the necessary extensions of theorems as they apply to polynomials with rational coefficients and fractions of such polynomials in order to describe each "family" of solutions.
Monomial And Permutation Representation Of Groups,
2012
California State University, San Bernardino
Monomial And Permutation Representation Of Groups, Rebeca Maria Blanquet
Theses Digitization Project
The purpose of this project is to introduce another method of working with groups, that is more efficient when the groups we wish to work with are of a significantly large finite order. When we wish to work with small finite groups, we use permutations and matrices. Although these two methods are the general methods of working with groups, they are not always efficient.
Cassini Ovals As Elliptic Curves,
2012
California State University, San Bernardino
Cassini Ovals As Elliptic Curves, Nozomi Arakaki
Theses Digitization Project
The purpose of this project is to show that Cassini curves that are not lemniscates, when b does not equal 1, represent elliptic curves. It is also shown that the cross-ratios of these elliptic curves are either real numbers or represented by complex numbers on the unit circle on the conplex plane.
Non-Genera Of Curves With Automorphisms In Characteristic P,
2012
Gettysburg College
Non-Genera Of Curves With Automorphisms In Characteristic P, Darren B. Glass
Math Faculty Publications
We consider which integers g and r can occur respectively as the genus and p-rank of a curve defined over a field of odd characteristics p which admits an automorphism of degree p.
