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Articles 1 - 30 of 233
Full-Text Articles in Physical Sciences and Mathematics
New Topologies And Parallel Algorithms For Static Interconnection Networks., Srabani Sen Gupta Dr.
New Topologies And Parallel Algorithms For Static Interconnection Networks., Srabani Sen Gupta Dr.
Doctoral Theses
Many real-life applications in the areas of signal processing, image processing, etc., require a large amount of fast computations to be performed. Although high speed powerful processors are currently available due to the phenomenal advances in VLSI technology, the increasing demand for massive real-time computations can not be met just by a uniprocessor system. One way of achieving the goal of fast computation is through parallel processing. In parallel processing, a problem is broken into several subproblems, which are distributed among different processors so that each of the processors can perform its task simultaneously. Main areas of recent research in …
Some Problems In Estimating Finite Population Total And Variance In Survey Sampling., Saswati Bhattacharya Dr.
Some Problems In Estimating Finite Population Total And Variance In Survey Sampling., Saswati Bhattacharya Dr.
Doctoral Theses
The problem of drawing inference concerning the parameters of a finite population of identifiable units has been increasingly engaging the attention of statisticians. The central problem here is to devise a suitable method of selecting a sample from the population and to employ an appropriate estimator to estimate the finite population total or mean. A consider- able progress in this field of study has been made and many authors have contributed towards the development of the theory in this aspect of the problem of statistical inferenceNumerous papers have been written covering the first aspect of the problem, namely, method of …
Invariants Of Twist-Wise Flow Equivalence, Michael C. Sullivan
Invariants Of Twist-Wise Flow Equivalence, Michael C. Sullivan
Articles and Preprints
Twist-wise flow equivalence is a natural generalization of flow equivalence that takes account of twisting in the local stable manifold of the orbits of a flow. Here we announce the discovery of two new invariants in this category.
Interview: Don Hearn, Karen Aardal
Averaged Motion Of Charged Particles In A Curved Strip, Avner Friedman, Chaocheng Huang
Averaged Motion Of Charged Particles In A Curved Strip, Avner Friedman, Chaocheng Huang
Mathematics and Statistics Faculty Publications
This paper is concerned with the motion of electrically charged particles in a "curved" infinite strip.
The Stable Manifold Theorem For Sde's (Stochastic Analysis Seminar, Msri), Salah-Eldin A. Mohammed
The Stable Manifold Theorem For Sde's (Stochastic Analysis Seminar, Msri), Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
I gave the following two talks at the Stochastic Analysis Seminar at the Mathematical Sciences Research Institute, Berkeley, California. The two talks describe recent joint work with Michael Scheutzow.
FIRST TALK:
THE STABLE MANIFOLD THEOREM FOR SDE'S , Part I
Wednesday, December 3, 1997, 11:00-12:00 am, MSRI Lecture Hall.
In this talk, we formulate a local stable manifold theorem for stochastic differential equations in Euclidean space, driven by multi-dimensional Brownian motion. We introduce the concept of hyperbolicity for stationary trajectories of a SDE. This is done using the Oseledec muliplicative ergodic theorem on the linearized SDE around the stationary …
On Multiple Solutions Of A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger
On Multiple Solutions Of A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger
All HMC Faculty Publications and Research
We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.
An Examination Of The Strengths And Weaknesses Of Newton's Method For Nonlinear Optimization, Renita Demalade
An Examination Of The Strengths And Weaknesses Of Newton's Method For Nonlinear Optimization, Renita Demalade
Masters Theses & Specialist Projects
This thesis begins with the history of operations research and introduces two of its major branches, linear and nonlinear optimization. While other methods are mentioned, the focus is on analytical methods used to solve nonlinear optimization problems. We briefly look at some of the most effective constrained methods for nonlinear optimization and then show how unconstrained methods often play a role in developing effective constrained optimization algorithms. In particular we examine Newton and steepest descent methods, focusing primarily on Newton/quasi-Newton methods. Because Newton's method is primarily viewed as a root-finding method, we start with the basic root-finding algorithm for single …
Mathematical Modeling Of Convective Heat Transfer In Mammoth Cave, Jonathan Jernigan
Mathematical Modeling Of Convective Heat Transfer In Mammoth Cave, Jonathan Jernigan
Masters Theses & Specialist Projects
Around two centuries ago, changes were made to the entrances of Mammoth Cave and its passages. Today the Historic Entrance to Mammoth Cave is enlarged and the passage just beyond the entrance known as Houchins' Narrows has been cleared of rubble and filled with sediments. These enlargements have resulted in an increase in airflow throughout the Historic Section of the cave causing environmental conditions such as air temperature and airflow to fluctuate. These fluctuations have negatively impacted inhabitants and contents of the cave system. To restore natural conditions within the cave, Science and Resource Management personnel at Mammoth Cave National …
Structure In Zero-Divisor Graphs Of Commutative Rings, Philip S. Livingston
Structure In Zero-Divisor Graphs Of Commutative Rings, Philip S. Livingston
Masters Theses
In this research, we associate a graph in a natural way with the zero-divisors of a commutative ring. We endeavor to characterize various attributes of the graph, including connectivity, diameter, and symmetry. In exploring symmetry in the graph, we examine the automorphism group of the graph, and provide a complete characterization for the rings ZN. Secondly, we seek ring-theoretic properties which may be described in terms of the associated zero-divisor graph. These include, among other results, a strong relationship between finite local rings and graphs admitting a vertex connected to every other vertex.
A Tribute To Karl Menger, Seymour Kass
A Tribute To Karl Menger, Seymour Kass
Humanistic Mathematics Network Journal
No abstract provided.
Book Review: Garbage Pizza, Patchwork Quilts, And Math Magic: Stories About Teachers Who Love To Teach And Children Who Love To Learn, By Susan Ohanian, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.
Resource Review: Research On Children's Learning As A Tool To Improve Math And Science Teaching, Cynthia Hudley
Resource Review: Research On Children's Learning As A Tool To Improve Math And Science Teaching, Cynthia Hudley
Humanistic Mathematics Network Journal
No abstract provided.
A Situational Pedagogy For Elementary Mathematics, Vincent Haag
A Situational Pedagogy For Elementary Mathematics, Vincent Haag
Humanistic Mathematics Network Journal
No abstract provided.
Helping Students With Attention Deficit Disorder Succeed In A College Mathematics Class, Pamela E. Matthews
Helping Students With Attention Deficit Disorder Succeed In A College Mathematics Class, Pamela E. Matthews
Humanistic Mathematics Network Journal
No abstract provided.
Reflections Of Glenmount Reform Effort, Gail Black, Ruth Miller
Reflections Of Glenmount Reform Effort, Gail Black, Ruth Miller
Humanistic Mathematics Network Journal
No abstract provided.
The Reform Calculus Debate And The Psychology Of Learning Mathematics, James M. Cargal
The Reform Calculus Debate And The Psychology Of Learning Mathematics, James M. Cargal
Humanistic Mathematics Network Journal
No abstract provided.
Teaching Mathematics Appreciation To Nonscience Majors, Josefina Alvarez
Teaching Mathematics Appreciation To Nonscience Majors, Josefina Alvarez
Humanistic Mathematics Network Journal
No abstract provided.
The Object And The Study Of Mathematics, Pinar Karaca
The Object And The Study Of Mathematics, Pinar Karaca
Humanistic Mathematics Network Journal
No abstract provided.
John Dewey, The Math And Science Standards, And The Workplace, Bernard A. Fleishman
John Dewey, The Math And Science Standards, And The Workplace, Bernard A. Fleishman
Humanistic Mathematics Network Journal
No abstract provided.
Poems, David L. Finn
Inspiration In England, Mary Mcdermott
Inspiration In England, Mary Mcdermott
Humanistic Mathematics Network Journal
No abstract provided.
A Course In Mathematical Ethics, Robert P. Webber
A Course In Mathematical Ethics, Robert P. Webber
Humanistic Mathematics Network Journal
No abstract provided.
Book Review: Nexus: Architecture And Mathematics, Edited By Kim Williams, Joseph Malkevitch
Book Review: Nexus: Architecture And Mathematics, Edited By Kim Williams, Joseph Malkevitch
Humanistic Mathematics Network Journal
No abstract provided.
Book Review: Ethnomathematics--Challenging Eurocentrism Inmathematics Education, Edited Byarthur B. Powell And Marilyn Frankenstein, Karen Dee Michalowicz
Book Review: Ethnomathematics--Challenging Eurocentrism Inmathematics Education, Edited Byarthur B. Powell And Marilyn Frankenstein, Karen Dee Michalowicz
Humanistic Mathematics Network Journal
No abstract provided.
Borsuk-Ulam Implies Brouwer: A Direct Construction, Francis E. Su
Borsuk-Ulam Implies Brouwer: A Direct Construction, Francis E. Su
All HMC Faculty Publications and Research
No abstract provided in this article.
Orbifolds With Lower Ricci Curvature Bounds, Joseph E. Borzellino
Orbifolds With Lower Ricci Curvature Bounds, Joseph E. Borzellino
Mathematics
We show that the first betti number of a compact Riemannian orbifold with Ricci curvature and diameter is bounded above by a constant , depending only on dimension, curvature and diameter. In the case when the orbifold has nonnegative Ricci curvature, we show that the is bounded above by the dimension , and that if, in addition, , then is a flat torus .
A Unifying Construction For Difference Sets, James A. Davis, Jonathan Jedwab
A Unifying Construction For Difference Sets, James A. Davis, Jonathan Jedwab
Department of Math & Statistics Faculty Publications
We present a recursive construction for difference sets which unifies the Hadamard, McFarland, and Spence parameter families and deals with all abelian groups known to contain such difference sets. The construction yields a new family of difference sets with parameters (v, k, λ,n)=(22d+4(22d+2−1)/3, 22d+1(22d+3+1)/3, 22d+1(22d+1+1)/3, 24d+2) for d⩾0. The construction establishes that a McFarland difference set exists in an abelian group of order 22 …
A Sign-Changing Solution For A Superlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger
A Sign-Changing Solution For A Superlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, John M. Neuberger
All HMC Faculty Publications and Research
We show that a superlinear boundary value problem has at least three nontrivial solutions. A pair are of one sign (positive and negative, respectively), and the third solution changes sign exactly once. The critical level of the sign-changing solution is bounded below by the sum of the two lesser levels of the one-sign solutions. If nondegenerate, the one sign solutions are of Morse index 1 and the signchanging solution has Morse index 2. Our results extend and complement those of Z.Q. Wang [12].
Computational Geometry Column 32, Joseph O'Rourke
Computational Geometry Column 32, Joseph O'Rourke
Computer Science: Faculty Publications
The proof of Dey's new k-set bound is illustrated.