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Physical Sciences and Mathematics Commons

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Articles 1 - 16 of 16

Full-Text Articles in Physical Sciences and Mathematics

Counting Pattern-Avoiding Permutations, Lara Pudwell Nov 2009

Counting Pattern-Avoiding Permutations, Lara Pudwell

Lara K. Pudwell

No abstract provided.


An Introduction To Enumeration Schemes, Lara Pudwell Nov 2009

An Introduction To Enumeration Schemes, Lara Pudwell

Lara K. Pudwell

No abstract provided.


Simplify, Cancel, And Other Math Lingo With Multiple Meanings, Lisa Yocco Nov 2009

Simplify, Cancel, And Other Math Lingo With Multiple Meanings, Lisa Yocco

Lisa S. Yocco

No abstract provided.


Logically Rectangular Finite Volume Methods With Adaptive Refinement On The Sphere, Marsha Berger, Donna Calhoun, Christiane Helzel, Randall Leveque Oct 2009

Logically Rectangular Finite Volume Methods With Adaptive Refinement On The Sphere, Marsha Berger, Donna Calhoun, Christiane Helzel, Randall Leveque

Donna Calhoun

The logically rectangular finite volume grids for two-dimensional partial differential equations on a sphere and for three-dimensional problems in a spherical shell introduced recently have nearly uniform cell size, avoiding severe Courant number restrictions. We present recent results with adaptive mesh refinement using the GEOCLAW software and demonstrate well-balanced methods that exactly maintain equilibrium solutions, such as shallow water equations for an ocean at rest over arbitrary bathymetry.


Counting Pattern-Avoiding Permutations, Lara Pudwell Oct 2009

Counting Pattern-Avoiding Permutations, Lara Pudwell

Lara K. Pudwell

No abstract provided.


Non-Smooth Solutions To Least Squares Problems, Jodi Mead Sep 2009

Non-Smooth Solutions To Least Squares Problems, Jodi Mead

Jodi Mead

In an attempt to overcome the ill-posedness or illconditioning of inverse problems, regularization methods are implemented by introducing assumptions on the solution. Common regularization methods include total variation, L-curve, Generalized Cross Validation (GCV), and the discrepancy principle. It is generally accepted that all of these approaches except total variation unnecessarily smooth solutions, mainly because the regularization operator is in an L2 norm. Alternatively, statistical approaches to ill-posed problems typically involve specifying a priori information about the parameters in the form of Bayesian inference. These approaches can be more accurate than typical regularization methods because the regularization term is weighted with …


Problem #3468, Stan Wagon, Peter Saltzman, Joseph Devincentis Sep 2009

Problem #3468, Stan Wagon, Peter Saltzman, Joseph Devincentis

Stan Wagon, Retired

No abstract provided.


On The Issue Of Decoupled Decoding Of Codes Derived From Quaternion Orthogonal Designs, Tadeusz Wysocki, Beata Wysocki, Sarah Spence Adams Aug 2009

On The Issue Of Decoupled Decoding Of Codes Derived From Quaternion Orthogonal Designs, Tadeusz Wysocki, Beata Wysocki, Sarah Spence Adams

Sarah Spence Adams

Quaternion orthogonal designs (QODs) have been previously introduced as a basis for orthogonal space-time polarization block codes (OSTPBCs). This note will serve to correct statements concerning the optimality of a decoupled maximum-likelihood (ML) decoding algorithm. It will be shown that when compared to coupled decoding, the decoupled decoding is only optimal in certain cases. This raises several open problems concerning the decoding of OSTPBCs.


Paradigms For Non-Classical Substitutions, Lawrence Stout, P. Eklund, M. Galan, J. Kortelainen Apr 2009

Paradigms For Non-Classical Substitutions, Lawrence Stout, P. Eklund, M. Galan, J. Kortelainen

Lawrence N. Stout

We will present three paradigms for non-classical substitution. Firstly, we have the classical substitution of variables with terms. This is written in a strict categorical form supporting presentation of the other two paradigms. The second paradigm is substitutions of variables with many-valued sets of terms. These two paradigms are based on functors and monads over the category of sets. The third paradigm is the substitution of many-valued sets of variables with terms over many-valued sets of variables. The latter is based on functors and monads over the category of many-valued sets. This provides a transparency of the underlying categories and …


Using The Ti-Nspire As A Tool To Explore Real Applications, Lisa Yocco Mar 2009

Using The Ti-Nspire As A Tool To Explore Real Applications, Lisa Yocco

Lisa S. Yocco

No abstract provided.


Look Behind The Scenes With The Ti-Nspire, Lisa Yocco Feb 2009

Look Behind The Scenes With The Ti-Nspire, Lisa Yocco

Lisa S. Yocco

No abstract provided.


An Introduction To Enumeration Schemes, Lara Pudwell Jan 2009

An Introduction To Enumeration Schemes, Lara Pudwell

Lara K. Pudwell

No abstract provided.


Enumeration Schemes For Permutations Avoiding Barred Patterns, Lara Pudwell Jan 2009

Enumeration Schemes For Permutations Avoiding Barred Patterns, Lara Pudwell

Lara K. Pudwell

No abstract provided.


A Finite Volume Method For Solving Parabolic Equations On Logically Cartesian Curved Surface Meshes, Donna Calhoun, Christiane Helzel Dec 2008

A Finite Volume Method For Solving Parabolic Equations On Logically Cartesian Curved Surface Meshes, Donna Calhoun, Christiane Helzel

Donna Calhoun

We present a second-order, finite-volume scheme for the constant-coefficient diffusion equation on curved, parametric surfaces described via smooth or piecewise smooth mappings on logically Cartesian meshes. Our method does not require analytic metric terms, shows second-order accuracy, can be easily coupled to existing finite-volume solvers for logically Cartesian meshes and handles general mixed boundary conditions. We present numerical results demonstrating the accuracy of the scheme, and then use the scheme to solve advection-reaction-diffusion equations modeling biological pattern formation on surfaces.


Geometric Ergodicity Of Gibbs Samplers (University Of Minnesota), Alicia Johnson Dec 2008

Geometric Ergodicity Of Gibbs Samplers (University Of Minnesota), Alicia Johnson

Alicia A. Johnson

No abstract provided.


Using A Personal Response System, John Hawkins, Bruce Mclean Dec 2008

Using A Personal Response System, John Hawkins, Bruce Mclean

John B. Hawkins

Over the years, we have consistently used the latest technology in our classes. It has made us more organized and has increased the understanding of our students. Now we have combined our old presentations and drawings from the past and placed them in PowerPoint presentations with imbedded questions. These questions can be multiple choice or questions that have numerical answers. Our University has settled upon one company to provide a personal response system, eInstruction’s Classroom Performance System (CPS). The students answer each question as it appears and we are able to evaluate our lectures in real time. Applets can still …