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Articles 23551 - 23580 of 27424
Full-Text Articles in Physical Sciences and Mathematics
Compositions Of Darboux And Connectivity Functions, Krzysztof Ciesielski
Compositions Of Darboux And Connectivity Functions, Krzysztof Ciesielski
Faculty & Staff Scholarship
We describe here an example of a Darboux function k from the unit interval I = [0, 1] onto itself such that k is not the composition of any finite collection of connectivity functions from I into I. This answers a question of Ceder [2].
Two Examples Concerning Extendable And Almost Continuous Functions, Krzysztof Ciesielski
Two Examples Concerning Extendable And Almost Continuous Functions, Krzysztof Ciesielski
Faculty & Staff Scholarship
The main purpose of this paper is to describe two examples. The first is that of an almost continuous, Baire class two, non-extendable function f:[0,1]-->[0,1] with a G\delta graph. This answers a question of Gibson. The second example is that of a connectivity function F:R2-->R with dense graph such that F-1(0) is contained in a countable union of straight lines. This easily implies the existence of an extendable function f:R-->R with dense graph such that f-1(0) is countable.
We also give a sufficient condition for a Darboux …
Mathematica In Action, Stan Wagon
Optimization Methods For Logical Inference, Vijay Chandru, John Hooker
Optimization Methods For Logical Inference, Vijay Chandru, John Hooker
John Hooker
No abstract provided.
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Walden Freedman
Conditional Convergence Of Infinite Products, William F. Trench
Conditional Convergence Of Infinite Products, William F. Trench
William F. Trench
No abstract provided.
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
William F. Trench
No abstract provided.
Invertibly Convergent Infinite Products Of Matrices, William F. Trench
Invertibly Convergent Infinite Products Of Matrices, William F. Trench
William F. Trench
No abstract provided.
On The Laws Of Homogeneous Functionals Of The Brownian Bridge, Philippe Carmona, Frédérique Petit, Jim Pitman, Marc Yor
On The Laws Of Homogeneous Functionals Of The Brownian Bridge, Philippe Carmona, Frédérique Petit, Jim Pitman, Marc Yor
Jim Pitman
No abstract provided.
On The Basic Representation Theorem For Convex Domination Of Measures, J. Elton, Theodore P. Hill
On The Basic Representation Theorem For Convex Domination Of Measures, J. Elton, Theodore P. Hill
Research Scholars in Residence
A direct, constructive proof is given for the basic representation theorem for convex domination of measures. The proof is given in the finitistic case (purely atomic measures with a finite number of atoms), and a simple argument is then given to extend this result to the general case, including both probability measures and finite Borel measures on infinite-dimensional spaces. The infinite-dimensional case follows quickly from the finite-dimensional case with the use of the approximation property.
Fan-Type Conditions For Collapsible Graphs, Zhi-Hong Chen
Fan-Type Conditions For Collapsible Graphs, Zhi-Hong Chen
Scholarship and Professional Work - LAS
No abstract provided.
Essay On Deprivation, Poverty And Well-Being., Diganta Mukherjee Dr.
Essay On Deprivation, Poverty And Well-Being., Diganta Mukherjee Dr.
Doctoral Theses
Issues like inequity, deprivation and poverty have been a focus of interest for social scientists for a long time. The present thesis explores a few aspects of the above issues. It ermbodies the fruit of my intellectual perambulation in the Economic Research Unit of Indian Statistical Institute (ISI) during the years 1995 - 97. The text is divided into six chapters. The first chapter gives a general overview of different aspects of measuring inequality, deprivation and poverty. The second, third and fourth chapters take up the issue of deprivation measurement in detail. They contain discussions on deprivation ordering, indices and …
Natural Math, Maria Droujkova
Natural Math, Maria Droujkova
Humanistic Mathematics Network Journal
No abstract provided.
Do The Great While It Is Still Small: Humanistic Teaching In The Elementary School, John Eichinger
Do The Great While It Is Still Small: Humanistic Teaching In The Elementary School, John Eichinger
Humanistic Mathematics Network Journal
No abstract provided.
The Legend Of The Apple, Raul A. Simon
The Legend Of The Apple, Raul A. Simon
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics Found In Poetry, Alexis Mann
Mathematics Found In Poetry, Alexis Mann
Humanistic Mathematics Network Journal
No abstract provided.
Plastic Pebbles, Virginie H. Mitchem
Plastic Pebbles, Virginie H. Mitchem
Humanistic Mathematics Network Journal
No abstract provided.
What Does Equality Mean?--The Basque View, Marcia Ascher
What Does Equality Mean?--The Basque View, Marcia Ascher
Humanistic Mathematics Network Journal
No abstract provided.
On Solving Equations, Negative Numbers, And Other Absurdities: Part Ii, Ralph A. Raimi
On Solving Equations, Negative Numbers, And Other Absurdities: Part Ii, Ralph A. Raimi
Humanistic Mathematics Network Journal
No abstract provided.
Architecture And Mathematics: An Introduction For Elementary And Middle School Children, Kim Williams
Architecture And Mathematics: An Introduction For Elementary And Middle School Children, Kim Williams
Humanistic Mathematics Network Journal
No abstract provided.
Nine And One Third Circles Of Rejoicing, Michael Capobianco
Nine And One Third Circles Of Rejoicing, Michael Capobianco
Humanistic Mathematics Network Journal
No abstract provided.
Manifesto On Mathematical Education, Saunders Mac Lane
Manifesto On Mathematical Education, Saunders Mac Lane
Humanistic Mathematics Network Journal
No abstract provided.
From My Dance Is Mathematics: Poems From A Mathematics Teacher, Joanne S. Growney
From My Dance Is Mathematics: Poems From A Mathematics Teacher, Joanne S. Growney
Humanistic Mathematics Network Journal
No abstract provided.
Stability And Reconstruction For An Inverse Problem For The Heat Equation, Kurt Bryan, Lester Caudill
Stability And Reconstruction For An Inverse Problem For The Heat Equation, Kurt Bryan, Lester Caudill
Department of Math & Statistics Faculty Publications
We examine the inverse problem of determining the shape of some unknown portion of the boundary of a region Ω from measurements of the Cauchy data for solutions to the heat equation on Ω. By suitably linearizing the inverse problem we obtain uniqueness and continuous dependence results. We propose an algorithm for recovering estimates of the unknown portion of the surface and use the insight gained from a detailed analysis of the inverse problem to regularize the inversion. Several computational examples are presented.
Interior Blowup In A Convection-Diffusion Equation, Christopher P. Grant
Interior Blowup In A Convection-Diffusion Equation, Christopher P. Grant
Faculty Publications
This paper addresses the qualitative behavior of a nonlinear convection-diffusion equation on a smooth bounded domain in Rn, in which the strength of the convection grows superlinearly as the density increases. While the initial-boundary value problem is guaranteed to have a local-in-time solution for smooth initial data, it is possible for this solution to be extinguished in nite time. We demonstrate that the way this may occur is through nite-time "blow up," i.e., the unboundedness of the solution in arbitrarily small neighborhoods of one or more points in the closure of the spatial domain. In special circumstances, such as the …
A Continuum Analysis Of The Chemotactic Signal Seen By Dictyostelium Discoideum, J. C. Dallon, H. G. Othmer
A Continuum Analysis Of The Chemotactic Signal Seen By Dictyostelium Discoideum, J. C. Dallon, H. G. Othmer
Faculty Publications
We develop a mathematical model of cell-to-cell-signalling in Dictyostelium discoideum that predicts the cAMP signal seen by individual cells in early aggregation. The model employs two cells on a plane and is designed to predict the space-time characteristics of both the extracellular cAMP signal seen by one cell when a nearby cell relays, and the intracellular cAMP response produced by the stimulus in the receiving cell. The effect of membrane bound phosphodiesterase is studied and it is shown that cells can orient effectively even in its absence. Our results give a detailed picture of how the spatio-temporal characteristics of the …
On The Dynamics Of Stochastic Differential Equations (Ellis B. Stouffer Colloquium, University Of Kansas), Salah-Eldin A. Mohammed
On The Dynamics Of Stochastic Differential Equations (Ellis B. Stouffer Colloquium, University Of Kansas), Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
We formulate and outline a proof of the Local Stable Manifold Theorem for stochastic differential equations (SDE's) in Euclidean space (joint work with M. Scheutzow). This is a central result in dynamical systems with noise. Starting with the existence of a stochastic flow for an SDE, we introduce the notion of a hyperbolic stationary trajectory. We prove the existence of invariant random stable and unstable manifolds in the neighborhood of a hyperbolic stationary solution. For Stratonovich noise, the stable and unstable manifolds are dynamically characterized using forward and backward solutions of the anticipating SDE.
Rank One And Loosely Bernoulli Actions In Zᵈ, Aimee S.A. Johnson, A. A. Şahin
Rank One And Loosely Bernoulli Actions In Zᵈ, Aimee S.A. Johnson, A. A. Şahin
Mathematics & Statistics Faculty Works
We define rank one for Zᵈ actions and show that those rank one actions with a certain tower shape are loosely Bernoulli for d greater than or equal to 1. We also construct a zero entropy Z² loosely Bernoulli action with a zero entropy, ergodic, non-loosely Bernoulli one-dimensional subaction.
Finding Cyclic Redundancy Check Polynomials For Multilevel Systems, James A. Davis, Miranda Mowbray, Simon Crouch
Finding Cyclic Redundancy Check Polynomials For Multilevel Systems, James A. Davis, Miranda Mowbray, Simon Crouch
Department of Math & Statistics Faculty Publications
This letter describes a technique for finding cyclic redundancy check polynomials for systems for transmission over symmetric channels which encode information in multiple voltage levels, so that the resulting redundancy check gives good error protection and is efficient to implement. The codes which we construct have a Hamming distance of 3 or 4. We discuss a way to reduce burst error in parallel transmissions and some tricks for efficient implementation of the shift register for these polynomials. We illustrate our techniques by discussing a particular example where the number of levels is 9, but they are applicable in general.
Cohomology Of Polynomials Under An Irrational Rotation, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill
Cohomology Of Polynomials Under An Irrational Rotation, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill
Mathematics, Statistics and Data Science Faculty Works
A new description of cohomology of functions under an irrational rotation is given in terms of symmetry properties of the functions on subintervals of [0, 1]. This description yields a method for passing information about the cohomology classes for a given irrational to the cohomology classes for an equivalent irrational.