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Disparities In Development: A Case Study Of Karnataka State (India)., Jayalaxmi Jayaram Dr. Feb 1990

Disparities In Development: A Case Study Of Karnataka State (India)., Jayalaxmi Jayaram Dr.

Doctoral Theses

The Five Year Plans have recognised the need to bridge the developmental disparities across the regions and have formulated strategies for accelerated development of backward are as. However, the widening disparities between a few highly developed centres and vast areas of under development only bring out the inadequacies of the plans which are yet to integrate the resources of a region to its people. This study is an attempt to understand the spatial processes and patterns of development which offer an explanation to the intra/inter-regional contrasts in development. The study while high-lighting the importance of the Spatial approach has, in …

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Semi-Martiangales Associated With Crossing, B. Rajeev Dr. Feb 1990

Semi-Martiangales Associated With Crossing, B. Rajeev Dr.

Doctoral Theses

In thia theoia ve study the locel behaviour or semi mertingalea. Civen e cant!nuoue sent rartineale and an i-tetval (n,t), ve define a new pracees which airrara the bereufour of the originel procese in the interval (a, b). Thie neu procees tur ns cut to he a semi-nartingale uhose junpa during [J,t: ere closely reinted to the number of croosinge of (o,t) during [0,t ].Jur sterting point is indned P, Levy's rortingale cherocterizotion of around an motion : If (xt) and (x2t - t) ore cantinuOun lacol nar- tingales then (xt) must be a Srownion mation. Let now Hn(x,t) denote …

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Supercomputer Simulation Of Liquid Drop Formation On A Solid Surface, Donald Greenspan Feb 1990

Supercomputer Simulation Of Liquid Drop Formation On A Solid Surface, Donald Greenspan

Mathematics Technical Papers - Archive

Using a molecular dynamics type approach, we show how to simulate the formation of a liquid drop on a solid surface. Application is made to the case in which the liquid is water and the solid is graphite. The dynamical equations are large systems of nonlinear, ordinary differential equations which must be solved numerically. CRAY X-MP/ 24 simulations and related contact angle calculations are described and discussed.

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On Two Function-Spaces Which Are Similar To L0, S J. Dilworth, D A. Trautman Feb 1990

On Two Function-Spaces Which Are Similar To L0, S J. Dilworth, D A. Trautman

Faculty Publications

No abstract provided.

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Composing Math Education In The Information Age: A Song Of Change, Camille Baker Jan 1990

Composing Math Education In The Information Age: A Song Of Change, Camille Baker

Graduate Student Independent Studies

This research describes what happened when a teacher implemented change directed toward a relevant math curriculum and effective pedagogy which address present day needs. The assessment of these needs includes an investigation of today's reform literature and the nature of mathematics, along with the history of education and cognitive theory of the 1900's.

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Multicolored Simon Newcomb Problems, Don Rawlings Jan 1990

Multicolored Simon Newcomb Problems, Don Rawlings

Mathematics

Recent progress made by Desarmenien and Foata in the area of permutation statistics indirectly points out a certain gap in the theory of sequence enumeration. The remedy of the situation lies in the consideration of some colorful extensions of the Simon Newcomb problem.

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Remarks On Estimates For The Green Function, Jose Luis Menaldi Jan 1990

Remarks On Estimates For The Green Function, Jose Luis Menaldi

Mathematics Faculty Research Publications

No abstract provided.

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Particle Modelling Of Combustion, Donald Greenspan Jan 1990

Particle Modelling Of Combustion, Donald Greenspan

Mathematics Technical Papers - Archive

Combustion is simulated by a molecular type model using classical molecular type interaction formulas. Supercomputer examples which emphasize turbulent motion are described and discussed.

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Construction Of The Best Monotone Approximation On Lp [0, 1], J. J. Swetits, S. E. Weinstein Jan 1990

Construction Of The Best Monotone Approximation On Lp [0, 1], J. J. Swetits, S. E. Weinstein

Mathematics & Statistics Faculty Publications

(First paragraph) For 1 ≤ p < ∞, let Lp, denote the Banach space of pth power Lebesgue integrable functions on [0, l] ∥ƒ∥p = (∫¹₀∣ƒ∣ p)1/p Let Mp denote the set of nondecreasing functions in Lp. For l < p < ∞ , each ƒ∊Lp has a unique best approximation from Mp, while, for p = 1, existence of a best approximation from M1 follows from Proposition 4 of [6].

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Ordered Ultraconnected Rings, Melvin Henriksen, Frank A. Smith Jan 1990

Ordered Ultraconnected Rings, Melvin Henriksen, Frank A. Smith

All HMC Faculty Publications and Research

A ring R with identity element 1 is called ultraconnected if for each unital homomorphism ϕ of Zω into R, there is an i < ω such that ϕ(f) = f(i) • 1 for every f € Zω . Our main result is that if no sum of nonzero squares in R is 0 and R has only trivial idempotents, then R fails to be ultraconnected iff R contains a subring isomorphic to Zω/P for some free minimal prime ideal P of Zω.

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Faster Circuits And Shorter Formulas For Multiple Addition, Multiplication And Symmetric Boolean Functions, Michael Paterson, Uri Zwick, Nicholas Pippenger Jan 1990

Faster Circuits And Shorter Formulas For Multiple Addition, Multiplication And Symmetric Boolean Functions, Michael Paterson, Uri Zwick, Nicholas Pippenger

All HMC Faculty Publications and Research

A general theory is developed for constructing the shallowest possible circuits and the shortest possible formulas for the carry-save addition of n numbers using any given basic addition unit. More precisely, it is shown that if BA is a basic addition unit with occurrence matrix N, then the shortest multiple carry-save addition formulas that could be obtained by composing BA units are of size n1p+o(1)/, where p is the unique real number for which the Lp norm of the matrix N equals 1. An analogous result connects the delay matrix M of the basic addition unit BA and the minimal …

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Arbitrary Order, Hamiltonian Conserving Numerical Solutions Of Calogero And Toda Systems, Donald Greenspan, Andrzej Marciniak Jan 1990

Arbitrary Order, Hamiltonian Conserving Numerical Solutions Of Calogero And Toda Systems, Donald Greenspan, Andrzej Marciniak

Mathematics Technical Papers - Archive

For Calogero and Toda dynamical equations two numerical methods of arbitrary high order, conserving the Hamiltonian are developed. The methods consist of modifications of conventional polynomial extrapolation with the Gragg method used as a basic method. The theoretical study is confirmed by a number of numerical examples.

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Energy Conserving Numerical Solutions Of Simplified Turbulence Equations, Donald Greenspan, Andrzej Marciniak Jan 1990

Energy Conserving Numerical Solutions Of Simplified Turbulence Equations, Donald Greenspan, Andrzej Marciniak

Mathematics Technical Papers - Archive

The purpose of this paper is to develop some numerical methods for solving non-Hamiltonian nonintegrable simplified turbulence equations which conserve the energy. We present two kinds of conservative methods for solving these equations: a second order method which uses simple differences, and an arbitrary high order method based on a modification of conventional polynomial extrapolation.

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On Some Queue Length Controlled Stochastic Processes, Lev M. Abolnikov, Alexander M. Dukhovny, Jewgeni H. Dshalalow Jan 1990

On Some Queue Length Controlled Stochastic Processes, Lev M. Abolnikov, Alexander M. Dukhovny, Jewgeni H. Dshalalow

Mathematics and System Engineering Faculty Publications

The authors study the input, output and queueing processes in a general controlled single-server bulk queueing system. It is supposed that inter-arrival time, service time, batch size of arriving units and the capacity of the server depend on the queue length. The authors establish an ergodicity criterion for both the queueing process with continuous time parameter and the embedded process, study their transient and steady state behavior and prove ergodic theorems for some functionals of the input, output and queueing processes. The following results are obtained: Invariant probability measure of the embedded process, stationary distribution of the process with continuous …

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A Theorem On Many Fixed Points For Nonlinear Operator, Yong Sun, Jingxian Sun Jan 1990

A Theorem On Many Fixed Points For Nonlinear Operator, Yong Sun, Jingxian Sun

Mathematics and System Engineering Faculty Publications

Multiple fixed points of weakly inward mappings are investigated by means of ordinary differential equations in abstract spaces.

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Error Bounds For Two Even Degree Tridiagonal Splines, Gary W. Howell Jan 1990

Error Bounds For Two Even Degree Tridiagonal Splines, Gary W. Howell

Mathematics and System Engineering Faculty Publications

We study a C(¹) parabolic and a C(²) quartic spline which are determined by solution of a tridiagonal matrix and which interpolate subinterval midpoints. In contrast to the cubic C(²) spline, both of these algorithms converge to any continuous function as the length of the largest subinterval goes to zero, regardless of “mesh ratios”. For parabolic splines, this convergence property was discovered by Marsden [1974]. The quartic spline introduced here achieves this convergence by choosing the second derivative zero at the breakpoints. Many of Marsden’s bounds are substantially tightened here. We show that for functions of two or fewer coninuous …

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A Statistical Theory Of Digital Circuit Testability, Sharad C. Seth, Vishwani D. Agrawal, Hassan Farhat Jan 1990

A Statistical Theory Of Digital Circuit Testability, Sharad C. Seth, Vishwani D. Agrawal, Hassan Farhat

Mathematics Faculty Publications

When test vectors are applied to a circuit, the fault coverage increases. The rate of increase, however, could be circuit dependent. A relation between the average fault coverage and circuit testability is developed in this paper. The statistical formulation allows computation of coverage for deterministic and random vectors. We discuss the following applications of this analysis: determination of circuit testability from fault simulation, coverage prediction from testability analysis, prediction of test length, and test generation by fault sampling.

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Density Continuity Versus Continuity, Krzysztof Ciesielski Jan 1990

Density Continuity Versus Continuity, Krzysztof Ciesielski

Faculty & Staff Scholarship

Real-valued functions of a real variable which are continuous with respect to the density topology on both the domain and the range are called density continuous. A typical continuous function is nowhere density continuous. The same is true of a typical homeomorphism of the real line. A subset of the real line is the set of points of discontinuity of a density continuous function if and only if it is a nowhere dense F\sigma set. The corresponding characterization for the approximately continuous functions is a first category F\sigma set. An alternative proof of that result is given. Density …

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The Automorphism Groups Of The Hyperelliptic Surfaces, Curtis Bennett, Rick Miranda Jan 1990

The Automorphism Groups Of The Hyperelliptic Surfaces, Curtis Bennett, Rick Miranda

Mathematics, Statistics and Data Science Faculty Works

In this paper, the automorphism groups of the seven classes of the so- called hyperelliptic surfaces are calculated. Writing these as (E×F)/G, where E and F are elliptic curves and G is a finite group of translations of E acting on F not only as translations, covering space theory is then used to calculate the automorphisms. Letting M be the centralizer of G in Aut(E)×Aut(F), it is then noted that in all cases M is generated by its E-translations, its F-translations, its E- automorphisms, and its F-automorphisms. Finally, two tables list the automorphism groups …

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An Extension Of Essentially Non-Oscillatory Shock-Capturing Schemes To Multi-Dimensional Systems Of Conservation Laws, Jay Casper Jan 1990

An Extension Of Essentially Non-Oscillatory Shock-Capturing Schemes To Multi-Dimensional Systems Of Conservation Laws, Jay Casper

Mathematics & Statistics Theses & Dissertations

In recent years, a class of numerical schemes for solving hyperbolic partial differential equations has been developed which generalizes the first-order method of Godunov to arbitrary order of accuracy. High-order accuracy is obtained, wherever the solution is smooth, by an essentially non-oscillatory (ENO) piecewise polynomial reconstruction procedure, which yields high-order pointwise information from the cell averages of the solution at a given point in time. When applied to piecewise smooth initial data, this reconstruction enables a flux computation that provides a time update of the solution which is of high-order accuracy, wherever the function is smooth, and avoids a Gibbs …

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Van Lier Sequences, Peter C. Fishburn, Fred S. Roberts, Helen M. Marcus-Roberts Jan 1990

Van Lier Sequences, Peter C. Fishburn, Fred S. Roberts, Helen M. Marcus-Roberts

Department of Mathematics Faculty Scholarship and Creative Works

We study two types of sequences of positive integers which arise from problems in the measurement of comparative judgements of probability. The first type consists of the Van Lier sequences, which are nondecreasing sequences x1, x2,...,xn of positive integers that start with two 1's and have the property that, whenever j

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The Impact Of The Capital Construction Fund On The Rhode Island Commercial Fishing Industry, Paul R. Helland Jan 1990

The Impact Of The Capital Construction Fund On The Rhode Island Commercial Fishing Industry, Paul R. Helland

Marine Affairs Theses and Major Papers

The impact of the Capital Construction Fund, a tax deferral program utilized for the construction of fishing vessels, is examined in the context of Rhode Island's fishing industry. It was believed that the Capital Construction Fund contributed to overcapitalization, was an incentive to purchase a vessel, and was mainly used by individuals targeting underutilized species. Indicators of capitalization such as number, size, and ages of vessels owned were gathered from the owners of vessels home-ported in Rhode Island during personal interviews. Response of those that have used the Program were separated from those who have not. A frequency analysis was …

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Bivariate C1 Quadratic Finite Elements And Vertex Splines, Tian-Xiao He Jan 1990

Bivariate C1 Quadratic Finite Elements And Vertex Splines, Tian-Xiao He

Scholarship

No abstract provided.

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The Linear Least Squares Problem Of Bundle Adjustment, Joseph Walker Woodard Jan 1990

The Linear Least Squares Problem Of Bundle Adjustment, Joseph Walker Woodard

UNF Graduate Theses and Dissertations

A method is described for finding the least squares solution of the overdetermined linear system that arises in the photogrammetric problem of bundle adjustment of aerial photographs. Because of the sparse, blocked structure of the coefficient matrix of the linear system, the proposed method is based on sparse QR factorization using Givens rotations. A reordering of the rows and columns of the matrix greatly reduces the fill-in during the factorization. Rules which predict the fill-in for this ordering are proven based upon the block structure of the matrix. These rules eliminate the need for the usual symbolic factorization in most …

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Pumps, Filters, And Lenses; Humanistic Issues In Calculus Reform, Dan Kalman Dec 1989

Pumps, Filters, And Lenses; Humanistic Issues In Calculus Reform, Dan Kalman

Humanistic Mathematics Network Journal

No abstract provided.

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Reflections On Attending Three Contributed Paper Sessions On Humanistic Mathematics In Phoenix 1989, Peter Flusser Dec 1989

Reflections On Attending Three Contributed Paper Sessions On Humanistic Mathematics In Phoenix 1989, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.

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Hassler Whitney 1907-1989: Some Recollections, 1979·1989, Anneli Lax Dec 1989

Hassler Whitney 1907-1989: Some Recollections, 1979·1989, Anneli Lax

Humanistic Mathematics Network Journal

No abstract provided.

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Lessons From Cognitive Theory For Teaching Mathematical Modeling To Freshmen, Richard H. Elderkin Dec 1989

Lessons From Cognitive Theory For Teaching Mathematical Modeling To Freshmen, Richard H. Elderkin

Humanistic Mathematics Network Journal

No abstract provided.

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The Visits Of Hassler Whitney To Brazil: Hassler Whitney, In Memoriam, Ubiratan D'Ambrosio Dec 1989

The Visits Of Hassler Whitney To Brazil: Hassler Whitney, In Memoriam, Ubiratan D'Ambrosio

Humanistic Mathematics Network Journal

No abstract provided.

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Tapping Creativity And Ingenuity Of Liberal Arts Majors In A Math Course, Helen Christensen Dec 1989

Tapping Creativity And Ingenuity Of Liberal Arts Majors In A Math Course, Helen Christensen

Humanistic Mathematics Network Journal

No abstract provided.

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