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On Inequivalent Representations Of Matroids Over Finite Fields, James Oxley, Dirk Vertigan, Geoff Whittle Jan 1996

On Inequivalent Representations Of Matroids Over Finite Fields, James Oxley, Dirk Vertigan, Geoff Whittle

Faculty Publications

Kahn conjectured in 1988 that, for each prime power q, there is an integer n(q) such that no 3-connected GF(q)-representable matroid has more than n(q) inequivalent GF(q)-representations. At the time, this conjecture was known to be true for q = 2 and q = 3, and Kahn had just proved it for q = 4. In this paper, we prove the conjecture for q = 5, showing that 6 is a sharp value for n(5). Moreover, we also show that the conjecture is false for all larger values of q. © 1996 Academic Press, Inc.

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Extension Sets For Real Analytic Functions And Applications To Radon Transforms, Vernor Arguedas, Ricardo Estrada Jan 1996

Extension Sets For Real Analytic Functions And Applications To Radon Transforms, Vernor Arguedas, Ricardo Estrada

Faculty Publications

The real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s) = f(s cos θ, s sin θ) for θ ∈ E, where Ε is a "small" set A support theorem for Radon transforms in the plane is proved In particular if fθ extends to an entire function for θ ∈ Ε and ƒ (x, y) is real analytic in R2 then it also extends to an entire function in C2. © 1996, Hindawi Publishing Corporation. All rights reserved.

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Multigrid Methods For Parameter Dependent Problems, Susanne C. Brenner Jan 1996

Multigrid Methods For Parameter Dependent Problems, Susanne C. Brenner

Faculty Publications

Multigrid methods for parameter dependent problems are discussed. The contraction numbers of the algorithms are proved within a unifying framework to be bounded away from one, independent of the parameter and the mesth levels. Examples include the pure displacement and pure traction boundary value problems in planar linear elasticity, the Timoshenko beam problem, and the Reissner-Mindlin plate problem.

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The Intuitive Geometry Of Spinoza And Vermeer, Russell B. Gill Jan 1996

The Intuitive Geometry Of Spinoza And Vermeer, Russell B. Gill

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

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The Spirit Of Poetry And The Importance Of Joy Shelley's Revolutionary Animism, John Freeman Jan 1996

The Spirit Of Poetry And The Importance Of Joy Shelley's Revolutionary Animism, John Freeman

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

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Enacting The Tyranny Of Social Forms In Sheridan's The Rivals, Robert P. Maccubbin Jan 1996

Enacting The Tyranny Of Social Forms In Sheridan's The Rivals, Robert P. Maccubbin

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

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Analytic Approximations To The Spacetime Of A Critical Gravitational Collapse, Richard H. Price, Jorge Pullin Jan 1996

Analytic Approximations To The Spacetime Of A Critical Gravitational Collapse, Richard H. Price, Jorge Pullin

Faculty Publications

We present analytic expressions that approximate the behavior of the spacetime of a collapsing spherically symmetric scalar field in the critical regime first discovered by Choptuik. We find that the critical region of spacetime can usefully be divided into a "quiescent," an "oscillatory," and a moving "transition" region. We find that in the quiescent and oscillatory regions the critical solution can be well approximated by a flat spacetime scalar field solution. A qualitative nonlinear matching of the solutions across the transition region yields the right order of magnitude for the oscillations of the discretely self-similar critical solution found by Choptuik. …

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A Passive Vibration Isolation Stack For Ligo: Design, Modeling, And Testing, Joseph Giaime, Partha Saha, David Shoemaker, Lisa Sievers Jan 1996

A Passive Vibration Isolation Stack For Ligo: Design, Modeling, And Testing, Joseph Giaime, Partha Saha, David Shoemaker, Lisa Sievers

Faculty Publications

Multiple-stage seismic vibration isolation stacks, which consist of alternating layers of stiff masses and compliant springs, can provide significant passive filtering of. ground vibration for experiments and equipment that are sensitive to mechanical noise. We describe the design, modeling and testing of a prototype of a stack suitable for use in the Laser Interferometer Gravitational-wave Observatory (LIGO). This is a four-stage elastomer (spring) and stainless steel (mass) stack, consisting of a table resting on three separate legs of three layers each. The viscoelastic properties of elastomer springs are exploited to damp the stack's normal modes while providing rapid roll-off of …

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Longitudinal Dispersion And Interstitial Velocity Relationship In Subsurface Flow Constructed Wetlands., Gianna M. Cothren Jan 1996

Longitudinal Dispersion And Interstitial Velocity Relationship In Subsurface Flow Constructed Wetlands., Gianna M. Cothren

LSU Historical Dissertations and Theses

Treatment of municipal and rural wastewater using subsurface flow constructed wetlands (SFCW's) is growing in popularity. These systems often consist of an excavated cell containing 2-3 in. rock with the wastewater level maintained below the media surface. A SFCW is a natural form of wastewater treatment which removes organics and nutrients based on the attached growth of microorganisms on crushed rocks where biological reactions take place. The currently accepted design procedure is based on the first order plug flow model, although tracer studies have shown that flow conditions are not well represented by the plug flow condition. This design rationale …

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Crystal Plasticity Model With Back Stress Evolution., Wei Huang Jan 1996

Crystal Plasticity Model With Back Stress Evolution., Wei Huang

LSU Historical Dissertations and Theses

In this work, two backstress models and a modified yield criterion for crystalline materials are proposed. The proposed work is for the identification of texture development in metals when subjected to large deformation processes such as rolling, extrusion, stamping and deep drawing, etc. These models are incorporated into a numerical procedure similar to the approaches by Asaro (1983), Peirce et al. (1983), Nemat-Nasser (1983), and Rashid and Nemat-Nasser (1992). Also, similar to their approaches, a two-dimensional crystal structure is used for a feasibility study of the model by solving a simple shear problem. More importantly, the proposed formulations are strain …

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Le Temps Dans Les Oeuvres De Jorge Luis Borges, Edouard Glissant Et Saint-John Perse., Valerie Irene Loichot Jan 1996

Le Temps Dans Les Oeuvres De Jorge Luis Borges, Edouard Glissant Et Saint-John Perse., Valerie Irene Loichot

LSU Historical Dissertations and Theses

This dissertation compares conceptions of time as they appear in the works of Jorge Luis Borges, Edouard Glissant and Saint-John Perse. It attempts to stage a series of encounters among these writers, encounters or "relatings" in the sense of correlation and narration. The first relation is that expressed by Paul Ricoeur, who states that time becomes human only when it is articulated in narration and narration becomes human only when it describes the features of temporal experience. The second relation, or set of relations, occurs in the plural, interrupted, yet interconnected topos of the Americas. Through an analysis of the …

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Walker Percy's Return To The Feminine., John Patrick Zmirak Jr Jan 1996

Walker Percy's Return To The Feminine., John Patrick Zmirak Jr

LSU Historical Dissertations and Theses

What has been lacking in the corpus of interpretation of Walker Percy's work is a synthesis of approaches, a reading of the novels that unites the philosophical, psychological, theological, and linguistic insights that have accrued over three decades of criticism, and applies them to the vexing question of sexuality within his novels. In the present work, Percy's four central, non-satiric novels, The Moviegoer, The Last Gentleman, Lancelot and The Second Coming, are analyzed in the light of the Christian allegorical tradition, which employs sexual categories to explicate the meta-physical order, and to inform sexuality with meaning. In each of Percy's …

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The Generalized Kompaneets Equation., Kunyang Wang Jan 1996

The Generalized Kompaneets Equation., Kunyang Wang

LSU Historical Dissertations and Theses

In the dissertation, the generalized Kompaneets equation$${\partial u\over\partial t}={1\over\beta(x)}\lbrack\alpha(x)(u\sb{x}+ku+F(x,u))\rbrack\sb{x}$$(for $x,t>0)$ is studied. For the linear case, when $F\equiv0,$ a complete theory is given. A brief discussion is carried for the nonlinear case when $F(x,u)=f(x)g(u).$. For the following equation,$$v\sb{t}=\varphi(y,v\sb{y})v\sb{yy}+\psi(y,v,v\sb{y}),$$Goldstein and Lin's result is extended to degenerate case. Also, for the following linear operator,$$Au=\alpha(x)u\prime\prime+\beta(x)u\prime$$(for $x\in \lbrack 0,$ 1)), Clement and Timmermans' result is extended to the case of discontinuous coefficients $\alpha$ and $\beta$.

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Some Lifting Problems In Arithmetic Equivalence., Nancy C. Colwell Jan 1996

Some Lifting Problems In Arithmetic Equivalence., Nancy C. Colwell

LSU Historical Dissertations and Theses

The main theorem in this dissertation provides a partial answer to the following question: Given a $\doubz\sb{p}$-extension $F{\sb\infty} /F$ and a finite extension $K/F$, where F is a number field and p a prime number, to what extent does the K-splitting behavior the prime ideals of F determine the Iwasawa invariants of the $\doubz\sb{p}$-extension $K{\cdot}F{\sb\infty}/K$. The answer is that if two fields K and L are arithmetically equivalent over F, then $K{\cdot}F{\sb\infty} /K$ and $L{\cdot}F{\sb\infty} /L$ have exactly the same Iwasawa invariants for any $\doubz\sb{p}$-extension $F{\sb\infty} /F$, so long as p is not an exceptional divisor for K and L …

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Existence And Uniqueness Theorems For Some White Noise Integral Equations., Dongya Zou Jan 1996

Existence And Uniqueness Theorems For Some White Noise Integral Equations., Dongya Zou

LSU Historical Dissertations and Theses

Let $({\cal S})\sbsp{\beta}{*},0\le\beta<1,$ be the Kondratiev-Streit spaces of generalized functions. Let $f:\lbrack 0,T\rbrack\times ({\cal S})\sbsp{\beta}{*}\to ({\cal S})\sbsp{\beta}{*},$ be weakly measurable, and satisfy a growth condition and a Lipschitz condition. Let $\theta :\lbrack 0, T\rbrack\to ({\cal S})\sbsp{\beta}{*},$ be weakly measurable and satisfy a growth condition. Then it is shown that the white noise integral equation $X\sb{t}=\theta\sb{t}+\int\sbsp{0}{t}f(s, X\sb{s})ds,0\le t\le T,$ has a unique solution in $({\cal S})\sbsp{\beta}{*}$, where the integral is a white noise integral in the Pettis or Bochner sense. This result is extended to ${\cal M}\sp*$, the Meyer-Yan distribution space. Some special equations are also solved explicitly. For $F\in L\sp2({\bf R}\sp+)$, let $A\sb{s}=\int\sbsp{-\infty}{s} F(s-u)\partial\sb{u}du,\ E\sb{s}= {\rm exp}(A\sb{s}),$ and $A\sbsp{s}{*},\ E\sbsp{s}{*}$ be their duals, respectively. The equation $X\sb{t}=\theta\sb{t}+\int\sbsp{0}{t} A\sbsp{s}{*}X\sb{s}ds, t\in\lbrack 0,T\rbrack,$ is solved in $({\cal S})\sp*$ or $(L\sp2)$, and the equation $X\sb{t}=\theta\sb{t}+\int\sbsp{0}{t} E\sbsp{s}{*}X\sb{s}ds, t\in\lbrack 0, T\rbrack,$ is solved in ${\cal M}\sp*,$ where $\theta$ is as above. Moreover, under certain conditions on $\theta,\Phi:\lbrack 0,T\rbrack\to ({\cal S})\sp*$ and $\sigma:\lbrack 0,T\rbrack\sp2\to{\bf R},$ the Volterra equation $X\sb{t}=\theta\sb{t}+\int\sbsp{0}{t}\sigma(t,s)\Phi\sb{s}\ {\rm o}\ X\sb{s}ds, t\in\lbrack 0,T\rbrack,$ is also solved, and its solution is in ${\cal M}\sp*, ({\cal S})\sbsp{\beta}{*},$ or $(L\sp2),$ depending on the growth conditions for $\theta$ and $\Phi.$ Finally, for a suitable deterministic function f, the white noise partial differential equation ${\partial u\over\partial t}=\Delta u+:e\sp{\dot B\sb{x}}: {\rm o}\thinspace u, u(0,x)=f(x),x\in{\bf R}\sp{n}, t\in\lbrack 0,\infty),$ is solved in ${\cal M}\sp*$.

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Applications Of Grobner Bases To Linear Codes., Jeanne Fitzgerald Jan 1996

Applications Of Grobner Bases To Linear Codes., Jeanne Fitzgerald

LSU Historical Dissertations and Theses

Put $A={\bf F}\sb{q}\lbrack x\sb1,\...,x\sb{s}\rbrack,$ and let I be an ideal of A. Let $P\sb1,\...,P\sb{n}$ be all the ${\bf F}\sb{q}$-rational points of $V(I)$. Define a map $\varphi:A/I\to{\bf F}\sbsp{q}{n}$ by $\varphi(\tilde f)=(f(P\sb1),\...,f(P\sb{n})),$ where f is any preimage of $\tilde f$ under the canonical map from A to $A/I.$ Let $\{\tilde f\sb{i}\vert i\in {\bf N}\}$ be a basis of $A/I$ as an ${\bf F}\sb{q}$-vector space. Define the affine variety code C and its dual $C\sp\perp$ by$$C=\varphi(\langle\tilde f\sb1,\...,\tilde f\sb{m}\rangle);$$C$\sp\perp$ is the orthogonal complement of C with respect to the usual inner product in ${\bf F}\sbsp{q}{n}$. We show that any linear code can be expressed …

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Szasz-Muntz Theorems For Nilpotent Lie Groups., Darwyn C. Cook Jan 1996

Szasz-Muntz Theorems For Nilpotent Lie Groups., Darwyn C. Cook

LSU Historical Dissertations and Theses

The classical Szasz-Muntz theorem says that for $f\ \in\ L\sp2(\lbrack 0, 1\rbrack )$ and $\{n\sb{k}\}\sbsp{k=1}{\infty}$ a strictly increasing sequence of positive integers,$$\int\limits\sbsp{0}{1}x\sp{n\sb{j}}f(x)dx=0\ \forall j\Rightarrow f=0\Leftrightarrow\sum\sbsp{j=1}{\infty}{{1}\over{n\sb{j}}}=\infty.$$We have generalized this theorem to compactly supported functions on $\Re\sp{n}$ and to an interesting class of nilpotent Lie groups. On $\Re\sp{n}$ we rephrased the condition above on an integral against a monomial as a condition on the derivative of the Fourier transform $\ f$. For compactly supported f this transform has an entire extension to complex n-space, and these derivatives are coefficients in a Taylor series expansion of $\ f$. In the nilpotent Lie groups …

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Matroid Connectivity., John Leo Jan 1996

Matroid Connectivity., John Leo

LSU Historical Dissertations and Theses

This dissertation has three parts. The first part, Chapter 1, considers the coefficient $b\sb{ij}(M)$ of $x\sp{i}y\sp{j}$ in the Tutte polynomial of a connected matroid M. The main result characterizes, for each i and j, the minor-minimal such matroids for which $b\sb{ij}(M)>0.$ One consequence of this characterization is that $b\sb{11}(M)>0$ if and only if the two-wheel is a minor of M. Similar results are obtained for other values of i and j. These results imply that if M is simple and representable over $GF(q),$ then there are coefficients of its Tutte polynomial which count the flats of M that …

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Homework Performance In Middle And High School Students: A Comparison Of The Effects Of Goal Setting With And Without Contingent Rewards., Alice L. Kahle Jan 1996

Homework Performance In Middle And High School Students: A Comparison Of The Effects Of Goal Setting With And Without Contingent Rewards., Alice L. Kahle

LSU Historical Dissertations and Theses

Participation in homework has important academic benefits for students. In addition, parents and teachers expect that completion of homework assignments will help students develop independent study skills. Unfortunately, homework problems are common and a significant number of middle school and high school students fail to complete many homework assignments. Goal setting is a procedure that has been applied to homework and targets academic productivity directly. In this study, the efficacy of a self-managed goal setting procedure for improving the homework performance of middle and high school students was evaluated. A combination multiple baseline and alternating treatments design was utilized to …

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On The Homology Of Branched Cyclic Covers Of Knots., Wayne H. Stevens Jan 1996

On The Homology Of Branched Cyclic Covers Of Knots., Wayne H. Stevens

LSU Historical Dissertations and Theses

We consider the sequence of finite branched cyclic covers of $S\sp3$ branched along a tame knot $K : S\sp1\to S\sp3$ and prove several results about the homology of these manifolds. We show that the sequence of cyclic resultants of the Alexander polynomial of K satisfies a linear recursion formula with integral coefficients. This means that the orders of the first homology groups of the branched cyclic covers of K can be computed recursively. We further establish the existence of a recursion formula that generates sequences which contain the square roots of the orders of the odd-fold covers and that contain …

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Artificial Grammar Learning In A Dual Task Paradigm., Barbara Cochran Jan 1996

Artificial Grammar Learning In A Dual Task Paradigm., Barbara Cochran

LSU Historical Dissertations and Theses

A series of experiments explored the effects of performing concurrent secondary tasks on learning letter strings created with a finite state artificial grammar. Experiments 1-2 compared a task which disrupted organized encoding to a task which simply required holding information in memory while encoding strings, as well as to two control tasks. Participants performing the disruptive task were worse at judging the grammaticality of test strings than were participants in the two single task control groups. Performance of the memory load group fell between the disruptive task group and the control groups, but was not significantly different from either. Experiments …

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Tertiary Recovery Of Oil By Up-Dip Gas Injection., Tammy Theresa Bourgoyne Jan 1996

Tertiary Recovery Of Oil By Up-Dip Gas Injection., Tammy Theresa Bourgoyne

LSU Historical Dissertations and Theses

A tertiary gas injection process denotes the mobilization of waterflood residual oil by gas invasion; whereas, secondary gas injection denotes the displacement of a continuous oil phase by gas. The term up-dip gas injection implies that the gas is injected in the crest of the structure in order to displace fluid down-dip where it can be recovered in a production well; whereas, an attic oil recovery process usually implies a cyclic injection/recovery process using a single well. The objective of this study is to develop a technique for modelling relative permeability in a tertiary gas injection process occurring in a …

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A Case-Based Reasoning Approach To Bankruptcy Prediction Modeling., Stephanie Mattox Bryant Jan 1996

A Case-Based Reasoning Approach To Bankruptcy Prediction Modeling., Stephanie Mattox Bryant

LSU Historical Dissertations and Theses

This study examines the usefulness of an artificial intelligence method, case-based reasoning (CBR), in predicting corporate bankruptcy. Based on prior research, CBR is believed to be a viable method of predicting bankruptcy. Hypotheses are developed to test the usefulness of a CBR system and to compare the accuracy of such a system to the model considered to be the benchmark model in bankruptcy prediction, Ohlson's (1980) nine-factor logistic regression (logit) model. Sample data consisting of manufacturing and industrial firms is drawn from the Compustat database in a 20:1 ratio of nonbankrupt to bankrupt firms, consistent with Ohlson's (1980) proportions. Three …

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On-Line Steady-State Gain Identification For On-Line Optimization Of Multivariable Constrained Chemical Processes., Umesh Kishore Chitnis Jan 1996

On-Line Steady-State Gain Identification For On-Line Optimization Of Multivariable Constrained Chemical Processes., Umesh Kishore Chitnis

LSU Historical Dissertations and Theses

The Amoco Model IV Fluidized Catalytic Cracking Unit (FCCU) (McFarlane et al, 1993) was augmented with Lee & Groves Model (1985) to provide for a simple but realistic product distribution model. This enabled a better and realistic on-line optimization of the FCCU. A Supervisory Multivariable Constrained Optimization (SMCO) algorithm was applied to this augmented model. It was observed that the FCC unit is optimized successfully, without violating any constraints. The parabolic error-penalizing function, incorporated in the algorithm allowed the constraints to asymptotically approach the limits without violating them. The on-line optimization to FCC unit led to maximizing of the feeds, …

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An Examination Of The Effects Of Increased Response Requirement And Delay On Reinforcer Selection., Teresa Lynne George Jan 1996

An Examination Of The Effects Of Increased Response Requirement And Delay On Reinforcer Selection., Teresa Lynne George

LSU Historical Dissertations and Theses

This study examined the effect that increased response requirement, or effort, (Study 1) and delay to reinforcement (Study 2) have on reinforcer selection and response allocation. A reinforcer assessment using a token system was conducted within the classroom setting to determine high and low preference stimuli. The independent variable (effort or delay) was systematically manipulated for high preference stimuli. The results for eight participants indicated that increased levels of effort and delay independently influenced reinforcer preference and response allocation. The results revealed highly idiosyncratic responding to the different levels of the independent variables. The findings for increased response requirement are …

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A Polynomial Invariant Of Links In A Solid Torus., Jaehoo Park Kim Jan 1996

A Polynomial Invariant Of Links In A Solid Torus., Jaehoo Park Kim

LSU Historical Dissertations and Theses

A polynomial invariant of links in a solid torus is defined through an algebra $H\sb{n}({1\over2}$). $H\sb{n}({1\over2}$) modulo by an ideal is the type-B Hecke algebra. This invariant satisfies the $S\sb3$-skein relation as in the 1-trivial links case of dicromatic link invariant discovered by J. Hoste and M. Kidwell. A link in the solid torus is isotopic to a closed braid which is a braid in the braid group of the annulus. We find an invariant of links through a represention $\pi$ of the braid group of the annulus to the algebra $H\sb{n}({1\over2}$). A trace map X is defined on a …

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The Effect Of Demand Forecasting On Production Policies And Coordination In Periodic Review Production Systems., Chih-Ming Lee Jan 1996

The Effect Of Demand Forecasting On Production Policies And Coordination In Periodic Review Production Systems., Chih-Ming Lee

LSU Historical Dissertations and Theses

We consider a sequential decision process in a periodic review production system. At the beginning of each period, marketing decides how much money to be invested in demand forecasting. After its decision, marketing obtains the forecast and passes the forecast to production, which then determines production quantity. Centralized and decentralized models are formulated. In the centralized model, the two divisions make their decisions by considering the total profit of the company. In the decentralized model, marketing pays production a unit transfer price for every product sold. Three types of policies about the unit transfer price are considered. In the company …

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Jordan Algebras And Lie Semigroups., Yongdo Lim Jan 1996

Jordan Algebras And Lie Semigroups., Yongdo Lim

LSU Historical Dissertations and Theses

For a Euclidean Jordan algebra V with the corresponding symmetric cone $\Omega$, we consider the semigroup $\Gamma\sb{\Omega}$ of elements in the automorphism group $G(T\sb{\Omega})$ of the tube domain $V$ + $i\Omega$ which can be extended to $\Omega$ and maps $\Omega$ into itself. A study of this semigroup was first worked out by Koufany in connection to Jordan algebra theory and Lie theory of semigroups. In this work we give a new proof of Koufany's results and generalize up to infinite dimensional Jordan algebras, so called $JB$-algebras. One of the nice examples of the semigroup $\Gamma\sb{\Omega}$ is from the Jordan algebra …

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An-Archy And Justice: An Introduction To Emmanuel Levinas's Political Thought., William Paul Simmons Jan 1996

An-Archy And Justice: An Introduction To Emmanuel Levinas's Political Thought., William Paul Simmons

LSU Historical Dissertations and Theses

Emmanuel Levinas's political thought is best understood as a tension between an-archy and justice. Levinas claims that the aim of philosophy has most often been a search for an arche, or a neuter term that accounts for all of reality. Levinas argues that the reduction of reality to an arche obliterates all transcendence and subordinates man to a totality. Against the predominance of totality in the Western tradition, Levinas proposes a philosophy of transcendence. This transcendence is not found in the direct relationship with God, but in the face of the other person, the Other. Since the face of the …

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The Application Of Network Analysis To The Study Of Differentially Effective Schools., Maryann Maxwell Durland Jan 1996

The Application Of Network Analysis To The Study Of Differentially Effective Schools., Maryann Maxwell Durland

LSU Historical Dissertations and Theses

This study applied network analysis to the exploration of the structural characteristics of differentially effective elementary schools within the framework of school effectiveness research. The study took place in two parts: a Pilot Study, using archived data, and a Field Study, using data from a stratified sample of differentially effective schools. The Centrality-Cohesiveness Model of School Effectiveness, developed through the Pilot Study, defined a communication structure as a function of the leadership status of the principal (defined by the principal's centrality) and the cohesiveness of the faculty (defined as network density). Quantitative results from both the Pilot Study and the …

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