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On The Relative K(2) Of Non Commutative Local Rings., Robert B. Russell Jan 1988

On The Relative K(2) Of Non Commutative Local Rings., Robert B. Russell

LSU Historical Dissertations and Theses

This dissertation examines topics in Algebraic K-Theory, concerning the computation of absolute and relative Milnor groups, K$\sb2$(R) and K$\sb2$(R,I), for both commutative and non-commutative classes of rings, including the relative K$\sb2$ of non-commutative (not necessarily commutative) rings, and the absolute K$\sb2$ of commutative semilocal rings. Our main theorem is a natural extension of a result by Maazen and Stienstra (H. Maazen and J. Steinstra, A presentation of K$\sb2$ of split radical pairs, J. Pure Appl. Algebra 10(1977), 271-294) which determines the relative K$\sb2$ of rings in a commutative setting. We prove the non-commutative analog of this result for local rings. …

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On Roundedness In Matroid Theory., Talmage James Reid Jan 1988

On Roundedness In Matroid Theory., Talmage James Reid

LSU Historical Dissertations and Theses

This thesis studies the relationship between subsets and specified minors in a 3-connected matroid. For positive integers k and m, a set S of k-connected matroids is (k,m)-rounded if it satisfies the following condition. Whenever M is a k-connected matroid having an S-minor and X is a subset of E(M) with at most m elements, then M has an S-minor using X. Oxley characterized the (3,2)-rounded sets that contain a single matroid. In Chapter 2, we obtain an analog of this result for binary matroids. In Chapter 3, we use this result to characterize the pairs of matroids which form …

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On Matroid Connectivity., Safwan Akkari Jan 1988

On Matroid Connectivity., Safwan Akkari

LSU Historical Dissertations and Theses

Certain classes of 2- and 3-connected matroids are studied in this thesis. In Chapter 2 we give a characterization of those 2-connected matroids M with the property that, for a given positive integer m, the deletion of every non-empty subset of M having at most m elements is disconnected. A bound on the maximum number of elements of such a matroid in terms of its rank is also given, along with a complete description of the matroids attaining this bound. These results extend results of Murty and Oxley for minimally 2-connected matroids. A characterization of the 3-connected matroids M that …

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Lie Group And Control Theory., Inheung Chon Jan 1988

Lie Group And Control Theory., Inheung Chon

LSU Historical Dissertations and Theses

Let G be a Lie group, L(G) its Lie algebra. If S is a closed subsemigroup of G, we define its tangent set L(S) by L(S) = $\{$X $\in$ L(G): exp(tX) $\in$ S for t $\geq$ 0$\}$. It is a standard result that L(S) is a closed convex cone--indeed a special such called a Lie wedge. In specific examples it is generally not so difficult to determine L(S) given S. However, in the reverse direction, it is often quite difficult to compute precisely the semigroup generated by exp(L(S)) (the so-called infinitesimally generated subsemigroup) and determine whether it is all of …

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The Congruence Extension Property For Algebraic Semigroups., Josefa I. Garcia Jan 1988

The Congruence Extension Property For Algebraic Semigroups., Josefa I. Garcia

LSU Historical Dissertations and Theses

A semigroup has the congruence extension property (CEP) provided that each congruence on each subsemigroup can be extended to the semigroup. This property, along with the ideal extension property (IEP) and the group congruence extension property (GCEP) are studied in this work. Whether each of these properties is productive, hereditary or preserved by homomorphisms is determined (except for the homomorphic property for CEP). Conditions under which the homomorphic image of a semigroup with CEP has CEP are established. Disruptive element and disruptive pair theory is developed and shown to be an important concept in the study of CEP and IEP. …

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Interpolation Of Besov-Spaces, Ronald A. Devore, Vasil A. Popova Jan 1988

Interpolation Of Besov-Spaces, Ronald A. Devore, Vasil A. Popova

Faculty Publications

We investigate Besov spaces and their connection with dyadic spline approximation in Lp(Omega), 0 < p (less than or equal to) infinity. Our main results are: the determination of the interpolation spaces between a pair of Besov spaces; an atomic decomposition for functions in a Besov space; the characterization of the class of functions which have certain prescribed degree of approximation by dyadic splines.

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The Relationship Between The Initial Screening Instrument And The California Achievement Test In Kindergarten, Alana F. Losonsky Jan 1988

The Relationship Between The Initial Screening Instrument And The California Achievement Test In Kindergarten, Alana F. Losonsky

Theses and Dissertations

The purpose of this study was to determine if there was a relationship between the scores of kindergarten children on the Initial Screening Instrument (ISI) and the California Achievement Test (CAT). The subjects were 100 students who did not receive a passing score of seven on the ISI and 100 students who did receive seven or above in an urban public school system. The Pearson Product-Moment Correlation Coefficient was used to compute the correlation coefficients. A significant relationship was found in Sound Recognition, Mathematical Concepts and the Composite Score. Sex and racial differences were also significant for children receiving scores …

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Eighth-Grade Pre-Algebra: Rationale And Suggested Course Of Study, Carolyn C. Holland Jan 1988

Eighth-Grade Pre-Algebra: Rationale And Suggested Course Of Study, Carolyn C. Holland

Theses and Dissertations

The most recent curriculum guide for junior-high mathematics published by the Muscogee County School District and distributed in February, 1988, identifies five mathematics courses that may be offered in the Junior high schools throughout the system. For seventh graders, there are courses in remedial mathematics, regular mathematics, and pre-Algebra. For eighth graders, the guide lists two courses: remedial and regular. Algebra I 1s also offered at the Junior-high level for a select group of eighth-graders who score at or above the 85th percentile on the Iowa Test of Basic Skills and who achieve a minimum score of 37 on the …

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Nova University Handbook For Gem Practicums Translating Educational Research To Improvement Of Educational Practice Educational Text Series 1988 Sixth Edition, Nova University Jan 1988

Nova University Handbook For Gem Practicums Translating Educational Research To Improvement Of Educational Practice Educational Text Series 1988 Sixth Edition, Nova University

Abraham S. Fischler College of Education and School of Criminal Justice College Archive

No abstract provided.

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The Twentieth Fermat Number Is Composite, Jeff Young, Duncan A. Buell Jan 1988

The Twentieth Fermat Number Is Composite, Jeff Young, Duncan A. Buell

Faculty Publications

The twentieth Fermat number, F20 = 22^20 +1, has been proven composite by machine computation.

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Wait Time: A Contributing Factor In Sex-Related Differences In Mathematics Instruction, Gwendolyn Sharpe Jan 1988

Wait Time: A Contributing Factor In Sex-Related Differences In Mathematics Instruction, Gwendolyn Sharpe

Theses and Dissertations

Four intact first year algebra classes and two teachers in a rural county of Georgia served as subjects for this study on wait time. The students were identified as high, medium, and low academic achievers on the basis of their performance on the math portion of the Iowa Tests of Basic Skills. Wait time was measured from the video camera-recorded teaching sessions. Based upon the results of t-tests, no significant difference was found between the mean wait times given to boys and girls. An analysis of variance indicated significant differences among achievement levels. Low and high achievers were given more …

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Dual Pricing: Theory And Applications., Shikha Jha Dr. Dec 1987

Dual Pricing: Theory And Applications., Shikha Jha Dr.

Doctoral Theses

Even after thirty five yaara of planned economic develogment a large fraction of people in India cannot afford to have the basic necessities Like food, clothing and shelter. To quote from the Econonic Survey [1984-85), Buoyant agricultural parformance thus far has dependad mainly upon production gains in wheat and rice. Performance with raspect to other critical crops, such as pulser and oilseeds, and dryland farning generally, remains veak. The rate of growth of industry, although somewhat higher than in the ten years preceding the sixth Plan, remains low... population continues to grow at about 2 percent per year. At this …

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Integer Squares With Constant Second Difference, Duncan A. Buell Oct 1987

Integer Squares With Constant Second Difference, Duncan A. Buell

Faculty Publications

The problem addressed is this: Do there exist nonconsecutive integers n0, n1, n2, . . ., such that the second differences of the squares of the ni are constant? Specifically, can that constant be equal to 2? A complete characterization of sequences of length four can be given. The question of whether or not sequences of length five exist is still open but the existence or nonexistence of such sequences can be described in a more algorithmic way than the simple statement of the problem.

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Sequentially Compact, Franklin-Rajagopalan Spaces, Peter J. Nyikos, J. E. Vaughan Sep 1987

Sequentially Compact, Franklin-Rajagopalan Spaces, Peter J. Nyikos, J. E. Vaughan

Faculty Publications

No abstract provided.

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Σary, Moorhead State University, Mathematics Department May 1987

Σary, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

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Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma May 1987

Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma

Faculty Work Comprehensive List

If there is one aspect of mathematics education that frustrates both students and teachers alike, it has got to be learning how to do valid proofs. Students often feel they really know the mathematics they're studying but that their teachers place some unreasonably stringent demands upon their arguments. Teachers, on the other hand, can't understand where their students get some of the wacky arguments they come up with. They argue in circles, they end up proving a different result from what they claim, they make false statements, they draw invalid inferences - it can be quite exasperating at times! Unfortunately, …

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Extensions Of Gromov Theory., Sumanta Guha Dr. Feb 1987

Extensions Of Gromov Theory., Sumanta Guha Dr.

Doctoral Theses

Gromov formulated and proved a very general Smale - Hirsch - Phillips type theorem. The theorem concerns the claseification of a class of cross-sections o of a smooth fibre bundle E X over a non-closed manifold X such that each r-jet j(0) satisfies an openness condition as well es a stability condition. Briefly, the openness condition is that each j(a) is a cross-section of some preacribed open subbundle of the bundle of r-jets of local oross- sections of EX, and. the etability condition is that this subbundle remain invarient under the action of the paeudogroup of local diffeo- morphisme of …

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Numerical Solution Of Subsidence Mound Problems In Porous Media, Peter Laurens Schuck Jan 1987

Numerical Solution Of Subsidence Mound Problems In Porous Media, Peter Laurens Schuck

Digitized Theses

From the macroscopic equations of flow through a porous medium, a model is developed for the subsidence or decay of a mound of fluid over a horizontal impervious barrier. Three finite difference approaches are used to investigate the resulting moving boundary problem. In the first method, a coordinate transformation is used that fixes the toe or leading edge of the fluid location. The resulting problem is solved on a regular grid with interpolation near the moving boundary. In the second method, a coordinate transformation is employed that fixes the location of the entire boundary while in the third method, a …

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Fluid Flow Within Porous Media, Greg Fischer Jan 1987

Fluid Flow Within Porous Media, Greg Fischer

Honors Capstones

The objective of this project is to observe the flow of fluid within a saturated, rectangular, two-dimensional, porous media that is being heated from the side.

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What Is The Square Root Of 2?, Kristine A. Beernink Jan 1987

What Is The Square Root Of 2?, Kristine A. Beernink

Honors Capstones

In mathematics, we are always told that when there are two methods for doing some problem, they will always yield the same results. In this paper, I will see if this is true when using two methods for constructing the real numbers.

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Abstract Wiener Space Approach To Hida Calculus (Brownian Motion)., Youngsook Lee Shim Jan 1987

Abstract Wiener Space Approach To Hida Calculus (Brownian Motion)., Youngsook Lee Shim

LSU Historical Dissertations and Theses

Let $\cal S$ be the Schwartz space of rapidly decreasing real functions on ${\rm I\!R.}$ The dual space ${\cal S}\sp\ast$ of $\cal S$ consists of tempered distributions. The inclusion maps ${\cal S}\subset{\rm L\sp2(I\!R)}\subset{\cal S}\sp\ast$ are continuous. Hida's theory of Brownian and generalized Brownian functionals is the study of functionals defined on ${\cal S}\sp\ast.$ In this dissertation, the triple ${\cal S}\subset{\rm L\sp2(I\!R)}\subset{\cal S}\sp\ast$ is replaced by an abstract Wiener space ${\rm B}\sp\ast$ $\subset$ H $\subset$ B and an abstract version of Hida's theory is developed. The Gaussian measure on ${\cal S}\sp\ast$ in Hida's calculus is replaced by the standard Gaussian measure …

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Group Actions On Minimal Functions Over Finite Fields., Francisco Rivero Jan 1987

Group Actions On Minimal Functions Over Finite Fields., Francisco Rivero

LSU Historical Dissertations and Theses

This work deals with the Fourier transform over finite fields. A notion of minimal function for the Fourier transform is defined. The minimal functions are shown to be a generalization of the famous Legendre symbol $\Psi$. The minimal functions are studied here in terms of group actions, allowing both upper and lower estimates on the size of the set of all minimal functions. These estimates are sufficient to settle a conjecture of O. C. McGehee on the number of minimal functions.

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A Comparison Of A Computer Programming Approach To A Textbook Approach In Teaching The Mathematics Concept "Variable" To Sixth Graders., Enrique Ortiz Jan 1987

A Comparison Of A Computer Programming Approach To A Textbook Approach In Teaching The Mathematics Concept "Variable" To Sixth Graders., Enrique Ortiz

LSU Historical Dissertations and Theses

The purpose of this study was to investigate whether there was a significant difference in understanding the concept of variable and in attitudes toward mathematics among sixth-grade students who programmed LOGO graphics, students who used textbook-based activities, and students who received no instruction on the concept of variable. The subjects were 89 sixth-grade students (47 female, 42 male) from two middle schools in the East Baton Rouge Parish School System. The Test of Logical Thinking (TOLT), Robustness Semantic Differential (RSD), and Comprehensive Test of Basic Skills (CTBS) were administered as pre-treatment tests. The study was conducted in two phases, pre-treatment …

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Estimational Abilities And Mathematics Achievement Of Seventh Graders, Mary Elizabeth Mendenhall Jan 1987

Estimational Abilities And Mathematics Achievement Of Seventh Graders, Mary Elizabeth Mendenhall

Theses and Dissertations

Computational estimation and mental computation are two of the most neglected areas of today's mathematical curriculum. Much has been written about these two concepts, but little instruction has been carried out in the classroom (Johnson, 1979; Reys, 1986). Freeman (cited in Reys & Bestgen, 1981) states that less than 3% of textbooks had estimation lessons. Reys (1987) found that only 4% of lessons in all fourth-grade textbooks of the early 1980's deal with estimation. Also, Buchanan (1978, p. 2) observes that: "Instruction in. estimation is not something that has been tried and failed; it has not been tried on any …

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Class Groups Of Quadratic Fields Ii, Duncan A. Buell Jan 1987

Class Groups Of Quadratic Fields Ii, Duncan A. Buell

Faculty Publications

A computation has been made of the noncyclic class groups of imaginary quadratic fields Q(√-D) for even and odd discriminants - D from 0 to - 25000000. Among the results are that 95% of the class groups are cyclic, and that -11203620 and -18397407 are the first discriminants of imaginary quadratic fields for which the class group has rank three in the 5-Sylow subgroup. The latter was known to be of rank three; this computation demonstrates that it is the first odd discriminant of 5-rank three or more.

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Seventh-Grade Student Achievement In Length, Perimeter, Area And Volume, Cathy Pierce Jan 1987

Seventh-Grade Student Achievement In Length, Perimeter, Area And Volume, Cathy Pierce

Theses and Dissertations

This study was designed to measure seventh-grade achievement in finding length, perimeter, area and volume when four different presentations of the problem were given: standard textbook problems, word problems, students measuring, and problems labeled differently than the standard textbook problems. Each of the 235 subjects took one of four different measurement skills testes developed by the researcher. Results indicate student achievement decreases as the complexity of the attribute increases. Overall, students found standard textbook problems the easiest to solve, followed by word problems, and students measuring, respectively. Problems labeled differently than the standard textbook problem were the most difficult for …

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Effects Of Journal Writing On Thinking Skills Of High School Geometry Students, Mary Mcmahon Linn Jan 1987

Effects Of Journal Writing On Thinking Skills Of High School Geometry Students, Mary Mcmahon Linn

UNF Graduate Theses and Dissertations

The purpose of the project was to determine the effects of journal writing on the thinking skills of high school geometry students. The research supports the idea that writing can enhance a student's metacognitive ability. The results show that the journals served effectively in various capacities. Each student became actively involved in his or her own learning process. Writing forced the students to synthesize information and they became aware of what they did and did not know. They recognized their individual learning style and strengths and began to take advantage of those strengths. The journals served as a diagnostic tool …

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Approximation By Rational Functions, Ronald A. Devore Dec 1986

Approximation By Rational Functions, Ronald A. Devore

Faculty Publications

Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f' is in L log L on a finite interval, then f can be approximated in the uniform norm by rational functions of degree n to an error 0(1/n) on that interval.

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Alfred Tarski And Undecidable Theories, George F. Mcnulty Dec 1986

Alfred Tarski And Undecidable Theories, George F. Mcnulty

Faculty Publications

No abstract provided.

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The Application Of A Behavior Management System To Increase Mathematics Academic Performance Of Secondary Learning Disabled Students, Joyce L. Stockdale Jun 1986

The Application Of A Behavior Management System To Increase Mathematics Academic Performance Of Secondary Learning Disabled Students, Joyce L. Stockdale

Abraham S. Fischler College of Education ETD Archive

The author developed and implemented a behavior management program designed to aide learning disabled (LD) students in a large metropolitan school district. The objectives of the program were to help the LD students increase their grade level performance skills in mathematics, to reduce inappropriate behaviors which were interfering with their learning, and to assist the students in the development of a positive attitude toward mathematics, themselves, peers, adults and the school. The identified behaviors were: Tardiness to class, Walking around aimlessly, Unprepared for class, Talking out, Drawing and/or writing on tables, walls, desks and other school materials. The components of …

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