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Spaces Of Order Arcs In Hyperspaces Of Subcontinua., Mark James Lynch
Spaces Of Order Arcs In Hyperspaces Of Subcontinua., Mark James Lynch
LSU Historical Dissertations and Theses
Eberhart, Nadler, and Nowell asked for which Peano continua X is it true that (GAMMA)(X), the space of order arcs in C(X), is homeomorphic to the Hilbert cube ? They answered the question affirmatively when X contains no free arcs. In Chapter IV, we characterize those 1-dimensional ANR('s) X for which (GAMMA)(X) is homeomorphic to . In Chapters I and II, we develop techniques for analyzing this problem and, in Chapter III, we also apply these techniques in answering some open questions concerning Whitney levels in C(X).
Development Of A Computer-Assisted Instruction Courseware Package In Statistics And A Comparative Analysis Of Three Management Strategies For This Courseware., Preston Dinkins
LSU Historical Dissertations and Theses
The purpose of this study was to develop and evaluate a tutorial computer-assisted instruction (CAI) lesson teaching the normal distribution and standard scores. Instruction on the normal curve, and unit-normal curve, z-scores, areas under the normal curve, and standard scores was given in this study. This CAI courseware was created in order to teach or review these concepts to graduate students in education. An evaluation of this CAI lesson was conducted. It consisted of a small scale pilot test, and a 2 x 3 factorial design experiment. The pilot test study was conducted so that reaction data to this software …
Some Results About Value Sets Of Quadratic Forms Over Fields., David Litton Foreman
Some Results About Value Sets Of Quadratic Forms Over Fields., David Litton Foreman
LSU Historical Dissertations and Theses
In 1979, Solow defined the square class invariant of a quadratic form q over a field F to be a function from the square classes of F into the integers. For each square class of F, this function indicates the maximum number of coefficients in all diagonalized quadratic forms equivalent to q that lie in that square class. The intent of Chapter I is to determine the fields over which the square class invariant classifies quadratic forms. It will be proved that if the level of the field is at most two and if the square class invariant classifies the …
On K(,2) Of Rings Of Integers Of Totally Real Number Fields (Birch-Tate, Steinberg, Class Number, Symbol, Zeta-Function)., Karl Friedrich Hettling
On K(,2) Of Rings Of Integers Of Totally Real Number Fields (Birch-Tate, Steinberg, Class Number, Symbol, Zeta-Function)., Karl Friedrich Hettling
LSU Historical Dissertations and Theses
We study the finite abelian groups K(,2)(o), where o denotes the ring of integers of a totally real number field. As a major tool we employ the Birch-Tate conjecture which states that the order of K(,2)(o) can be computed via the Dedekind zeta-function. The odd part of this conjecture has been proved for abelian fields as a consequence of the Mazur-Wiles work on the "Main conjecture". After the preliminaries of chapter 1, we proceed in chapter 2 by deriving a formula for (zeta)(,F)(-1), where F denotes a totally real abelian number field. Using this formula we prove the congruence L …