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On Steinhaus Sets, Orbit Trees and Universal Properties of Various Subgroups in the Permutation Group of Natural Numbers

On Steinhaus Sets, Orbit Trees and Universal Properties of Various Subgroups in the Permutation Group of Natural Numbers

Date: August 2012
Creator: Xuan, Mingzhi
Description: In the first chapter, we define Steinhaus set as a set that meets every isometric copy of another set at exactly one point. We show that there is no Steinhaus set for any four-point subset in a plane.In the second chapter, we define the orbit tree of a permutation group of natural numbers, and further introduce compressed orbit trees. We show that any rooted finite tree can be realized as a compressed orbit tree of some permutation group. In the third chapter, we investigate certain classes of closed permutation groups of natural numbers with respect to their universal and surjectively universal groups. We characterize two-sided invariant groups, and prove that there is no universal group for countable groups, nor universal group for two-sided invariant groups in permutation groups of natural numbers.
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On the Cohomology of the Complement of a Toral Arrangement

On the Cohomology of the Complement of a Toral Arrangement

Date: August 1999
Creator: Sawyer, Cameron Cunningham
Description: The dissertation uses a number of mathematical formula including de Rham cohomology with complex coefficients to state and prove extension of Brieskorn's Lemma theorem.
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On the density of minimal free subflows of general symbolic flows.

On the density of minimal free subflows of general symbolic flows.

Date: August 2009
Creator: Seward, Brandon Michael
Description: This paper studies symbolic dynamical systems {0, 1}G, where G is a countably infinite group, {0, 1}G has the product topology, and G acts on {0, 1}G by shifts. It is proven that for every countably infinite group G the union of the minimal free subflows of {0, 1}G is dense. In fact, a stronger result is obtained which states that if G is a countably infinite group and U is an open subset of {0, 1}G, then there is a collection of size continuum consisting of pairwise disjoint minimal free subflows intersecting U.
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On the effects of extended sample-observing response requirements on adjusted delay in a titrating delay matching-to-sample procedure with pigeons.

On the effects of extended sample-observing response requirements on adjusted delay in a titrating delay matching-to-sample procedure with pigeons.

Date: August 2005
Creator: Kangas, Brian D.
Description: A common procedural variation that facilitates the acquisition of conditional discriminations is to increase the time an organism spends in the presence of the sample stimulus by programming extended sample-observing response requirements. Despite their common use, there has been little empirical investigation of the effects of extended sample-observing response requirements. In the current study, four pigeons worked on a titrating delay matching-to-sample procedure in which the delay between sample offset and comparison onset was adjusted as a function of the pigeons' accuracy. The number of responses required to produce the comparison array was manipulated across conditions. Results show that all subjects were able to withstand longer delays between sample offset and comparison onset as sample-observing response requirements increased. These data show that the extent of the response requirement in the presence of the sample has systematic effects on conditional discrimination performances and should be considered in the design of experiments.
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On the Existence and Uniqueness of Solutions of Two Differential Equations

On the Existence and Uniqueness of Solutions of Two Differential Equations

Date: August 1965
Creator: Keath, Mary Katherine
Description: The purpose of this paper is to study two differential equations. A method of approximation by iteration is used to define sequences of functions which converge to solutions of these equations. Some properties of the solutions are proved for general boundary conditions and certain special solutions are studied in detail.
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I. On the Mechanism of Acid Promoted Rearrangement of PCU-Derived Pinacols II. Synthesis of a Trimethyltrishomocubyl Helical Tubuland Diol

I. On the Mechanism of Acid Promoted Rearrangement of PCU-Derived Pinacols II. Synthesis of a Trimethyltrishomocubyl Helical Tubuland Diol

Date: May 1995
Creator: Liu, Zenghui
Description: I. Reductive dimerization of pentacyclo[5.4.0.0.^2,6.0^3,10.0^5'9]undecane-8-one-(PCU-8-one, 53) affords a mixture of meso and d,l pinacols (55a and 55b respectively). Acid promoted rearrangement of 55a and 55b conceivably can proceed with migration of C(7)-C(8) and/or C(8)-C(9) to form the corresponding pinacolone(s). In our hands, acid promoted rearrangement of 55a and 55b each proceeds with exclusive migration of C(7)- C(8) bond, thereby affording 58a and 59a respectively. Mechanistic features of this rearrangement are discussed. II. 4,7,1 l-trimethylpentacyclo[6.3.0.0.^2,6.0^3,l0.0^5,9]undecane-exo-4,exo-7-diol (23a) was successfully synthesized. This diol crystallizes in a helical tubuland lattice although its molecular structure does not possess C2 rotational symmetry.
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On the Relation between Stimulus Equivalence and Extension of Stimulus Function

On the Relation between Stimulus Equivalence and Extension of Stimulus Function

Access: Use of this item is restricted to the UNT Community.
Date: May 2004
Creator: Hartman, Carrie
Description: The purpose of this study was to examine the relation between stimulus equivalence (briefly, networks of relations among stimuli) and the extension of stimulus function (briefly, spread of effect across network) more closely than has been possible before. The traditional view of this relation suggests that equivalence classes mediate the extension of stimulus function and are, therefore, necessary for any extension to occur. This study used a preparation in which the conditional discriminations required for the development of equivalence classes and the simple discriminations required for the extension of function were trained or tested simultaneously. Results suggest that equivalence are not necessary for the extension of stimulus function though they may be sufficient.
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On the Stielitjes Integral

On the Stielitjes Integral

Date: August 1972
Creator: Keagy, Thomas A.
Description: This paper is a study of the Stieltjes integral, a generalization of the Riemann integral normally studied in introductory calculus courses. The purpose of the paper is to investigate many of the basic manipulative properties of the integral.
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On the subjective distinction between tenderness and joy.

On the subjective distinction between tenderness and joy.

Date: December 2006
Creator: Kalawski, Juan Pablo
Description: Previous studies have shown that the experience of joy normally accompanies the experience of tenderness or love. Theorists have thus suggested that tenderness is not a distinct emotion, but rather a variety of joy. The present study explored whether it is possible to induce tenderness while inhibiting joy. Participants watched scenes designed to induce different emotions. Results showed that a scene could induce high levels of tenderness and low levels of joy if that scene also induced high levels of sadness. These findings suggest the need to reconsider theoretical assumptions regarding the distinction between tenderness and joy.
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On Their Own: How Thirty-One Tribal Colleges Address Five Educational Concepts

On Their Own: How Thirty-One Tribal Colleges Address Five Educational Concepts

Date: May 2010
Creator: Riding In, Leslie D.
Description: This qualitative research, specifically a content analysis of 31 tribal colleges' mission statements and curricula, examined how the colleges' curricula aligned with the five educational concepts suggested in the colleges' mission statements. Cajete's (1994) seven foundations to indigenous thinking proved to be a major theoretical framework which provided a worldview for tribal learning. The study concluded that whereas the five educational concepts aligned between mission statements and curricula, the curricula emphasized culture, tribal community, and academic success at a greater level than mission statements indicated. Further, tribal colleges' curricula did not emphasize economic concepts as the mission statements indicated. A particular finding suggests that tribal colleges' are investing in environmental studies programs, thus increasing their intellectual capacity to protect their environmental interests while promoting indigenous thinking and community learning across all academic disciplines. Considerable implications include that an increase of American Indian environmental studies graduates may have a positive impact on environmental justice matters as well as the ability to promote new agricultural technologies. Additional implications include how mainstream universities will adapt to an increase of native students studying the sciences rather than liberal arts.
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