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Topics in harmonic analysis and partial differential equations: extension theorems and geometric maximum principles
(University of Missouri--Columbia, 2011)
The present thesis consists of two main parts. In the first part, we prove that a function defined on a closed subset of a geometrically doubling quasi-metric space which satisfies a Hölder-type condition may be extended ...
Outer products and frame coefficients /
(University of Missouri--Columbia, 2017)
In this dissertation, we will examine two distinct areas of frame theory. The first will be the area of outer products. In particular, we will examine the spanning and independence properties of the collection [see abstract ...
The vanishing of Tor_1^R(R^+,k) implies that R is regular
(2003)
Let (R,m,k) be an excellent local ring of positive prime characteristic. We show that if Tor_1^R(R^+,k) = 0 then R is regular. This improves a result of Schoutens, in which the additional hypothesis that R was an isolated ...
First year mathematics courses
(University of Missouri--Columbia, 1916)
Abstract taken from title page: "A critical study of the purpose, form, content and organization of first year mathematics work a the University of Missouri and elsewhere, with a view to finding the courses in mathematics best suited for use...
Articulated learning trajectories related to the development of algebraic thinking that follow from patterning concepts in middle grades mathematics
(University of Missouri--Columbia, 2010)
The construct of an articulated learning trajectory (ALT) was conceived of and defined to provide a lens through which to view and analyze content development in middle grades mathematics textbooks. The ALTs identified and described were used...
Results in analytic and algebraic number theory
(University of Missouri--Columbia, 2012)
The thesis begins with proving some theorems about Gauss sums and Jacobi sums. Using theorems the first chapter ends with a proof that if p is a prime such that p ≡ 1 (mod 4), then there are integers a and b such that p = ...
Endpoint solvability results for divergence form, complex elliptic equations
(University of Missouri--Columbia, 2011)
We consider divergence form elliptic equations Lu := ∇ • (A∇u) = 0 in the half space ℝn+1+ := {(x,t)∈ ℝn x (0,∞)}, whose coeffi cient matrix A is complex elliptic, bounded and measurable. In addition, we suppose that A ...
Generalized local Tb theorem and applications
(University of Missouri--Columbia, 2012)
The Tb theorem, like its predecessor, the T1 Theorem, is an L2 boundedness criterion, originally established by McIntosh and Meyer, and by David, Journé and Semmes in the context of singular integrals, but later extended ...
Nonlinear equations with natural growth terms
(University of Missouri--Columbia, 2011)
This thesis concerns the study of a class of second order quasilinear elliptic differential operators. For 1 < p < ∞, the model equation we consider is: (1) L(u) = -Δpu - σ∣u∣p-2u. Here the potential is a function (or ...
Quasi-metric geometry
(University of Missouri--Columbia, 2014)
two objects is one of the most fundamental and ubiquitous in many branches of mathematics. A quasi-metric is a generalization of the familiar notion of metric. This dissertation examines what happens in this new setting of quasi-metrics. In particular...
An analysis of the relationship between developmental mathematics and early access to Algebra 1
(University of Missouri--Columbia, 2018)
mathematics courses in college....
The economic consequences of water utility disruptions
(University of Missouri--Columbia, 2013)
This research produces an economic impact analysis of short duration water utility disruptions to evaluate the consequences of alternative restoration decisions. The study constructs a continuous dynamic disequilibrium ...
Taking up space : children's opportunities to learn in one-on-one interactions involving fraction story problems
(University of Missouri--Columbia, 2023)
Mathematics instruction can work to open or constrain children's opportunities to learn, and the busy, interactive nature of instruction makes it challenging for researchers to identify patterns in high-quality opportunities to learn. While...
On a weak type (1, 1) inequality for a maximal conjugate function
(2011)
In a celebrated paper, Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of Hp spaces for 0 < p < ∞. In this paper, we show that their method extends to higher dimensions ...
Addendum: On the ionization of a Keplerian binary system by periodic gravitational radiation [J. Math. Phys. 37, 3997-4016 (1996)]
(American Institute of Physics, 1996)
Addendum: On the ionization of a Keplerian binary system by periodic gravitational radiation [J. Math. Phys. 37, 3997-4016 (1996)]
Social and cognitive influences on a teacher candidate's choice to pursue math education
(University of Missouri--Columbia, 2018)
There is a crisis across the United States as schools are seeing a shortage of mathematics teachers. While school districts are working on new ways to recruit teacher candidates, the heart of the problem lies in the decline in students entering...
Lesson Planning and Video Analysis as Data Tools for Assessing PCK
(University of Missouri, 2007)
This presentation addressed research on science and mathematics teacher learning in the context of an alternative certification program....
An exploratory study of reform initiatives in relatively small Missouri school districts
(University of Missouri--Columbia, 2012)
significant relationships existed between full years of implementation, personnel hours, dollars spent, average daily attendance, persistence to graduation, superintendent's perceived impact, percent of students passing communications arts or mathematics...
An alternate approach to educational reform in the United Arab Emirates : exploring students' motivation through Pisa 2012
(University of Missouri--Columbia, 2019)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] For over a decade, the public education system in the United Arab Emirates (UAE) has engaged in educational reform with varying degrees of success. The reform initiatives mainly...
A fast multiple longest common subsequence (MLCS) algorithm
(University of Missouri--Columbia, 2010)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Finding the longest common subsequence (LCS) of multiple strings is an NP-hard problem, with many applications in the areas of bioinformatics and ...