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1982
Introduction: The most spectacularly successful of the sciences in Ancient and Mediaeval India was linguistics (Sanskrit, vyakarana, 'analysis' or 'veriformation'). Linguistics acted as a paradigm for the methodology and style of expression of other disciplines, especially in such fields as logic...

1994
Heunis, A. J., Kouritzin, Michael
In this note we consider the almost sure convergence (as ϵ→0) of solution Xϵ(·), defined over the interval 0 ≤ τ ≤ 1, of the random ordinary differential equation View the MathML source Here {F(x, t, ω), t ≥ 0} is a strong mixing process for each x and (x, t) → F(x, t, ω) is subject to regularity...

1997
Herein, an averaging theory for the solutions to Cauchy initial value problems of arbitrary order,εdependent parabolic partial differential equations is developed. Indeed, by directly developing bounds between the derivatives of the fundamental solution to such an equation and derivatives of the...

1997
Kouritzin, Michael, Dawson, Donald
A general Hilbertspacebased stochastic averaging theory is brought forth herein for arbitraryorder parabolic equations with (possibly long range dependent) random coefficients. We use regularity conditions onView the MathML sourcewhich are slightly stronger than those required to prove...

2004
This article presents notes that Russell made while reading the works of Gottlob Frege in 1902. These works include Frege’s books as well as the packet of offprints Frege sent at Russell’s request in June of that year. Russell relied on these notes while composing “Appendix A: The Logical and...

2006
Zalta, Edward N. , Linsky, Bernard
Logicism is a thesis about the foundations of mathematics, roughly, that mathematics is derivable from logic alone. It is now widely accepted that the thesis is false and that the logicist program of the early 20th century was unsuccessful. Frege's [1893/1903] system was inconsistent and the...

Lesson Study: Mathematics teachers become the professionals in their professional development
DownloadFall 2009
This research begins with an argument for the implementation of a professional development model that would empower mathematics teachers to make changes to their mathematical teaching practices. As this argument evolves so does the need for further investigation into what key components are...

Spring 2011
A great majority of children in Canada and the United States from Grades 26 fail to solve equivalence problems (e.g., 2 + 4 + 5 = 3 + __) despite having the requisite addition and subtraction skills. The goal of the present study was to determine the relative influence of two variables,...

Spring 2011
This thesis pursues the study of nonalgebraic and nonKahler compact complex manifolds by traditionally algebraic methods involving sheaves, cohomology and Ktheory. To that end, BottChern cohomology is developed to complement De Rham and Dolbeault cohomology. The first substantial chapter is...

Fall 2012
Functional Magnetic Resonance Imaging (fMRI) measures the dynamic activity of each voxel of a brain. This dissertation addresses the challenge of learning a diagnostic classifier that uses a subject’s fMRI data to distinguish subjects with neuropsychiatric disorders from healthy controls. fMRI...