Browsing Theses by Subject "mathematics"
Now showing items 1-11 of 11
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All the World's a Stage: Fictionalism, Metaphysics, and Truth
(University of Waterloo, 2020-12-22)Fictionalism has been an appealing position for many philosophers seeking to avoid controversial ontological commitments implicit in certain kinds of discourses, while also trying to account for the usefulness of those ... -
Divisibility of Discriminants of Homogeneous Polynomials
(University of Waterloo, 2023-08-28)We prove several square-divisibility results about the discriminant of homogeneous polynomials of arbitrary degree and number of variables, when certain coefficients vanish, and give characterizations for when the discriminant ... -
Examining determinants of health numeracy and processing of numeric health information by English-as-a-second language immigrants to Canada
(University of Waterloo, 2014-01-28)Health numeracy is a necessary skill for accessing health services. Immigrants have lower levels of health numeracy compared to host populations which constrains their access to health information necessary to make quality ... -
Hamilton Paths in Generalized Petersen Graphs
(University of Waterloo, 2002)This thesis puts forward the conjecture that for <i>n</i> > 3<i>k</i> with <i>k</i> > 2, the generalized Petersen graph, <i>GP</i>(<i>n,k</i>) is Hamilton-laceable if <i>n</i> is even and <i>k</i> is odd, and it is ... -
On a Question of Wintner Concerning the Sequence of Integers Composed of Primes from a Given Set
(University of Waterloo, 2007-09-27)We answer to a Wintner's question concerning the sequence of integers composed of primes from a given set. The results generalize and develop the answer to Wintner’s question due to Tijdeman. -
On Pairing-Based Signature and Aggregate Signature Schemes
(University of Waterloo, 2009-01-21)In 2001, Boneh, Lynn, and Shacham presented a pairing-based signature scheme known as the BLS signature scheme. In 2003, Boneh, Gentry, Lynn, and Shacham presented the first aggregate signature scheme called the BGLS ... -
The Prouhet-Tarry-Escott problem
(University of Waterloo, 2013-01-15)Given natural numbers n and k, with n>k, the Prouhet-Tarry-Escott (PTE) problem asks for distinct subsets of Z, say X={x_1,...,x_n} and Y={y_1,...,y_n}, such that x_1^i+...+x_n^i=y_1^i+...+y_n^i\] for i=1,...,k. ... -
Quantum Walks on Strongly Regular Graphs
(University of Waterloo, 2010-08-30)This thesis studies the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of a matrix based on the amplitudes of walks in the ... -
Self-Dual Graphs
(University of Waterloo, 2002)The study of self-duality has attracted some attention over the past decade. A good deal of research in that time has been done on constructing and classifying all self-dual graphs and in particular polyhedra. We ... -
Sequences of Trees and Higher-Order Renormalization Group Equations
(University of Waterloo, 2019-08-27)In 1998, Connes and Kreimer introduced a combinatorial Hopf algebra HCK on the vector space of forests of rooted trees that precisely explains the phenomenon of renormalization in quantum field theory. This Hopf algebra ... -
The Weil conjectures
(University of Waterloo, 2008-01-24)In discussing the question of rational points on algebraic curves, we are usually concerned with ℚ. André Weil looked instead at curves over finite fields; assembling the counts into a function, he discovered that it ...