Search results
 Title
 Approximation by pairs of functions.
 Contributors
 Robert Douglas Miller (author), Lee Keener (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 No abstract available.
 Discipline
 Mathematics
 Date added
 20170330T17:02:23.528Z
 Title
 An investigation of classical Banach spaces and a synthesis of their properties.
 Contributors
 Kyle Schlitt (author), Lee Keener (Thesis advisor), Robb Fry (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 A list of classical Banach spaces is examined and it is determined which spaces have each of a list of properties. Many answers, and their proofs, are found in the literature in such cases a rewritten and accessible proof is supplied. Where this is not appropriate, only reference is given. All nonstandard results are stated and referenced if not proved, as the exploration attempts to be as selfcontained as possible. The results are summarized at the end of the document in order to maximize the usefulness of the work done and a brief discussion on additional topics is also included as an addendum. P. ii.
 Discipline
 Mathematics
 Date added
 20170330T17:07:10.199Z
 Title
 Hamiltonian cycles in symmetric graphs.
 Contributors
 Dov Zazkis (author), Iliya Bluskov (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 Let k be a positive integer. We define M[subscript]k to be the graph with a vertex set consisting of all binary strings of length 2k + 1 which have either k or k + 1 ones and edge set consisting of all pairs of these binary strings which differ in exactly one bit. Showing that the graph M[subscript]k is Hamiltonian for all k is known as the Middle Levels problem. This problem was first posed in the early 1980's and to this day remains unsolved. In this thesis we explore the symmetries of M[subscript]k and graphs related to it. We then use these symmetries to propose a method for finding Hamiltonian cycles in M[subscript]k when 2k + 1 and k are prime. We believe that our method is more efficient than methods proposed by previous authors.
 Discipline
 Mathematics
 Date added
 20170330T17:04:53.081Z
 Title
 Theoretical investigation of the particle boundary layer in particledriven gravity currents.
 Contributors
 Elaine YuLing Lin (author), Patrick Montgomery (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 No abstract available.
 Discipline
 Mathematics
 Date added
 20170330T17:00:46.939Z
 Title
 Semidistributive lattices, meetsemilattices, and congruence heredity.
 Contributors
 Eric Martin (author), Jennifer Hyndman (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 No abstract available.
 Discipline
 Mathematics
 Date added
 20170330T17:02:41.562Z
 Title
 A survey of results on Giuga's conjecture and related conjectures.
 Contributors
 Joseph R. Hobart (author), Lee Keener (Thesis advisor), Patrick Montgomery (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 No abstract available.
 Discipline
 Mathematics
 Date added
 20170330T17:02:14.676Z
 Title
 When is an alter ego a minimal dulaizing structure?
 Contributors
 Bashet Ullah (author), David Casperson (thesis advisor), Jernej Polajnar (committee member), Jennifer Hyndman (committee member), University of Northern British Columbia (Degree granting institution)
 Abstract
 We show that a particular fiveelement algebra is dualized by a particular alterego. We also show that, in some limited sense, the alter ego we chose is minimal. The algebra that we examine is a f0;1gvalued unary algebra with 0. It has meet and join as homomorphisms.
 Discipline
 Mathematics
 Date added
 20190329T20:08:14.378Z
 Title
 Savings and commercial banks' performance in Nigeria
 Contributors
 Akintunde Akinola (author), Pranesh Kumar (committee member), Edward Dobrowolski (committee member), Balbinder Deo (committee member)
 Abstract
 This study examined the role of savings in commercial banks’ performance in Nigeria. The objective is to assess the contribution of savings to domestic credit to the private sector, to explore the effect of savings on money supply and to examine the impact of savings on deposit rate.
 Discipline
 Mathematics
 Date added
 20190325T20:58:50.893Z
 Title
 On the dualisabilty of finite {0, 1 }valued unary algebras with zero.
 Contributors
 Brian Schaan (author), Jennifer Hyndman (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 This thesis provides a few results regarding the natural dualisability of certain {0, 1}valued unary algebras with zero. We use ppformulae to develop a sufficient criterion for nondualisability of such algebras. With this criterion, we show that {0, 1}valued unary algebras with zero with unique rows whose rows form an order ideal (with respect to the lattice order {0, 1}ⁿ under 0 < 1) are not dualisable if its rows do not form an lattice order. For the case where the rows do form a lattice, we use the Interpolation Condition to show that the algebra is dualisable. The last result of this thesis provides another sufficient criterion for nondualisability by looking at twoterm reducts. Leaf ii.
 Discipline
 Mathematics
 Date added
 20170411T21:13:57.247Z
 Title
 Tangling in dualisability of unary algebras
 Contributors
 Joya Danyluk (author), Jennifer Hyndman (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 We look at nondualisable {0, 1}valued finite unary algebras with 0 where meet is defined on the algebra and join is partially defined. More specifically, we look at Join Upper Bounded Algebras with unique rows, as well as two types of Join Upper Bounded Algebras with nonunique rows: nononedoublealgebras and onedoubledalgebras. We then determine what tangled functions need to be included for an extension of the algebra to be dualisable. It turns out that just including the tangled functions for nononedoubledalgebras and onedoubledalgebras is not enough to guarantee dualisability. We then define the additional functions needed for dualisability of the extension. Leaf i.
 Discipline
 Mathematics
 Date added
 20170329T17:29:58.797Z
 Title
 Applications of the Snake Theorem.
 Contributors
 Steven Richard Mattioli (author), Lee Keener (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 ...Keener proves a version of the wellknown Snake Theorem of Karlin, and shows the practical use of this theorem in three approximation problems by recasting the problems in the setting of the socalled NLfunctional. He then suggests five alternate approximation problems for which he suspects his theorem can be effectively used as an investigative tool. We consider three of these problems: approximation with constraints outside the interval of approximation, reciprocal approximation, and maximin approximation. We show how Theorem 5 of [Keener], Theorem 15 in this thesis, can be effectively used as a tool to apply the snake theorem to them. Approximation with constraints outside the interval of approximation and reciprocal (more specifically rational) approximation were considered in the literature by Laurent and others. We recast these results (or expand and then recast these results) in the setting of the NLfunctional and apply Theorem 15 (or a strengthened version of Theorem 15) to obtain the desired oscillation statements. In the case of maximin approximation, to our knowledge, all results are new.
 Discipline
 Mathematics
 Date added
 20170330T17:04:10.126Z
 Title
 The Residual Character of Finitely Generated Varieties of Unary Algebras and Groupoids, and Applications to the Restricted Quackenbush Problem.
 Contributors
 Jesse Mason (author), Jennifer Hyndman (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract

The crux of this thesis is to study the Restricted Quackenbush Problem: if B is a finite algebra of finite type and V(B) is residually finite, must V(B) be residually
 Discipline
 Mathematics
 Date added
 20170330T17:10:31.513Z
 Title
 On irresponsible homomorphisms and strong duality
 Contributors
 Brett Kelly (author), Matthew Reid (thesis advisor), University of Northern British Columbia (Degree granting institution), David Casperson (committee member), Edward Dobrowolski (committee member), Jennifer Hyndman (committee member)
 Abstract
 This thesis looks at algebras with positive primitively defined binary relations that are almost re flexive, antisymmetric, and transitive and provides new machinery for determining when these algebras are not strongly dualizable.
 Discipline
 Mathematics
 Date added
 20190331T03:29:05.809Z
 Title
 Copula based rigidbody image registration.
 Contributors
 Faramarz Kashanchi (author), Pranesh Kumar (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 The literature presents a wide number of algorithms in the field of image registration. However, analysis of the literature revealed that much emphasis has not been placed on copula based image registration. Thus this thesis seeks to explain the image registration problem and how it may be solved using copula based measures. Here we are aiming to combine the MATLAB fminsearch optimization method with copula based alignment measure, in order to monitor the performance of copula based alignment measure in image registration. Performance of four copula functions namely, Clayton, Frank, Gaussian and MarshalOlkin are tested in image registration algorithm. A comparison is then posited of the performance of the four copula functions in image registration. These four copula measures are then compared with the well known method of image registration alignment measure, that is the joint histogram based mutual information. The accuracy and speed of the image registration algorithm was monitored on aerial and medical (MRI) images. Since we are using rigidbody transformations, the image registration algorithm is categorized as rigid body image registration. Leaf i.
 Discipline
 Mathematics
 Date added
 20170330T17:12:23.46Z
 Title
 Standard unary algebras
 Contributors
 Tracy Wall (author), Jennifer Hyndman (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 This research studies threeelement unary algebras to determine which of them are standard. A quasivariety generated by an algebra M is standard if it consists exactly of those algebraic structures being the same type as M which carry a compatible Boolean topology and are models of the quasiequational theory of M. This work shows that two previously unclassified structures, M, are standard. P.ii.
 Discipline
 Mathematics
 Date added
 20170410T22:06:10.898Z
 Title
 The assessment of association between insomnia and risk factors in the province of Nova Scotia.
 Contributors
 Viktoria Bassarguina (author), Pranesh Kumar (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 Scientific research on sleep problems reveals that insomnia has considerable impact on the daily functioning of the affected individual. This thesis investigates risk factors associated with insomnia in a random sample of individuals aged 12 years and older (n = 5,018) living in the province of Nova Scotia, Canada. A binomial logistic regression was used to assess the association between insomnia and health factors, demographic and socioeconomic characteristics, and lifestyle variables. Moreover, the bootstrap method was used to obtain estimates of the odds ratios, parameter estimates, and their standard errors in addition to the logistic regression. The following findings are reported. Age less than 65 years, female gender, current level of smoking, arthritis, asthma, back problems, high blood pressure, bowel syndrome, diabetes, heart disease and migraine were associated with an increased risk of insomnia in the population of Nova Scotia. The bootstrap estimates for odds ratios were slightly higher than those obtained by the classical logistic regression model. This is the first study conducted for insomnia in Nova Scotia for the years 20002010. P. i.
 Discipline
 Mathematics
 Date added
 20170330T17:08:56.151Z
 Title
 Math play's effects on mathematics attitude and awareness
 Contributors
 Jean Bowen (author), Peter MacMillan (thesis advisor), Jennifer Hyndman (thesis advisor), University of Northern British Columbia College of Science and Management (Degree granting institution), Dan Ryan (committee member)
 Abstract
 Where children see mathematics in the world and the attitudes children hold toward mathematics are not thoroughly understood. The Mathematics Attitude Assessment (MAA) and the Difficulty Associating Words with Mathematics (DAWM) are instruments developed to examine mathematics attitude and the propensity of primary students to indicate words as mathematics related. These instruments were used to measure any changes among preintervention, postintervention and onemonth postintervention of this quasiexperimental design. The intervention was Math Play: a collection of mathematicsbased games and activities with emphasis on exploration and problem solving. Rasch analysis and traditional analysis techniques were used to examine the participants, the assessment instruments and any effects. The difference scores were analysed using a 2X2 TwoFactor ANOVA. A statistically significant difference was found for pretreatment to onemonth posttreatment for the DAWM with each participant as an experimental unit. No statistically significant differences were found for the MAA results.
 Discipline
 Mathematics
 Date added
 20190403T00:03:21.167Z
 Title
 A survey of pure algebraic quartic fields.
 Contributors
 Haakon W. Sullivan (author), Lee Keener (Thesis advisor), Edward Dobrowolski (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 The properties of the pure quartic field ...are examined in detail. More specifically the norm, minimal polynomial, integral basis, and the fundamental system of units of these fields will be the main focus of the thesis. An examination into the prime ideal decomposition and class number of these fields will also be taken.
 Discipline
 Mathematics
 Date added
 20170330T17:12:31.99Z
 Title
 Rank and duality of escalator algebras.
 Contributors
 Erin Natalie Beveridge (author), Jennifer Hyndman (Thesis advisor), University of Northern British Columbia (Degree granting institution)
 Abstract
 No abstract available.
 Discipline
 Mathematics
 Date added
 20170330T16:57:22.892Z