University of Calgary

Publications - 2003


 

A finite element method for singularly perturbed reaction-diffusion problems

Duan, Huoyuan and Zhang, Dali
 

A geometrical approach to mesh smoothing

Aiffa, Mohammed and Flaherty, J. E.
 

Aggregate survival probability of a portfolio with dependent subportfolios

Ambagaspitiya, Rohana
 

A hierarchy of {S}turm-{L}iouville problems

Binding, Paul
 

A Jensen inequality for a family of analytic functions and an estimate for the average number of limit cycles

Brudnyi, Alex
 

Alternating paths through disjoint line segments

Hoffmann, Michael and Toth, Csaba
 

A Multi-variate Model Integrating Passive Sampler and Meteorology Data to Predict the Frequency Distributions of Hourly Ambient Ozone (O3) Concentrations

Nosal, Miloslav and Krupa, S. V.
 

An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations

Gu, Yuanxian, Liao, Wenyuan and Zhu, Jianping
 

A note on binary plane partitions

Toth, Csaba
 

Asset allocation: investment strategies for insurance and insurance portfolio

Cheung, Ka Chun and Hailiang Yang in Intelligent and Other Computational Techniques in Insurance: Theory and Applications
 

A uniqueness property for H^infty on coverings of projective manifolds

Brudnyi, Alex
 

A wider class of stable gyroscopic systems

Lancaster, Peter and Zhou, Fei
 

Bias-robust L-estimators of a scale parameter

Collins, John
 

Binary space partition for line segments with a limited number of directions

Toth, Csaba
 

Canonical vertex partitions

Sauer, Norbert

Let $\sigma$ be a finite relational signature and $\mathcal T$ a set of finite complete relational structures of signature $\sigma$ and $\Ha_{\mathcal T}$ the countable homogeneous relational structure of signature $\sigma$ which does not embed any of the structures in $\mathcal T$. In the case that $\sigma$ consists of at most binary relations and $\mathcal T$ is finite the vertex partition behaviour of $\Ht$ is completely analysed; in the sense that it is shown that a canonical partition exists and the size of this partition in terms of the structures in $\mathcal{T}$ is determined. If $\mathcal{T}$ is infinite some results are obtained but a complete analysis is still missing. Some general results are presented which are intended to be used in further investigations in case that $\sigma$ contains relational symbols of arity larger than two or that the set of bounds $\mathcal{T}$ is infinite.

 

Computation of the fundamental units and the regulator of a cyclic cubic function field

Lee, Yoonjin, Scheidler, Renate and Yarrish, Christopher
 

Consistency adjustments for pairwise comparison matrices

Farkas, Andr, Lancaster, Peter and R{\'o}zsa, P
 

Construction of branched coverings over closed surfaces following the Hurwitz approach

Bogatyi, Semeon A., Goncalves, Daciberg L., Kudryavtseva, Elena and Zieschang, Heiner
 

Construction of families of long continued fractions revisited

Mollin, Richard
 

Contact problem for bonded nonhomogeneous materials under shear loading

Singh, B. M., Rokne, J., Dhaliwal, Ranjit S. and Vrbik, J.
 

Corrigenda and addition to: ``{C}omputer verification of the {A}nkeny-{A}rtin-{C}howla conjecture for all primes less than {$100\,000\,000\,000$}'' [{M}ath.\ {C}omp.\ {\bf 70} (2001), no. 235, 1311-1328; \refmr {MR}1709160 (2001j:11125)\endrefmr]

Poorten, A. J., Riele, H. J. J. and Williams, Hugh
 

Coupling of the effective properties of a random mixture through the reconstructed spectral representation

Cherkaev, Elena and Zhang, Dali
 

Cyclicity of zeros of families of analytic functions

Brudnyi, Alex
 

Cyclic polytopes, hyperplanes, and {G}ray codes

Bisztriczky, Ted, B{\"o}r{\"o}czky, Jr. and Gunderson, David
 

Decomposition of spectral asymptotics for {S}turm-{L}iouville equations with a turning point

Binding, Paul, Browne, Patrick and Watson, Bruce
 

Delay differential logistic equations with a nonlinear harvesting function

Berezansky, L., Braverman, Elena and Idels, L.
 

Delete-group Jackknife Estimate in Partially Linear Regression Models with Heteroscedasticity

Chen, Gemai and You, Jinhong
 

Diurnal and Seasonal Changes in Stem Increment and Water Use by Yellow Poplar Trees in Response to Environmental Stress

McLaughlin, S. B., Nosal, Miloslav and Wullschleger, S. D.
 

Erratum: ``{D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; {MR}1848504 (2002j:53109)]

Cushman, Richard and Sniatycki, Jedrzej
 

Erratum: ``{D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; \refmr {MR}1848504 (2002j:53109)\endrefmr]

Cushman, Richard and Sniatycki, Jedrzej
 

Evaluation of Canada Wide Standard for Ozone Efficacy in Protecting Canada�s Forests: Phase I

Percy, K. E., Nosal, Miloslav and et, al
 

Evolution of Biological Systems in Random Media: Limit Theorems and Stability

Swishchuk, Anatoliy and Wu, Jianhong
 

Finite distributive lattices and the splitting property

Duffus, Dwight and Sands, Bill
 

Guarding disjoint triangles and claws in the plane

Toth, Csaba
 

Illuminating both sides of line segments

Toth, Csaba in Discrete and Computational Geometry, vol. 2098 of LNCS
 

Illuminating disjoint line segments in the plane

Toth, Csaba
 

Illuminating polygons with vertex π-floodlights

Toth, Csaba in Computational Science - ICCS 2001, Part I, vol. 2073 of LNCS
 

Illumination of polygons 45º-floodlights

Toth, Csaba
 

Improved Estimation of Regression Parameters in Measurement Error Models: Finite Sample Case

Kim, Hyang Mi and Saleh, A.K.Md.E
 

Infinite families of {P}ellian polynomials and their continued fraction expansions

Mollin, Richard
 

Infinite families of Pellian polynomials and their continued fraction expansions

Mollin, Richard
 

Irreversible Markov processes for phylogenetic models

Bohl, Erich and Lancaster, Peter
 

Jackknife type estimation for smooth functions of parametric component in partially linear models

Chen, Gemai and J. You
 

Large Sample Theory for Box-Cox Transformed Linear Models (With Discussions)

Chen, Gemai and R. Lockhart, M. Stephens
 

Linear {H}amiltonian {H}opf bifurcation for point-group-invariant perturbations of the {$1:1:1$} resonance

Efstathiou, K., Sadovski{\'{\i}}, D. A. and Cushman, Richard
 

Linearized oscillation theory for a nonlinear delay impulsive equation

Berezansky, Leonid and Braverman, Elena
 

Linearized oscillation theory for a nonlinear delay impulsive equation

Berezansky, Leonid and Braverman, Elena
 

Linearized oscillation theory for a nonlinear nonautonomous delay differential equation

Berezansky, Leonid and Braverman, Elena
 

Matrices and continued fractions

Mollin, Richard
 

Minimal number of preimages under mappings between surfaces

Bogatyi, Semeon A., Goncalves, Daciberg L., Kudryavtseva, Elena and Zieschang, Heiner
 

Modeling Microbiology Food Responses

McKellar, Robin and Lu, Xuewen
 

Multivariate local polynomial regression for estimating average derivatives

Li, Qi, Lu, Xuewen and Ullah, Aman
 

New computations concerning the {C}ohen-{L}enstra heuristics

Riele, Herman and Williams, Hugh
 

New quadratic polynomials with high densities of prime values

Jacobson, Jr. and Williams, Hugh
 

Normal and seminormal eigenvalues of matrix functions.

Lancaster, Peter and Psarrakos, P.
 

Numerical computation of the nonlinear feedback operators for the nonquadratic time-variant optimal control problem

Hadizadeh, Mahmoud and Amiraslani, Amirhossein
 

On Class Group Computations Using the Number Field Sieve

Bauer, Mark and Hamdy, Safuat

The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a variant of the quadratic sieve factoring algorithm. Paradoxical as it sounds, the principles of the number field sieve, in a strict sense, could not be applied to number field computations, yet. In this article we give an indication of the obstructions. In particular, we first present fundamental core elements of a number field sieve for number field computations of which it is absolutely unknown how to design them in a useful way. Finally, we show that the existence of a number field sieve for number field computations with a running time asymptotics similar to that of the genuine number field sieve likely implies the existence of an algorithm for elliptic curve related computational problems with subexponential running time.

 

On four points of a convex body in large relative distances

Langi, Zsolt and Lassak, Marek
 

On {$k\sp +$}-neighbour packings and one-sided {H}adwiger configurations

Bezdek, Karoly
 

On oscillation of a food-limited population model with time delay

Berezansky, Leonid and Braverman, Elena
 

On oscillation of a food-limited population model with time delay [MR1954246]

Berezansky, Leonid and Braverman, Elena
 

On quasi-Frobenius rings

Nicholson, W. Keith, Yousif, M.F. and Yousif, Mohammed
 

On some (more) mathematical models for development of HIV/AIDS in a commumity

Aggarwala, Ben
 

On {T}ate-{S}hafarevich groups of {$y\sp 2=x(x\sp 2-k\sp 2)$}

Lemmermeyer, F. and Mollin, Richard
 

On the modulus of the {R}iemann zeta function in the critical strip

Zvengrowski, Peter
 

On the {$m$}th {P}etty numbers of normed spaces

Bezdek, Karoly, Naszodi, Marton and Visy, Balazs in Discrete geometry
 

On the relative lengths of sides of convex polygons

Langi, Zsolt

Let $C$ be a convex body. By the relative distance of points $p$ and $q$ we mean the ratio of the Euclidean distance of $p$ and $q$ to the half of the Euclidean length of a longest chord of $C$ parallel to $pq$. The aim of the paper is to find upper bounds for the minimum of the relative lengths of the sides of convex hexagons and heptagons.

 

On the Wecken property for the root problem of mappings between surfaces

Bogatyi, Semeon A., Goncalves, Daciberg L., Kudryavtseva, Elena and Zieschang, Heiner
 

Oscillation and other properties of linear impulsive and nonimpulsive delay equations

Berezansky, L. and Braverman, Elena
 

Oscillation criteria for a linear neutral differential equation

Berezansky, Leonid and Braverman, Elena
 

Oscillation for equations with positive and negative coefficients and distributed delay. {II}. {A}pplications

Berezansky, Leonid and Braverman, Elena
 

Oscillation for equations with positive and negative coefficients and with distributed delay. {I}. {G}eneral results

Berezansky, Leonid and Braverman, Elena
 

Oscillation properties of a logistic equation with distributed delay

Berezansky, Leonid and Braverman, Elena
 

Perturbation theory for analytic matrix functions: the semisimple case.

Lancaster, Peter, Markus, A. S. and Zhou, F.
 

Quadratic equations in free groups and topological applications

Kudryavtseva, Elena, Weidmann, Richard and Zieschang, Heiner
 

Quasi-Frobenius Rings

Nicholson, W. Keith and Yousif, Mohammed
 

Randomized polynomial lattice rules for multivariate integration and simulation

Lemieux, Christiane and L'Ecuyer, Pierre
 

Relative distance and a convex body touched by its homothetical copies

Langi, Zsolt

The relative distance of points $p$ and $q$ of a convex body $C$ is the ratio of the length of the segment $pq$ to the half of the length of a longest chord of $C$ parallel to $pq$. In this paper we find a connection between pairwise relative distances of $k$ points in the boundary of a convex body and the ratio of $k$ homothetical copies of the body touching it.

 

Relative distance and packing a body by homothetical copies

Langi, Zsolt and Lassak, Marek

This paper discusses packings of a planar convex body $C$ by smaller positive homothets of $C$. In particular, bounds on the maximum homothety ratio $r$ for which $k$ homothets of $C$ of ratio $r$ can pack $C$, where the maximum is taken over all possible $C$, are given for various small values of $k$. The paper surveys previously known results, finds some new ones, gives examples, and presents various interesting conjectures. The case of centrally symmetric $C$ is also considered. The basic approach to the problem is via the notion of relative distance of points in $C$---this is distance as measured in the norm with unit ball ${1\over2}(C-C)$

 

Relative distance of points of a convex body

Langi, Zsolt
 

Representation of solutions of Pell equations using Lucas sequences

Jones, James P.

We consider classes of Pell equations of the form x^2 - dy^2 = c, where d = a^2 - 4, d = a^2 + 4, d = a^2 - 1, or d = a^2 + 1 and c = +4, -4, +1 or -1. We show that all the solutions are expressible in terms of Lucas sequences and we give the Lucas sequences explicitly.

 

Right semidefinite eigenvalue problems

Binding, Paul and Volkmer, Hans
 

R{SA} and public-key cryptography

Mollin, Richard
 

Segment endpoint visibility graphs are Hamiltonian

Toth, Csaba and Michael Hoffmann
 

Separation in totally-sewn 4-polytopes

Bisztriczky, Ted and Oliveros, D.
 

Sets with a unique extension to a set of constant width

Naszodi, Marton and Visy, Bal
 

Single-Stage Queueing THeory in Flexible Manufacturing Systems (FMS)

Blankson, Jonathan
 

Solvable matrix representations of K\"ahler groups

Brudnyi, Alex
 

Solvable quotients of K\"ahler groups

Brudnyi, Alex
 

Stitching images back together

Lutscher, Frithjof, McNulty, Jenny, Morris, Joy and Seyffarth, Karen
 

Sturm-{L}iouville theory for the {$p$}-{L}aplacian

Binding, Paul and Dr{\'a}bek, P.
 

Sums of squares revisited

Mollin, Richard
 

Tangential Markov inequalities on transcendental curves

Bos, Len, Brudnyi, Alex, Levenberg, N. and Totik, V.
 

The breaking of a non-homogeneous fiber embedded in an infinite non-homogeneous medium

Vrbik, J., Singh, B. M., Rokne, J. and Dhaliwal, Ranjit S.
 

The cohomology ring of the orientable {S}eifert manifolds. {II}

Bryden, John and Zvengrowski, Peter
 

The Erdos-Szekeres problem for planar points in arbitrary position

Bisztriczky, Ted and Fejes Toth, G.
 

The Index of a Dihedral Quartic Field

Silvester, Alan, Spearman, Blair K. and Williams, Kenneth S.

Let $c \neq 1$ be a squarefree integer. The set of all possible field indices for non-pure dihedral quartic fields containing the quadratic field $\mathbb{Q} ( \sqrt{c} )$ is determined by means of congruences on $c$ modulo 24.

 

The integral homology of orientable {S}eifert manifolds

Bryden, John and Zvengrowski, Peter
 

The L^p Dirichlet problem and nondivergence harmonic measure

Rios, Cristian
 

The {R}adon number of the three-dimensional integer lattice

Bezdek, Karoly
 

The {R}eissner-{S}agoci problem for a non-homogeneous half-space with a surface constraint

Singh, B. M., Danyluk, H. T., Vrbik, J., Rokne, J. and Dhaliwal, Ranjit S.
 

Uniform Convergence Rate of Estimators of Autocovariances in Partly Linear Regression Models With Correlated Errors

Chen, Gemai and J. You, M. Chen, X. Jiang
 

Vertex embeddings of regular polytopes

Adams, Josh, Zvengrowski, Peter and Laird, Philip
 

Winning ways for your mathematical plays. {V}ol. 2

Berlekamp, Elwyn R., Conway, John H. and Guy, Richard
 

Winning ways for your mathematical plays. {V}ol. 3

Berlekamp, Elwyn R., Conway, John H. and Guy, Richard
Powered by UNITIS. More features.