Browsing Department of Mathematics by Issue Date
Now showing items 1-20 of 35
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Countably categorical coloured linear orders
(Math. Log. Quart, 2010-03-18)In this paper, we give a classification of (finite or countable) ℵ0-categorical colored linear orders, generalizing Rosenstein’s characterization of ℵ0-categorical linear orderings. We show that they can all be built from ... -
Classification of Finite Coloured Linear Orderings
(Order, 2010-09-07)This paper concerns the classification of finite coloured linear orders up to n-equivalence. Ehrenfeucht–Fraïssé games are used to define what this means, and also to help analyze such structures. We give an explicit bound ... -
Ratio-cum-product estimator using multiple Auxiliary attributes in two-phase sampling
(Scientific Research Publishing Inc, 2014)In this paper, we have proposed three classes of ratio-cum-product estimators for estimating population mean of study variable for two-phase sampling using multi-auxiliary attributes for full information, partial information ... -
Group divisible designs of four groups and block size five with configuration (1; 1; 1; 2)
(Journal of Algebra Combinatorics Discrete Structures and Applications, 2016-03-03)We present constructions and results about GDDs with four groups and block size five in which each block has Configuration (1; 1; 1; 2), that is, each block has exactly one point from three of the four groups and two points ... -
Estimates for the number of eigenvalues of two dimensional Schr odinger operators lying below the essential spectrum
(arXiv preprint arXiv, 2016-09)The celebrated Cwikel-Lieb-Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schr odinger operators in dimension three and higher. The situation is much more difficult in the two ... -
Estimates for the number of eigenvalues of two dimensional Schrodinger operators lying below the essential spectrum
(arXiv preprint arXiv, 2016-09)The celebrated Cwikel-Lieb-Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schrodinger operators in dimension three and higher. The situation is much more difficult in the two dimensional ... -
A mathematical model for treatment of bovine brucellosis in cattle population
(Journal of Mathematical Modeling, 2017)Brucellosis is an infectious bacterial zoonosis of public health and economic significance. In this paper, a mathematical model describing the propagation of bovine brucellosis within cattle population is formulated. Model ... -
On the spectrum of the Laplacian on a strip with various boundary conditions
(Far East Journal of Mathematical Sciences (FJMS, 2017-07-30)In this paper, the spectrum of the Laplace operator on a strip with constant width subject to four different boundary conditions is investigated. In all the four situations, we prove that its spectrum starts from the first ... -
On estimates for the number of negative eigenvalues of two-dimensional Schrodinger operators with potentials supported by Lipschitz curves
(2017-08)In this paper we present quantitative upper estimates for the number of negative eigenvalues of a two-dimensional Schrodinger operator with potential supported by an unbounded Lipschitz curve. The estimates are given in ... -
Modeling the Dynamics of Banana Xanthomonas Wilt Transmission Incorporating Infectious Force in both Asymptomatic and Symptomatic Stages
(Journal of Advances in Mathematics and Computer Science, 2017-10-27)Despite massive efforts by regional governments and partners in the East and Central African Region towards _ghting Xanthomonas Wilt of banana, the disease is reported to continue to spread to new areas and resurge in ... -
Group Divisible Designs with Block Size Five from Clatworthy's Table
(Communications in Statistics - Theory and Methods, 2017-12-03)Clatworthy’s table [2] lists thirty seven designs with block size 5 where the number of groups is at the most equal to block size. Mwesigwa, Sarvate and Zhang have generalized one of these designs in a recent paper [16]. ... -
Application of the Boundary Element Method Using Time Discretization to the Advection-Convection Equation
(Journal of Applied & Computational Mathematics, 2018)The boundary element method is a numerical computational method of solving partial differential equations which have been formulated as integral equations. It can be applied in many areas of engineering and science including ... -
A Mathematical Model of Treatment and Vaccination Interventions of Pneumococcal Pneumonia Infection Dynamics
(Journal of Applied Mathematics, 2018)Streptococcus pneumoniae is one of the leading causes of serious morbidity and mortality worldwide, especially in young children and the elderly. In this study, a model of the spread and control of bacterial pneumonia under ... -
Ehrenfeucht-fra¨ iss´e games on a class of Scattered linear orders
(arXiv preprint arXiv, 2018-01-02)Two structures A and B are n-equivalent if player II has a winning strategy in the n-move Ehrenfeucht-Fra¨ıss´e game on A and B. In earlier papers we studied n-equivalence classes of ordinals and coloured ordinals. In this ... -
Eigenvalue Bounds for a Class of Schrödinger Operators in a Strip
(Journal of Mathematics, 2018-12-12)This paper is concerned with the estimation of the number of negative eigenvalues (bound states) of Schrodinger operators in a strip subject to Neumann boundary conditions. The estimates involve weighted 𝐿1 norms and 𝐿 ... -
Counting negative eigenvalues of one-dimensional schrodinger operators with Singular potentials
(Gulf Journal of Mathematics, 2019)In this paper, we extend the well-known estimates for the number of negative eigenvalues of one-dimensional Schrodinger operators with potentials that are absolutely continuous with respect to the Lebesgue measure to the ... -
On the discrete spectrum of Schr¨odinger operators with Ahlfors regular potentials in a strip
(Journal of Mathematical Analysis and Applications, 2019-03-15)In this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schrodinger operators with potentials generated by Ahlfors regular measures in a strip subject to two different ... -
On Optimal Representatives of Finite Coloured Linear Orders
(Order, 2019-05-02)Two structures A and B are n-equivalent if player II has a winning strategy in the n-move Ehrenfeucht-Fra¨ıss´e game on A and B. We extend earlier results about equivalence classes for finite colored linear orders, describing ... -
Accent and Ugandan Students’ Comprehension of Mathematical Concepts and Terms: An Experimental Study.
(African Journal of Teacher Education, 2020)The embrace of diversity and multiculturalism in education facilitates the broadening of students’ Experiences as they engage with teachers and classmates from backgrounds different than their own. However, while the ... -
The fundamental solution of the one–dimensional elliptic operator and its application to solving the advection–diffusion equation
(Research gate, 2020)The advection–diffusion equation is first formulated as a boundary integral equation, suggesting the need for an appropriate fundamental solution to the elliptic operator. Once the fundamental solution is found, then a ...
