PHDDepartment of Mathematics
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Implementation of a modified procesi algorithm to compute covariants of binary forms of up to degree five and their relations
(Kenyatta University, 201611)In his book (Procesi,C., 2007), Claudio Procesi suggested a new algorithm for computing covariants of binary forms under the action of SL(2;C), based on an iterative computations of covariants of the simpler group U+. ... 
A numerical investigation of turbulent natural convection in a 3d enclosure using kw SST model and piso method
(Kenyatta University, 201610) 
Cycle indices, subdegrees and suborbital graphs of PGL(2,q) acting on the cosets of its subgroups
(Kenyatta University, 201601) 
Simulating the Effects of Dam Breakage on the Downstream Topography: Morphological Evolution of Mounds and a Furrow
(Kenyatta University, 201512)In this work we apply a nite volume discretization technique based on a relaxation scheme to simulate the morphological evolution of the topography as a result of a dam break, that causes ooding downstream of the ... 
Ranks and subdegrees of the cyclic group, the dihedral group and the affine group and associated suborbital graphs
(Kenyatta University, 201511) 
cycle indices, subdegrees and suborbital graphs of PSL(2,q) acting on the cosets of some of its subgroups
(Kenyatta University, 201512) 
Quantile Autoregression and its application to Financial Risk Management and Portfolio Optimization
(20140901)Increasing globalization, complexity of capital markets and the expanding range of exotic financial instruments have made financial risk management difficult to evaluate. As a consequence, a rise in use of more sophisticated ... 
An analysis of international tourism demand for Kenya
(20140818)Tourism sector in Kenya plays an important role in the national economy and has been identified as one of the six priority sectors in vision 2030 meant to drive the economy to attain 10 percent economic growth. International ... 
Investigating Sedenion Extension Loops and Frames of General Hypercomplex Numbers
(20130321)A sequence of algebras over the field of real numbers can be constructed, each with twice the dimension of the previous one. The algebra constructed by doubling complex numbers is the 22  dimensional quaternions. Next ... 
A study of some differentiable Manifolds
(20120611)I undertook the present task with the intention of making some contribution to the 'study of some Differentiable Manifolds'. The Differentiable Manifolds chosen are Finsler, Generalised recurrent Finsler and Special ... 
Robust variance estimation for finite population sampling
(20120608)After a sample has been obtained the statistic of interest can be computed. The next step (and a ore formidable one) is the assessment of the accuracy (precision) of the resulting statistic. The most commonly used measure ... 
A study of junior secondary school pupils competence in selected processes of science
(20120530)Junior secondary school pupils were tested in four processes of science. The test subjects consisted of a total of 516 students. There were 113 male second form students, 143 female second formers, 131 male third form ... 
On the spectrum of the cesaro operator
(20120524)This thesis consists of four chapters. In chapter one, we determine the most general continuous linear functional f X, where X is any semiconservative BKspace with +) as its ... 
Ranks and subdegrees of the symmetric groups sn acting on ordered relement subsets
(20120413)The action of the symmetric group S n on ordered subsets from the set X = { 1, 2, ... , n} is an aspect that seems to have received little attention for a long time. Most studies have focused on the action of S; on unordered ... 
Some Aspects of MHD Flows with Hall and IonSlip Currents
(20120105)The purpose of this thesis is to give the basic assumption and the formulation of the theory of the flow problems of megnetohydrodynamics (MHD), as well as to the various methods of solving these problems. ''An explicit ...

Implementation of a modified procesi algorithm to compute covariants of binary forms of up to degree five and their relations
(Kenyatta University, 201611)In his book (Procesi,C., 2007), Claudio Procesi suggested a new algorithm for computing covariants of binary forms under the action of SL(2;C), based on an iterative computations of covariants of the simpler group U+. ... 
A numerical investigation of turbulent natural convection in a 3d enclosure using kw SST model and piso method
(Kenyatta University, 201610) 
Cycle indices, subdegrees and suborbital graphs of PGL(2,q) acting on the cosets of its subgroups
(Kenyatta University, 201601) 
Simulating the Effects of Dam Breakage on the Downstream Topography: Morphological Evolution of Mounds and a Furrow
(Kenyatta University, 201512)In this work we apply a nite volume discretization technique based on a relaxation scheme to simulate the morphological evolution of the topography as a result of a dam break, that causes ooding downstream of the ... 
Ranks and subdegrees of the cyclic group, the dihedral group and the affine group and associated suborbital graphs
(Kenyatta University, 201511) 
cycle indices, subdegrees and suborbital graphs of PSL(2,q) acting on the cosets of some of its subgroups
(Kenyatta University, 201512) 
Quantile Autoregression and its application to Financial Risk Management and Portfolio Optimization
(20140901)Increasing globalization, complexity of capital markets and the expanding range of exotic financial instruments have made financial risk management difficult to evaluate. As a consequence, a rise in use of more sophisticated ... 
An analysis of international tourism demand for Kenya
(20140818)Tourism sector in Kenya plays an important role in the national economy and has been identified as one of the six priority sectors in vision 2030 meant to drive the economy to attain 10 percent economic growth. International ... 
Investigating Sedenion Extension Loops and Frames of General Hypercomplex Numbers
(20130321)A sequence of algebras over the field of real numbers can be constructed, each with twice the dimension of the previous one. The algebra constructed by doubling complex numbers is the 22  dimensional quaternions. Next ... 
A study of some differentiable Manifolds
(20120611)I undertook the present task with the intention of making some contribution to the 'study of some Differentiable Manifolds'. The Differentiable Manifolds chosen are Finsler, Generalised recurrent Finsler and Special ... 
Robust variance estimation for finite population sampling
(20120608)After a sample has been obtained the statistic of interest can be computed. The next step (and a ore formidable one) is the assessment of the accuracy (precision) of the resulting statistic. The most commonly used measure ... 
A study of junior secondary school pupils competence in selected processes of science
(20120530)Junior secondary school pupils were tested in four processes of science. The test subjects consisted of a total of 516 students. There were 113 male second form students, 143 female second formers, 131 male third form ... 
On the spectrum of the cesaro operator
(20120524)This thesis consists of four chapters. In chapter one, we determine the most general continuous linear functional f X, where X is any semiconservative BKspace with +) as its ... 
Ranks and subdegrees of the symmetric groups sn acting on ordered relement subsets
(20120413)The action of the symmetric group S n on ordered subsets from the set X = { 1, 2, ... , n} is an aspect that seems to have received little attention for a long time. Most studies have focused on the action of S; on unordered ... 
Some Aspects of MHD Flows with Hall and IonSlip Currents
(20120105)The purpose of this thesis is to give the basic assumption and the formulation of the theory of the flow problems of megnetohydrodynamics (MHD), as well as to the various methods of solving these problems. ''An explicit ... 
Some investigations on singular cauchy problems
(20111117)The purpose of our study is to get a solution to the Cauchy problem of (i) The wave equation in ndimension space Rn which is effectively a good example of regular Cauchy problems (ii) The Euler Poisson Darboux equation ... 
Modelbased non parametric regression estimation of the finite population total under twostage cluster sampling
(20110721)A modelbased nonparametric regression estimator for the finite population total under twostage sampling is proposed. In stage one, a sample of clusters is obtained and in stage two, sub samples of elements within each ...