ABSTRACT Let R be a completely primary nite ring of characteristic pk, where p is a prime and k is a positive integer. Such nite rings have been studied extensively in recent years and the tools necessary for describing completely primary nite rings have been available for some time. However, their characterization is not exhaustive. Several attempts have been made in the recent past in the characterization of the unit groups of this class of rings though not in general. The characterization ...
ABSTRACT The classication of Smooth Geometric Manifolds still remains an open problem. The concept of almost contact Riemannian manifolds provides neat descriptions and distinctions between classes of odd and even dimensional manifolds and their geometries. Among the classes that have been extensively studied in the past are the Hermitian, Symplectic, Khalerian, Complex, Contact and Almost Contact manifolds which have applications in M-Theory and supergravity among other areas. The dierential...
ABSTRACT Predator-prey models describe the interaction between two species, the prey which serves as a food source to the predator. The migration of the prey for safety reasons after a predator attack and the predator in search of food, from a patch to another may not be instantaneous. This may be due to barriers such as a swollen river or a busy infrastructure through the natural habitat. Recent predator-prey models have either incorporated a logistic growth for the prey population or a time...
ABSTRACT The study is aimed at modelling drug addiction circle to provide a wide picture of the source of the hard drug addiction problem so as to get to know how to solve the menace that is eating up young adults. A schematic review technique is employed where data from a variety of research articles is analyzed and a collection of the findings described. The logistic model is to be used to describe what happens to the university students since they enrolled till they finish their course and...
ABSTRACT In this thesis we show the retlexivity of a Banach space, that is spaces embedded in their biduals.The concept is realized for the case that the canonical embedding into its bidual is surjective.We characterize u-ideals in Banach spaces having retlexive properties. We show that u-ideal achieves its norm on closed unit ball and for any retlexive Banach space X; u-ideal is always a closed ideal. We also show that u-deal contained in Jacobsonradical is a zero ring.
ABSTRACT Shannon introduced error detection and correction codes to address the growing need of eciency and reliability of code vectors. Ideals in algebraic number system have mainly been used to preserve the notion of unique factorization in rings of algebraic integers and to prove Fermat's Last Theorem. Generators of codes of ideals of polynomial rings have not been fully characterized. Ideals in Noetherian rings are closed in polynomial addition and multiplication. This property has been u...
ABSTRACT Sustainable exploitation of renewable resources such as marine sh has been a con- cern to both ecologists and economists with threats of species extinction due to over - exploitation a stark reality. Fish exhibits co-operative and social characteristics among individuals which increases its survival through predator surveillance and enhanced spawning. Overshing compromises this con - specic interactions and socialism. In this study, a mathematical model of a shery with an Allee eect ...
ABSTRACT As more and more Kenyans attach great value to education, there is need to look at use of instructional products on academic performance of students. Enough evidence abounds to show that students have problems in understanding concepts and skills, which are not systematically presented in mathematics. This study was designed to investigate the instructional potential of instructional plans in the teaching and learning of vectors in mathematics. The study adopted the Solomon Four-grou...
ABSTRACT Biogas production in third world countries is still un-optimized and produce very minimal outputs. Optimization of biogas quality by increasing the temperature of the bio-digester is quite technical. On the other hand, commercial enzymes used to increase biogas quantity are also expensive and substrate-specific. T. brownii and Acanthaceae spp. extracts were successfully used to hasten saccharification and fermentation of cellulose during the preparation of traditional alcohols. This ...
Abstract The study of duality properties of the spaces of analytic functions contin- ues to attract the attention of many mathematicians. Most studies have concentrated on the re exive Hardy and Bergman spaces both on the unit disk and the upper half-plane. For instance, Zhu, Peloso, among others have determined the duality properties of Hardy and Bergman spaces. For the non-re exive Bergman spaces of the disk, it was proved by Axler that the dual and the predual are identied as big and littl...
Abstract It is well known that in a nite ring with identity, every element is either a zero divisor or a unit. The classication of nite rings is not fully settled. Dierent studies have generated interesting results on certain classes of nite rings. It is worthwhile to note that completely primary nite rings have proved to be useful towards the classication of nite rings. This is due to the fact that a nite ring has a unique maximal ideal if and only if it is a full matrix ring over a complete...
Abstract Microtubules are hollow cylindrical protein structures found in all eukaryotic cells, and essential in several cellular processes, including cell motility, cell division, vesicle tra±ck- ing and maintenance of cell shape. The building block of microtubules, tubulin, is one of the proven targets for anticancer drugs. A microtubule exhibits a remarkable prop- erty, termed dynamic instability, in which it is able to switch stochastically between two distinct states. In one state, the m...
ABSTRACT Steady-state problems in Engineering and Applied Science can be modelled in a way that requires the solution of differential or integro-different in equations, involving the Laplacian equation. Numerical procedures instead of variation and analytical tecniques) are often applied through the finite difference approximations among other techniques. In this research, the finite-difference expressions for two two, three and n-dimensional Laplacian operator based on linear, quadratic and ...
ABSTRACT Several methods which have been adopted to analyze multi-category data yields unsatisfactory results because of strict assumptions regarding normality, linearity, and homoscedasticity. As a result, Multinomial logistic regression is considered as an alternative because it does not assume normality, linearity, or homoscedasticity (Hosmer & Lemeshow, (2000)). The study attempted to use Maximum likelihood estimation and predicted probability to model Maternal Health Care Services data b...