Abstract The concept of unbounded operators provides an abstract framework for dealing with dierential operators and unbounded observable such as in quantum mechanics. The theory of unbounded operators was developed by John Von Neumann in the late 1920s and early 1930s in an eort to solve problems related to quantum mechanics and other physical ob- servables. This has provided the background on which other scholars have developed their work in dierential operators. Higher order dieren- tial o...
ABSTRACT Many studies have been done on fertility for many years. However, very little has been documented in the existing literature concerning modeling of fertility in the presence of interference, yet interference to fertility is a common phenomenon. In this study fertility data sets for Rwanda, Indonesia and Kenya were modeled before and after interference. The parameters of the model were estimated by the maximum likelihood estimation method. The model life table approach was used to det...
ABSTRACT Unsteady MHD heat and mass transfer over an infinite flat plate with convective surface boundary condition problems have received little attention yet they are of great importance in many scientific and engineering fields particularly in the manufacture and maintenance of ship propulsion unit and thermal energy storage processes in nuclear plants. Every research work that would give results aimed at improving the efficiency of the modern marine vessels is of significance to the field...
Abstract The norms of inner and generalized derivations on dierent kinds of al- gebras have been determined. However, the norms of their restrictions to norm ideals have not been fully explored. For instance, the concept of Suniversality having been introduced by Fialkow in 1979, has not been fully characterized yet it plays a critical role in the study of norms of derivations. In this study, we have investigated both the algebraic and the norm properties of a generalized derivation. Spec...
ABSTRACT The study of automorphisms of algebraic structures has contributed immensely to many important findings in mathematics. For example, Galois characterized the general degree five single variable polynomials f over Q, by showing that the roots of such polynomials cannot be expressed in terms of radicals, through the automorphism groups of the splitting field of f. On the other hand, the symmetries of any algebraic structure are captured by their automorphism groups. The study of comple...
ABSTRACT Completely positive maps is an important eld due to its signicance, application and mathematics itself. While discussing the properties of the positive maps, researchers have questioned whether the properties of the positive maps also hold for completely positive maps. In chapter 1, we have started with a C-algebra A, generated on A other C-algebras and then investigated these forms of C-algebras. We investigated whether the properties of A such as self-adjointedness and completeness...
ABSTRACT Inflation is increasingly becoming an important parameter that determines financial performance of central banks worldwide. Although many empirical studies have used time series and vector auto regression models to analyze inflation, very few studies have relied on the predictive ability of the logistic model which has a more intuitive interpretation for key issues such as drivers of inflation. The primary concern for every country is growing expectations about inflation which has re...
ABSTRACT Banks play signicant roles in a country's economy. For this reason many studies have been done on the management and general organization of banks. One such area is on queue management. It is common practice to see long queues of customers waiting to be served within the banking halls. Customers arrive at banking facilities randomly. Moreover, service time is also a random phenomenon. Currently, many institutions are moving away from single queue single server model to single queue-m...
ABSTRACT Small and Medium Enterprises (SMEs) play an important role in the economies of developed and developing countries, through creation of new jobs. Access to bank financial resources seems to be a major constraint to the growth of SMEs in the developing context. This study thus, aimed at finding out the constraints faced by SMEs in particular accessing bank financing. The study adopted the adverse selection theory of credit markets. This study adopted an explanatory and descriptive surv...
Abstract About 22.9 million people living with HIV/AIDS reside in sub-Saharan Africa, many of whom have progressed to AIDS over time. Kenya has high numbers of new infections; a total of 104,000 in the general population with paediatrics at 13,000 and adults at 91,000. Risk scores constructed using prognostic factors may be valuable in the early identication and intervention to patients at risk of progression to AIDS. There was therefore a necessity to come up with robust risk models that use...
ABSTRACT This thesis examined household demographic factors and how they influence poverty levels in Namibia. While most previous studies have used income and expenditure to define household socio-economic status levels, this study used a three poverty dimension approach namely health, education and living standard. This is because poverty is multidimensional. The data used came from the Namibia Household Income and Expenditure Survey (NHIES) of 2009/10. Initially, the Alkire Foster method wa...
ABSTRACT Malaria is endemic in Sanyati, accounting to approximately 3000 patients both outpatient attendance and admissions diagnosed of the disease yearly and 15% of all hospital deaths. The research analyzed the efficacy of prognostic risk factors in classifying malaria patients into low and high risk groups using discriminant analysis: a case study of Sanyati Baptist Hospital. Secondary data was extracted from the inpatient morbidity and mortality register available in the information depa...
Abstract Failure to characterize autochthonous sheep breeds may result to the extinction of the important natural resource which can easily adapt to the local variation in climate change. Environmental factors and some human practices especially artificial insemination is leading to the evolving of different pedigrees.Price determination is an important aspect in designing pricing models, but what really contributes to the weight of autochthonous sheep breed remains as the major question whic...
ABSTRACT Injuries caused by Motor Vehicle crashes were ranked 10th among the leading causes of death and 9th among the leading cause of disability worldwide (World Health Organization, 2013). In developing countries 90% of disabilities are caused by road traffic crashes. In Namibia, The Motor Vehicle Accident Fund spends approximately N$ 22,6 million monthly towards medical expenses of people injured in crashes (Tjihenuna, 2015), causing a concern, to the victims, their families and affects t...
Abstract We perform a detailed physical analysis for a class of exact solutions for the Einstein-Maxwell equations. The linear equation of state consistent with quark stars has been incorporated in the model. The physical analysis of the exact solutions is performed by considering the charged anisotropic stars for the particular nonsingular exact model obtained by Maharaj, Sunzu and Ray. In performing such an analysis we regain masses obtained by previous researchers for isotropic and anisotr...