ABSTRACT Present work determined with analytical solution of steady state onedimensional heat conduction problems in cylindrical and spherical coordinates and simplifications of general forms of heat equation are often possible . Also ,discussed on Newton's law of cooling on two ways conduction and radiation the result obtained that Newton's law of cooling is consequence of conduction and not radiation . Through internal body interactions in cylindrical coordinates with boundary conditions t...
ABSTRACT In this dissertation, the problems of Magnetohydrodynamic unsteady free convection flow past vertical porous plates with suction and oscillating boundaries are studied. The linear and nonlinear partial differential equations governing the flow problems and boundary conditions were transformed into dimensionless form, and the perturbation techniques applied in getting analytical solutions for the velocity, temperature, the skin friction coefficient and Nusselt number. It was obse...
ABSTRACT It is well know that many physically significant problems in different areas of research can be transformed into an equation of the form Au = 0, (0.0.1) where A is a nonlinear monotone operator from a real Banach space E into its dual E∗ . For instance, in optimization, if f : E −→ R ∪ {+∞} is a convex, Gˆateaux differentiable function and x ∗ is a minimizer of f, then f 0 (x ∗ ) = 0. This gives a criterion for obtaining a minimizer of f explicitly. However, most of th...
ABSTRACT This study was carried out to investigate the effects of teaching methods (Discovery and lecture method), gender and school location on the performance of secondary school students in mathematics. A proportionate random sample of 356 senior secondary students was drawn from 20 secondary schools from Kano central senatorial zone using Morgan and Krejcie (1970) table for determining sample size. The sample was drawn from urban/rural dichotomy and gender wise. The sampled students were...
ABSTRACT This dissertation presents a systematic and critical study of the fundamenta.lli of soft set theory which includes soft set operations, soft set relations and functions, soft matrices and their properties. In course of studying operations on soft sets, the complementation operation is strengthened, some new results on distributive and absorption properties with respect to various soft set operations are obtained,and soft set operations and their corresponding soft matrix operations a...
ABSTRACT It is of great interest and concern to human beings to know why we do what we do in every sphere of life. Of particular interest is education because, it is a key factor in the developmental process or, in the affairs of every developing nation of which Ghana is one and that is what motivated the researcher into finding out the issues Cape Coast Polytechnic students consider in choosing to study at the Cape Coast Polytechnic. Purposive sampling technique was used to select the stude...
Most experimental situations call for standard designs that can be constructed with many statistical software packages. In some situations, however, standard designs are not appropriate or practicable. Computer-aided designs are experimental designs that are generated based on a particular optimality criterion and are generally optimal only for a specified model. In this work designs are generated for non-standard multifactor experiment using D-optimality criterion. The experiment invo...
This dissertation presents a systematic and critical study of the fundamenta.lli of soft set theory which includes soft set operations, soft set relations and functions, soft matrices and their properties. In course of studying operations on soft sets, the complementation operation is strengthened, some new results on distributive and absorption properties with respect to various soft set operations are obtained,and soft set operations and their corresponding soft matrix operations are s...
ABSTRACT This study deals with the reliability and availability characteristics of two different systems, the second system differs from the first system due to the additional feature of preventive maintenance. Reliability and Availability analysis of system having one active unit and one warm standby unit with self-reset function and one maintenance facility. The failure unit is repaired through self-reset or maintenance according to different failure model.( Mean Time to System Failure...
ABSTRACT A problem of the ratio-type estimators in Stratified Sampling is the use of non-attribute auxiliary information. In this study, some ratio-type estimators in stratified random sampling using attribute as auxiliary information are proposed. The sample mean of study variable and proportion of auxiliary attribute were transformed linearly and using auxiliary parameters respectively. Biases and mean square errors (MSE) for these estimators were derived. The MSE of these estimators were c...
ABSTRACT This study investigated whether the use of the balance model in the teaching and learning of linear equations can improve students‟ conceptual understanding in the principles of solving linear equations in one variable. The data was gathered using tests. A pre-test conducted on thirty (30) Form two pupils of Buasi Roman Catholic Junior High School and an analysis of the interviews enabled the development and the use of the balance model in the teaching of linear equations ...