ABSTRACT The dynamic buckling loads of some imperfection-sensitive elastic structures subjected to slowly varying time dependent loading are determined using perturbation procedures. First, we consider an elastically imperfect column resting on a softening nonlinear elastic foundation. The governing differential equation has two small parameters. We determine the dynamic buckling load of this column subjected to the stipulated loading for three different cases. The cases are when the small p...
ABSTRACT Let H be a real Hilbert space and K a nonempty, closed and convex subset of H. Let T : K ! K be an asymptotically nonexpansive map with a nonempty xed points set. Let fng1n =1 and ftng1 n=1 be real sequences in (0,1). Let fxng be a sequence generated from an arbitrary x0 2 K by yn = PK[(1 tn)xn]; n 0 xn+1 = (1 n)yn + nTnyn; n 0: where PK : H ! K is the metric projection. Under some appropriate mild conditions on fng1n =1 and ftng1 n=1, we prove that fxng converges strongly ...
Abstract Mathematical study of human pulse wave was studied with the view to gaining an insight into physiological situations. Fluid –Structure interaction (FSI) in blood flow is associated with pressure pulse wave arising from ventricular ejection. Solution of the coupled system of nonlinear PDEs that arose from the FSI was sought in order to determine pressure. Further study on pressure pulse waves showed that the Korteweg-de Vries (KdV) equations hold well for the propagation of nonline...
Abstract In recent years, advance in technology have made it possible for the stock markets to trade in real time and also for large dataset to be available for statistical analysis. Thus, we examined the impact of macroeconomic variables on the stock returns of 114 companies listed on the Nigerian Stock Exchange Market. We have established the mathematical framework required to solve our model and perform various empir- ical analysis on the stock market data and macroeconomic variable. The f...
Abstract In this paper, we apply the LINEST model of the Microsoft excel to the population, Nigeria (Naira) exchange rate with US Dollar and Internal Generated Revenue (IGR) of 2014 top-10 Nigerian states by IGR in billions of naira from 2010 to 2014 as in the data bases of National Population Commission (NPC), Central Bank of Nigeria (CBN) and National Bureau of Statistics (NBS) respectively. The indexed IGR is used as proxy for each state and the nation. The last census of 2006 by NP...
ABSTRACT Fast integer factorization is a problem not yet solved for arbitrary integers. Integer factorization methods are algorithms that find the prime divisors of any positive integer. The goal of this dissertation is to survey integer factorization algorithms and specifically the General Number Field Sieve algorithm. In this work, we outlined integer factorization methods. In particular, we consider the General Number Field Sieve (GNFS), the current fastest known algorithm for factorizin...
Abstract In this paper, comparison between the use of botanical methods of pest control and dipterex 25% grounded in controlling maize stem borer was done. An experiment was carried out at Midlands State University main campus during the rainy season of 2015-2016. A split-split plot design was used with two nitrogen levels as whole plot factor (0kg/ha and 100kg/ha), two varieties of maize as subplot factor (SC627 SeedCo and Pioneer 30G95) and six treatments of maize stem borer control method...
ABSTRACT Direction-of-arrival (DOA) estimation is an important branch in the field of array signal processing. It can be applied in such fields as wireless communication, sonar, radar, biomedicine, and radio detection. This fact together with the development of the geometries used in the past years is the principal motivation of this research project. Although various studies have focused on the uniform hexagonal array for direction finding, there is scanty use of the uniform hexagonal array ...
ABSTRACT Source direction-of-arrival estimation problem has received much attention in recent years following its significant role in array-signal processing and wide range of applications such as radar, wireless communication, sonar, seismology among others. Direction finding has been solved by several techniques such as Maximum likelihood estimator, MUltiple Signal Classification, Estimation of Parameters via Rotational Invariance Technique and Cram´er- Rao bound using array of sensors in ...
Abstract The performance in mathematics by students has persistently been poor. Students‘ attitudes towards mathematics have been a factor that is known to influence students‘ achievement in mathematics. The purpose of this study is to investigate the factors contributing to negative attitudes towards mathematics resulting in poor performance at O‘level and also establish the strategies that can be adopted to improve performance in mathematics by students in secondary schools in Kwekwe...
ABSTRACT This study which was conducted at Chifedza High School in Chivi District of Masvingo Province of Zimbabwe sought through a survey and quasi-experimental, to investigate the role of diagrams in problem-solving in Mathematics at form four level. The exploratory approach was chosen to guide the methodology of the study because of its pragmatic nature and ability to produce desired, practical, workable and more justifiable results. One secondary school in the district was visited for th...
ABSTRACT Let H be a real Hilbert space and K a nonempty, closed and convex subset of H. Let T : K ! K be an asymptotically nonexpansive map with a nonempty xed points set. Let fng1n =1 and ftng1 n=1 be real sequences in (0,1). Let fxng be a sequence generated from an arbitrary x0 2 K by yn = PK[(1 tn)xn]; n 0 xn+1 = (1 n)yn + nTnyn; n 0: where PK : H ! K is the metric projection. Under some appropriate mild conditions on fng1n =1 and ftng1 n=1, we prove that fxng converges strongly ...
ABSTRACT This dissertation looked at the fertility rate, fertility pattern and some of the diseases that cause fertility problems which leads to pregnancy wastage and fertility differentials in women within the reproductive age using binary Logistic and Multiple regression. The result shows that the average Total Fertility Rate (TFR) of sample I, sample II and sample III are approximately five (5) children per woman, seven(7) children and six (6) children respectively. The histogram and ...
ABSTRACT This study focused on the teaching and learning of slow learners in mathematics at secondary school level in secondary and high schools in Gweru Urban District. The researcher's main objective was to find out how slow learners in mathematics are being assisted at secondary school levels, the challenges, if any, which are being faced by the teachers in assisting these slow learners as well as the slow learners' perspectives towards the assistance they are being given by their mathemat...
Abstract The laminar boundary layer flow in an exponentially stretching stenosed artery immersed in viscous and incompressible blood is investigated along with the effect of a chemical reaction. Many researchers have used mathematical modelling to predict blood flow through stenosed arteries. Pressure, shear stress and velocity are the parameters that have been analysed in the past. Not a lot of work has been done to highlight the effect of heat transfer on an exponentially stretching stenose...