Abstract American Power Put Option (APPO) is a financial contract with a nonlinear payoff that can be applied at any time on or before its expiration date and offers flexibility to investors. Analytical approximations and numerical techniques have been proposed for the valuation of Plain American Put Option (PAPO) but there is no known closed-form solution for the price of APPO. Mellin transform is a useful method for dealing with unstable mathematical systems. This study was designed to der...

ABSTRACT T-cell diversity has a great influence on the ability of the immune system to recognise and fight the wide variety of potential pathogens in our environment. The current state of art approach to profiling T-cell diversity involves high-throughput sequencing and analysis of T-cell receptors (TCR). Although this approach produces huge amounts of data, the data has noise which might obscure the underlying biological picture. To correct these errors, two computational methods have been d...

ABSTRACT Loan default is one of the major problems facing most financial institutions. The solution to this problem has been the use of a mathematical model to determine the probability of default of clients of these financial institutions. This study proposes a mathematical model for predicting the probability of default of clients from a microfinance institution. The logistic and survival analysis methods were used in building the model. The results from the logistic regression model showed...

ABSTRACT Many infectious diseases including malaria are preventable, yet they remain endemic in many communities due to lack of proper, adequate and timely control policies. Strategies for controlling the spread of any infectious disease include a rapid reduction in both the infected and susceptible populations. (if a cure is available) as well as a rapid reduction in the susceptible class if a vaccine is available. For diseases like malaria where there is no vaccine, it is still possible to ...

ABSTRACT This study was undertaken to assist DBE ONE „A‟ students of St. Francis College of Education, Hohoe to improve on their conceptual knowledge of linear inequalities in one variable using the beam balance model. The entire DBE ONE „A‟ students represented the population of the study. Data was gathered through instruments such as test in the form of pre-test and post-test. Due to the large size of the population a total of 40 students which represented 20% of the 200 DBE ONE �...

ABSTRACT This study was set out to examine the barriers to ICT integration into Mathematics teaching and learning in selected Senior High Schools in the Central Region of Ghana. Specifically, the study aimed to examine the effects of internal barriers (constructive teaching beliefs, teaching experience, attitudes toward computer and technology competence) and external barriers (access to technology use, level of training in the use of technology, time adequacy, as well as, the culture of the ...

ABSTRACT The non-differentiable L1-norm penalty in the L1-norm regularized least squares problem poses a major challenge to obtaining an analytic solution. The study thus explores smoothing and non-smoothing approximations that yields differentiable loss functional that ensures a close-form solution in over-determined systems. Three smoothing approximations to the L1-norm penalty have been examined. These include the Quadratic, Sigmoid and Cubic Hermite. Tikhonov regularization is then a...

ABSTRACT This research work was set out to see, if Geometer’s Sketchpad could be used to enhance the ability level of SHS 4 students of Osei Tutu II College in the location of the coordinate of the image of a point or geometrical object under Rigid Motion in a Cartesian plane. A non-probability sampling technique known as purposive sampling was employed to select the sample for the study. In all, 45 SHS 4 students comprising 34 girls and 11 boys were involved in the study. The main resear...

ABSTRACT In this work, necessary and sufficient conditions are investigated and proved for the controllability of nonlinear functional neutral differential equations. The existence, form, and uniqueness of the optimal control of the linear systems are also derived. Global uniform asymptotic stability for nonlinear infinite neutral differential systems are investigated and proved and ultimately, the Shaefers’ fixed point theorem is used to forge a new and far- reaching result for the...

An overview of Christoffel symbols and covariant derivative

The problem of integration technique over integrands of the form f(t)/t^n, can be solved by differentiation(n times) by using Leibniz's rule to get rid of t^n, that leads to integrate back (n times) to end the game which it's harder than the original problem.This work focuses on the derivation of the formula (Pagano's Theorem) which is a perfect tool to avoid that hard task. It allows to change the difficult n iterated integrals into a more outstanding easier problem which consists of n -...

Abstract: An introduction to Laplace Transform is the topic of this paper. It deals with what Laplace Transform is, and what is it actually used for. The definition of Laplace Transform and most of its important properties have been mentioned with detailed proofs. This paper also includes a brief overview of Inverse Laplace Transform as well as a brief overview of application in control system. A few practical life�...

The mathematical equations and concepts we learned in schools can actually be summed up to be relevant in the prediction, estimation and understanding of certain real world situations or problems that surrounds us. Some examples could be, How can we predict the break of a new infectious disease affecting the country Nigeria? How can reduction in the import of items into the country Nigeria affect the long term economy of the country Nigeria? How can we apply certain mathematical concept in ...

ABSTRACT: Infectious disease has become a source of fear and superstition since the first ages of human civilization. In this study, we consider the Discrete SIR model for disease transmission to explain the use of this model and also show significant explanation as regard the model. We discuss the mathematics behind the model and various tools for judging effectiveness of policies ...

Mathematical models here serve as tools for understanding the epidemiology of Human Immunodeficiency Virus (HIV) and Acquired Immunodeficiency Syndrome (AIDS) if they are carefully constructed. The research emphasis is on the epidemiological impacts of AIDS and the rate of spread of HIV/AIDS in any given population through the numericalization of the Basic reproductive rate of infection (R0). Applicable Deterministic models, Classic Endemic Model (SIR), Commercial Sex Workers (CSW) model, Dyn...