Abstract: The purpose of this paper is to propose and investigate an algorithm for solving a fixed point of η-demimetric mappings. We establish the strong convergence of the proposed algorithm under some mild conditions in Banach spaces. We apply these results to obtain new strong convergence theorems which are connected with the η-demimetric fixed point problems in Hilber/Banach spaces.
Abstract: Heart rate variability refers to the variations in time interval between successive heart beats. An understanding of its dynamics can have clinical importance since it can help distinguish persons with healthy heart beats from those without. Our aim in this thesis was to characterise the dynamics of the human heart rate variabilty from three different groups: normal, heart failure and atrial fibrillation subjects. In particular, we wanted to establish if the dynamics of heart rat...
Abstract: Substance abuse in Botswana is a growing problem with a variety of drugs being abused including cocaine, heroin, methamphetamine, marijuana and alcohol among others. At the front line of attempting to address the drug abuse problem is the Botswana Substance Abuse and Support Network (BoSASNet) which operates outpatient rehabilitation and support ser vices that constitute its clinical programme. Due to the criminalisation and stigma associated with drug use and dealing in drugs, the...
Majorly, the world has experienced and is experiencing several outbreaks of infectious diseases that has resulted into an epidemic. The call for proper evaluation and optimal control strategies for such outbreaks is of topmost priority and also reduction or eradication of such infectious disease is paramount. Mathematical models have been developed to this effect to determine, evaluate, predict the spread and ascertain any future effect of such infectious diseases. Our main focus will be main...
Overtime the parameters commonly used to measure the population of a location are number of population in figure, population density in and population growth in percentage. These parameters are not enough to quantify the intensity of the population of the entities of a place. The previous methods of measuring population which are number of population in figure and population density in have huge, lengthy and large figure which is difficult to work with and interpret. Knowing the magnitud...
The generation of coefficients of terms of positive and negative powers of n and −n of Kifilideent rinomial theorem as the terms are progress is stressful and time-consuming which the same problem is identified with coefficients of terms of binomial theorem of positive and negative powers of n and −n. This slows the process of producing the series of any particular trinomial expansion. This study established Kifilideen coefficient tables for positive and negative powers of n and −n ...
Considering a cluster of different hierarchical order with various barrier or cadre levels and steps within levels, there is no availability of a structural framework to help exclusively analyze, formulate, identify, differentiate, and design standardized provisional values to cluster members at various barrier levels and steps within levels. This study designs stepwise analysis, generation, and applications of Kifilideen’s Matrix Structural Framework for an infinite term of increasing...
This is an incomplete analysis with a mathematical model of the novel coronavirus that aims at presenting a mathematical model that will help give a suitable prediction of the impact of asymptomatic patients who are either diagnosed or undiagnosed. Also, it would be used in estimating the impact of delayed or prompt treatment with individuals who are already tested or diagnosed.
Considering a cluster of different hierarchical order with various barrier/cadre levels and steps within levels, there is non availability of structural framework to help to exclusively analysis, formulate, identify, differentiate and design standardized provisional values to cluster members at various barriers levels and steps with levels. This study invents stepwise analysis and generation of Kifilideen matrix structural framework for infinite terms of increasing elements of successive co...
Kifilideen matrix had been in existence which emanate from the Kifilideen trinomial theorem for the arrangement of power combination of each term of the Kifilideen trinomial expansion in sequential order. The continuous interaction with the pattern, progression and sequential order in which the power combination of the positive and negative power of and of Kifilideen trinomial theorem are arranged in the Kifilideen matrix give incite that a general sequence can be developed to follow thi...
The four-figure of power of base numbers of tables needs to be created for easy synchronization with the existing Logarithm table of power of base 10 which is working on four figures. Although the five-figure of power base numbers of tables are more accurate because it is having less approximation in its establishment. The four-figure table is easy to compute doing utilization because it is having less digits to work with. This paper presents the four and five figures of Kifilideen (Powe...
Abstract A deterministic mathematical model for studying the transmission dynamics of malaria in Butaleja district was developed using ordinary differential equations (ODEs) where hinnans and mosquitoes interact and infect each other. fhe model has live non - linear differential equa tions with two state variables for mosquitoes (S,~anc I,, ) and three state variables for humans (S~ I~ and A,~) The available literature on previous work in this area was reviewed. Susceptible humans (S, ) are i...
The sequence of the power combination of expansion of the Kifilideen trinomial theorem of positive power of N is arranged in groups and patterns. Having a clearer view or picture of how the formulas of the components of the Kifilideen trinomial expansion were derived can lead to the discovery of formulating formulas for the series and sequences which follows the same pattern of progression as that of the trinomial expansion where series and sequence are not generated from trinomial expan...
This paper presents the four and five figures of Lekan (Power of base 5) and AntiLekan (Antipower of base 5) tables as a tool for mathematical computation.
This paper will focus on proving the four fundamental equations of the backpropagation. Then I will show how to use this algorithm combined with the stochastic gradient descent technique to implement the network for recognizing the handwritten digits. Parts of the proof are provided by the author Michael Nielsen in his online book Neural Networks and Deep Learning. Meanwhile, this paper will provide more details of his proofs and some basic definitions of gradient.