# Research Papers/Topics in Applied Mathematics

##### Four and Five Figures of Kifilideen (Power of Base 11) and Antikifilideen (Antipower of Base 11) Tables as a Tool For Mathematics Computation

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...

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##### A Mathematical Model for the Transmission Dynamics of Malaria in Eastern Uganda: A case Study of Butaleja District

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...

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##### DERIVATION OF FORMULAS OF THE COMPONENTS OF KIFILIDEEN TRINOMIAL EXPANSION OF POSITIVE POWER OF N WITH OTHER DEVELOPMENTS

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...

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##### 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 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.

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##### Proofs for the Four Fundamental Equations of the Backpropagation and Algorithms in Feedforward Neural Networks

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.

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##### Inauguration of Kifilideen Theorem of Matrix Transformation of Negative Power of – n of Trinomial Expression in Which Three Variables x, y and z are Found in Parts of the Trinomial Expression

Kifilideen trinomial theorem of negative power of – n is theorem which is used to generate the series and terms of a trinomial expression of negative power of – n in an orderly and periodicity manner that is based on standardized and matrix methods. Negative power of Newton binomial theorem had been used to produce series of partial fractions of a compound fraction. The establishment of the negative power of - n of trinomial theorem would extend the number of compound fraction in whic...

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##### Development of Positive Power of Kifilideen Trinomial Using Matrix Approach

Overtime the arrangement of the terms of the trinomial expansion of power of n has been an issue in the area of orderliness and periodicity which as make it difficult to assign each element of the expansion in a standardize term. The study developed Kifilideen trinomial theorem using matrix approach. The Kifilideen equations to determine the power combination of any term of kif trinomial expansion and position of any term in the series of the expansion in a group or column of a kif matrix...

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##### COMPUTATION OF THE POWER OF BASE OF TWO DIGITS NUMBER USING KIFILIDEEN (MATRIX, COMBINATION AND DISTRIBUTIVE (MCD)) APPROACH

The different methods used in the multiplication of numbers are long method (column method) of multiplication, grid methods and addition methods of multiplication. The utilization of the methods mentioned to solve power (index) of base number (number that multiply itself in a number of times) are horrendous, outrageous, tedious, time consuming and too long to be carried out. This study develops computation of the power of base of number using Kifilideen (matrix, combination and distributi...

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##### POWER OF BASE 11 (KIFILIDEEN TABLE) AND ANTIPOWER BASE 11 (ANTIKIFILIDEEN TABLE)

Mathematics should be dynamic not static. The use of logarithm table which is based on power of base ten to solve mathematical problem has been in existence for nearly 400 years ago without any alternative which makes mathematics look static, austere and monotonous. Some real life mathematical problem encounter on daily basis in field of Engineering, Physics, Mathematics, Finance, Cosmology, Accounting, Carpentering and Medicine involve problem on other base power of number and in addition ...

1,283 PAGES (357451 WORDS)
##### Time Series Analysis on Consumption of Electricity in Kwara State A Case Study of a Nepa District Office From 2001-2015

TABLE OF CONTENT COVER PAGE APPROVAL PAGE DEDICATION ACKNOWLEDGEMENT TABLE OF CONTENT 1.1           INTRODUCTION 1.2           BACKGROUND AND ITS OPERATION 1.3           SIGNIFICANCE 1.4           SCOPE OF STUDY 1.5           AIMS AND OBJECTIVE 1.6           PROBLEMS AND LIMITATION OF STUDY 1.7           DEFINITION OF TERMS 1.8           ABBREVIATION USED CHAPTER TWO 2.0     LITERATURE REVIEW 2.1...

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##### Dynamics of Ebola Virus

In this work a deterministic and stochastic model is developed to investigate the dynamics of Ebola epidemic. The model includes susceptible, exposed, infected, quarantined and removed or recovered individuals. The model used in this work is based on a deterministic model. The Chowel et. al (2015) work on early detection of Ebola is modified by introducing an assumption that the quarantined class is totally successful and cannot infect the susceptible class. The resulting model is transformed...

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##### Dynamics and Simulation of Corona Virus Epidemic

This work investigated the dynamics of coronavirus amongst the susceptible individuals. It is established herein, with a proposition that there exists a control strategy that is bounded above by 0.01 for the contact rate of susceptible individuals. It is observed that at a=d=1.5, the virus population and the human population coincides, however, at c=b=0.1, almost all the human population is infected by the virus. It is also observed that at endemic state, the corona virus population experienc...

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##### Implementation Of A Modified Procesi Algorithm To Compute Covariants Of Binary Forms Of Up To Degree Five And Their Relations

ABSTRACT In his book (Procesi,C., 2007), Claudio Procesi suggested a new algorithm for computing covariants of binary forms under the action of SL(2;C), based on an iterative computations of covariants of the simpler group U+. In Procesi book the computation was carried out only for binary forms of degree 3 and 4, but the _rst signi_cant test for the algorithm would be the computation for degree 5. In 2010 summer school in Algebra organized by ICTP in Kenya, Procesi suggested the implementati...

188 PAGES (32928 WORDS)
##### Investigating Turbulent Convection In A Rectangular Enclosure Using Shear Stress Transport K-ω Model

Studies have been done on the aspect ratio effect on natural convection turbulence using standard k-ε model but further studies showed that k-ω SST model performed better than both k-ε and k-ω model in the whole enclosure. Thus, there was need to do a numerical study on the natural convection fluid flow in a rectangular enclosure full of air using SST k-ω model. The left vertical wall of the enclosure was maintained at a steady high temperature Th of 323K while the right wall at a s...

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##### Heat And Mass Transfer In Magnetohydrodynamics Flow About A Horizontal Plate Past, A Finite Porous Plate

Abstract An investigation of heat and mass transfer in MHD  ow about a horizontal plate past nite plate, in a porous medium was carried out. The eect of magnetic eld on mass and heat transfer was investigated. The study was governed by Navier- stokes equations, energy equation, Ohm's law and concentration equation. These equations were formulated inform of partial dierential equations to represent the general phenomena of mass and heat. Then, the general equations were modied into spe...

77 PAGES (15452 WORDS)

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