Mathematics Research Papers/Topics

Convergence in Norm of Modified Krasnoselskii-Mann Iteration for Fixed Points of Asymptotically Demi Contractive Mappings

Abstract  This project report deals with the class of asymptotically demicontractive mappings in Hilbert spaces. We noted some historical aspects concerning the concept of asymptotically demicontractivity and studied a regularized variant of the Krasnoselskii-Mann iteration scheme, which ensured the strong convergence of the generated sequence towards the least norm element of the set of fixed points of asymptotically demicontractive mapping. Contents Certification ii Dedication iii Acknow...

Mathematical Model on Human Population Dynamics Using Delay Differential Equation

ABSTRACT Simple population growth models involving birth rate, death rate, migration, and carrying capacity of the environment were considered. Furthermore, the particular case where there is discrete delay according to the sex involved in the population growth were treated. The equilibrium and stability analysis of each of the cases were considered also. The stability analysis shows that the discrete delays in the population growth lead to instability in the growth. TABLE OF CONTENTS CERTIFI...

Fractional Mechanical Oscillator

TABLE OF CONTENTS Title Page i Certificate of Approval ii Dedication iii Acknowledgment iv Abstract v Table of contents vi 1. FRACTIONAL ORDER CALCULUS 2. FUNCTIONS OF FRACTIONAL CALCULUS 2.1 The Gamma function 3 2.2 The Beta Function 5 2.3 The Mittag-Leffler Function 5 2.4 Laplace Transform 7 2.5 The Convolution Theorem 9 2.6 Riemann-Liouville Fractional integral 10 2.7 Riemann-Liouville Fractional derivative 13 2.8 The Caputo’s Fractional Derivative 14 2.9 Laplace Transform of Fractional ...

Design and Implementation of a Poultry Farm Database Management System. (A Case Study of Chicken -Run Poultry Farm)

CHAPTER 1 Poultry Farming is the commercial raising of chickens, fowl, turkeys, geese, and ducks for their meat and eggs. The birds are kept intensively in a confined area where they are fed and managed carefully. Their economic significance varies considerably around the world. Poultry farming m Nigeria is a very economically and commercially viable business due to the fact that poultry birds do not jusl serve as meat, but also produce eggs for human consumption and other purposes. Al most ...

Determination of The Number of Non-Abelian Isomorphic Types of Certain Finite Groups

Abstract The first part of this work established, with examples, the fact that there are more than one non-abelian isomorphic types of groups of order n = sp, (s,p) = 1, where s1 was worked out and such groups have no non-abelian isomorphic types. This gave credence to the fact that a group of order 15 and its like do not have a non-abelian isomorphic type. It also generated the non-abelian isomorphic types of groups of order n = spq, where s, p and q are distinct primes considering the cong...

Computerization of Personnel Information Management System. (A Case Study of Alvan Ikoku College of Education Owerri) A Research Project Presented

ABSTRACT  This project is based on the computerization of the Personnel Information Management System. Before the advent of the Computer, the personnel information management system was manual. This presented a lot of disadvantages which include, misplacement of records, loss of documents, delayed work etc. This project highlights the design and implementation of a Computerized personnel information management system, which will handle all related information of every staff in all department...

Computerisation of The Operations of Church and School Supplies (Css) Bookshops

ABSTRACT Computerization of the operations of the Church and School Supplies (CSS) Bookshops was designed and implemented using Microsoft Access® 2000. The main aim is to improve the efficiency of Data Management and enhance Business Operations through the utilization of computer technology. This study identified and evaluated the application needs of Church and School Supplies (CSS) Bookshops operations and subsequently automated these operations. The Data Model used in this study is the R...

Computerization of Stock and Sales Operations (A Case Study of Abuja Capital Motors Nigeria Limited)

CHAPTER ONE 1.1   INTRODUCTION 1.2   Both the private and government sectors nowadays lay emphasis on strategic planning, balancing of records control and rapid response to a development problems. The result is a constant demand for better and more timely information. The need for efficient planning and controlling cannot be over-emphasized. This implies to. - a good system of management. This is especially true in the area of keeping accurate records of clients (customers) of an organi...

Computerization of Medical Record Department Case Study of Gwagwalada Specialist Hospital Federal Capital Territory(Fct) Abuja.

ABSTRACT In this project we design a computerized medical record system that will keep medical record of any medical centre. The researcher has selected to use Gwagwalada Specialist Hospital Federal Capital Territory as a case study. Medical record Department is one of the important department in any Medical Health centre that gives the.;. precise information of routine activity of the Hospital. Therefore, the management the hospital relies entirely on it in ma king their managerial decision...

Application of Computer Graphics in Presentation of Statistical Data

ABSTRACT This project is focus on the application of computer graphics in presentation of statistical data. The data ;1owever, is formatted to suit the purpose as demanded for presentation in the form of Pie chart and Bar cha1i. Each of the charts is used to give certain information about the data in pictorial form. Pie chart portrays the components of data and provides highlight on their relative magnitude. On the other hand, bar chart serves for comparison of characters of events, which co...

Econometrics Analysis of Gross National Income on Consumption Expenditure of Federal Republic of Nigeria Between (2011)

Abstract This research work studies the gross national income on consumption expenditure of the federal republic of Nigeria from 1992 – 2011 It is aimed at fitting a prediction equation for gross national income over consumption expenditure, gross national income over time, to forecast the future national income and to test significant difference between government and private final consumption expenditures. To achieve these, the methods of analysis employed are regression and correlation a...

On The Cycle Indices Of The Cyclic And Dihedral Groups Acting On The Cartesian Product Of X

ABSTRACT The concept of cycle index was first discovered by Howard Redfield in 1927. The cycle index formulas of various group actions have been computed since then by various authors. The formulas have been used to count graphs in mathematics and chemical compounds in chemistry. Therefore cycle index is a very useful tool in enumeration. It is widely applied in other fields of study like biology and jewelry industry. The cycle index of the symmetric group acting on ordered pairs, triples an...

Mathematical Modelling Of Variable Viscosity Hydromagnetic Boundary Layer Flow With Thermal Radiation And Newtonian Heating

ABSTRACT Magnetohydrodynamic boundary layer flow involving a fluid of varying viscosity subject to thermal radiation and Newtonian heating has various applications in industry and engineering some of the applications include designing of cooling systems used in electronic devices, cooling of nuclear reactors, harvesting of solar energy, thermal insulation, heat exchangers and in geothermal reservoirs. Heat transfer by thermal radiation is of significance to engineering processes that occurs ...

Mathematical Modeling Of Tuberculosis Dynamics With Hygiene Consciousness As A Control Strategy

ABSTRACT Tuberculosis, an air-borne infectious disease, remains a major threat to public health in Kenya. In this study we derived a system of non-linear ordinary differential equations from SLICR mathematical model of TB to study the effects of hygiene consciousness as a control strategy against TB in Kenya. The effective basic reproduction number (R0) of the model was determined by the next generation matrix approach. We established and analysed the equilibrium points. Using the Routh-Hurw...

The Effect Of Atmosphere On Earth-Space Radiowave Propagation Studies Of Tropical Satellite Communication In Nigeria.

Among other atmospheric region, ionosphere, which is the ionized region of the atmosphere, is considered to impose serious limitation on radio wave transmission while the effect of other layers, more especially, the troposphere is often treated as negligible. At higher frequency, radio waves pass through the ionosphere and are attenuated due to the free electrons present in it. However, recent studies have shown that while the ionospheric disturbances can be predicted on a global scale, trop...


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