Mathematics Research Papers/Topics

Overflow Detection And Correction Techniques In Rns Arithmetic Computations

ABSTRACT There is speed limitation on hardware built on Weighted Number Systems (WNS) due to carry propagation. In recent years, attempts have been made to circumvent the speed limitation imposed on WNS in arithmetic operations by investigating into number systems such as Residue Number System (RNS) which has special carry characteristics for parallel computations. RNS is carry-free in nature and is able to support parallel and high speed arithmetic such as addition and multiplication. Overfl...

Unsteady Stagnation Point Flow With Partial Slip

ABSTRACT  The no-slip boundary condition at a solid-liquid interface is primarily to understanding fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this work, we investigate numerically and theoretically the subject involving partial slip boundary conditions. The physical imagery that emerges is that of a complex behaviour at an unsteady hydromagnetic stretching solid interface, with stagnation point ...

Quasiconvex Functions On Time Scales And Applications

ABSTRACT  In this thesis, the notion of quasiconvex functions on time scales and some properties are established. The subdifferential for quasiconvex function on time scales is presented as well as some properties regarding quasiconvex function. Some Jensen’s inequalities for quasiconvex functions on time scales are also given with some applications. The study again proves that Jensen’s inequality holds for quasiconcave monetary utility function in conjunction with convex, concave, quasi...

Temporal Modelling Of Currency In Circulation In Ghana

ABSTRACT  The Currency in Circulation is the outstanding amount of notes and COIns circulated in the economy and are the most liquid monetary aggregate. In this study, data on monthly Currency in Circulation obtained from the Bank of Ghana database was modelled using both SARIMA model and Regression model with ARIMA errors. The results revealed that ARIMA (0, 1, 1)(0, 1, 1)12 model was the best SARIMA model for the Currency in Circulation. This model has the least AIC of -372.16, AICc of -37...

Application Of Linear Programming To Media Selection Planning: A Case Study Of Mobile Telecommunication Network (Mtn)

ABSTRACT Generally this research used Linear Programming techniques to investigate the budgetary allocation of MTN Company for effective media selection planning. The problem was formulated as a linear programming technique by using the available data obtained from the company and other media sources. Mathematical software which embodied the simplex algorithm techniques such as Quantitative Manager for Business version 3.2 and Linear Programming Solver version 5.2.2 were used to solve the res...

A Construction Of P-Groups Via Wreath Products

ABSTRACT This research is essentially an upgrade or extension of the results of Audu on wreath product of permutation groups. In this work, a generalization of the concept of wreath product is considered based on the notion of an algebraic structure called Permutation group. Some basic procedures for computing wreath products of groups, the construction of groups as wreath products of cyclic groups and a generation of Sylow p-subgroups from resulting Cyclic groups are investigated. I mainly a...

Modelling Extreme Temperature Behaviour In Upper East Region, Ghana.

ABSTRACT The impacts of extremely high temperatures on plants, human beings and animals’ health have been studied in several parts of the world. However, extreme events are uncommon and have only attracted attention recently. In this study, extreme temperature behaviour was modelled through the application of extreme value theory using maximum monthly temperatures over a 32 years period. Data on monthly maximum temperature from the Upper East Region were modelled using generalized extreme ...

Lie Groups, Lie Algebras and some applications in Physics

ABSTRACT Given a Lie algebra g and its complexication gC, the representations of gC are isomorphic to those of g. Moreover, if g is the corresponding Lie algebra of a connected and simply connected Lie group G then the representations of the Lie group in question are isomorphic to those of gC. This thesis explains the basic concepts of Lie groups and Lie algebras. Further, the basic representation theory of Lie groups and Lie algebras, particularly those of semisimple Lie algebras is discuss...

A Study On The Role Of Green’s Function In Solving Boundary Value Problems

ABSTRACT The study of Green’s Functions and applications of BVPs solving different integration has been put in place in order to provide a broad understanding to the existence of Green’s Functions on solving Ordinary Differential Equations with nth order. The Green’s Functions plays an important role in solving boundary value problems of Ordinary Differential Equations. The solutions of some BVPs for linear ODEs can be denoted by its Green’s Function. Some BVPs for nonlinear Differen...

On A Global Solution Of The Navier -Stokes Equations With Internal Body Forces

ABSTRACT The main objective of this study is on a global solution of the Navier-Stokes equations with internal body forces. The internal body forces play very important in both theory and application with Navier-Stokes equations. We discussed about the general solution for ordinary differential equations (ODES) and partial differential equations (PDES). Also they used the MAC model for incompressible flow. The study has been conducted in order to provide abroad understanding the existence of...

An Optimal Energy Mix Investment For Ghana

ABSTRACT This study aimed at finding a minimum cost of investment in Renewable Energy (RE) sources, specifically in Hydro, Wind, Solar and Biomass that will meet projected demand levels in specific time periods in the future and ensure a modest (10%), (20%) or an ambitious (30%) incorporation of these renewable energy sources. To do this, a relevant optimization model was formulated and discussed. The Levelized Cost of Energy (LCOE) model adopted for the purpose was also discussed in detail....

Yield Evaluation Of Fifteen Rice (Oryza Sativa. L) Genotypes Under Rainfed And Irrigated Conditions In Northern Ghana.

ABSTRACT This study was undertaken to examine the nature and quantify the magnitude of Genotype by Environment interaction effects on rice (Oryia Sativa L.) grain yield and to determine the most stable and winning genotype (s) in terms of yield stability and performance in two rice producing hubs. The study was conducted at four locations within two rice producing hubs in Northern Ghana on fifteen (15) rice genotypes including a checking genotype GR18 red. A randomized complete block design ...

Statistical Analysis Of Weight Gain Of Children Under-Five Years In The Kintampo Municipality, Ghana

ABSTRACT The role of weight-for-age babies in the early childhood and its effects on later lives of children cannot be over emphasized. Birth weight according to Murthy (1991) is a key indicator of the incidence of infant mortality and thus, a reflection of the socio-economic development of a country. The main objective is to use statistical models to assess the change in weight of children over time and to investigate whether maternal characteristics such as marital status, educational leve...

On The Existence of Prime Numbers in Polynomial Sequences, And Odd Perfect Numbers

ABSTRACT It is known that certain polynomials of degree one, with integer coefficients, admit infinitely many primes. In this thesis, we provide an alternative proof of Dirichlets theorem concerning primes in arithmetic progressions, without applying methods involving Dirichlet characters or the Riemann Zeta function. A more general result concerning multiples of primes in short-intervals is also provided. This thesis also considers problems concerning the existence of odd perfect numbers. T...

Unified Reverse Conversion Architectures For Some Powers Of Two Moduli Sets

ABSTRACT Residue Number System (RNS) has found a wide spread usage in a number of digital signal processing applications such as digital filtering, Discrete Fourier transform , Convolution, Correlation, communication, and cryptography. This is due to the following RNS inherent features: modularity, parallelism, carry free addition, borrow free subtraction, and fault tolerance. The major challenges ofRNS architecture lie in moduli set selection and in the reverse conversion (conversion from r...


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