American Journal of Mathematics and Statistics, 2016
The Birch and Swinnerton-Dyer Conjecture is a well known mathematics problem in the area of Ellip... more The Birch and Swinnerton-Dyer Conjecture is a well known mathematics problem in the area of Elliptic Curve. One of the crowning moments is the paper by Andrew Wiles which is difficult to understand let alone to appreciate the conjecture. This paper surveys the background of the conjecture treating the ranks of the elliptic curves over the field of rational numbers. Then we present major results like the theorems of Mordell and Mazur leading us to the current state of the conjecture.
Prevalence of cardiovascular disease in Africa has increased in recent years. Studies suggest tha... more Prevalence of cardiovascular disease in Africa has increased in recent years. Studies suggest that cardiovascular disease will soon be the most important cause of morbidity and mortality in Africa. The objective of this study was to determine the prevalence of cardiovascular risk factors in patients presenting to the cardiac clinic of the Department of Medicine, Komfo Anokye Teaching Hospital (KATH), Kumasi, Ghana. Medical records of 432 patients were selected from the cardiac clinic, using simple random sampling. The demographic characteristics of the patients together with the prevalence of cardiovascular disease risk factors were examined. The patients were aged between 13 - 97 years with the mean age (+/-standard deviation) of 55.35 (+/-19) years. There were more females 229 (53 %) than males 203 (47 %). The main cardiovascular risk factors seen included: hypertension (48.4 %), overweight and obesity (46.3 %), dyslipidaemia (43 %), Electrocardiographic left ventricular hypertrop...
The study investigated the presence of volatility in two insurance companies listed on the Ghana ... more The study investigated the presence of volatility in two insurance companies listed on the Ghana Stock Exchange. In checking for the presence of volatility, several ARIMA (p,d,q) models were fitted separately to the log return series of the two companies and the best model selected using the AIC and BIC selection criterion. Using the selected ARIMA (p,d,q) models, the residuals of the model were obtained and presence of ARCH effects evaluated using the ARCH-LM test for each company. The ARCH-LM test revealed that there were no ARCH effects in both companies, thus, fitting either an ARCH or a GARCH model to the series was not the best. The ARIMA (1,0,2) model was thus used in forecasting the returns of EGL whereas the ARIMA (1,0,1) model was used in forecasting returns of SIC.
International journal of statistics and applications, 2016
The recent rise in the number of road traffic accidents by a report of the Ghana National Road Sa... more The recent rise in the number of road traffic accidents by a report of the Ghana National Road Safety Commission in 2012, calls for a review of drug driving. This study was conducted to assess the use of drugs by commercial drivers in Ghana and to determine the social factors that contribute to drug driving. Drivers of different vehicles like cargo trucks and passenger buses were selected from commercial bus and cargo terminals for the study. A total of three hundred (300) drivers were selected for the study. The determinant factor(s) were selected into the fitted logistic regression model. A five (5) percent statistical significance level is required for a variable to stay in a model. Approximately, 34 percent of the respondents admitted using drug when driving and seventy (70) percent learned how to drive from unapproved driving institutions. There are significant association between drug driving and Educational status, Distance traveled, Time (hours) used in driving by commercial...
... Boadi whom He gave to me as a wife. We did this work together, Joyce, and without you there w... more ... Boadi whom He gave to me as a wife. We did this work together, Joyce, and without you there would not have been Dr. Richard Kena Boadi. iv Page 6. ... My sincere thanks also goes to my second supervisor Dr. SA Opoku whose tremendous help has brought me this far. To ...
In this paper, we discuss inverse eigenvalue problems for singular Hermitian matrices. In particu... more In this paper, we discuss inverse eigenvalue problems for singular Hermitian matrices. In particular, we investigate how to construct n×n singular Hermitian matrices of rank 2 and 3 from a given prescribed spectral data. It is found that given the spectrum and the multipliers k i where i = 1, 2, 3, · · · , n − r, the inverse eigenvalue problem for n × n singular Hermitian matrices of rank r is solvable. Numerical examples are presented in each case. Mathematics Subject Classification: 15A29
Hypertension is one of the most important chronic non-communicable diseases with increasing preva... more Hypertension is one of the most important chronic non-communicable diseases with increasing prevalence worldwide. The objective of this study was to develop a regression model of hypertension using binary logistic regression based on data from the cardiac clinic of the Komfo Anokye teaching hospital (KATH) Kumasi. Data from a total of 300 patients were studied. The demographic characteristics of the patients as well as the significant risk factors associated with hypertension were examined. The patients were aged between 17-88 years with a mean age (± standard deviation) of approximately 40 (±15.8) years. There were more females (60%) than males (40%). Educational level; primary education (19.6%), tertiary education (10.73%), alcohol intake (11.89%), sex (0.45%), age (44.65%), body mass index (BMI) (14.7%), family history of hypertension (3.3%) and Islamic religious affiliation (6.12%) were significantly associated with high probability of an individual developing hypertension in Ku...
International Journal of Pure Mathematical Sciences, 2016
In this paper we prove some trace identities in SL(3,C) and SU(2,1) groups. We also present the m... more In this paper we prove some trace identities in SL(3,C) and SU(2,1) groups. We also present the merits on how to parametrise pair of pants via traces and cross-ratio. Finally, we compute traces of matrices that are generated by complex reflections in complex triangle groups.
In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphi... more In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphic isometry group of complex hyperbolic 2-space. In this paper, we use a description of these lattices given by Thurston in terms of cone metrics on the sphere, which is equivalent to Deligne and Mostow's description of them using monodromy of hypergeometric functions. We give an explicit fundamental domain for some of Mostow's lattices, specifically those with large phase shift. Our approach follows Parker's approach of describing Livné's lattices in terms of cone metrics on the sphere. The content of this paper is based on Boadi's PhD thesis.
This paper focuses on the study of a one dimensional topological dynamical system, the tent funct... more This paper focuses on the study of a one dimensional topological dynamical system, the tent function. We give a good background to the theory of dynamical systems while establishing the important asymptotic properties of topological dynamical systems that distinguishes it from other fields by way of an example-the tent function. A precise definition of the tent function is given and iterates are clearly shown using the phase diagrams. By this same method, chaos in the tent map is shown as iterates become higher. We also show that the tent map has infinitely many chaotic orbits and also express some important features of chaos such as topological transitivity, boundedness and sensitivity to change in initial conditions from a topological viewpoint.
In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphi... more In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphic isometry group of complex hyperbolic 2-space. In this paper, we use a description of these lattices given by Thurston in terms of cone metrics on the sphere, which is equivalent to Deligne and Mostow’s description of them using monodromy of hypergeometric functions. We give an explicit fundamental domain for some of Mostow’s lattices, specifically those with large phase shift. Our approach follows Parker’s approach of describing Livné’s lattices in terms of cone metrics on the sphere. The content of this paper is based on Boadi’s PhD thesis.
International Journal of Business and Management, 2015
The study examined and modeled stock market volatility of financial return series for three liste... more The study examined and modeled stock market volatility of financial return series for three listed equities on the Ghana Stock Exchange (GSE). A historical data from 25<sup>th</sup> June 2007 to 31<sup>st</sup> October 2014 was considered for the analysis. The series for each of the three equities were tested for stationarity using the KPSS test. Series found to be non-stationary were transformed to be stationary. The study fitted a GARCH (p, q) model for volatility. GARCH (1, 1), GARCH (1, 2), GARCH (2, 1) and the GARCH (2, 2) models were fitted to residual series of some three equities. Results revealed the presence of volatilities in all three equities and also showed that volatility though present was not persistent in the three equities. For each of the companies under study, the GARCH (1, 1) model was found to outperform the other three models based on the comparison of the AICc for each model. The study recommended the use and comparison of other varia...
This study used non-experimental, quantitative, exploratory, descriptive and inferential methods ... more This study used non-experimental, quantitative, exploratory, descriptive and inferential methods of statistical analysis to establish student's mathematics interest and to presents a logistics regression model for the student's interest in mathematics. Respondents were purposefully and randomly selected from University of education, Winneba Kumasi campus to participate in the research. Student's questionnaires on interest in mathematics, factors that affect teaching and learning of mathematics were used for the study. Results from 650 students who responded to the various questionnaire items revealed that student's interest in mathematics is dependent on whether or not students like mathematics as a subject. The teacher's motivation was also found to positively affect student interest in mathematics as well as the method and approach adopted by the teacher in teaching mathematics. Access to textbooks by students was also found to positively influence the student&...
American Journal of Mathematics and Statistics, 2016
The Birch and Swinnerton-Dyer Conjecture is a well known mathematics problem in the area of Ellip... more The Birch and Swinnerton-Dyer Conjecture is a well known mathematics problem in the area of Elliptic Curve. One of the crowning moments is the paper by Andrew Wiles which is difficult to understand let alone to appreciate the conjecture. This paper surveys the background of the conjecture treating the ranks of the elliptic curves over the field of rational numbers. Then we present major results like the theorems of Mordell and Mazur leading us to the current state of the conjecture.
Prevalence of cardiovascular disease in Africa has increased in recent years. Studies suggest tha... more Prevalence of cardiovascular disease in Africa has increased in recent years. Studies suggest that cardiovascular disease will soon be the most important cause of morbidity and mortality in Africa. The objective of this study was to determine the prevalence of cardiovascular risk factors in patients presenting to the cardiac clinic of the Department of Medicine, Komfo Anokye Teaching Hospital (KATH), Kumasi, Ghana. Medical records of 432 patients were selected from the cardiac clinic, using simple random sampling. The demographic characteristics of the patients together with the prevalence of cardiovascular disease risk factors were examined. The patients were aged between 13 - 97 years with the mean age (+/-standard deviation) of 55.35 (+/-19) years. There were more females 229 (53 %) than males 203 (47 %). The main cardiovascular risk factors seen included: hypertension (48.4 %), overweight and obesity (46.3 %), dyslipidaemia (43 %), Electrocardiographic left ventricular hypertrop...
The study investigated the presence of volatility in two insurance companies listed on the Ghana ... more The study investigated the presence of volatility in two insurance companies listed on the Ghana Stock Exchange. In checking for the presence of volatility, several ARIMA (p,d,q) models were fitted separately to the log return series of the two companies and the best model selected using the AIC and BIC selection criterion. Using the selected ARIMA (p,d,q) models, the residuals of the model were obtained and presence of ARCH effects evaluated using the ARCH-LM test for each company. The ARCH-LM test revealed that there were no ARCH effects in both companies, thus, fitting either an ARCH or a GARCH model to the series was not the best. The ARIMA (1,0,2) model was thus used in forecasting the returns of EGL whereas the ARIMA (1,0,1) model was used in forecasting returns of SIC.
International journal of statistics and applications, 2016
The recent rise in the number of road traffic accidents by a report of the Ghana National Road Sa... more The recent rise in the number of road traffic accidents by a report of the Ghana National Road Safety Commission in 2012, calls for a review of drug driving. This study was conducted to assess the use of drugs by commercial drivers in Ghana and to determine the social factors that contribute to drug driving. Drivers of different vehicles like cargo trucks and passenger buses were selected from commercial bus and cargo terminals for the study. A total of three hundred (300) drivers were selected for the study. The determinant factor(s) were selected into the fitted logistic regression model. A five (5) percent statistical significance level is required for a variable to stay in a model. Approximately, 34 percent of the respondents admitted using drug when driving and seventy (70) percent learned how to drive from unapproved driving institutions. There are significant association between drug driving and Educational status, Distance traveled, Time (hours) used in driving by commercial...
... Boadi whom He gave to me as a wife. We did this work together, Joyce, and without you there w... more ... Boadi whom He gave to me as a wife. We did this work together, Joyce, and without you there would not have been Dr. Richard Kena Boadi. iv Page 6. ... My sincere thanks also goes to my second supervisor Dr. SA Opoku whose tremendous help has brought me this far. To ...
In this paper, we discuss inverse eigenvalue problems for singular Hermitian matrices. In particu... more In this paper, we discuss inverse eigenvalue problems for singular Hermitian matrices. In particular, we investigate how to construct n×n singular Hermitian matrices of rank 2 and 3 from a given prescribed spectral data. It is found that given the spectrum and the multipliers k i where i = 1, 2, 3, · · · , n − r, the inverse eigenvalue problem for n × n singular Hermitian matrices of rank r is solvable. Numerical examples are presented in each case. Mathematics Subject Classification: 15A29
Hypertension is one of the most important chronic non-communicable diseases with increasing preva... more Hypertension is one of the most important chronic non-communicable diseases with increasing prevalence worldwide. The objective of this study was to develop a regression model of hypertension using binary logistic regression based on data from the cardiac clinic of the Komfo Anokye teaching hospital (KATH) Kumasi. Data from a total of 300 patients were studied. The demographic characteristics of the patients as well as the significant risk factors associated with hypertension were examined. The patients were aged between 17-88 years with a mean age (± standard deviation) of approximately 40 (±15.8) years. There were more females (60%) than males (40%). Educational level; primary education (19.6%), tertiary education (10.73%), alcohol intake (11.89%), sex (0.45%), age (44.65%), body mass index (BMI) (14.7%), family history of hypertension (3.3%) and Islamic religious affiliation (6.12%) were significantly associated with high probability of an individual developing hypertension in Ku...
International Journal of Pure Mathematical Sciences, 2016
In this paper we prove some trace identities in SL(3,C) and SU(2,1) groups. We also present the m... more In this paper we prove some trace identities in SL(3,C) and SU(2,1) groups. We also present the merits on how to parametrise pair of pants via traces and cross-ratio. Finally, we compute traces of matrices that are generated by complex reflections in complex triangle groups.
In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphi... more In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphic isometry group of complex hyperbolic 2-space. In this paper, we use a description of these lattices given by Thurston in terms of cone metrics on the sphere, which is equivalent to Deligne and Mostow's description of them using monodromy of hypergeometric functions. We give an explicit fundamental domain for some of Mostow's lattices, specifically those with large phase shift. Our approach follows Parker's approach of describing Livné's lattices in terms of cone metrics on the sphere. The content of this paper is based on Boadi's PhD thesis.
This paper focuses on the study of a one dimensional topological dynamical system, the tent funct... more This paper focuses on the study of a one dimensional topological dynamical system, the tent function. We give a good background to the theory of dynamical systems while establishing the important asymptotic properties of topological dynamical systems that distinguishes it from other fields by way of an example-the tent function. A precise definition of the tent function is given and iterates are clearly shown using the phase diagrams. By this same method, chaos in the tent map is shown as iterates become higher. We also show that the tent map has infinitely many chaotic orbits and also express some important features of chaos such as topological transitivity, boundedness and sensitivity to change in initial conditions from a topological viewpoint.
In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphi... more In his seminal paper of 1980, Mostow constructed a family of lattices in PU(2, 1), the holomorphic isometry group of complex hyperbolic 2-space. In this paper, we use a description of these lattices given by Thurston in terms of cone metrics on the sphere, which is equivalent to Deligne and Mostow’s description of them using monodromy of hypergeometric functions. We give an explicit fundamental domain for some of Mostow’s lattices, specifically those with large phase shift. Our approach follows Parker’s approach of describing Livné’s lattices in terms of cone metrics on the sphere. The content of this paper is based on Boadi’s PhD thesis.
International Journal of Business and Management, 2015
The study examined and modeled stock market volatility of financial return series for three liste... more The study examined and modeled stock market volatility of financial return series for three listed equities on the Ghana Stock Exchange (GSE). A historical data from 25<sup>th</sup> June 2007 to 31<sup>st</sup> October 2014 was considered for the analysis. The series for each of the three equities were tested for stationarity using the KPSS test. Series found to be non-stationary were transformed to be stationary. The study fitted a GARCH (p, q) model for volatility. GARCH (1, 1), GARCH (1, 2), GARCH (2, 1) and the GARCH (2, 2) models were fitted to residual series of some three equities. Results revealed the presence of volatilities in all three equities and also showed that volatility though present was not persistent in the three equities. For each of the companies under study, the GARCH (1, 1) model was found to outperform the other three models based on the comparison of the AICc for each model. The study recommended the use and comparison of other varia...
This study used non-experimental, quantitative, exploratory, descriptive and inferential methods ... more This study used non-experimental, quantitative, exploratory, descriptive and inferential methods of statistical analysis to establish student's mathematics interest and to presents a logistics regression model for the student's interest in mathematics. Respondents were purposefully and randomly selected from University of education, Winneba Kumasi campus to participate in the research. Student's questionnaires on interest in mathematics, factors that affect teaching and learning of mathematics were used for the study. Results from 650 students who responded to the various questionnaire items revealed that student's interest in mathematics is dependent on whether or not students like mathematics as a subject. The teacher's motivation was also found to positively affect student interest in mathematics as well as the method and approach adopted by the teacher in teaching mathematics. Access to textbooks by students was also found to positively influence the student&...
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