In this paper, analysis of magnetohydrodynamic third grade fluid in an inclined cylindrical pipe was
considered. The flow was assumed to be induced by the axial pressure gradient. The resulting governing
equations of flow were solved using the regular perturbation method. Results show that the Brinkmann and
the Eckert numbers have the tendency to slow the movement of the fluid in the centre line of the
cylinder,
as a result, the velocity increases near the wall associated with the constant flow rate at each section
of the
cylinder. Results further show that increase in the Grashhof parameter slightly reduced the temperature
of
the system, with the profiles converging to zero, satisfying the boundary condition and the walls of the
cylinder isothermally stable.
Keywords:Magnetohydrodynamic, third grade, cylindrical pipe.
1Department of Mathematics,
Faculty of Arts and Sciences
Amasya University, Amasya, Turkey
Email: [email protected]
2Institute of Sciences
Amasya University, Amasya, Turkey
Email: [email protected]
Page Number: 258-266
The object of the present paper is to study curvature properties of a normal paracontact metric manifold
with constant sectional curvature satisfying the conditions 𝑍̃(𝜉, 𝑋)𝑅 = 0, 𝑍̃(𝜉, 𝑋)𝑃 = 0,
𝑍̃(𝜉, 𝑋)𝑍̃ = 0,
𝑍̃(𝜉, 𝑋)𝑆 = 0 and 𝑍̃(𝜉, 𝑋)𝐶̃ = 0. According to these cases, we classified normal paracontact
metric
manifolds, where 𝑅 is the Riemanniann curvature tensor, 𝐶̃ is the quasi-conformal curvature tensor, 𝑃
is
the projective curvature tensor, 𝑍̃ is the concircular curvature tensor and 𝑆 is the Ricci tensor.
Keywords:Normal paracontact metric manifold, Einstein manifold, concircular
curvature tensor.
This study compared the effect of Using Puzzles and Probability Kits on Students’ Achievement on
Probability in Nigeria. A quasi-experimental research design was adopted for the study. The
population consisted of all senior secondary school two (SS2) students with a total number of 25,672
students. The sample consisted of 109 students, from two schools in Yenagoa Local Government Area
of Bayelsa State. A group of students were taught probability using crossword puzzle games while the
other group was taught probability using probability kit. The instruments used for data collection
were Probability Interest Scale (PIS) and Probability Achievement Test (PAT) with reliability
coefficient of 0.87 and 0.76 respectively. The scores obtained were analysed using mean, standard
deviation and Analysis of Covariance (ANCOVA) at .05 level of significance. The results revealed
that the mean interest and achievement scores of students taught probability using crossword puzzle is
higher than that of those taught using probability kits. However, there was no significant mean
difference in the interest and achievement of students taught probability using crossword puzzle
games and those taught probability using probability kit. Based on the findings of the study, therefore,
it was recommended that teachers should use both crossword puzzle games and probability kits in
teaching probability in order to enhance interest and achievement of students.
Keywords:Puzzles, Kits, Achievement, Interest, Probability.
A brain tumor is an abnormal tissue growth in the brain in which cells grow and
multiply uncontrollably. The main aim of our task is to identify brain tumor from a particular
MRI image and to extract the tumor region. The proposed method uses various digital image
processing techniques such as noise removal, Otsu’s thresholding, morphological operations etc.
This paper focuses on the use of marker-based watershed transform for segmentation, to get near
about accurate results.
Keywords:Brain tumor, MRI, Marker-based watershed transform, Morphological
operations, Otsu’s
Thresholding, Segmentation.
In this paper, we analyze the existence of fixed points for mappings defined on a complete revised fuzzy
metric space satisfying a contractive condition of integral type.
Keywords:Revised fuzzy metric space, Integral type contraction, revised fuzzy
contraction, fixed point.
In this article, we introduces the concept of the common fixed point theorem for three function in the
revised fuzzy metric space for different applications in the revised fuzzy 2-metric space and revised
fuzzy
3-metric with examples. Here, too, the result is generalized and improved.
Keywords:Revised fuzzy metric space, complete, continuous, fixed point
1Aboh, C. E.;2BIU, Emmanuel Oyinebifun;3Nkpordee, Lekia
1 Institute of Geosciences and Environmental Management,
Rivers State University, Nkpolu-Oroworukwo,
Port Harcourt, Rivers State, Nigeria
2 University of Port Harcourt, Choba, Rivers State, Nigeria
3 Department of Mathematics/Statistics,
Ignatius Ajuru University of Education, Rivers State, Nigeria
Page Number: 302-321
This study determine the trend component of global positioning system tidal datums obtained along the
coast of Nigeria. For the purpose of this study, we had to designate some stations as control stations
and
others as subordinate stations along the Nigeria Coastline. The control stations are stations considered
to
have 19 year record while the subordinate stations have information of less than 1 year. The control
stations are Lagos-Apapa, Warri and Bonny Ports. The subordinate stations are Lagos-Bar, Excravos,
Forcados, Akassa-Nun River Entrance, Brass river entrance, Port Harcourt Port, and Calabar Port. Three
trend curve were fitted on the water level movement from West-south to south-south of the Nigeria
coastline. Evaluation of the Results showed that the estimation control and subordinate stations daily
Mean sea level is 4.79m and 5.62m respectively. The highest mean water level is at Brass river entrance
with 7.49m, while lowest mean water level is at Warri Port with 3.45m. Then, the identify trend curve
from the GPS Levels for the stations is a cubic trend variability along the Nigeria Coastline. This
result
seem to indicate a semi-diurnal to mixed semidiurnal behavior along the Nigeria Coastline.
1 Department of Mathematics/Statistics,
Ignatius Ajuru University of Education, Rivers State, Nigeria
Email: [email protected]
2 University of Port Harcourt, Choba, Rivers State, Nigeria
Email: [email protected]
Page Number: 322-351
This work was to establish a predictive equation for crop production. It also provide empirical
information
and examination on comparative analysis of regression models and methods of estimating unbiased
parameters (i.e. six methods) with focus on crop production. Time series secondary data extracted from a
survey data carried out in Nigeria on crop production from the National Bureau of Statistics from
January
2010 to December 2021 were employed. The analyses of the data were done using these six methods:
Arithmetic Mean, Geometric Mean, Harmonic Mean, Wald, Bartlett, and Durbin's Methods. All
computations were done via Microsoft Excel, Gretl (version 18.0) and MINITAB (version 20.0). The
general regression model is given by (cassava and rice production are the
independent variables; “x1” jand “x2” while crop production is the dependent variable “yi”). Then, the
actual
model, centre of mean models and instrumental variables methods models were estimated. The result of the
parameters estimated for all the methods models are significant at 5%. In addition, the models'
residuals
sum of square (RSS), R-square value (R2
), Akaike Information criteria (AIC) and Bayesian Information
Criterion (BIC) of the models were calculated and compared. The results of the comparison identify the
Model F as the best model which parameter estimates was obtained by the Bartlett Method. Hence, Bartlett
Method of estimators is the best-unbiased parameters estimation method using the model selection
criteria
considered that is R-square value (R2
), AIC and BIC. This paper recommended that the six methods of
estimating unbiased parameters should be used with other crop produce to identify the model with the
estimators of the best-unbiased parameters.
Keywords:Unbiased Parameters, Model Selection Criteria, Centre of Mean Models,
Instrumental
Variables Methods Models, Regression Model, Crop Production
1 Department of Mathematics,
AlvanIkoku Federal College of Education, Owerri, Imo State, Nigeria
Email: [email protected]
Page Number: 352-355
Many of the famous women mathematicians experienced a spark. Something happened, and a love of
mathematics began. This paper is on Maryam Mirzakhani who was the only woman and Iranian to be
awarded with the Fields Medal, the most prestigious award in mathematics. Recollecting her love for
mathematics may ignite female students’ passion in mathematics. Perhaps, through her story, teachers
can provide that inspiration. Mathematics teachers can present the beauty of mathematics to the
students, helping engage them in a lifelong passion.
Keywords:Mathematics, Maryam Mirzakhani, Role Model
The work aimed at investigating the effects of some demographic parameters on economic and
population growths in Nigeria. As studied in the existing literatures, there are some rebellious voices
and argument that population and demographic change may not be the central to the state of
development for developing economy in a country like Nigeria. Therefore, we subjected this
contradicting long lasting argument using other parameters like level of corruptions, poor governance
and Labour force. We applied Granger Casuality, Ardl Approach to Cointegration, Model
Specification and ARDL Tests using the available data in other to dismantle this problem. The finding
showed that the ARDL bound which revealed there exist long-run relationship between the GDP, BR
and DR. and this implies that GDP can be predicted from BR and DR in the long run. The result from
Estimated Parameters yield that economic growth is positively affected by birth rate and negatively
affected by death rate. Model 3 tested the effects of changes in annual GDP, labour force, annual
health expenditure and corruption level on annual changes in population. The related results showed
that the factors mention significantly affected the economic growth in Nigeria. However Model 2 is
an argumentation of model 1 after inclusion of additional variables to see how the model will perform
after adding of other relevant variables, such as annual net migration (difference between immigration
and emigration), annual health expenditure in Nigeria, total labour force and corruption level. The
results revealed that level of corruption and poor governance has negatively impacted on the
economic growth in Nigeria.
Keywords:Granger Casuality, Ardl Approach, Cointegration, Economic, Population,
Growths,
Labour Force, Health Expenditure, Corruption level, GDP.
The role of Information and Communication Technology (ICT) in education cannot be underestimated. In
fact, the integration of ICT simplifies the teaching and learning process and enhances easy access to
the
contents of Islamic studies. Thus, it is incumbent on teachers of Islamic Studies to have necessary
skills,
knowledge and training on the usage of ICT tools in school. Hence, this study investigated assessment of
ICT skills among upper basic Islamic studies teachers in Kwara State, Nigeria. The study adopted the
descriptive research design. Krejcie and Morgan sampling table and purposive sampling technique was
employed to sample 358 Islamic studies teachers in upper basic schools within Ilorin metropolis of Kwara
State. Data collected were analysed using percentage and means and standard deviation to answer two
research questions. The results of the findings showed that use of internet, information search
strategy,
use of library software and online book selection and acquisition are the Islamic studies teachers’
perceived level of ICT skills in basic secondary schools in Kwara State. Based on these findings, it was
recommended among others that government and school authority should reward any teacher who tries
his/her hands on innovation ideas using ICT tools to teach. Teachers should also be resourceful as that
could motivate students to learn and perform better in their study.
Keywords:Assessment, ICT skills, Upper Basic School, Islamic Studies, Teachers
The study considers an empirical analysis of panel data with autocorrelation and little (insignificant)
heteroscedasticity. The findings revealed that Feasible Generalized Least Square is more appropriate
than
other estimation methods in the data; viz-a- vis; Pooled Ordinary Least Square and Between estimators.
In
addition, it was discovered that capital and trade-openness have an insignificant influence on the
economic
growth of the fifteen (15) Economic Community of West African States (ECOWAS).
Keywords:Panel data, Empirical, Estimator, Autocorrelation, Heteroscedasticity
This study examined modelling the trend of heart diseases in Nigeria using regression model a case
study of incidence of Tuberculosis (TB). The accumulated data used for this study was a secondary
statistical data extracted from survey information performed in Nigeria on incidence of Tuberculosis
(TB) from the World Development Indicators- World Bank from 2000 to 2021. It was found out that
based on p-value and Pearson (rho), there was a strong and positive relationship. The logistic
regression model was best fit and was used to make forecast of the trend of the incidence of
tuberculosis in Nigeria. It clearly showed that incidence of tuberculosis cases will be on the decreased
within the next 12 months starting from January, 2022 to December, 2022.
Keywords:Trend Analysis, Regression Model, Tuberculosis, Heart Diseases, Modelling
