1Master Student
Department of Physics
Pachaiyappa’s College, Shenoy Nagar, Chennai-600030. India
Email: [email protected]
2Associate Professor
Department of Physics
Pachaiyappa’s College, Shenoy Nagar, Chennai-600030. India
Email: [email protected]
Page Number: 336-357
The algebraic operations on lower-order matrices are a simple and easy one. But for higher dimensional
matrix the operations are trivial to do manually. In this project we intend to do algebraic operations like
addition, subtraction, multiplication of higher dimensional matrix (maximum of 16×16) by using Intel 8085
microprocessor assembly language program (ALP). The reason for choosing the above dimensional limit
is that we have small memory sized RAM. The elements of the matrices are restricted to a positive real
hexadecimal number since the registers can hold an only positive hexadecimal number
Keywords: intel-8085, matrix algebra, programmer model, hexadecimal.
In this paper, we propose a system of first order differential equations divided into four classes to describe
broiler production in Nigeria. The model incorporates previous training, years of experience, capital and
stocking capacity as major variables determining the dynamics of the physical phenomenon. The model
equations are stated with underlying assumptions. Using basic mathematical techniques, positivity,
boundedness, existence and uniqueness, of solution of the model are explored. The results showed that there
exists a unique, positive and bounded solution of the model. This suggests the applicability of the model to
study the determinants of broiler production in Nigeria and gives useful insights to assist economists and
researchers in their empirical studies.
Keywords: broiler, mathematical model, positivity, boundedness, existence and uniqueness of solution.
This study examined the inter-relationship among exchange rate, inflation rate, exports and imports in
Nigeria by applying the vector autoregressive model (VAR). The time plot of all the variables
showcased irregular movements whereas they test for stationarity at constant, constant and linear trend
all indicated stationarity of all variables at co-integration of order one I(1). The lag selection process
revealed the lag length of one (1), was sufficient for the model based on the Schwarz information
criterion. The stability test disclosed that the VAR model was stable as all the values of the characteristic
polynomial are less than one. The trace test and max Eigenvalue result displayed co-integration among
all the variables. The vector autoregressive model estimate indicated that export is significantly affected
by import at lag one and the combined lag of each variable significantly affected itself. The impulse
response function disclosed that all variable was affected by their shock positively and while negatively
affecting one another. However, long-run stability existed among the study variables such as exchange
rate, inflation rate, export and import. The steady-state condition can be reached between exports and
import in Nigeria. The study finally recommends that the exportation of goods should be improved
through the purchase of enhanced skill and means of manufacture; this will, in turn, decrease the request
for the importation of goods in Nigeria
Keywords: : Interrelationship, Co-integration, Impulse Function, Vector Autoregressive, variance
decomposition, Granger causality.
This theoretical investigation focuses on a scaling relation for rolling tachyon fields T(t) for a
homogeneous cosmology with the Friedmann-Lemaitre-Robertson-Walker (FLRW) metric. A Lagrangian
is set up and the Euler-Lagrangian equations are solved for it. The tachyon fields obtain from EulerLagrangian equations exhibits late-time acceleration i.e., cosmic acceleration with negative pressure.
Keywords:rolling tachyon, Lagrangian, Hubble parameter, cosmic acceleration, FLRW metric,
homogeneous cosmology, early Universe
In this research paper,we have discretized the nine point stencils inclduding four neighbourer point of
symmetric and asymmetric lines from the centre of proposed molecule for the laplacian operator by
implementing polar gird system.It is the modifiied five point scheme.For the discretization of laplacian
operator and concerning the explicit PDES and mixed derivative the finite onward time central space
differencing has been conceded Polar mesh system is very important to source out the track preference
ascending to computational and mathematical models.In ordinary differntial equation ODES the laplacian
operator labeled so many physical,fluid dynamics and chemical models just as gratvitational potentials and
electric,diffusion equation of heat,steady flow indcluding fluid flow with its types ,circulation of wave and
physics of quantumn and so many other examples.
Keywords:Finite differences method 65F05
This research work was on experimental investigation of Tin oxide blocking layer for dye-sensitized solar
with objective targeted at improved power conversion, efficiency and charge recombination that
contribute to low current in dye sensitized solar cells. Dye-sensitized solar cells (DSSCs) built upon
mesoporous titanium dioxide sensitized with organic dye extracted from dried Hibiscus sabdariffa with
three different materials used as blocking layers were fabricated. The dye extract and active layers were
characterized by UV-vis spectrophotometer, with the TiO2 sensitized with dye layer showing a band gap
of 3.0 eV, and hence could absorb incident solar radiation beyond the Ultraviolet region.
Photoelectrochemical properties of the DSSCs were determined using the Newport solar simulator. The
best performance among the DSSCs fabricated was obtained for the dye sensitized solar cell fabricated
with titanium dioxide as blocking layer with a conversion efficiency of 2.88%. The investigation showed
that dye sensitized solar cells fabricated with Tin oxide blocking layer showed lower conversion
efficiency when compared to dye sensitized solar cells fabricated with titanium dioxide as blocking layer.
Keywords:Titanium dioxide, optical properties, dye sensitized solar cell (DSSCs), band gap, Hibiscus
sabdariffa, monolithic, solar simulation properties.
The study investigated the effect of teaching geometry using mobile application instructional technique
on senior secondary students’ achievement in Bayelsa State, Nigeria. A quasi-experimental, pre-test, posttest, non-equivalent control group design was used in the study. All the mathematics students in the 3
federal unity schools formed the population of the study. One hundred and seventy nine (179) SS2
students from the two co-educational federal unity schools formed the sample of the study. Intact classes
were assigned by flipping of coin to either experimental or control group; and separately taught by their
regular mathematics teachers who had earlier been trained for the purpose. All the groups were pre and
post-tested. Geometry Achievement Test (GAT) containing forty (40) multiple choice items was used as
instrument for both the control and experimental groups. Six research questions and six research
hypotheses guided the study. Mean and standard deviation were used to answer the research questions,
while Analysis of Covariance (ANCOVA) was used to test the hypotheses at .05 levels of significance.
The result of the study showed that: students that were taught with mobile app instructional technique had
a higher achievement and interest scores than those taught with lecture method; it also indicated that there
was no significant difference in the mean achievement and interest scores of male and female, as well as
arts and science students taught geometry using mobile app instructional technique. Among such, it was
recommended that since mobile app instructional technique enhances students’ achievement and interest;
it should be implemented in the teaching and learning of geometry and mathematics in Nigerian
secondary schools and government and other stakeholders should ensure that teachers are trained
adequately to enable them utilize mobile devices for teaching and learning purpose.
Keywords:
Corona virus has challenged the global health through its asymptomatic carrier. An emergent cameo has
been seen towards telepsychiatric for the COVID19 patients and related members. Plenty of psychiatric
complications were observed in such patients. Mental treatments are essential at par with the COVID-19
treatments. The frontline COVID-19 warriors like physicians, nurses, hospital staffs, hospital drivers, etc
are at greater risks of being infected by the coronavirus and mental challenges. A telepsychiatric way to
ensure proper psychiatric treatment has been magnified in the context of post-COVID “New Normal”.
We have to learn to dwell safely with the said virus. The psychiatric complications are anxiety,
hopelessness, acute depression, fear, etc. If such mental illness being ignored then it leads severe
catastrophic disruption. A secured mechanism should be deployed in telemedicine consultations with
respect to the patients’ and doctors’ confidential data. Such data should not be shared without encryption
over the public medical networks. This article discusses the relevance of data security in the COVID-19
telepsychiatry, and the remote patients are safely treated globally from their isolates without any physical
contacts. Keywords: Coronavirus, Telepsychiatry, Patients’ Data Security
This study presents some left restriction semigroups LRS in partial transformation ℘𝕴{𝟑,𝟒,𝟓,𝟔,𝟕,𝟖,𝟗,𝟏𝟎} and
computed the kernels 𝐾(℘𝕴{𝟑,𝟒,𝟓,𝟔,𝟕,𝟖,𝟗,𝟏𝟎} ) for each element of LRS in ℘𝕴𝑿 .
Keywords:Kernels, Partial transformation, ideals, Left Restriction semigroups.
Multivariate Behrens-Fisher Problem is a problem that deals with testing the equality of two means
from multivariate normal distribution when the covariance matrices are unequal and unknown.
However, there is no single procedure served as a better performing solution to this problem. In this
study efforts were made in selecting four different existing procedures and examined their power and
rate to which they control type I error using different setting and conditions designed in the study. To
overcome this problem a code was designed via R Statistical Software and simulate random normal
data which independently run 1000 times, using MASS package in order to estimate the power and rate
at which each procedure control type I error rate. In the simulation result we discovered that some of
these existing procedures have equal and highest power in some certain settings like Yao and Adebayo,
Johansen and Yao, Krishnamoorthy and Adebayo, Yao and Krishnamoorthy but when P-variables is
increase we also found that these procedures with equal power varies significantly, where as some
procedures’ power decrease while some increases in power. For type I error rate where robustness and
nominal level matters we found that under some settings none of the procedure maintained nominal
level and some procedures lie outside the interval and considered non-robust. Yao and Adebayos were
found good when P=2 and sample size n1> n2, it is discovered that at a sample size (300, 200) all
procedures attained the nominal level. Keywords: Multivariate Behrens-Fisher, Johansen, Yao, Krishnamoorthy and Adebayos’
procedures, Power of Test, Error Rate.
In most of the censuses conducted in different countries reports on age are subject to errors arising from
a variety of causes. These include deliberate misstatement, tendency to report ages ending in certain
preferred digits and to avoid others, exaggeration of age at older ages, carelessness in reporting,
ignorance of correct age, fear, superstition, anticipation of benefits of unfavourable end points,
ignorance of date of birth, lead to the poor age estimation. However, this study aimed at using the agesex data from 2006 Nigeria population census, where the result shows poor in data quality as a result of
age misreporting and age heaping. More female are affected with age heaping and lack of educational
background in all levels of education attainment. Finally, female population out number that of male in
the state. There is a tendency of age heaping with terminal digits ‘0’ and ‘5’ indicating preference for
such ages, therefore people with terminal digit 7 and 8 are more reliable Keywords:Census, Whipple’s Index, Myers’s Blended Method, Age, Sex-ratio
