iosr-Jm   Volume-20 ~ Issue-3 ~ May – Jun. 2024

Abstract : In this paper, we introduce the concepts sum - eccentricity divided by diameter of graph G, it is denoted by......

Key Word: sum - eccentricity, product - eccentricity, diameter, spectrum and energy

[1] Bukley F, Harary F Istance In Graphs. Addison Wesley, Redwood (1990).
[2] Cvetkovic D, Rowlinson P And Simic S. An Introduction To The Theory Of Graph Spectra. Cambridge University Press, Cambridge (2010).
[3] M. Deva Saroja, M.S Paulraj, "Equienergetic Regular Graphs", International Journal Of Algorithms, Computing And Mathematics Vol. 3, No.3, (2010) 21-25.
[4] M. Deva Saroja, M.S Paulraj, "Energy Of Complement Graphs Of Some Equienergetic Regular Graphs", Journal Of Computer And Mathematical Sciences Vol. 1, Issue 6, (2010) 754-757.
[5] Gutman I. The Energy Of A Graph. Ber. Math. Statist. Sekt. Forschungsz. Graz, 103 (1978) 1 - 22..

Abstract : Hypercyclicity is the study of linear and continuous operators that possess a dense orbit. Hypercyclicity of linear operators is one of the most studied properties of linear dynamics and has become an active area of research. Hypercyclicity of various types of elementary operators including the generalised derivations, left and right multiplication operators among others has been studied and various results obtained. In this paper we present some results on hypercyclicity of the basic elementary operator.

Keywords: Hypercyclicity , Basic elementary operator and Orbit

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Abstract : In the paper we have reviewed, analyzed and generalized the two applications of Vedic Mathematics Ekadhikena Purvena Sutra: the multiplication method and the division method, in finding the decimal representation of vulgar fraction having the standard numerator 1 and the denominator ending with the digits 1, 3, 7 and 9. The unit and non-unit fractions with denominators ending with the digits 2, 4, 5, 6, and 8 have also been discussed as exceptions. The short cut method available for both the multiplication and division methods, which reduces half of the procedures and thus time as well as space, has been found not suitable for all types of fractions i.e., it is not applicable for all the fractions. An example has been given to prove it. We have also discussed........

Key-words: Ekadhikena Purvena Sutra, Fraction, Decimal Representation, Recurring, Non-recurring, Binomial theorem for negative integral index

[1]. Bose, S. (2021). Vedic Mathematics, V & S Publishers, New Delhi, Pp. 25-28.
[2]. Ganesh, R.S., Hemamalini, K., Indhu, V. & Parbha, S. K. (2018). Review Of Vedic Sutras, International J. Of Creative Research Thoughts (Ijcrt), 6(1), Pp. 820-830.
[3]. Grewal, B. S. (2014). Numerical Methods In Engineering And Science, Khanna Publishers, New Delhi, Pp.9.
[4]. Gupta, V. K. (2015) Vedic Mathematics And The Mathematics Of Vedic Period – An Analysis And Application, 26 July – Dec, Pp- 01-12.
[5]. Gupta, A. (2018). The Power Of Vedic Maths, Jaico Publishing House, Mumbai, Pp. 79-83..

Abstract : Childhood obesity is one of the serious public health problems of 21st century. The prevalence has increased at an alarming rate and the problem is gradually affecting many developing countries including Bangladesh. The main objective of this study is to evaluate the prevalence and identify the risk factors of overweight and obesity among under-five year children in Bangladesh. This study obtained data from Bangladesh Demographic and Health Survey conducted in 2017-18. The final dataset of this study consists of 7672 children under the age of 5 years. Risk factors were identified by using quantile regression model. This study found age between 7-23 months, male gender, low......

Key Words: Prevalence, Overweight, Obesity, Quantile regression, Body Mass Index

[1] Ahmed, M.S., & Yunus, F.M. (2021). Prevalence And Socioeconomic Risk Factors Of Overweight Among The Under-Five Children In Bangladesh: A Nationwide Cross-Sectional Survey. Elsevier, 21:100315. Https://Doi.Org/10.1016/J.Obmed.2020.100315
[2] Athanasopoulos, D.T., Garopoulou, A.I., & Dragoumanos, V.P. (2011). Childhood Obesity And Associated Factors In A Rural Greek Island. Rural Remote Health, 11(4):1641. Https://Doi.Org/10.22605/Rrh1641
[3] Bjelanovic, J., Velicki, R., Popovic, M., Bjelica, A., & Jevtic, M. (2017). Prevalence And Some Risk Factors Of Childhood Obesity. Progress In Nutrition, 19:138- 45. Https://Doi.Org/10.23751/Pn.V19i2.4832
[4] Bhuiyan, M.U., Zaman, S., & Ahmed, T. (2013). Risk Factors Associated With Overweight And Obesity Among Urban School Children And Adolescents In Bangladesh: A Case–Control Study. Bmc Pediatric, 13(1):72. Http://Www.Biomedcentral.Com/1471-2431/13/72
[5] Bouchard, C. (2009). Childhood Obesity: Are Genetic Differences Involved? Am J Clin Nutr. 89(5):1494s-501s.
10.3945/Ajcn.2009.27113c.

Abstract : In order to understand how misinformation affects the spread of COVID-19, this research project is developing a mathematical model. Every continent has been affected by the respiratory disease COVID-19, which is brought on by the SARS-CoV-2 virus. The virus swiftly spread because of the unprecedented speed at which information, particularly false information, has spread in this century. A mathematical model will be put forth in this study to examine the effect of incorrect information on COVID-19 dissemination. The reproduction (RO) which is the average number.....

[1] Ahammed, T., Anjum, A., Rahman, M. M., Haider, N., Kock, R., & Uddin, M. J. (2021). Estimation Of Novel Coronavirus (Covid‐19) Reproduction Number And Case Fatality Rate: A Systematic Review And Meta‐Analysis. Health Science Reports, 4(2), E274.
[2] Bada, O. I., Oke, A. S., Mutuku, W. N., And Aye, P. O. (2021). Analysis Of The Dynamics Of Si-Si-Seir Avian Influenza A(H7n9) Epidemic Model With Re-Infection. Earthline Journal Of Mathematical Sciences, 5(1):43–73.
[3] Barua, Z., Barua, S., Aktar, S., Kabir, N., And Li, M. (2020). Effects Of Misinformation On Covid-19 Individual Responses And Recommendations For Resilience Of Disastrous Consequences Of Misinformation. Progress In Disaster Science, 8:100119.
[4] Cdc (2020). Covid-19 Dashboard.
[5] Hamre, D. And Procknow, J. J. (1966). A New Virus Isolated From The Human Respiratory Tract

Abstract : In the current work, we propose two modified Jacobi methods with two different preconditioners for 𝑀-matrices. For the superiority of the modified Jacobi methods, some comparison theorems and numerical examples have been introduced. The comparisons theorems and numerical experiments show that the proposed methods are better than the classical Jacobi method regarding memory requirement, time to converge and other necessary computation cost.

Keywords: Preconditioning, Preconditioned linear systems, 𝑀-matrix, Spectral radius, Modified Jacobi method (MJM), Comparison theorem

[1] A. D. Gunawardena, S. K. Jain, L. Snyder, "Modified Iterative Methods For Consistent Linear Systems", Linear Algebra Appl. 154/156 (1991) 123-143.
[2] H. Kotakemori, K. Harada, M. Morimoto, H. Niki, "A Comparison Theorem For The Iterative Method With The Preconditioner (I+SMax)", J. Comput. Appl. Math. 145 (2002) 373-378.
[3] D. J. Evans, M. M. Martina And M. E. Trigo, "The Aor Iterative Method For New Preconditioned Linear System", J. Comput. Appl. Math. 132 (2001) 461-466.
[4] Jing-Yu Zhao, Guo-Feng Zhang, Yan-Lei Chang, Yu-Xin Zhang, "A New Preconditioned Gauss-Seidel Method For Linear Systems", School Of Mathematics And Statistics, Lanzhou University, Lanzhou 730000, P.R. China (The Project-Sponsored By Srf For Rocs, Sem And Chunhui Programme).
[5] R.S. Varga, "Matrix Iterative Analysis", 2nd Edition, Springer, Berlin, 2000.

Abstract : The purpose of this study was to examine and compare the effectiveness of application and non-application mathematical tasks in two Ghanaian mathematics textbooks. A qualitative comparative content analysis model was employed. In this model, eight core Mathematics teachers from two Ghanaian senior high schools in two different municipalities in Ghana were interviewed after which the application and non-application mathematics tasks were.......

Keywords: Application tasks, non-application tasks, mathematics tasks, mathematics textbooks, raters, content analysis, comparative, codebook

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