iosr-Jm   Volume-19 ~ Issue-4 ~ July – Aug. 2023

Abstract : Boolean algebra has played a significant role in the important and complicated task of designing electronic gadgetries. While it is desirable to get the minimal Boolean expressions in designing circuits, it is not necessarily uniquely available. In this paper, we present an algorithm for determining a Minimal Expression from the complete list of Prime Implicants.

Keywords: Minimal Boolean Expression, Prime Implicants, Circuit design, Algorithm, Digital logic, Circuit optimization

[1]. Birkhoff And . C. Bartee, Modern Applied Algebra, Delhi: Mcgraw-Hill, 1970.
[2]. N. Biswas, Logic Design Theory, India: Prentice Hall, 1993.

Abstract : In this paper, our aim is to verifynon –Newtonian Power law model according to stress and strain rate of hepatic artery in presence of stenosis which is axis-symmetric shape during malaria and employing Navier Stoke's equation in cylindrical co-ordinate system.Here weconsideredblood flowtwo phase in which first phase is of blood plasma and second is that of red blood cells. All required formulations are written in tensorial form and to calculatethe value of parameter.......

Keywords –Stenosis, Hematocrit, Blood pressure drop, Non- Newtonian power law model, Stress, Strain rate.

[1] Vollmar B, Memgermd.The Hepatic Microcirculation: Mechanistic Contributions And Therapeutic Targets In Liver Injury And Repair, Physiol.Rev.1269-1339, 2009.
[2] Hwang S.Microcirculation Of The Liver. Venous Remobilization Of The Liver.Doi 10.1007/978-1-84882-122-4_2, 2011.
[3] Berry AK,Kapoor AS,Nagabhushanamr. Animal Physiology, 1981.
[4] Cotran Ramzi S, Kumar Vinay, Fausto, Nelson, Nelso Fausto, Robbins Stanley L,Abbas, Abul K.,Robbins And Cotran Pathologic Basis Of Disease(7th Ed.)Stlouis,MO: Elsevier Saunders P.878, 2005.
[5] Tortora Gerardj,Derrickson Bryan H. Principles Of Anatomy And Physiology (12thed.)John Wiley & Sons.2008, 945.

Abstract : This study investigated magnetohydrodynamic (MHD) flow in a rotating system between stationary horizontal parallel plates with mass transfer through a porous medium. The equations governing the flow were non- dimensionalised and solved using Finite Difference (FD) methods in MATLAB. The effect on non-dimensional parameters on velocity and concentration profiles were analysed and presented graphically. The study revealed that an increase in the magnetic parameter and Grashof number led to a decrease in velocity. The findings have practical applications in engineering and industries such as polymer processing, glass fibre production, metallurgy, and paper production.

Keywords –MHD, Mass transfer, Porous medium

[1]. Ahmed, N., Kalita, H., & Barua, D. P. (2010). Unsteady MHD Free Convective Flow past a Vertical Porous Plate Immersed in a Porous Medium with Hall Current, Thermal Diffusion and Heat Source International Journal of Engineering, Science and Technology, 2(6): 59-74
[2]. Arif MS, Shatanawi W.Nawaz Y. (2023) Modifined Finite element study for Heat and Mass Transfer of Electrical MHD Non-Newtonian Boundary Layer Nanofluid Flow. Mathematics 11(4):1064. https://doi.org/10.3390/math11041064.
[3]. Bathaiah,D. & Venkataramana,S., (1986). 'Bouyance Effect on MHD Flow past permeable bed,' Dcf Science Journal 36 (4, October): 395- 408
[4]. Cortell (2019) https://doi.org/10.1016/j.icheatmasstransfer 2019.05.007
[5]. Christian & Jean Louis (2002). Magnetohydrodynamic flows in a porous media. Journal of fluid mechanics 466:343-363, DOI:10.107/S0022112001404

Abstract : This paper introduces an alternative approach to a well-established theorem in statistical theory, pertaining to the evaluation of the expected value of the reciprocal of the number of distinct units in multiple samples drawn independently and without replacement from a population. Designed with pedagogical considerations in mind, this new approach aims to make the theorem more accessible for teaching purposes. The paper emphasizes the theoretical underpinnings of the concept and its potential for assessing the diversity of any characteristic of interest in a sample, contributing to a broader understanding of this fundamental aspect of statistical theory.

Keywords – Survey Sampling, Distinct Units, Expectation of the Reciprocal of Distinct Units, Pedagogical
Considerations

[1]. M. C. Agrawal, "On Averaging Over Distinct Units In Replicated Samples," Statistics: A Journal Of Theoretical And Applied Statistics, Vol. 13, No. 1, Pp. 91-97, 1982.

Abstract : In the research of team sports such as ball games, the research method based on network science is in the stage of rapid development. Based on the data of 203 offensive rounds of Guangdong Dongguan bank basketball team in the second and third finals of China professional men's Basketball League (CBA) 2019-2020 season, this paper establishes a passing network model sequence with offensive rounds as the time axis, and discusses the relationship between the topology index of passing network and the success or failure of offensive rounds by using Logistic regression method. The results show that the average clustering coefficient and efficiency value in the passing network have significant influence on the success of offensive round. The probability of success of the offensive round will decrease with the increase of the clustering coefficient in the passing network, and the higher the efficiency value of the player handling the ball at the end of the round, the higher the success rate of the offensive round. Considering the unpredictability of the game, the result was reasonable..

Keywords – basketball offensive round; passing network; topology index; Logistic regression; factor analysis.

[1]. Wang X F, Li X, Chen G R. Network Science: An Introduction[M]. Beijing: Higher Education Press, 2012
[2]. Scott J. Social Network Analysis [M], 4th Edition. London: Sage Publications Ltd, 2017
[3]. Barabási A L. Network Science[M]. New York: Cambridge University Press, 2016
[4]. Clemente F M，Martins F M L，Kalamaras D，Et Al. Network Analysis In Basketball：Inspecting The Prominent Players Using Centrality Metrics［J］. Journal Of Physical Education And Sports, 2015,15（2）:212-217.
[5]. Zhang Y，Yang G S. The Application Of Social Network Analysis In Team Sports Performance：A Review[J/Ol]. China Sport Science And Technology. Https://Doi.Org/10.16470/J.Csst.2019177 .(Ch)
[6]. Fewell J H, Armbruster D, Ingraham J, Et Al. Basketball Teams As Strategic Networks[J/Ol]. Plos One, 2012, 7(11): E47445[2019-9-17]. Https://Doi.Org/10.1371/Journal.Pone.0047445.

Abstract : Background: This study examines the effect of utilizing geoboards as a teaching tool for plane geometry on the academic performance of pre-service teachers at E.P College of Education and St. Francis College of Education. Materials and Methods: Employing a quasi-experimental research design, pretest and posttest scores of level 100 students were collected.
Results: The results indicate that integrating geoboards into plane geometry instruction significantly enhances the performance of pre-service teachers. These findings align with existing literature supporting the efficacy of geoboards in geometry education........

Keywords – Geoboards; Mathematics Education; Geometric Theorems; Pre-service Teachers.

[1]. Abed, A. Z., Sameer, S. A., Kasim, M. A., & Othman, A. T. (2019). Predicting Effect Implementing
The Jigsaw Strategy On The Academic Achievement Of Students In Mathematics Classes.
International Electronic Journal Of Mathematics Education, 15(1), Em0558.
[2]. Akiba, M., & Liang, G. (2016). Effects Of Teacher Professional Learning Activities On Student Achievement Growth. The Journal Of Educational Research, 109(1), 99-110.
[3]. Ampadu, E. (2012). Students' Perceptions Of Their Teachers' Teaching Of Mathematics:
The Case Of Ghana. International Online Journal Of Educational Sciences, 4(2).
[4]. Anamuah-Mensah, J., Mereku, D. K., & Asabere-Ameyaw, A. (2006). The Contexts For Learning And Instruction Influencing Ghanaian JSS 2 Students' Dismal Performance In TIMSS-2003.
African Journal Of Educational Studies In Mathematics And Sciences, 4, 15-31
[5]. Anku, S. (2005-2006). Wake Up Mathematical Association Of Ghana! Retrieved May 10, 2023,
From Http://Www.Mathned.Org.

Abstract : Aim of this paper is to introduce the concept of Interval-valued Neutrosophic Hypersoft Topological spaces. Some notions such as finer, coarser, discrete, indiscrete, neighbourhood, neighbourhood system, basis of an Interval-valued Neutrosophic Hypersoft Topological space are introduced and we have studied some properties with examples. Finally, Interval-valued Neutrosophic Hypersoft interior and closure are studied.

Keywords –Neutrosophic soft topology, Interval-valued neutrosophic soft topology, Hypersoft Topology

[1]. Zadeh L. A. Fuzzy Logic And Approximate Reasoning. Synthese. 1975;Vol.30, No. 3-4: Pp. 407-428.
[2]. Atanassov K. T. Intuitionistic Fuzzy Sets. Fuzzy Sets And Systems. 1986; Vol. 20, No. 1: Pp. 87-96.
[3]. Yager R. R. Pythagorean Fuzzy Subsets. Proceedings Joint IFSA World Congress And NAFIPS Annual Meeting. 2013; PP. 57-61.
[4]. Yager R. R. Pythagorean Membership Grades In Multi-Criteria Decision Making. IEEE Transactions On Fuzzy Systems. 2014; Vol. 22, No. 4: Pp. 958-965.
[5]. Wei G. Pythagorean Fuzzy Interaction Aggregation Operators And Their Application To Multiple Attribute Decision Making. Journal Of Intelligent And Fuzzy Systems. 2017; Vol. 33, No. 4: Pp. 2119-2132

Abstract : This paper has investigated application of single channel M/M/1 queuing model. The data has been collected from a busy restaurant located in Chandigarh. Arrival rate, Service rate and utilization rate were calculated.

[1]. Chinwuko, E.C., Daniel, C.E., Ugochukwu, P.O. And Obiafudo, O.J. (2014) 'Analysis Of A Queuing System In An Organization , A Case Study Of First Bank PLC, Nigeria' American Journal Of Engineering Research (AJER) ,E- ISSN:2320-0847 ,P – ISSN: 2320-0936. Volume 03, Issue 02,Pp 63-72 Www.Ajer.Org
[2]. Molla, A. (2017) 'Case Study For Shuruchi Restaurant Queuing Model' IOSR Journal Of Business And Management (IOSR-JBM) E- ISSN:2278-487X, P- ISSN:2319-7668. Volume 19, Issue 2, Pp 93-98 Www.Iosrjournals.Org
[3]. Devan, A. (2021) 'Queuing Theory' Project Report, Department Of Mathematics, Christ College Www.Christcollegeijk.Edu.In
[4]. Fomundam, S. And Herrmann, W.J. (2007) ' A Survey Of Queuing Theory Applications In Healthcare'
Https://Drum.Lib.Umd.Edu/Handle/1903/7222.

Abstract : In this paper, a design methodology for a ribbon-fin propulsor inspired by electric black ghost knifefish is introduced based on the machine learning concept. In this regard, an artificial multi-layer perceptron neural network (MLPR) is designed and trained based on the available experimental data. Afterward, the proposed MLPR is coupled with an evolutionary optimization technique, i.e. breeder genetic algorithm (BGA), towards an optimum design strategy. The results show the robustness and effectiveness of the introduced approach to design and control of this kind of bio-inspired propulsion systems. The outcome of the study also demonstrates capability of the proposed approach to provide a deeper insight into the design hyperspace, via generalization of the experimental data.

Keywords: Bio-propulsion, Black Ghost Fish, Underwater Robotics, MLPR, BGA, Bionics

[1] A. Taheri, Fluid Dynamics And Bio-Propulsion Of Animal Swimming In Nature: Bionics (Tehran: Arshadan Publication, 2021).
[2] K.N. Lucas, N. Johnson, W.T. Beaulieu, E. Cathcart, G. Tirrell, S.P. Colin, B. J. Gemmell, J. O. Dabiri, And John H. Costello, Bending Rules For Animal Propulsion, Journal Of Nature Communications, 5(3293), 2014, 1-7, Doi: 10.1038/Ncomms4293.
[3] A. Taheri, Lagrangian Coherent Structure Analysis Of Jellyfish Swimming Using Immersed Boundary Fsi Simulations, Journal Of Mechanical And Civil Engineering, 15(1), 2018, 69-74.
[4] J.G. Miles And N.A. Battista, Naut Your Everyday Jellyfish Model: Exploring How Tentacles And Oral Arms Impact Locomotion. Fluids Journal, 4(169), 2019, 1-43.
[5] A.P. Hoover, B.E. Griffth And L.A. Miller, Quantifying Performance In The Medusan Mechanospace With An Actively Swimming Three-Dimensional Jellyfish Model, Journal Of Fluid Mechanics, 813, 2017, 1112-1155