iosr-Jm   Volume-16 ~ Issue-3 ~ may – june 2020

Abstract: Washing machines are parts of almost every house now, as they provide individuals with a fast and successful way to clean up clothes. However, they lack the automaticity which would save loads of time when thought of how much time is spent on determining the appropriate program. Standard washing machines also lack the number of choices in terms of temperature, washing cycle, etc. since such detailed input cannot be easily determined by non-professional washing machine users.This paper aims to suggest a washing machine algorithm that even non-professional washing machine users can use without trouble, which provides the optimal program according to the specified cloth types.......

Key Word: Color, Delicacy, Fuzzy Logic, Fuzzy Operator, Revolution per Minute,Stain Level, Temperature, Washing Machine Algorithm....

[1]. Ahmed T., Toki A., (2016) A Review on Washing Machine Using Fuzzy Logic Controller, International Journal of Emerging Trends in Engineering Research 4, 64-67.
[2]. Bede B., (2013) Mathematics of Fuzzy Sets and Fuzzy Logic, Springer Science+Business Media, Heidelberg, Germany.
[3]. Hatagar S., HalaseS., (2015) Simulating Matlab Rules in Fuzzy Controller Based Washing Machine, International Journal of Emerging Trends in Science and Technology 2, 2796-2802.
[4]. Honisch M., Stamminger M., et Al. (2014) Impact of Wash Cycle Time, Temperature and Detergent Formulation on the Hygiene Effectiveness of Domestic Laundering, Journal of Applied Microbiology 117, 1787-1797.
[5]. Wulandari N., Abdullah A., (2017) Design and Simulation of Washing Machine using Fuzzy Logic Controller(FLC), International Symposium on Materials and Electrical Engineering (ISMEE) 2018, 012044, 16 November 2017, Bandung, Indonesia.

Abstract: In this paper, we construct the module of derivations of a perm algebra, and we dene the space of differential n-forms. Studying abelian extensions, we get the cohomology of perm algebras as a symmetric Hochschild cohomology. Finally, we relate these constructions with a notion of smoothness in a nonunitary context.

Keywords: perm algebra, derivation, differential form, Hochschild cohomology, smoothness

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Abstract: This study is set out to investigate into the performance of learners in mathematics, specifically addition and subtraction of integers at Happy Home School at Abuakwa in the Ashanti region of Ghana. The purpose of this study is to find out the factors affecting learners' mathematics, particularly addition and subtraction of integers and how to use rectangular cut out number line to help solve the problem. Purposive sampling technique was used for data collection. Observation, interview and test were the research instruments used for the study. The study revealed that pupils' performance improved drastically after the implementation of the intervention (rectangular cut out number line). The study recommends that teachers or facilitators should use teaching and learning materials in their delivery to......

Keywords: Intervention, teaching and learning materials, in-service training, improvise, Ghana Education Service (GES).

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Abstract: One important use of linear programming is in the area of physical distribution of goods materials and resources, from one place to another to meet a particular target or demand. The transportation algorithm which is movement of goods from one point to another destination is applied to minimize the total cost of passengers' transportation from one place to another within the country Nigeria. Here, there are situations where it is not possible to use certain routes in a transportation problem due to certain operational problems. Therefore,passenger's transportation problem using prohibited rout approach of thirty three reputable transits companies in Port Harcourt was modelled. These companies have routes all over the six geopolitical zones in Nigeria; Entraco, Akwa Ibom Transport Company Limited (AKTC), Young Shall Grow Transport Limited (YSG), Agofure, ABC Transport PLC (ABC), Peace Mass Transit.....

Keywords: Linear programming, Passengers, Prohibited route, Transportation, Modelling, Minimization

[1]. Amir, S., H.Z. Aashtiani and K.A. Mohammadian ( 2009). A Short-term Management strategy for Improving transit network efficiency.Am. J. Applied Sci., 6: 241-246.
[2]. Hitchock, F.L (1941): The distribution of products from several sources to numerous locations. J. Maths; Phy; vol 20, pp 224 – 230.
[3]. Orumie, Ukamaka Cynthia(2016) : Passengers Transportation Model in Nigeria .
[4]. International Journal of Science and Research Volume 5 Issue 10, www.ijsr.net
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Abstract: In deriving a fifth order Runge-Kutta method, seventeen equations have to be satisfied. We made use of the row and column simplifying assumptions, together with the row-sum condition, to eliminate some of the occurring equations, thereby reducing the number of equations to be satisfied. The resulting method was implemented on some selected initial value problems and compare results with those of other method in the literature. The trajectory of the different errors associated with the results were investigated and drawn through the use of MATLAB package.

Keywords: Implicit method, Simplifying Assumptions, Stiff problem, Diagonally-implicit method.

[1]. Ababneh O. Y., Ahmad R. and Ismail E. S. (2009). Design of New Diagonally Implicit Runge-Kutta Methods for Stiff Problems, Applied Mathematical Sciences, Vol. 3, No. 45, 2241-2253.
[2]. Agam S.A. and Yahaya Y.A (2014). A highly Implicit Runge-Kutta Method for first order Ordinary differential equation. African journal of mathematics and Computer Science Research. Vol. 7,Issue 5, pp 55-60.
[3]. Agbeboh, G. U. (2013). On the Stability analysis of a Geometric Fourth order Runge-Kutta method." Mathematical Theory and Modeling., Vol 3. No. 4. (online).
[4]. Agbeboh G.U.,Aashikpelokhai U.S.U. and Aigbedion I. (2007). Implementation of a new 4th order Runge-Kutta formula for solving initial value problems. International Journal of Physical Sciences. Vol 2, Issue 4, pp 088-098.
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Inter. Science Publications Britain.

Abstract: Quite manyresearchers find understanding p-values and confidence interval (CI) difficult which are essential for the evaluation of results of any study. A test of the hypothesis does not indicate what the difference is or how large it is. Simple statements in a study report such as 'p < 0.05' or 'p =Not Significant(NS)' do not explicitly describe the results of a study. Complementing the hypothesis test with a CI will indicate the magnitude of results and help researchers to decide whether the difference is of interest clinically. This study provides useful information for the interpretation of these statistical concepts to avoid misleading results. The use of these two statistical concepts and the differences between them are discussedbased on a comprehensive and selective literature search on the methods in scientific studies. While thep-values are used to determine whether a null hypothesis is....

Keywords: Confidence interval; P-value; Clinical importance; Preference, Significance

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Abstract: The spread of coronavirus disease 2019 which emerged from Wuhan, China is still on the increase across the globe even though some regions are gradually recovering from the vast impact of the disease. As at 10:41am CEST, 5th June, 2020, there have been a total of 6,515,796 confirmed cases of COVID-19 globally with 387,298 deaths. Mathematical modellinghave played great roles in studying the dynamics of diseases. Consequently, this paper derives an SEIRM time delay mathematical model with awareness for the spread of COVID-19. The model is analysed for various steady states and their stabilities and the basic reproduction number determined for the spread of the disease. Furthermore, with delay in awareness considered as Hopf parameter, we investigated the endemic steady state for Hopf bifurcation using differential-delay method. The outcome of the analyses show that with the basic reproduction....

Keywords: Epidemic model; COVID-19; Delay; Awareness; Hopf bifurcation.

[1]. Choi, S. and Moran, K., Estimating the reproductive number and the outbreak size of COVID-19 in Korea, Epidemiol Health 2020, 42: e2020011, 2020, https://doi.org/10.4178/epih.e2020011.
[2]. Kuniya, T., Prediction of the Epidemic Peak of Coronavirus Disease in Japan, 2020, J. Clin. Med. 2020, 9, 789, doi:10.3390/jcm9030789.
[3]. Tian, J., Wu, J., Bao, Y., Weng, X., Shi, L., Liu, B., Yu, X., Qi, L. and Liu, Z., Modeling analysis of COVID-19 based on morbidity data in Anhui, China, Mathematical Biosciences and Engineering, 2020, 17(4): 2842-2852. DOI: 10.3934/ mbe.2020158.
[4]. Wang, W., Chen, Y., Wang, Q. Cai, P., He, Y., Hu, S., Wu, Y, Huang, Z. and Wang, W., Transmission dynamics of SARS-COV-2 in China: impact of public health Interventions, medRxiv preprint, doi: https://doi.org/10.1101/2020.03.24.20036285.
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Abstract: The purpose of this article is to present some fascinating observations on Harshad numbers and amicable pairs with examples. A Harshad number (or Niven Number) is an integer that is divisible by the sum of its digits. The Ramanujan number 1729 is a Harshad number. Two numbers are amicable (or friendly) if each number is equal to the sum of the proper divisors of the other. Proper divisors of a number are divisors excluding the number itself. Then, the pair of these two numbers is called amicable pair. Harshad amicable pairs, happy amicable pairs, quasi-amicable pairs and some other types of amicable pairs were also mentioned in this article with examples......

Keywords: Harshad numbers, Amicable pairs, Ramanujan number 1729

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