iosr-Jm   Volume-13 ~ Issue-6 ~ Nov-Dec 2017

Abstract: The higher order Steiner system is very complex in nature. Various methodologies can be used to construct and enumerate the STS for order of 25. The various combinatory theory and design theory can be used for the enumeration of the desired STS. Here, in this paper, we have presented a detailed method of the enumeration, methodology and construction of the STS systems. Detailed numerical analysis has been done for the enumeration of the STS of order 25. The algorithm discussed will here generate the total possible STS combinations. Finally, construction methodology has also been presented. Graphical construction has been discussed with the reference to the kirkman systems. The properties of the STS system equations have been discussed. The various theorems have been represented using the order 9 subsystems. Results have shown the steps of the enumeration and combinations of various pairs showing the properties of STS of the order 25.

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Abstract: This paper extends the recently introduced summability concept of convergence namely; arithmetic statistical convergence and lacunary arithmeticstatisticalconvergence, to double sequences. We shall also investigate the relationship between these concepts and prove some inclusion theorems.

Keywords and Phrases: Summability, Arithmetic statistical convergence, lacunary arithmetic statistical convergence and double sequences.

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Abstract: In this paper, we have studied Anisotropic Bianchi type-V two fluid cosmological model i.e. with the matter and radiating source in presence of magnetic flux. In this model one of the fluid represents the matter contents of the universe and another fluid is the cosmic microwave background (CMB) radiation. The magnetic field is due to an electric current produced along x-axis, 𝐹23 is the only non-vanishing component of electromagnetic field tensor 𝐹𝑖𝑗. Here we discuss the physical properties of model and behavior of kinematical parameters like expansion, shear are discussed in details with some special cases.

Keywords: Bianchi Type-V space-time, Cosmic microwave background (CMB) radiation, Electromagnetic field.

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Abstract: This study aims to: 1) Develop learning devices based on realistic approach integrated Malay Deli cultural context that meets valid, practical, and effective criteria; 2) Describe the enhancement of ability of understand mathematical concepts using the developed PR-TKBMD-based learning devices; and 3) Describe the improvement of students' self-regulated learning using the developed PR-TKBMD-based learning devices. This research is a development research using 4-D model done in two stages, namely: 1) developing the device, and 2) testing the device. The subject of this research is the students of class VII of SMP Negeri 5 Medan. The object of this study is the learning devices based on PR-TKBMD developed, the ability of understand..............

Keywords: development of learning devices, 4-D model, PR-TKBMD, ability of understand mathematical concept, student's self regulated learning.

[1]. Somakim. (2010). Peningkatan Kemampuan Berpikir Kritis dan Self-Efficacy Matematika Siswa Sekolah Menengah Pertama Dengan Penggunaan Pendekatan Matematika Realistik. Disertasi SPs UPI Bandung : Tidak Diterbitkan.
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[5]. Afrilianto, M. (2012). Peningkatan Pemahaman Konsep dan Kompetensi Strategis Matematis Siswa SMP dengan Pendekatan Metaphorical Thinking. Jurnal Ilmiah Prodi Matematika STKIP Siliwangi Bandung, (Online), Vol.1 No.2, (e-journal.stkipsiliwangi.ac.id/index.php/infinity/article/view/19/18, diakses pada 1 Oktober 2015).
[6]. Fahradina, N, dkk. (2014). Peningkatan Kemampuan Komunikasi Matematis dan Kemandirian Belajar Siswa SMP dengan Menggunakan Model Investigasi Kelompok. Jurnal Didaktik Matematika.Vol. 1(1), September 2014:55.

Abstract: In this paper the problem of Sequence the jobs on identical parallel machine with distinct due date has been studied, so that the total penalty cost to be minimized. This cost is composed of the total earliness and the total tardiness costs. We develop a new model system of neural networks base on unit's vector for inputs and output to solve our problems. For training purpose we use Mat Lap Software neural networks. After training the new model can solve similar problems. The performance of the new model system has been measured on numerical examples which taken from literature reviews. The results are very encouraging for further investigation.

Keywords: Identical parallel machine, distinct due date, Earliness and Tardiness

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[2] B. Sanugi , A.Hamad and Salleh . (2001)" ANeural Network for distinct due date job scheduling problem on parallel identical machines ". Proc . Malaysia Science and Technology Congress 8-10:Melaka, Malaysia
[3] Gupta , J,N,D, Ruiz Torres , A, T and Webster (2003)" minimizing tardiness and number of tardy jobs on identical parallel machine". Journal of the Operations Research Society 54, 1263-1274
[4] Sunita and Singh ,T,(2010a)" Bi- objective in fuzzy scheduling on parallel machines ".Journal of mathematics and informatics 2,149-152
[5] Kewel Krishan (2015)" fuzzy bi – criteria scheduling on parallel machines involving weighted flow time and maximum tardiness ".Nailwal et al cogent mathematics 2,1019792.

Abstract: In this paper, we consider a mathematical model which describes the piezoelectricity between an elastic body and ceramics. The process is assumed to be dynamic. We present a piezoelectricity concept and the governed equations. An efficient numerical method is presented to analyze this piezoelectric effect. This approach exploits some special finite element. This is exploited to study the contact and the piezoelectricity between the rotor and the stator inside an ultrasonic motor SHINSEI USR60 adding the piezoelectric ceramic. Numerical results are presented and show the efficiency of the adopted approach.

Keywords: finites elements, modulization, piezoelectricity, Shinsei USR60 actuator, simulation.

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Abstract: In this paper, a new bivariate exponentiated Pareto distribution is introduced. The proposed bivariate distribution is constructed based on Gaussian copula with exponentiated Pareto distribution as marginals. Several properties of the proposed bivariate distribution can be obtained using the Gaussian copula property. Moreover, different methods of estimation are considered to estimate the unknown parameters of proposed bivariate distribution and their performances are compered through numerical simulations.

Keywords: exponentiated Pareto distribution; copula; Gaussian copula; M mixture representation; maximum likelihood estimators; Bayesian estimator

[1] Achcar, J. A., Moala, F. A., Tarumoto, M. H., & Coladello, L. F. (2015). A BIVARIATE GENERALIZED EXPONENTIAL DISTRIBUTION DERIVED FROM COPULA FUNCTIONS IN THE PRESENCE OF CENSORED DATA AND COVARIATES. Pesquisa Operacional, 35(1), 165-186.
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Abstract: Review works Laminar flow and Turbulent flow in pipes. Some discuses and measuring velocity profile using mat lab

.Keywords: Laminar flow, Turbulent flow, velocity profile

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Abstract: Many decisions Tree include multiple stages of decisions and occasions, and these decisions can be spoken to graphically as decision trees. Ideal decision strategies for decision trees are ordinarily dictated by a retrogressive acceptance examination that requests adherence to three fundamental consistency standards: dynamic, consequential, and strategic. Past research found that decision makers tend to show infringement of dynamic and vital consistency at rates essentially higher than decision irregularity crosswise over different levels of potential reward. The current research expands these discoveries under new conditions; particularly, it investigates the degree to which these standards...........

Keywords: Decision Tree, Solving Multi Stage Decision, Problem, decision maker, decision process.

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Abstract: ICommunication, in general, can be interpreted as a way to convey a message from the messenger to the recipient of the message to tell, opinion, or behavior either directly orally, or indirectly through the media. In the communication must be considered how to make a message that someone can be understood by others. To develop the ability to communicate, people can convey with different languages including mathematical language. While the ability of mathematical communication can be interpreted as a student's ability in conveying something he knows through the events of dialogue or interrelationships that occur in the classroom environment, where there is a transfer of messages. The transferred message contains the mathematics material that the student is learning, for........

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