iosr-Jm   Volume-17 ~ Issue-1 ~ Jan. – Feb. 2021

Abstract: With the development of society, college students travel more and more commonly. In the travel process, the choice of transportation tool is an important step. In this paper, analytic hierarchy process (AHP) is used to solve the problem of vehicle selection for college students, which provide a method for the choice of transportation..

Keywords: AHP; traffic choice; college students' tourism

[1]. Guo Jinyu, Zhang Zhongbin, Sun Qingyun, Study and applications of analytic hierarchy process, China Safety Science Journal, 2008,
18(5):148-153.
[2]. Gao Yang, Mu Deyi, AHP method in assessment of airline safety, China Safety Science Journal, 2000, 10(3):38-41.
[3]. Liang Yaxi, Xie Dong, An application of analytic Hierarchy process in pubic adm in istrative decision, Journal of Chongqing
University of Arts and Sciences(Natural Science Edition), 2007, 26(5):52-55.
[4]. Zhang Zhiyuan, Fire risk assessment of school based on AHP, Fire Science, 2011, 4(25): 71-75.
[5]. WU Chun-mei, DAI Hui -biao, Analytic Hierarchy Process in application to the choice of means of transportation, Journal of Taishan
University, 2007, 29(3):23-26.

Abstract: Latin Hypercube Designs (LHDs) almost always show poor space-filling properties. On the other hand, maximin distance designs have very well space-filling properties but often show poor projection
properties under the Euclidean or the Rectangular distance. It is shown that the Iterated Local search(ILS) approach not only able to obtain good LHDs in the sense of space-filling property but the correlations among
the factors are acceptable i.e. multi-collinearity is not high. When number of factors or number of design points is large then it requires hundreds of hours by the brute-force approach to find out the optimal design. So when
numbers of factors as well.......

Keywords: Iterated Local search, Latin Hypercube design, multi-collinearity, optimal criterion

[1]. Audze P., and V. Eglais, 1997, "New approach to planning out of experiments, problems of dynamics and strength", Vol. 35, pp. 104-107.
[2]. Fang, K. T., D. K. J. Lin, P. Winkler, and Y. Zhang (2000b), "Uniform design: theory and application", Technometrics, Vol. 42, pp. 237–248.
[3]. Fang K. T., R. Li, and A. Sudjianto, 2006, "Design and Modeling for Computer Experiments", CRC Press, New York.
[4]. Grosso A., Jamali A. R. M. J. U. and Locatelli M., 2008, " Iterated Local Search Approaches to Maximin Latin Hypercube Designs", Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering, Springer Netherlands, pp. 52-56.
[5]. Grosso A., Jamali A. R. J. U. and Locatelli M., 2009, " Finding Maximin Latin Hypercube Designs by Iterated Local Search Heuristics", European Journal of Operations Research, Elsevier, Vol. 197, pp. 541-547.

Abstract: The study is aimed at introducing a new double sequence space,......

Keywords:Double sequences, matrix transformations and paranormed spaces MSC, 2010: 40XX 40C05

[1]. Altay, B, Basar, F and Malkowsky, E., (2009), "Matrix transformation on some sequence spaces related to strong Cesarosummability and boundedness", Applied Mathematics and Computation, .211, 255 – 264.
[2]. Basar, F.,(2012), "Summability, theory and its applications", Benthen Science Publications.
[3]. Bilgin, T.,(1996),"Dual spaces of certain sequence spaces" Y.Y.U Journ. of Faculty of Education 1,2 ,81-88
[4]. Bilgin, T., (1998),"Matrix Transformations in the sequence spaces ", AnaleleUniversitatii din Timisoara. 36, 3-12.
[5]. Buck, R. C., (1943), "Characterized convergent sequences", Canad. J. Math. 18, 23 – 30.

Abstract: We are introducing a new strong complete permutation polynomial with AGW criterion. These polynomials, as well as other similar polynomials, are being applied in cryptography, theory of codes, combinatorial design, and especially for Knut Vik design and solution of the n queens problem. For the construction of such polynomials, we have used the existing complete permutation polynomial and we have added additional conditions so that we have received strong complete permutation polynomial.

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Abstract: This work................

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Abstract: In this paper we describe some properties of frame in n-inner product spaces. Characterizations between K-frames and quotient operators in n-inner product space are given.

Key Word: Frame, K-frame, quotient operator, n-inner product space, n-normed space

[1]. O. Christensen, An introduction to frames and Riesz bases, Birkhauser (2008).
[2]. P. Casazza, G. Kutyniok, Frames of subspaces, Contemporary Math, AMS 345 (2004 ) 87-114.
[3]. I. Daubechies, A. Grossmann, Y. Mayer, Painless nonorthogonal expansions, Journal of Mathematical Physics 27 (5) ( 1986 ) 1271-1283.
[4]. C. Diminnie, S. Gahler, A. White, 2-inner product spaces, Demonstratio Math. 6 (1973) 525-536.
[5]. R. J. Du_n, A. C. Schae_er, A class of nonharmonic Fourier series, Trans. Amer. Math. Soc ., 72, ( 1952 ), 341-366..

Abstract: The paper tries to reveal or unveil some ancient culture that have a bad influence on the quality of methods used in teaching mathematics. Some important of discovering and uncovering content which should take precedence over covering and uncovering contents in mathematics are discussed. These include a critical thinking/creative aplomb, discovering and uncovering the content while making judgment for understanding, Textbooks are resources; not curriculum, Understanding as the main point, the three stages of lesson plan and methods used in teaching mathematics. Recommendations for discovering and uncovering contents which should take precedence over covering and recovering content in mathematics are made...

Keywords: mathematics, teaching, methods.

[1]. Agarwal, S. M. (1992). A course in teaching of modern mathematics. New Delhi, India: Dhanpat Rai & Sons.
[2]. Ashton, M. R. (1962). Statistical methods (2nd ed.). New Delhi: Sterling Publishers Pvt. Ltd.
[3]. Brigham, F., & Matkins, J. J. (1999). A synthesis of empirically supported best practices for science students with learning disabilities. In P. Rubba, J. Rye, & P. Keig (Eds.), Proceedings of the 1999 annual international conference of the association for the education of teachers in science (pp. 979-1005). Columbus, USA: ERIC Clearing House for Science, Mathematics and Environmental Education.
[4]. Brooks, M.G, & Brooks, J.G. (1999). The courage to be constructivist. Education leadership, 57 (3), 18-24.
[5]. Bruner, J. (1960). The process of education. Cambridge, MA.: Harvard University Press..

Abstract: In this paper,exponentiatedGumbeldistribution is considered for Bayesian analysis. The expressions for Bayes estimators of the parameter have been derived under squared error, precautionary, entropy, K-loss, and Al-
Bayyati's loss functions by using quasi andgamma priors..

Keywords: Bayesian method,exponentiatedGumbeldistribution, quasi and gamma priors, squared error, precautionary, entropy, K-loss, and Al-Bayyati'sloss functions

[1]. Okorie, I.E., Akpanta, A.C. and Ohakwe, J., (2016): "The exponentiated Gumbel type-2 distribution: Properties and Application". International Journal of Mathematics and Mathematical Sciences, Vol. 2016, Article ID 5898356, 10 pages. Hindawi Publishing Corporation.
[2]. Zellner, A., (1986):"Bayesian estimation and prediction using asymmetric loss functions". Jour. Amer. Stat. Assoc., 91, 446-451.
[3]. Basu, A. P. and Ebrahimi, N., (1991):"Bayesian approach to life testing and reliability estimation using asymmetric loss function". Jour. Stat. Plann. Infer., 29, 21-31.
[4]. Norstrom, J. G., (1996):"The use of precautionary loss functions in Risk Analysis". IEEE Trans. Reliab., 45(3), 400-403.
[5]. Calabria, R., and Pulcini, G. (1994): "Point estimation under asymmetric loss functions for left truncated exponential samples". Comm. Statist. Theory & Methods, 25 (3), 585-600..