Archive

Abstract:

By applying Parikh-Wilczek’s semi-classical tunneling method we obtain the emission rate of massless uncharged particle at the event horizon of non-accelerating and rotating blackhole with electric and magnetic charges. We consider the spacetime background dynamical and incorporate the self-gravitation effect of the emitted particles when energy conservation and angular momentum conservation are taken into account. We find that the emission rate at the event horizon is equal to the difference of Bekenstein-Hawking entropy before and after emission. We also find the Hawking temperature

Keywords:

uncharged particle,emission rate ,self-gravitation effect ,Bekenstein-Hawking entropy,Hawking temperature ,

Refference:

I. S.W. Hawking; Nature (London)248,30 (1974). Commun. Math. Phys. 43, 199(1975).

II. S. W. Hawking; Phys. Rev. D14,2460(1976); 72,084013(2005).

III. Qing-Quan Jiang, Shuang-Qing Wu, Xu- Cai; “ Hawking radiation as tunneling from Kerr and Kerr-Newman blackholes” . hep-th/0512351.

IV. J. B. Hartle and S. W. Hawking; Phys. Rev. D13, 2188(1976).

V. P. Krause and F. Wilczek; Nucl. Phys. B 433(1995) 403, gr-qc/9406042.

VI. M. K. Parikh and F. Wilczek; Phys. Rev. Lett.85,5042(2000) hep-th/9907001.

VII. M. K. Parikh; Phys. Lett. B 546,189(2002) ; hep-th/0204107.

VIII.M. K. Parikh; hep-th/ 0402166.

IX. M. K. Parikh; Int. J. Mod. Phys. D 13,2351(2004).[ Gen. Rel. Grav. 36, 2419(2004), hep-th/0405160]

X. J. Zhang, Zheng Zhao; Phys. Lett. B 618(2005)14

XI. W.Liu; Chinese Journal of physics, Vol.45, No.1(2007) February.

XII. S. Sarkar, D.Kothawala; gr-qc/07094448

XIII. J. Zhang, Zheng Zhao; gr-qc/0512153.

XIV. Qing-Quan Jiang, Shuang-Qing Wu, Xu- Cai; hep-th/0512351(2006)

XV. R, Kerner, R,B. Mann; hep-th/08032246.

XVI. Xiao-Xiong Zeng, Hang-Song Hou and Shu-Zheng Yang; PRAMANA, Journal of Physics, Vol. 70, No.3, March(2008).

XVII. Ya-Peng Hu, Jing-Yi Zhang, Zheng Zhao; gr-qc/09012680.

XVIII.R. Kerner, R.B. Mann ; gr-qc/0603019.

XIX. U. A. Gillani, M. Rehman and K. Saifullah; hep-th/11020029.

XX. M. Bilal and K.Saifullah; gr-qc/10105575.

XXI. M. Rehman and K. Saifullah; hep-th/10115129.

XXII. Huei-Chan Lin and Chopin Soo; gr-qc/0905-3244.

XXIII. M. Arzano, A. J. M. Medved, Elias C. Vagenas; hep-th/0505266

XXIV. M. Angheben, M. Nadalini , L. vanzo and S. Zerbini; hep-th/0503081.

XXV. Yang-Geng Miao, Zhao Xue and Shao-Jun Zhang; hep-th/10122426.

XXVI. T. Jian, Chan-Bing-Bing; ACTA PHYSICA POLONICA B Vol.40(2009) No.2

XXVII. B.R.Majhi; hep-th/08091508.

XXVIII. K. Matsuno and K. Umetsu; hep-th/11012091.

XXIX. M. H.Ali; gr-qc/ 07063890.

XXX. M. H.Ali; gr-qc/ 07071079

XXXI. W. liu; New coordinates of BTZ Black Hole and Hawking radiation via tunneling.

XXXII.A.J.M. Medved; hep-th/0110289

XXXIII. Shuang-Qing Wu, Qing-Quan Jiang; hep-th/0602033

XXXIV. J. B. Grifiths and J. Podolsky; Class Quantum Grav.22(2005)3467.

XXXV. J. B. Grifiths and J. Podolsky; Phys. Rev. D 73(2006)044018.

XXXVI. J. F. Plebnski and M. Demianski; Am. Phys. NY 98(1970)98

XXXVII. Usman A. Gillani, Mudassar Rehman and K. Saifullah; hep-th/11020029.

XXXVIII. Painleve , P. (1921); Comptes Rendus de l’ Academic des Sciences, Serie I ( Mathematique) 173,677.

XXXIX. L. D. Landau, E. M. Lifshitz, the classical theory of field, Pergaman, London(1975).

XL. H. Zhang, Z Zhao, J. Beijing Normal Univ.(Natural Sci.) 37(2001)471(in Chinese).

XLI. (10)Jingyi Zhang, Zheng Zhao; Phys. Lett. B 618(2005)14-22.

XLII. J. M. Bardeen, B. Carter, S. W. Hawking, Commun. Math. Phys. 31(1973)161.

XLIII. J. Zhang and Zheng Zhao; JHEP 10(2005)055.

XLIV. J. Makela and P. Repo; Phys. Rev.D 57, 1899(1998).

XLV. N. Dadhich and Z. Ya. Turakulov; Class Quantum Grav. 19(2002) 2765

XLVI. Li Hui-Ling, YANG Shu-Zheng and QI De-Jiang; commun. Theor. Phys. (Beijing China) 46(2006) PP.991-994.

XLVII. J. B. Griffiths and J. Podolosky; gr-qc/0507021.

XLVIII. LEI Jie-Hong, LIU Zhi-Xiang and YANG Shu-Zheng; Commun. Theor. Phys. (Beijing, China)49 (2008) pp. 133-136 , Vol.49 No.1January 15,2008.

XLIX. P. Krause and E.Keski Vakkuri; Nucl. Phys. B491(1977)219. R. Parentani Nucl. Phys. B 575(2000) 333.

VECTOR CONE METRIC SPACES AND SOME FIXED POINT THEOREMS

Authors:

Mukti Gangopadhyay, Mantu Saha , A. P. Baisnab

DOI NO:

https://doi.org/10.26782/jmcms.2012.07.00004

Abstract:

In this paper it is shown that a vector cone metric space as introduced by us bears a metric like topology. Cantor’s intersection like Theorem is proved and as an application of the same a useful fixed point Theorem is obtained.

Keywords:

vector cone,metric space, topology,fixed point Theorem,

Refference:

I.Dejan Ilic, Vladimir Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341 (2008), 876-882.

II.Huang Long-Guang, Zhang Xian, Cone metric spaces and fixed point theorem of contractive mappings, J. Math. Anal. Appl. 332 (2007), 1468-1476.

III.M. Abbas, G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl, 341 (2008), 416-420.

IV.P. Velro, Common fixed points in cone metric spaces, Rendieonti del Circolo Mathematico di Palermo, Vol. 56 no. 3 (2007), pp. 464-468.

V.Sh. Rezapour, R. Hamlbarani, Some notes on the paper, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 345 (2008), 719-724.

VI.Sreenivasan, T. K., Some properties of distance functions, Jour. Indian Math. Soc. 11 (1947)

MODULAR AND STRONGLY DISTRIBUTIVE ELEMENTS IN A NEAR LATTICE

Authors:

Md. Zaidur Rahman , A. S. A. Noor

DOI NO:

https://doi.org/10.26782/jmcms.2012.07.00005

Abstract:

n this paper the authors have introduced the notion of modular elements in a nearlattice. We have included several characterizations of modular and strongly distributive elements with examples. We have also proved that an element in a nearlattice is standard if and only if it is both modular and strongly distributive.

Keywords:

modular elements,nearlattice,strongly distributive elements,

Refference:

I.W. H. Cornosh and A. S. A. Noor; Standard elements in a nearlattice, Bull. Austral. Math .Soc. 26(2), (1982); 185-213.

II.G. Gratzer and E.T. Schmidt, Standrad ideals in lattices, Acta. Math. Acad. Sci. Hung. 12(1961); 17-86.

III.A. S. A Noor and A. K. M. S. Islam, Relative annihilators in nearlattices, The Rajshahi University Studies (part-B) 25(1997); 117-120.

IV.M. R. Talukder and A. S. A. Noor, Modular ideals of a join semilattice Directed below, SEA Bull. Math 22(1998); 215-218.

V.M. B. Rahman, A study on distributive nearlattices, Ph.D Thesis, Rajshahi University, Bangladesh, (1994)

OPTIMAL SOLUTION TO BOX PUSHING PROBLEM BY USING BBO – NSGAII

Authors:

Sudeshna Mukharjee , Sudipta Ghosh

DOI NO:

https://doi.org/10.26782/jmcms.2012.07.00006

Abstract:

In this paper we have developed a new technique to determine optimal solution to box pushing problem by two robots . Non-Dominated sorting genetic algorithm and Biogeography-based optimization algorithm are combined to obtain optimal solution. A modified algorithm is developed to obtain better energy and time optimization to the box pushing problem.

Keywords:

box pushing, robots ,Non-Dominated sorting genetic algorithm,Biogeography-based algorithm ,

Refference:

I.J. Chakrabarty, A.Konar,A.nagar,S.das, “Rotation and translation selective Pareto optimal solution to the box-pushing problem by mobile robots using NSGA-II” IEEE CEC 2009

II.Biogeography-Based OptimizationDan Simon, Senior Member, IEEE

3)An analysis of the equilibrium of migration models for biogeography-based optimization,Department of Electrical Engineering, Shaoxing University, Shaoxing, Zhejiang 312000, China

IV.A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II Kalyanmoy Deb, Associate Member, IEEE, Amrit Pratap, Sameer Agarwal, and T. Meyarivan

V.F. C. Lin, and J. Y. -J. Hsu, “Cost-balanced Cooperation protocols in multi-agent robotic systems,” in International Conference on Parallel and Distributed Systems, pp.72, 1996.

VI.T. Langle, and H. worn, “Human-robot cooperation using multi-agent systems,” Journal of Intelligent and Robotic system, vol. 32, pp. 143- 160, 2001.

VII.B. Innocenti, B. Lopez, and J. Salvi, “A multi-agent architecture with cooperative fuzzy control for a mobile robot,” Robotics and

VIII. Autonomous Systems, vol. 55, pp 881-891, 2007.

IX.R. A. Brooks, “A robust layered control system for a mobile robot,” Journal of Robotics and Automation, pp. 14-23, 1986.

X.C. R. Kube, and H. Zhang, “The use of perceptual cues in multi-robot box pushing,” in IEEE International Conference on Robotics and Automation, 1996, vol. 3, pp. 2085-2090.

XI.Y. W. Leung, and Y. P. Wang, “Multiobjective programming using uniform design and Genetic Algorithm,” IEEE Transactions on Systems, Man, and Cybernetics-Part C: Applications and Reviews, 2000, vol. 3, pp. 293-304.

XII.C. M. Fonseca, and P. J. Flaming, “Genetic algorithm for multi-objective optimization: Formulation, discussion, and generalization,” in Proceedings of the 5th International Conference on Genetic Algorithms, 1993, pp. 416-423.

Some Characterizations of The Radical of Gamma Rings

Authors:

Md. Sabur Uddin , Md.Zakaria Hossain

DOI NO:

https://doi.org/10.26782/jmcms.2012.07.00007

Abstract:

In this paper we have developed some properties of nilpotent ideals and radical of Γ-rings. At last we have prove that an external direct sum of finitely many matrix gamma rings over division gamma rings is a semi-simple Γn-ring.

Keywords:

gamma rings,nilpotent ideals,radical of gamma rings ,

Refference:

I. S. A. Amitsur,“A general theory of radicals I” Amer . J. Math. 74(1952), 774 – 776.

II. W. E. Barnes , “On the gamma rings of Nobusawa”, Pacific J. Math. 18 (1966), 411 – 422.

III. G. L. Booth, “Radicals of matrix gamma rings”, Math. Japonica 33, No. 3, 325 – 334, (1988).

IV. W. E. Coppage and J. Luh, “Radicals of gamma rings”, J. Math. Soc. Japan, Vol. 23, No. 1 (1971), 40 – 52.

V. N. J. Divinsky, “Rings and radicals”, George Allen and Unwin, London, 1965.

VI. A. Kurosh, “Radicals of rings and algebra”, Math. Sb.33,13 – 26, (1953).

VII. N. Nobusawa, “On a generalization of the ring theory” Osaka J.Math.1 (1964), 81 – 89.

8) Hiram Paley and Paul M. Weichsel :“A First Course in Abstract Algebra”, Holt, Rinehart and Winston, Inc., 1966.

On Pairwise Almost Normality

Authors:

Ajoy Mukharjee , Madhusudhan Paul

DOI NO:

https://doi.org/10.26782/jmcms.2012.07.00008

Abstract:

In this paper, we introduce the notion of pairwise almost normality which is a generalization of almost normality.

Keywords:

bitopological space, pairwise normal,pairwise almost normal,

Refference:

I. M. K. Bose, A. Roy Choudhury and A. Mukharjee, On bitopological paracompactness, Mat.Vesnik 60 (2008), 255-259.

II. M. K. Bose and Ajoy Mukharjee, On bitopological full normality, Mat. Vesnik 60 (2008), 11-18.

III. M. C. Datta, Paracompactness in bitopological spaces and an application to quasi-metric spaces, Indian J. Pure Appl. Math. (6) 8 (1977), 685-690.

IV. P. Fletcher, H. B. Hoyle III and C. W. Patty, The comparison of topologies, Duke Math. J. 36 (1969), 325-331.

V. J. C. Kelly, Bitopological spaces, J. Lond. Math. Soc. (3) 13 (1963), 71-89.

VI.M. K. Singal and Asha Rani Singal, Some more separation axioms in bitopological spaces, Ann. Soc. Sci. Brux., 84 (1970), 207-230.

Buckling of (2n+1) Layers Plywood Shell Under Two Way Compressions

Authors:

Anukul De , Doyal Debnath

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00001

Abstract:

The object of this paper is to obtain all the stress resultants of an anisotropic (2n+1) layers plywood shell. The deferential equations of equilibrium of (2n+1) layers plywood shell under three simultaneous loads are obtained. The solution of the deferential equations for anisotropic (2n+1) layers plywood shell in case of two way compressions is obtained here. The stable region for a plywood shell in this case is obtained. Buckling diagram for five layers plywood shell and seven layers plywood shell are shown graphically as special cases.

Keywords:

an anisotropic layers,plywood shell, two way compressions,buckling diagram,

Refference:

I. Cheng, S. and Ho, B.P.C. (1963): ‘Some problems in stability of heterogeneous aeolotropic cylindrical shells under combined loading’ AIAA Journal, vol. 1, no. 7, pp. 1603-1607.

II. Cheng, S., and Kuenzi, E. W. (1963):‘Buckling of an Orthotropic or Plywood Cylindrical Shell under External Radial Pressure’, Proceedings of the 5th International Symposium on Space Technology and Science, Tokyo, pp 527.

III. De, A. (1983):‘Buckling of anisotropic ѕhеllѕ I ’, Application of Mathematics, vol. 28, no. 2, pp. 120-128.

IV. De, A. and Chaudhury, M. (2008):‘Buckling of double walled cylindrical shells with out shear load’, Bulletin of Calcutta Mathematical Society, vol. 100, no.5, and pp 515-528.

V. Flügge, W., (1973): Stresses in Shells, second edition, Springer-Verlag, New York.

VI. Hess, T. E. (1961):‘Stability of orthotropic cylindrical shells under combined loading’, ARS Journal, vol. 31, pp. 237-246.

VII. Lei, M. M. and Cheng, S. (1969):‘Buckling of composite and homogeneous isotropic cylindrical shells under axial and radial loading’, Journal of Applied Mechanics, vol. 8, pp..791-798.

VIII. Love, A. E. H. (1944): A Treatise on the Mathematical Theory of Elasticity, Dover publications, New York.

IX. Singer, J. and Fersh-Scher, R. (1964):‘Buckling of orthotropic conical shells under external pressure’, Aeronautical Quarterly, vol. XV, pp. 151-168.

X. Singer, J.(1962): ‘Buckling of orthotropic and stiffened conical shells’, Collесtеd papers on instability of shell ѕtruсturеѕ’. N. A. S. A. T. N. D-1510, pp. 463.

XI. Tasi, J. (1966):‘Effect of heterogeneity on the stability of composite cylindrical shells under axial compression’, AIAA Journal, vol. 4, pp. 1058-1062.

XII. Tasi, J., Feldman, A. and Stang, D. A. (1965):‘The buckling strength of filament-wound cylinders under axial compression’ CR-266, NASA.

XIII. Thieleman, W., Schnell, W. and Fischer, G. (1960):‘Buckling and post-buckling behaviour of orthotropic circular cylindrical shells subject to combined axial and internal pressure’, Zeitschrift Flugwiss, vol. 8, pp 284.

XIV. Timoshenko, S. and Woinowsky Krieger, S. (1983):‘Theory of plates and shells’ 4th Edition, McGraw-Hill International Book Company, New York.

Some Characterizations of n-Distributive Lattices

Authors:

M. Ayub Ali , R. M. HafiZur Rahaman, A. S. A. Noor , Jahanara Begum

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00002

admin May 16, 2015

Abstract:

In this paper, we have included several characterizations of n-distributive lattices. Also we have generalized the prime Separation Theorem for an n-annihilator nJI⊥= (where J is a non-empty finite subset of L) and characterized the n-distributive lattices.

Keywords:

distributive lattices ,annihilator, prime Separation Theorem,

Refference:

I.Balasubramani P. and Venkatanarasimhan P. V., Characterizations of the 0- Distributive Lattices, Indian J. pure appl. Math. 32(3) 315-324, (2001).

II.Latif M . A. and Noor A. S. A., A generalization of Stone’s representation theorem . The Rajshahi University studies. (part B) 31(2003) 83-87.

III.Noor A. S. A. and Latif M. A., Finitely generated n-ideals of a lattice, SEA Bull .Math. 22(1998)72-79.

IV.Noor A. S. A. and Hafizur Rahman M., On largest congruence containing a convex sublattice as a class, The Rajshahi University studies. (part B) 26(1998)89-93.

V.Ayub Ali M., Noor A. S. A. and Podder S. R. n-distributive lattices, Submitted, Journal of Physical Sciences, Bidyasagar University, West Bengal, India.

VI. Powar Y.S.and Thakare N. K., 0-Distributive semilattices, Canad. Math. Bull. Vol.21(4) (1978), 469-475. 7) Varlet J. C., A generalization of the notion of pseudo-complementedness, Bull. Soc. Sci. Liege, 37(1968), 149-158.

Forecasting Production of Food grain Using ARIMA Model and Its Requirement in Bangladesh

Authors:

Lasker Ershad Ali, Masudul Islam, Md. Rashed Kabir , Faruque Ahmed

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00003

admin May 16, 2015

Abstract:

We forecast the food grain requirement and its production in Bangladesh. Before forecasting, we examine different methods and find time series model i.e. ARIMA model in different order predict accurate values. Then we used autoregressive integrated moving average (ARIMA) models to forecast the future amount of food grain in different years in this study. For the accuracy checking, we take the difference between the actual amount of food grain in a specific year and the predicted or the forecasting amount of the food grain in that year.

Keywords:

forecast,food grain ,production,ARIMA model,

Refference:

I.Assis, K., Amran, A., Remali, Y. and Affendy, H. (2010). A comparison of univariate time series methods for forecasting cocoa bean prices. Trends Agric. Econ., 3, 207–215.

II.Brokwell, P. J. & Davis, R. A. (1997). Introduction to Time Series and Forecasting, Springer, New York.

III.Cooray, T.M.J.A.(2006). Statistical analysis and forecasting of main agriculture output of Sri Lanka: rule-based approach. Appeared In10th International Symposium, 221, 1–9. Sabaragamuwa University of Sri Lanka.

IV.Clements, M. and Hendry, D. (1998). Forecasting economic time series, United University Press, Cambridge.

V.Gourieroux, C. and Monfort, A.(1997).Time Series and dynamic Models, Cambridge University Press, England.

VI.Gujarati, D. N.(2004). Basic Econometrics, 4th ed., McGraw Hill, New York.

VII.Hossain, M.Z., Samad, Q.A. & Ali, M.Z. (2006). ARIMA model and forecasting with three types of pulse prices in Bangladesh: A case study. International Journal of Social Economies. 33, 344–353.

VIII.Jonathan, D. C. & Kung-Sik, C.() Time Series Analysis with Application in R , 2nd ed., Spring Steet, New York.

IX.Saeed N., Saeed A., Zakria M. & Bajwa, T. M. (2000).Forecasting of Wheat Production in Pakistan using Arima Models, International Journal of Agriculture & Biology, 1560–8530, 02,4,352–353.

X.Makridakis, S.(2003). Forecasting Method and Application, 3rd ed., John Wiley and Sons, New York.

XI.Montgomery, D. C.(1990). Forecasting and Time Series Analysis”, 2nd ed., McGRAW-Hill, Inc, New York.

XII.Nochai, R. & Nochai, T. (2006). ARIMA Model for Forecasting Oil Palm Price: 2nd IMT-GT Regional Conference on Mathematics, Statistic and Applications. University Sains Malaysia, Penang, June 13-15.

XIII.Prindyck, R. S. & Rubinfeld, D. L. (1981). Economic Models and Economic Forecasts, 3rd ed., McGrsw-Hill, Inc, New York.

XIV.Shukla, M. & S. Jharkharia.(2011). Applicability of ARIMA models in wholesale vegetable market: An investigation. Proceedings of the 2011International Conference on Industrial Engineering and OperationsManagement. Kuala Lumpur, Malaysia, January 22-24.

XV.Wankhade, R., Mahalle, S., Gajbhiye, S. & Bodade, V.M. ( 2010). Use of the ARIMA model for forecasting pigeon pea production in India. International Review Of Business Finance, 2, 97–102.

XVI.Thorne, B. & Carlson W. (2007). Statistics for Business and Economics, 6th ed., Arrangement with Pearson Education, Inc. and Dorling Kindersley publishing, Inc., New Delhi.

Distributive Join – Semi Lattice

Authors:

Shiuly Akhter , A.S.A. Noor

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00004

admin May 16, 2015

Abstract:

In this paper, we have studied some properties of ideals and filters of a join-semilattice. We have also introduced the notion of dual annihilator. We have discussed 1-distributive join-semilattice and given several characterizations of 1-distributive join-semilattices directed below. Finally we have included a generalization of prime separation theorem in terms of dual annihilators.

Keywords:

ideals,join-semilattice,1-distributive lattice ,dual annihilator,

Refference:

I. Balasubramani, P. and Venkatanarasimhan, P. V., Characterizations of the 0-Distributive Lattice, Indian J. pure appl. Math. 32(3) 315-324, (2001).

II. Gratzer, G., Lattice Theory, First Concepts and Distributive Lattices, San Francisco W.H. Freeman, (1971).

III. Noor, A. S. A. and Talukder, M. R., Isomorphism theorem for standard ideals of a join semilattice directed below, Southeast Asian. Bull. Of Math. 32, 489-495 (2008).

IV. Pawar, Y.S.andThakare, N. K., 0-Distributive Semilattices, Canad. Math. Bull. Vol. 21(4), 469-475 (1978).

V. Talukder, M. R.andNoor,A. S. A., Standard ideals of a joinsemilatticedirected below. Southeast AsianBull. Of Math.22, 135-139 (1997).

VI. Talukder, M. R and Noor, A. S. A.,Modular ideals of a join semilattice directed below Southeast Asian Bull.of Math. 23, 18-37 (1998).

VII. Varlet, J. C., Distributive semilattices and Boolean Lattices, Bull. Soc. Roy. Liege, 41, 5-10 (1972).