iosr-Jm   Volume-21 ~ Issue-4 ~ Jul. – Aug. 2025

Abstract : Human beings are curious to explore new and new events in course of time flittering. Necessity is the mother of invention- the proverb illustrates gradual needs and progressive development. Each and every invention changed the level of Society yielded the new opportunities to adopt and run for a period. The adaptation of a new technology shifted the social heritage, much of the interest in culture and Mathematics focused on understanding the nature of primitive mentality. The development of number system enabled the people to remember the earlier data........

Keywords: Invention, adaptation, cognitive studies, Transformation.

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[2] Khan Farida Abdulla (2004 Living, Learning And Doing Mathematics: A Study Of Working Class Children In Delhi, Contemporary Education 3. Dialogue,2,Pp.199-277.
[3] Saxe.G.B. & Esmonde, I.(2005). Dowling, P. (1995) 'Discipline And Mathematise: The Myth Of Relevance In Education', Perspectives In Education, 16, 2. Available At
Http://Homepage.Mac.Com/Paulcdowling/Ioe/Publications/Dowling1995/Index.Html
[4] Saxe, G.B., & Esmonde, I. (2005). Studying Cognition In Flux: A Historical Treatment Of Fu In The Shifting Structure Of Oksapmin Mathematics. Mind, Culture, & Activity. Available At Http://Lmr.Berkeley.Edu/Docs/Saxe_Esmonde_Mca1234_2.Pdf. Accessed 27-01-2010.

Abstract : The present paper deals with the determination of displacement and thermal stresses in a thick circular plate with internal heat generation. Arbitrary heat flux is applied at the upper surface of a thick circular plate, whereas lower surface at zero temperature and the fixed circular edge is thermally insulated. Here we compute the effects of internal heat generation of a thick circular plate in terms of stresses along radial direction. The governing heat conduction equation has been solved by the method of integral transform technique. The results are obtained in a series form in terms of Bessel’s functions. The results for temperature change and stresses have been computed numerically and illustrated graphically.

Keywords: Internal heat generation, steady state, thermal stresses.

[1] Bhongade CM And Durge M H (2013). Effect Of Michell Function On Steady State Behavior Of Thick Circular Plate. IOSR J. Of Mathematics 8(2) 55-60.
[2] Deshmukh KC And Kulkarni VS (2008). Quasi-Static Thermal Stresses In Steady State Thick Circular Plate. Journal Of Brazilian Society Of Mechanical Sciences And Engineering XXX(2) 175.
[3] Deshmukh KC, Warbhe SD And Kulkarni VS (2009). Non-Homogeneous Steady State Heat Conduction Problem In A Thin Circular Plate And Thermal Stresses. Int. J. Thermophysics 30 1688-1696.
[4] Noda N, Hetnarski R And Tanigawa Y (2003). Thermal Stresses (Taylor And Francis, New York) 2nd Edn. 259-261.
[5] Nowacki W (1957). The State Of Stresses In A Thick Circular Disk Due To Temperature Field. Bull. Acad. Polon. Sci., Scr. Scl. Tech. 5 227.

Abstract : A sum divisor cordial labeling of a graph G with vertex set V(G) is a bijection f from......

Keywords: Sunflower graph, flower graph, jelly fish graph, crown graph, sub division of star graph, cordial graphs, Sum divisor cordial graphs

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[3] I. Beck, Coloring Of Commutative Rings, J. Algebra, 116(1), 1988 208-226.
[4] R. Varatharajan And S. Navanaeetha Krishnan And K. Nagarajan, Divisor Cordial Graphs, International J. Math. Combin 4, 15-25 (2011).
[5] S. K Vaidya And N.H Shah, Further Results On Divisor Cordial Labeling, Annals Pure Appl. Math., 4(2), Pp 150-159, (2013).