CONSIDERATIONS ON SOME OPPORTUNITIES FOR OPTIMIZING NONCONVENTIONAL TECHNOLOGIES USING SUPERMATHEMATICS

Dumitru MNERIE, Remus BOBOESCU, Gabriela Victoria MNERIE

Abstract


The conception and design of complex surfaces is often limited to the difficulty of defining them through mathematical relationships, which facilitate their generation with the help of nonconventional technologies, respectively based on the numerical commands of the appropriate technological equipment. For almost 50 years, the supermathematics of the Romanian scientist Mircea-Eugen Șelariu has determined a lot of discussions and debates regarding the understanding and applicability of the new development of mathematics. Supermathematics is itself a nonconventional approach to classical mathematics. The present work includes some notions regarding the definition, characterization, and interpretation of supermathematics, with the study of some directions of applicability in the field of optimizing the use of nonconventional technologies, respectively to facilitate the design of optimized software programs, with perspectives to widen the possible diversity of generation/processing of complex geometric surfaces.


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References


Vivekanandhan, T., Kashani, A., & Echempati, R., Computer-aided torch trajectory generation for automated coating of parts with complex surfaces, Journal of Thermal Spray Technology, 3(2), pp. 208-215, June 1994, http://doi.org/10.1007/BF0264828.

Masood, A., Siddiqui, R., Pinto, M., Rehman, H., Khan, M. A., Tool Path Generation, for Complex Surface Machining, Using Point Cloud Data, Procedia CIRP 26, pp. 397-402, 12th Global Conference on Sustainable Manufacturing, Johor Bahru - Malaysia, 22nd-24th September 2015, Elsevier.

Han, R., Chapman, G.F., Results achieved in the generation of complex surfaces using deterministic ultraprecision machining systems and processes, Proceedings of SPIE - The International Society for Optical Engineering 4231, Proceedings Volume 4231, Advanced Optical Manufacturing and Testing Technology, 2000, https://doi.org/10.1117/12.402788.

Wang, D., Feifei Liu, F., Liu, T., Sun, S., Qiong He, Q., Zhou, L., Efficient generation of complex vectorial optical fields with metasurfaces, Light: Science & Applications volume 10, Article number: 67, 2021, https://doi.org/10.1038/s41377-021-00504-x.

Berezin, F., The Life and Death of the Mastermind of Supermathematics, edited by Mikhail Shifman, World Scientific, Singapore, ISBN 978-981-270-532-7, 2007, https://doi.org/10.1142/6365.

Wegner, F., Supermathematics and its applications in statistical physics. Grassmann variables and the method of supersymmetry, Lecture Notes in Physics 920, Published: by Springer, ISBN: 978-3-662-49168-3, 2016, https://doi.org/10.1007/978-3-662-49170-6.

Smarandache, F., Techno-Art of Selariu SuperMathematics Functions, American Research Press, ISBN 978-1-59973-037-0, 2007. https://digitalrepository.unm.edu/cgi/viewcontent.cgi?article=1293&context=math_fsp.

Smarandache, F., (2013), Professor Şelariu's Supermathematics, Collected Papers, V, Papers of Mathematics or Applied mathematics, EuropaNova asbl, Brussels, pp. 71-80, 2014, ISBN 978-1-59973-317-3, https://philarchive.org/archive/SMACPP.

Șelariu, M.E., Supermatematica Fundamente, Vol. II, Editura Politehnica Timisoara, ISBN: 978-606-554-487-1, Seria: Matematici moderne, 2012.

Smarandache, F., Techno-Art of Selariu Supermathematics Functions, Vol. 2, Kindle Edition, Publisher: Indo American Books, ASIN: B08J7J525L, 2020.

Șelariu, M.E., supermatematica online, http://supermatematicaonline.blogspot.com.

Șelariu, M.E., Supermatematica - o introducere, https://www.scientia.ro/stiinta-la-minut/110-matematica/1918-supermatematica-o-foarte-scurta-introducere.html.

Șelariu, M.E., „Quadrilobic vibration systems”, The 11 – th International Conference on Vibration Engineering, Timişoara, Sept. 27-30, 2005 pag. 77-82


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