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Документ Some generalizations and representations of the possibilities of multi-parametric mapping of affin space in an appendix to the curvolinear forming and transmission movement(Editura "Academica Brâncuşi", Târgu Jiu, România, 2018) Gutsalenko, Yury; Mironenko, Alexander; Shelkovoi, Alexander; Tretyak, Tatyana; Mironenko, SergeyThe works of Prof. B. A. Perepelitsa from Kharkov Polytechnic Institute and his disciples to develop an applied methodology of multiparameter mappings in relation to the profiling and functioning of complex curvilinear objects and transmission mechanisms in mechanical engineering, mainly with examples of gears, are presented. The completed review is gratefully devoted to the 10th anniversary of Fiability & Durability Journal, which has repeatedly provided its platform to the authors to highlight this development of the wide Romanian, European and world scientific community.Документ Structural approach to the mathematical description and computer visualization of plane kinematic curves for the display of gears(Editura "Academica Brâncuşi", Târgu Jiu, România, 2018) Tretyak, Tatyana; Mironenko, Alexander; Gutsalenko, Yury; Krukova, Natalia; Mironenko, SergeyThe structural approach stated in this paper allows to simulate the different plane kinematic curves without their concrete analytic equations. The summarized unified mapping system for rack gearing is used. The examples of plane kinematic curves received by the structural method on computer are adduced.