RUDN Journal of Engineering ResearchRUDN Journal of Engineering Research2312-81432312-8151Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)1600710.22363/2312-8143-2017-18-1-125-134Research ArticleMETHOD OF BINARY ANALYTIC PROGRAMMING TO LOOK FOR OPTIMAL MATHEMATICAL EXPRESSIONDiveevAskhat IDoctor of technical sciences, professor, chief of sector of Cybernetic problems, professor of department Mechanics and mechatronicsaidiveev@mail.ruLomakovaEvgenia Mgraduate student, department Mechanics and mechatronicslomakovajm@gmail.comFederal Research Center “Computer Science and Control” of RASEngineering Academy Peoples’ Friendship University of Russia1512201718112513413052017Copyright © 2017, Diveev A.I., Lomakova E.M.2017In the known methods of symbolical regression by search of the solution with the help of a genetic algorithm, there is a problem of crossover. Genetic programming performs a crossover only in certainpoints. Grammatical evolution often corrects a code after a crossover. Other methods of symbolical regression use excess elements in a code for elimination of this shortcoming. The work presents a new method of symbolic regression on base of binary computing trees. The method has no problems with a crossover. Method use a coding in the form of a set of integer numbers like analytic programming. The work describes the new method and some examples of codding for mathematical expressions.symbolic regressiongenetic programminggenetic algorithmсимвольная регрессиягенетическое программированиегенетический алгоритм[Koza, J.R. Genetic Programming: On the Programming of Computers by Means of Natural Selection. Cambridge, Massachusetts, London, MA: MIT Press, 1992. 819 p.][O’Neill, M., Ryan, C. Grammatical Evolution. IEEE Trans. Evol. Comput. 2001, 5. Pp. 349-358.][Zelinka, I. Analytic programming by Means of SOMA Algorithm. In Proceedings of 8th InternationalConference on Soft Computing Mendel 02, 2002, Brno, Czech Republic. Pp. 93-101.][Diveev, A., Sofronova, E. Application of Network Operator Method for Synthesis of Optimal Structure and Parameters of Automatic Control System. Proc. of 17-th IFAC World Congress, Seoul, 05.07.2008 - 12.07.2008. Pp. 6106-6113.][Miller, J., Thomson, P. Cartesian Genetic Programming. Proc. EuroGP’2000R 3rd European Conf. Genetic Programming, R. Poli, W. Banzhaf, W.B. Langdon, J.F. Miller, P. Nordin, and Fogarty, T.C. Eds., Edinburgh, Scotland, 2000, vol. 1802. Berlin: Springer-Verlag. Pp. 121-132.][Luo, C., Zhang, S.-L. Engineering Applications of Arti cial Intelligence. 2012, 25. Pp. 1182-1193.]