On Different Approaches to Solving Extreme Problems

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Abstract

The article discusses the geometric and analytical methods for solving known extreme problems and identifies the logical relationships between these problems, the preference for using one or another method for solving extreme problems is shown by specific examples.

General Information

Keywords: Extreme problems, Lemoine point, Lhuillier point, isogonality, centroid, Lagrange multiplier method, triangle, tetrahedron

Journal rubric: Optimization Methods

DOI: https://doi.org/10.17759/mda.2021110104

For citation: Kulanin Y.D., Nurkaeva I.M., Stepanov M.E. On Different Approaches to Solving Extreme Problems. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2021. Vol. 11, no. 1, pp. 40–60. DOI: 10.17759/mda.2021110104. (In Russ., аbstr. in Engl.)

References

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  3. Kulanin E.D., Stepanov M.E., Nurkaeva I.M. The role of figurative thinking in scientific thinking. // Data modeling and analysis. 2020. – vol. 10. – No. 2, pp. 110–128.
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Information About the Authors

Yevgeny D. Kulanin, PhD in Physics and Matematics, Professor, Moscow State University of Psychology and Education, Moscow, Russia, ORCID: https://orcid.org/0000-0001-6093-7012, e-mail: lucas03@mail.ru

Irina M. Nurkaeva, PhD in Education, Associate Professor of the Department of Applied Informatics and Multimedia Technologies, Moscow State University of Psychology and Education, Moscow, Russia, ORCID: https://orcid.org/0000-0002-1949-6734, e-mail: nurkaevaim@yandex.ru

Mikhail E. Stepanov, PhD in Education, Associate Professor, Moscow State University of Psychology and Education, Moscow, Russia, ORCID: https://orcid.org/0000-0003-4803-8211, e-mail: mestepanov@yandex.ru

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