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30 de abr. de 2024 · Lev Semyonovich Pontryagin (born September 3, 1908, Moscow—died May 3, 1988, Moscow) was a Russian mathematician, noted for contributions to topology, algebra, and dynamical systems. Pontryagin lost his eyesight as the result of an explosion when he was about 14 years old.
- The Editors of Encyclopaedia Britannica
1 de may. de 2024 · Biografía. El padre de Lev Semenovich Pontryagin, Semen Akimovich Pontryagin, era funcionario. La madre de Pontryagin, Tat’yana Andreevna Pontryagina, tenía 29 años cuando él nació y fue una mujer extraordinaria que desempeñó un papel crucial en su camino para convertirse en matemático.
17 de may. de 2024 · Homotopy groups of spheres. Illustration of how a 2-sphere can be wrapped twice around another 2-sphere. Edges should be identified. In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in ...
10 de may. de 2024 · Optimal control is a critical tool for mechanical robotic systems, facilitating the precise manipulation of dynamic processes. These processes are described through differential equations governed by a control function, addressing a time-optimal problem with bilinear characteristics. Our study utilizes the classical approach complemented by Pontryagin’s Maximum Principle (PMP) to explore ...
Hace 2 días · She worked with the topologists Lev Pontryagin and Nikolai Chebotaryov, who later praised her contributions to the development of Galois theory. Noether taught at Moscow State University during the winter of 1928–1929.
7 de may. de 2024 · [Submitted on 7 May 2024] Control in the coefficients of an elliptic differential operator: topological derivatives and Pontryagin maximum principle. Daniel Wachsmuth. We consider optimal control problems, where the control appears in the main part of the operator. We derive the Pontryagin maximum principle as a necessary optimality condition.
Hace 6 días · For a prime number p p, the Prüfer p p -group is defined uniquely up to isomorphism as the p p -group where every element has exactly p p pth p^ {th} roots. It is a divisible abelian group which can be described in several ways, for example: It is the discrete group that is Pontryagin dual to the compact topological group of p-adic integers ...
