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1. Calculus of variations: The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real ... (Differential calculus on function spaces) [100%] 2024-06-16 [Calculus of variations] [Optimization in vector spaces]...
2. Calculus Of Variations: The calculus of variations arose from the attempts that were made by Origin mathematicians in the 17th century to solve problems of the of which the following are typical examples. is required to determine the form of a chain of ... [100%] 2022-09-02
3. Quasiconvexity (calculus of variations): In the calculus of variations, a subfield of mathematics, quasiconvexity is a generalisation of the notion of convexity. It is used to characterise the integrand of a functional and related to the existence of minimisers. (Calculus of variations) [86%] 2023-09-28 [Calculus of variations]
4. Fundamental lemma of calculus of variations: In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not a single point. Accordingly, the necessary condition of extremum (functional derivative equal zero) appears in ... (Initial result in using test functions to find extremum) [75%] 2024-03-22 [Classical mechanics] [Calculus of variations]...
5. Applications of the calculus of variations: Applications of the calculus of variations include. [75%] 2024-06-16 [Calculus of variations]
6. Control, Optimisation and Calculus of Variations: ESAIM: Control, Optimisation and Calculus of Variations is a scientific journal in the field of applied mathematics. (ESAIM) [70%] 2022-08-09 [Mathematics journals]
7. Fundamental lemma of the calculus of variations: In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not a single point. Accordingly, the necessary condition of extremum (functional derivative equal zero) appears in ... (Initial result in using test functions to find extremum) [69%] 2024-06-16 [Classical mechanics] [Calculus of variations]...
8. Direct method in the calculus of variations: In mathematics, the direct method in the calculus of variations is a general method for constructing a proof of the existence of a minimizer for a given functional, introduced by Stanisław Zaremba and David Hilbert around 1900. The method relies ... (Method for constructing existence proofs and calculating solutions in variational calculus) [65%] 2024-06-16 [Calculus of variations]