calculus of variations problem


calculus of variations problem
задача вариационного исчисления, вариационная задача

Авиасловарь. . 2004.

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  • Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …   Wikipedia

  • calculus of variations — the branch of mathematics that deals with the problem of finding a curve or surface that maximizes or minimizes a given expression, usually with several restrictions placed on the desired curve. [1830 40] * * * ▪ mathematics       branch of… …   Universalium

  • Fundamental lemma of calculus of variations — In mathematics, specifically in the calculus of variations, the fundamental lemma in the calculus of variations is a lemma that is typically used to transform a problem from its weak formulation (variational form) into its strong formulation… …   Wikipedia

  • History of calculus — History of science …   Wikipedia

  • Differential calculus — The graph of a function, drawn in black, and a tangent line to that function, drawn in red. The slope of the tangent line equals the derivative of the function at the marked point. Topics in Calculus …   Wikipedia

  • Chaplygin problem — In mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem with a differential constraint. Specifically, the problem is to determine what flight path an… …   Wikipedia

  • Kepler problem in general relativity — The Kepler problem in general relativity involves solving for the motion of two spherical bodies interacting with one another by gravitation, as described by the theory of general relativity.Typically, and in this article, one body is assumed to… …   Wikipedia

  • Timeline of calculus and mathematical analysis — A timeline of calculus and mathematical analysis 1000 to 1500 * 1020 Abul Wáfa Discussed the quadrature of the parabola and the volume of the paraboloid. * 1021 Ibn al Haytham completes his Book of Optics , which formulated and solved “Alhazen s… …   Wikipedia

  • isoperimetric problem — ▪ mathematics       in mathematics, the determination of the shape of the closed plane curve having a given length and enclosing the maximum area. (In the absence of any restriction on shape, the curve is a circle.) The calculus of variations… …   Universalium

  • Inverse problem for Lagrangian mechanics — In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can arise as the Euler–Lagrange equations for some Lagrangian function. There has been a great… …   Wikipedia

  • Homicidal chauffeur problem — In game theory, the homicidal chauffeur problem is a mathematical pursuit problem which pits a hypothetical runner, who can only move slowly, but is highly maneuverable, against the driver of a motor vehicle, which is much faster but far less… …   Wikipedia


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