Lagrangian


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Lagrangian

[lə′grän·jē·ən]
(mechanics)
The difference between the kinetic energy and the potential energy of a system of particles, expressed as a function of generalized coordinates and velocities from which Lagrange's equations can be derived. Also known as kinetic potential; Lagrange function.
For a dynamical system of fields, a function which plays the same role as the Lagrangian of a system of particles; its integral over a time interval is a maximum or a minimum with respect to infinitesimal variations of the fields, provided the initial and final fields are held fixed.
References in periodicals archive ?
individuals behave similarly, then the Lagrangian approach would reveal
Main differences in Lagrangian and Eulerian formulation are those (Fig.
Chen: Jacobi's elliptic functions and Lagrangian immersions, Proc.
The geometry of Lagrange spaces is presented in chapter II as a study subordinated to the geometry of tangent manifold using the principles of Analytical Mechanics given by variational problem on the integral of action of a regular Lagrangian, the law of conservation, Nother theorem etc.
For a Lagrangian submanifold L in a symplectic manifold, the cohomology group H*(L;[[LAMBDA].
Such objects typically remain gravitationally trapped for relatively short periods (1,000-100,000 years) and eventually switch to one or other Lagrangian point, or are even ejected altogether thereby losing their Trojan status.
Before attempting a full-scale blast load analysis, the engineers conducted three analyses to verify the Abaqus CEL could simulate normal and oblique shock wave reflections against the Lagrangian model accurately.
Given a Lagrangian L : T x R x R [right arrow] R, we define the dual (corresponding) Lagrangian [L.
An essential condition to be satisfied is that (x*, [mu]*, a*) should be a saddle point of the lagrangian [L.
augmented Lagrangian, sequential quadratic programming) or on stochastic approaches which are more satisfactorily adopted to global optimum research (i.
The Maxwell equations, written in terms of these potentials, are said to be expressed in material or Lagrangian form.

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