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Hamilton's principle states that the true evolution q(t) of a system described by N generalized coordinates q = (q 1, q 2, ..., q N) between two specified states q 1 = q(t 1) and q 2 = q(t 2) at two specified times t 1 and t 2 is a stationary point (a point where the variation is zero) of the action functional [] = ((), ˙ (),) where (, ˙,) is the Lagrangian function for the system.
In physics, Lagrangian mechanics is a formulation of classical mechanics founded on the stationary-action principle (also known as the principle of least action). It was introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in his presentation to the Turin Academy of Science in 1760 [ 1 ] culminating in his 1788 ...
List of World of Springfield figures and playsets is a compilation of action figures and other items related to the animated sitcom The Simpsons and provided in the World of Springfield play toy line released by Playmates Toys in December 1999. After the last of the toy line was released in December 2004, the fictional toy world eventually ...
Action principles are "integral" approaches rather than the "differential" approach of Newtonian mechanics.[2]: 162 The core ideas are based on energy, paths, an energy function called the Lagrangian along paths, and selection of a path according to the "action", a continuous sum or integral of the Lagrangian along the path.
The general results presented above for Hamilton's principle can be applied to optics using the Lagrangian defined in Fermat's principle.The Euler-Lagrange equations with parameter σ =x 3 and N=2 applied to Fermat's principle result in ˙ = with k = 1, 2 and where L is the optical Lagrangian and ˙ = /.
In physics, action is a scalar quantity that describes how the balance of kinetic versus potential energy of a physical system changes with trajectory. Action is significant because it is an input to the principle of stationary action, an approach to classical mechanics that is simpler for multiple objects. [1]
An action figure is a poseable character model ... 1:15: 0.8" [20.32 mm] ... is molded to include a bubble that will house the action figure and all of its accessories.
With the renewed interest in 12-inch action figures of all kinds, Hasbro decided to go beyond the 12-inch versions of their "Hall of Fame" G.I. Joe line and reintroduce a series of figure closer in spirit to the original G.I. Joe lineup. Hasbro's G I Joe Classic Collection figures were first released in 1996, under the Kenner brand.