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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.
Each figure includes an articulated stand. The height of the figures is around 13–16 cm, varying depending on the height of the character. Each figma usually comes with a number of different faceplates and hands. Some parts are compatible between different figma figures, making it possible to swap parts and create unique combinations.
One of the conditions for the applicability of many theorems and equations is that the system must be a holonomic system. For example, if a physical system is a holonomic system and a monogenic system, then Hamilton's principle is the necessary and sufficient condition for the correctness of Lagrange's equation. [3]
These are 3-inch scale figures with identical sculpts to the 6-inch figures with limited articulation, display stands and action features and/or weapons. These were previously going to be called Battleague figures and marketed as game figures but were later on consolidated into the DC Universe line as collectible figurines.
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 ...
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.
In the mechanical interpretation, the green lines denote constant values of action derived by applying Hamilton's principle to mechanical motion and the red lines are the orthogonal object trajectories. [11] The orthogonality of the wavefronts to rays (or equal-action surfaces to trajectories) means we can compute one set from the other set. [10]
McFarlane's Dragons are a line of action figures which were launched in 2005 under the "Horror, Fantasy and Sci-Fi Action Figures" section of McFarlane Toys. These figures were released biannually. [4] This set features several highly detailed six inch dragon action figures and a slightly larger and more expansive "boxed set" figure.
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