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The '''Principle of Least Action''' is an assumption of efficient motion in physics whereby a particle of fixed overall potential and kinetic energy follows the path that minimizes its action. This principle is remarkably productive in [[modern physics]] because it does not depend on vectors or forces, and tends to be independent of coordinate systems.
 
The '''Principle of Least Action''' is an assumption of efficient motion in physics whereby a particle of fixed overall potential and kinetic energy follows the path that minimizes its action. This principle is remarkably productive in [[modern physics]] because it does not depend on vectors or forces, and tends to be independent of coordinate systems.
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The principle predicts behavior based on energy, not forces, and actions rather than points.  A central equation to this approach integrates over time, for a particular path, the difference between kinetic and potential energies.
    
Variations on this principle include the following insights that:
 
Variations on this principle include the following insights that:
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