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Principle of Least Action was orginally formulated by Pierre Louis Maupertuis, who believe that nature must always operate in the most efficient way possible, so all laws of nature should be described as the minimization of a certain quantity.
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In classical mechanics, the principle of least action states that the motion of a particle along some path always minimize the difference between its kinetic energy and its potential energy.  Mathematically, the motion of a particle always minimizes the action functional.
 
In classical mechanics, the principle of least action states that the motion of a particle along some path always minimize the difference between its kinetic energy and its potential energy.  Mathematically, the motion of a particle always minimizes the action functional.
  
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