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The Barnes-Hut Algorithm is a method for efficiently approximating the forces in an N-body Simulation, reducing the Computational Complexity from O(N^2) to O(N log N) by using a Hierarchical Spatial Decomposition. It is widely used in Computational Physics and Computer Graphics for Simulating large systems of particles, such as galaxies or Molecular Dynamics, where direct computation of Pairwise interactions would be prohibitive.
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