| 21. | Eddie arrives at the team's headquarters, referred to as the " Hypersphere " and is initially dismissed as a fanboy.
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| 22. | As the radius increases the curvature of the hypersphere decreases; in the limit a hypersphere approaches the zero curvature of a hyperplane.
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| 23. | As the radius increases the curvature of the hypersphere decreases; in the limit a hypersphere approaches the zero curvature of a hyperplane.
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| 24. | That is, as a proportion of the relevant unit hypersphere taken up by the generalized angle, or set expressed in spherical coordinates.
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| 25. | RS works by iteratively moving to better positions in the search-space, which are sampled from a hypersphere surrounding the current position.
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| 26. | That's the definition of a hypersphere; a torus has positive curvature at some places along its surface, negative curvature at others.
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| 27. | Just as in the simpler example above, each rotation represented as a point on the hypersphere is matched by its antipodal point on that hypersphere.
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| 28. | Just as in the simpler example above, each rotation represented as a point on the hypersphere is matched by its antipodal point on that hypersphere.
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| 29. | It should be trivial to find the average distance for points inside a hypersphere . talk ) 01 : 48, 15 April 2007 ( UTC)
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| 30. | Some spheres are not hyperspheres : suppose " S " is a sphere in three-dimensional space, but it is a hypersphere in the plane.
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