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970    For example, a sphere in three dimensions is a two dimensional
972 the sphere, the plane tangent to it defines a two dimensional
973 tangent space. For a cost function defined on this sphere, given a
974 point :math:`x`, moving in the direction normal to the sphere at
976 on a sphere is to optimize over two dimensional vector
977 :math:`\Delta x` in the tangent space at the point on the sphere
979 move operation involves projecting back onto the sphere. Doing so