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Generalised spherical coordinate

One of a set of N coordinates, in N dimensional space, consisting of a distance r, and azimuth θ, and N-2 latitude like angles φ1, φ2, φ3, . . . φN-2. If the rectangular, Cartesian coordinates of a point are x1, x2, x3, . . . xN, then the corresponding generalised spherical coordinates are given by

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