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Implement a function that returns the Cartesian coordinates of a point in a unit k-dimensional sphere. Determining the density distribution for the 2-dimensional case. Implement a function that returns polar coordinates. Random 1000 8-element motifs with a certain probability.

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Implement a function that returns the Cartesian coordinates of a point in a unit k-dimensional sphere. Determining the density distribution for the 2-dimensional case. Implement a function that returns polar coordinates. Random 1000 8-element motifs with a certain probability.

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