Given an n-ball B^n of radius R, find the distribution of the lengths s of the lines determined by two points chosen at random within the ball. The probability distribution of lengths is given by P_n(s) = ns^(n - 1)/R^n I_x(1/2(n + 1), 1/2), where x congruent 1 - s^2/(4R^2) and I_x(p, q) = (B(x;p, q))/(B(p, q))

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