Hobby–Rice theorem

Hobby–Rice theorem In mathematics, and in particular the necklace splitting problem, the Hobby–Rice theorem is a result that is useful in establishing the existence of certain solutions. It was proved in 1965 by Charles R. Hobby and John R. Rice;[1] a simplified proof was given in 1976 by A. Pinkus.[2] The theorem Given an integer n, define a partition of the interval [0,1] as a sequence of numbers which divide the interval to {displaystyle n+1} subintervals: {displaystyle 0=z_{0}

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