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; a simplified proof was given in 1976 by A. Pinkus.
are given continuously integrable functions then there exist
- Hobby, C. R.; Rice, J. R. (1965). "A moment problem in L1 approximation". Proceedings of the American Mathematical Society (American Mathematical Society) 16 (4): 665–670. doi:10.2307/2033900. JSTOR 2033900.
- Pinkus, Allan (1976). "A simple proof of the Hobby-Rice theorem". Proceedings of the American Mathematical Society (American Mathematical Society) 60 (1): 82–84. doi:10.2307/2041117. JSTOR 2041117.
- Alon, Noga (1987). "Splitting Necklaces". Advances in Mathematics 63 (3): 247–253. doi:10.1016/0001-8708(87)90055-7.
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