AI 中文总结
本文探讨尼罗河问题的可解性,在自然假设下证明原始问题在连通地块条件下有解,推翻了一般无解的结论。
AI 中文摘要
尼罗河问题由R. Fisher于1936年提出。该问题涉及农业土地的公平分配,并且是以其命名的一类关于测度和相似区域的一般问题的同名问题。1938年,W. Feller证明了该一般问题无解。然而,我们将证明在自然假设下,原始的尼罗河问题在连通地块条件下是可解的。
英文摘要
The problem of the Nile has been stated by R. Fisher in 1936. This problem concerns the fair division of an agricultural land and is the eponymous problem of a general class of problems on measures and similar regions. In 1938, W. Feller has shown that the general problem has no solution. However, we will show that under a natural hypothesis, the original problem of the Nile is solvable with connected plots.
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