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通过简要回顾《美国数学月刊》2004年1月问题11057的研究及进展,指出其“对偶”问题结论存在的缺失,并加以更正和完善;同时,对其提出的“类比”问题给出了存在性证明,并且对结论是否存在具体表达式进行了有意义的探索,提出自己的看法.
Through a brief review of the research and progress of American Mathematical Monthly in January 2004, the author pointed out the deficiencies of its “duality” conclusion and corrected and perfected it. At the same time, the “Analogy” Gives the proof of existence, and makes a meaningful exploration of the existence of specific expressions in the conclusion and puts forward my own views.