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1. The mixed recurring continued fraction is a complex mathematical concept that requires careful analysis.
混合连续分数是一个复杂的数学概念，需要仔细分析。
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2. In mathematics, the mixed recurring continued fraction is used to model certain types of functions.
在数学中，混合连续分数被用来模拟某些类型的函数。
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3. The study of mixed recurring continued fractions has led to important developments in the field ofnumber theory.
混合连续分数的研究导致了数论领域的重要发展。