布尔代数上何时存在正测度的问题，虽已有相对完整的结果，但多附有一些集论的假设条件。

When there is a positive measure on Boole algebra? This problem had more complete results, but they require some set-theoretic hypothesis usually.

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自相似测度的研究可以追溯到上个世纪30年代，随着研究的深入，人们逐渐发现它与调和分析、代数数论、动力系统及维数的估计都有密切的联系。

The self-similar measure has been studied since 1930's, revealing connections with harmonic analysis, the theory of algebraic numbers, dynamical systems and Hausdorff dimension estimation.

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