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arXiv 1912.08060math.MGcs.ITmath.CAmath.ITmath.LO
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曲线诱导投影的维数

The dimension of projections induced by a curve

D. M. Stull

备注：
The zero finding algorithm (Theorem 5) is seriously flawed. Although possible to compute the zero by adding an approximation of | <\dot{gamma}(θ), w> | to the advice string, doing so might increase the advice strings length by too large an amount
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摘要：

集合的豪斯多夫维数在投影到子空间上时的行为是分形几何中的一个基本问题。在本文中，我们解决了Fassler和Orponen的一个问题，涉及到一个集的维数时，投影到一个家庭的线诱导曲线。

英文摘要：

The behavior of the Hausdorff dimension of a set when projected onto a subspace is a fundamental question in fractal geometry. In this paper, we settle a question of Fassler and Orponen concerning the dimension of a set when projected onto a family of lines induced by a curve.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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