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本研究建立了一个结合分形几何try 和数论的新型公理框架,揭示了数学工具与空间维度之间的动态关系。通过构建与维度相关的测度理论和分数阶微分方程,我们首次在实验系统中观察到了数学定律的维度敏感性。通过受控石墨烯褶皱实验和分形动力学模拟,验证了重整化微分算子与维度参数之间的定量关系,为基础数学研究提供了新的实证范式。
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ALGORITHMIC ALGEBRAIC NUMBER THEORY (Encyclopedia of Mathematics and its Applications) [PDF]
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Dynamics, Geometry, Number Theory
2022Fisher, F. D., Kleinbock, D., Soifer, G.
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Some problems in probability theory motivated by number theory and mathematical physics [PDF]
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MULTIPLICATIVE NUMBER THEORY (Graduate Texts in Mathematics, 74)
Bulletin of the London Mathematical Society, 1982openaire +2 more sources
INTRODUCTION TO ANALYTIC NUMBER THEORY (Translations of Mathematical Monographs 68)
Bulletin of the London Mathematical Society, 1989openaire +2 more sources