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计算共形几何
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计算共形几何
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理学
复变函数论
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computational conformal geometry
计算共形几何
数学和计算机科学的交叉学科,主要研究带度量曲面的共形不变量、黎曼面间的共形和拟共形映射、黎曼度量和共形结构的关系。在数学方面,共形几何是复分析、代数拓扑、黎曼面理论、代数曲线、微分几何、拟共形几何以及偏微分方程的交汇领域;在计算机科学方面,计算共形几何结合了计算几何、偏微分方程数值计算等领域。计算共形几何将现代拓扑和几何理论转化成计算方法,广泛应用于工程和医疗领域。
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