名词
中文翻译：格拉姆曼流形同义词
同义词：
['Grassmannmanifold', 'Grassmannian manifold']
例句：
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1. In the study of differential geometry, Grassmann manifolds play a crucial role in determining theshape and properties of objects under various conditions.
在微分几何学研究中，格拉姆曼流形在确定物体在不同条件下的形状和属性方面起着至关重要的作用。
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2. Thetheory of Grassmann manifolds has been applied to numerous fields, including engineering, physics,and computer science.
格拉姆曼流形理论已被广泛应用于工程、物理学和计算机科学等多个领域。
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3. The study of Grassmann manifolds is not onlytheoretically challenging but also requires advanced mathematicaltools and techniques to analyze and visualize complexgeometric structures.
研究格拉姆曼流形不仅在理论上具有挑战性，还需要使用先进的数学工具和技术来分析和可视化复杂的几何结构。