名词
中文翻译：双有理映射
同义词：
['birational morphism', 'birational morphisms']
例句：
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1. In the studyof differential equations, birational morphisms play a crucial role in solving complex problems.
在研究微分方程时，双有理映射在解决复杂问题中起着至关重要的作用。
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2. The birational morphism theory has been widely applied in the field of computer graphics.
双有理映射理论在计算机图形学领域得到了广泛的应用。
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3.The birational morphisms are used to construct the mapping from the manifold to the vector space.
双有理映射用于构建从流形到向量空间的映射。