名词短语
中文翻译：不规则双有理变换
同义词：
['irregular dual transformation', 'irregular birational transformation']
例句：
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1. The irregular birational transformation of the system is a complex process that requires careful analysis.
系统的不规则双有理变换是一个复杂的过程，需要仔细分析。
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2.In the study of differential equations, understanding the irregular birational transformation is crucial for solving complex problems.
在研究微分方程时，理解不规则双有理变换对于解决复杂问题至关重要。
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3. The irregular birational transformation is used to model the behavior of systems with nonlinear dynamics.
不规则双有理变换用于模拟具有非线性动力学行为的系统行为。