名词
中文翻译：霍普夫不变式
同义词：
['Hopfield invariant', 'Hopfield model']
例句：
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1.The Hopf invariant is a mathematical concept that relates to the stability of neural networks.
霍普夫不变式是与神经网络稳定性相关的数学概念。
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2. In the field of neuroscience, the Hopf invariant is used to study the dynamics of neural circuits.
在神经科学领域，霍普夫不变式被用来研究神经网络的动力学。
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3.The Hopf invariant has been shown to be important for the design of artificial neural networks.
霍普夫不变式已被证明对于人工神经网络的设计至关重要。