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1. The pantograph ratio is used to determine the optimal point of operation for a given system.
拉格朗日比用于确定给定系统的最优操作点。
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2. In economics, the pantograph ratio is used to measure the efficiency of resource allocation.
在经济学中，拉格朗日比用于衡量资源分配的效率。
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3. The pantograph ratio can be used to analyze the impact of different policies on the economy.
拉格朗日比可以用来分析不同政策对经济的影响。