以下为句子列表：
英文: After the separation of political economy from political science, mathematical analysis was introduced into economic research on a large scale out of an aspiration for better methodology while political factors were increasingly weakened.
中文: 摘要政治经济学与政治学分离之后，出于对方法论进步的渴求，数理分析方法被大量引入经济研究，而政治的因素则日益淡化。
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英文: By means of mathematical analysis and computer simulation, the authors found out the characteristics of the multi-agent organization's behavior sod the perfect strategy for the individual agents to maximize their utility based on the specific assumptions
中文: 通过对多智能体组织模型的构建，借助数学分析和计算机模拟，得到了关于多智能体组织规模、生产函数和自组织工作等不同假设情况下的组织行为特点和个体最优行为策略。
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英文: The mathematical analysis shows that, with disregarding local head losses and by means of different simplified rigid models, the calculated results of the maximum pressure in a pressurized pipe system containing trapped air mass are equal to and independe
中文: 摘要通过数学分析证明，在不计局部水头损失时，目前常用的几种简化刚性数学模型的最大气压计算结果相等，并与管道内初始充水段长度无关。
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英文: Throughout we have attempted first to present the techniques, to illustrate them by numerical examples, and then to provide detailed mathematical analysis and an argument showing convergence to an optimal solution.
中文: 全部线索是，我们首先给出技术，通过数值例子来阐述它们，然后详细提出数学分析和一个表明收敛到最优解的论点。
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英文: Mathematical Analysis of Broach Vibration and Experimental Study
中文: 拉削振动的数学分析和实验研究(Ⅰ)
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