以下为句子列表：
英文: According to mend and predigest the Bertrand model, we introduce the learning effect and the Spillover into the profit function.
中文: 摘要通过在伯川德模型利润函数中引入学习影响、溢出因子等，实现了该模型的改进和简化。
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英文: By analogizing the concept of particle collides in high-energy physics, we proposed the particle model of logic function, and constructed the particle collide arithmetic of logic function predigest according to this model, finally using VC++6.0 programmin
中文: 摘要类比高能物理中粒子碰撞的概念，提出了逻辑函数的粒子模型，根据此模型构造了化简逻辑函数的粒子碰撞算法，并用VC++6.0编程实现。
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英文: The paper adopted multilevel discriminant analysis step by step to predigest the indexes and establish new index system. Establish the four levels' discriminant functions by the new index system.
中文: 摘要采用多因素分析方法从目前普遍认可的反映科技期刊学术水平的多项评价指标中筛选出影响作用大的指标，构建期刊学术水平评估指标体系。依据新的评估指标体系建立期刊方阵四类判别函数模型。
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英文: The program indicates: The arithmetic can carry on accurate and fast predigest to the complicated logic function of changeable quantity.
中文: 程序应用表明：算法能对多变量复杂逻辑函数进行准确快速的化简。
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