以下为句子列表：
英文: Abstract: On the basis of equal probability principle, Boltzmann statistics and ensemble statistics, this paper has derived the statistical distribution function on multimember system in the quasi-independent particles and obtained the equivalence between
中文: 文摘:利用平衡态统计物理的等概率原理,玻耳兹曼统计法和系综统计法,导出在平衡状态下多种近独立粒子系统的粒子数分布.结果表明,对于宏观系统而言,玻耳兹曼统计和系综统计是等价的.
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英文: Abstract: Using the notion of fuzzy point, the concept of weak implicative ideal is introduced, and the equivalence between fuzzy implicative ideal and weak implicative ideal, weak ideal and weak implicative ideal are also given.
中文: 文摘:运用模糊点的概念,引入了弱关联理想的概念,给出了模糊关联理想与弱关联理想、弱理想与弱关联理想的等价关系.
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英文: According to the time-stress equivalence principle, the creep compliance vs. time curves at five different stress levels are determined and shifted along logarithmic time axis to get a master compliance curve at a given reference stress level.
中文: 运用时间－应力等效原理，可以由较高应力水平下较短时间的试验数据，通过沿时间轴的平移得到较低应力水平下材料的长期性能。
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英文: And now a new method-equivalence change is given in this paper.
中文: 给出了另一种求最大公因式的方法，即等效变换法。
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英文: Auction theory: Winner's Curse given common values and Revenue Equivalence given independent private values.
中文: 拍卖理论：有同等价值的赢家曲线以及在独立的私人价值下的收入等式。
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