以下为句子列表：
英文: Abstract: Seismic inversion problems must be solved by non-linear global optimization methods.
中文: 文摘:地震反演问题常常需要一些非线性全局最优化的方法。
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英文: Based on the combination of evolution strategy and limit equilibrium method, an effective global optimization method is proposed to allocate the most dangerous non-circular critical slip surface corresponding to the minimum factor of safety in slopes.
中文: 摘要将进化策略与边坡稳定极限平衡法相结合，建立了边坡任意形状最危险滑裂面及相应最小安全系数的全局优化搜索方法。
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英文: Because concrete crack will greatly affect the security of concrete penstock in hydropower station, the paper applies the theory of global optimization method to predict the maximum concrete crack width in steel-lined reinforced concrete penstock and brin
中文: 摘要基于人工神经网络的全局优化方法的基本理论，对钢衬钢筋混凝土压力管道外包混凝土结构裂缝预测进行了研究，提出了基于神经网络的管道混凝土裂缝预测模型。
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英文: Genetic algorithm is a global optimization search method, which is based on biological evolutionary mechanisms such as natural selection, heredity and mutation.
中文: 摘要遗传算法是一种基于自然选择和遗传变异等生物进化机制的全局优化搜索算法。
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英文: In the first phase, users are partitioned into fuzzy regions according to quantity supplied and the length of paths using genetic algorithm; in the second phase the global optimization is carried out by the hybrid genetic algorithm with 2D variable-length
中文: 在第1阶段，使用遗传算法对客户按供应量和路径长度进行模糊分区；在第2阶段，采用二维变长染色体编码及相应的遗传算子进行混合遗传算法的全局优化。
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