以下为句子列表：
英文: A new flow rule was recommended, and it offered a new way for obtaining the approximate solution of the ultimate load with the theorem.
中文: 并建议了一种新的流动法则，对应用定理求极限荷载的近似解给出了新的解题思路。
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英文: Abstract: In this paper,using the improved L-P method and the interpolation perturbation method,the authors seek to solve a class of the damped strongly nonlinear free oscillation problems.Its first order approximate solution is obtained.
中文: 文摘:本文用插值摄动法及改进的L-P法相结合的方法求解了一类有阻尼的强非线性自由振动问题，得到了一级近似解。
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英文: The precision of the zeroth order approximate solution of the stress intensity factor is up to O[(k'π)].
中文: 果表明,强度因子的零阶摄动解具有O[δ~]的精度,方便了计算。
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英文: Nonlinear singularly perturbed approximate solution for generalized Lotke-Volterra ecological model
中文: 广义Lotke-Volterra生态模型的非线性奇摄动近似解(英文)
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英文: Approximate solution to a coupling model,of ecological system for the habitat and annihilation of species groups
中文: 栖息地与种群灭绝的生态系统耦合模型的近似解
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