以下为句子列表：
英文: Assume that material constants exponential functions or power functions of spatial variable, the related bending fracture models are set, i. e. a series of boundary value problems of partial differential equations are established.
中文: 再将材料常数依次设为空间变量的指数函数和幂函数，建立了相应的弯曲断裂模型，即一系列相关的偏微分方程的边值问题。
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英文: In this paper, the effect of feeding speed on peen-forming is studied thorugh experiments, which shows that chordwise peen-forming deformation is the exponential function of feeding speed.
中文: 摘要试验研究了送进速度与抛丸成形之间的关系，结果显示，横向抛丸变形是送进速度的指数函数。
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英文: The paper gives a derivation rule of the power exponential function and analyzes some common calculation methods.
中文: 摘要证明了一条幂指函数的求导法则，并总结了幂指函数导数计算的常用方法。
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