以下为句子列表：
英文: Although it is easy to prove the result of the integral mean value theorem in advanced mathematics, the application of the theorem is thus limited.
中文: 摘要高等数学中的积分中值定理，其结论易于证明，但限制了定理的应用。
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英文: By using modulus of functional continuity, Two estimates of the asymptotic rate of convergence for intermediate pointof the mean value theorem are given.
中文: 摘要利用函数连续模给出了中值定理“中间点”收敛速度的两个估计。
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英文: By using the limit theorem, the authors discuss and prove conclusions of asymptotic property of mean point in second mean value theorem for integrals in concessional terms believing that they will take an important effect in integral.
中文: 摘要利用极限理论，给出并证明了减弱条件的积分第二中值定理“中值点”的渐近性的几个结论，相信在积分学中有著很重要的作用。
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英文: Focused on the asymptotic behaviour of mediant for fourth order Lagrange's mean value theorem and obtained the main results as followed (The equation is abbreviated).
中文: 摘要对四阶拉格朗日中值定理中间点的渐近性质进行了研究，得到的主要结果是(方程式略)。
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英文: (α,β) trimmed mean value filter not only has the advantages of mean value filter and middle value filter, but also effectively removes Gauss distributed, impulsive and uniform distributed noises.
中文: （α，β）裁剪均值滤波器不仅具备了普通均值滤波器和中值滤波器的优点，而且还克服了两者的不足，有效地滤除了高斯分布、脉冲及均匀分布噪声。
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