以下为句子列表：
英文: Abstract: The method about constructure of a new compactly supported orthonormal wavelet and scale function concerned is put forward and the exponent regularity of the kind of wavelet and related scale function is estimated accurately.
中文: 文摘:提出了一类新的具有紧支集的标准正交小波基以及相关的尺度函数的构造方法，准确估计了该类小波和相关尺度的正则性指数。
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英文: An advocate of a particular ideology, especially an official exponent of that ideology.
中文: 理论家，倡导者某一理论的提倡者，尤指对此意识形态的正式阐释
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英文: British mathematician, astronomer, and physicist who was an early exponent of the theory of relativity and conducted research on the evolution, structure, and motion of stars.
中文: 爱丁顿，阿瑟·斯坦利1882－1944英国数学家、天文学家和物理学家，相对论的早期拥护者，在星体演化、结构和运动方面有很深研究
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英文: But grey model has some shortcomings, as GM (1, 1) is an increasing exponent model, which is of unlimited increase.
中文: 但灰色模型有不足之处，主要是GM(1,1)预测模型是增长指数模型，具有无限增长的特性。
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英文: Cubic spline interpolant in power exponent form was introduced, and its existence under the first boundary condition was proved.
中文: 摘要本文给出了三次样条插值函数的指数形式；在第一类边界条件下，证明了其存在性。
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