以下为句子列表：
英文: Abstract: This paper has given a thorough investigation into theapplication of BP neural network to gravitational density interface inversion as well as the implementation of wavelet theory in potential field decomposition and, on such a basis, analysed a
中文: 文摘:对BP神经网络在重力密度界面反演以及小波分析在位场分离上的应用进行了深入的研究，进而对小波神经网络在重磁资料反演中的应用前景进行了分析、评价。
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英文: Discrete approach with 15'×15' grid is adopted in order to numerically simulate and calculate the gravitational potential field generated by the homogeneous rotation-symmetric ellipsoid, and it is verified that the method, the fictitious compress-recovery
中文: 摘要采用15'×15'网格离散化手段对均质旋转对称椭球体产生的引力位场进行了数值模拟计算，在相对精度优于10^(-4)的水平上，验证了引力位虚拟压缩恢复法以及重力场虚拟向下延拓法的可靠性和有效性。
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英文: Such organic combination of the determined signal analytical method for potential field analytical continuation with the stochastic signal analytical method for principal component analysis provides a new channel for the inversion of geophysical potential
中文: 这种将位场解析延拓的确定信号分析法与主成份分析的随机信号分析法有机联合，为解决地球物理位场反演问题提供了一种途径。
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英文: The effectiveness of the new potential field is verified by simulations.
中文: 仿真实验验证了新的势场方法的有效性。
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英文: The values of analytical continuation at different depths from the potential field downward constitute the continuation field, on which the principal component analysis is made.
中文: 摘要位场向下在不同深度上解析延拓的值构成延拓场，可对延拓场进行主成份分析。
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