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Perfect evaluation of difference data resulting from shearing experiments with large shears for reference- free measurements and error separation techniques

机译:完美评估剪切实验,具有大剪切的剪切实验,可用于参考测量和误差分离技术

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摘要

The problem of reconstructing a function from results of difference measurements is considered. Properties of the first difference operator associated with the analysis of difference measurements are studied. The generalized inverse is introduced and discussed. An explicit formula for calculating the generalized inverse is given in terms of a Fourier expansion for a specific choice of the shearing parameters. Based on results of the application of the generalized inverse, reconstruction procedures can be designed which allow exact reconstruction in the discete case from only two shearing experiments.
机译:考虑从差异测量结果重建功能的问题。研究了与分析差异测量相关的第一差分运算符的性质。介绍并讨论了广义逆。在针对剪切参数的特定选择的特定选择的傅里叶扩展方面给出了用于计算广义逆的显式公式。基于普遍性逆的应用,可以设计重建程序,从而从两个剪切实验中允许断裂箱中的精确重建。

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