给出了利用高阶谐波的双正交性。用带源修正的源迭代方法求高阶谐波的具体流程和公式。
Based on the hi-orthogonality of the higher order harmonics, the process and formulas for higher order harmonics calculation are derived via the source iteration method with source correction.
根据特性矩阵得出了正交双偏振法的数学表达式，并通过实验验证其有效性。
Based on Characteristic matrix, we work out mathematic expression of the orthogonal polarizing method, and we verify it through experiment.
根据此矩阵得出了红外光谱测量中正交双偏振法，并通过实验验证了其有效性。
Based on the matrix, we get the orthogonal polarizing method in the Near-infrared spectral monitoring and verify it in experiment.
最后，证明了在一些经典赋范空间中对称性的双正交元存在。
Finally, the existence of symmetry biorthogonal elements in some classical normed Spaces is proved.
通过将多分辨分析扩展到多进小波的办法，本文也构造了一个具有双对称性、紧支撑集和高阶消失矩的4-进正交小波类。
By extending the theory of multi-resolution analysis to multi-bank wavelets, this paper also focuses on the study of 4-bank compactly supported bi-symmetric orthonormal wavelets.
通过将多分辨分析扩展到多进小波的办法，本文也构造了一个具有双对称性、紧支撑集和高阶消失矩的4-进正交小波类。
By extending the theory of multi-resolution analysis to multi-bank wavelets, this paper also focuses on the study of 4-bank compactly supported bi-symmetric orthonormal wavelets.
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