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左右移位是伪逆

本文探讨了左右移位算子之间的关系,指出它们互为伪逆(pseudoinverses)。作者通过数学分析解释了这一性质如何影响信号处理与线性代数中的实际应用。

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  • The post explores the concept of the inverse of a right shift operation on a binary sequence. While intuitively the inverse is a left shift, the author explains that this does not fully recover the original sequence because the bit that falls off the end is lost, making the operation not perfectly reversible without additional information.