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Describing the similarity of time series as distance is the basis for most of data mining research. Existing studies on similarity distance is based on the "point distance" without considering the geometric characteristics of time series, or is not a metric distance which doesn't meet the triangle inequality and can't be directly used in indexing and searching process. A method for time series approximation representation and similar measurement is proposed. Based on the subspace analysisdoi:10.12785/amis/071l29 fatcat:2v2vsse5drar5ofdu53kxvjcl4