The original and amplitude permutations are two basic ordinal patterns; however, their relationship has received little attention. This paper compares the original and amplitude permutations used to characterize vector structures. To accurately convey the vector structure, we modify indexes of equal values in the permutations to be the same ones in each group of equalities. Comparative analysis suggests that the amplitude permutation, comprising the positions of the original values in the reordered vector, directly reflects the vector's temporal structure, whereas the original permutation, consisting of the indexes of reorganized values in the original vector, conveys the structural pattern of the reorganized vector. Moreover, we clarify the association of the original and amplitude permutations with timeand amplitude-symmetric vectors, thus contributing to the fields of symbolic analysis, topological data analysis, and so on.

翻译：原始的和振幅的变异是两种基本形态; 但是,它们之间的关系没有受到多少注意。 本文比较了用于描述矢量结构的原始和振幅变异。 为了准确地传达矢量结构, 我们修改各组等同体中等值的等值指数。 比较分析表明, 由重新排序的矢量中原值位置组成的振动变异直接反映了矢量的时间结构, 而由原矢量重组值指数组成的原始变异则传达了重新组合的矢量的结构模式。 此外, 我们澄清了原始和振动变异与时间和振幅对称矢量的关联, 从而有助于符号分析、 地形数据分析等领域等等。