Pairwise Order of a Sequence of Elements
3 days ago
- #measure of disorder
- #discrete derivative
- #pairwise order
- Pairwise order is defined as the sequence of signs of differences between adjacent elements in a sequence.
- It simplifies the analysis of disorder measures by reducing the problem to changes in -1, 0, and 1 values.
- Measures like Amp, Runs, and Mono can be redefined using pairwise order, handling sequences with equal elements.
- Pairwise order has properties such as size being one less than the original sequence and relationships with sorted or reversed sequences.
- The concept reduces the complexity of comparing measures of disorder by focusing on unique elements and ignoring zeros in pairwise order.