SignWord

The signs as a binary word: letter i is 1 when entry i is negative.

FindStatMp00267via SignedPermutation↗

SignWord(SignedPermutation)The signs as a binary word: letter i is 1 when entry i is negative.

Typed signatures

Type	Package	Applies
(signed_permutation) -> binary_word	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a SignedPermutation and returns a BinaryWord — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00267. Lossy: the absolute values are forgotten.

Examples

Basic #

the signed permutation $2\,\bar 3\,1$

live ↗

In$\mathrm{SignWord}({\operatorname{SignedPermutation}}([2, -3, 1]))$Out${\operatorname{BinaryWord}}([0, 1, 0])$

About

Examples	1
Crosswalk	FindStat