ValleysToPeaks

Every valley 01 swapped for a peak 10, and a trailing 0 made a 1.

FindStatMp00234via BinaryWord↗

ValleysToPeaks(BinaryWord)Every valley 01 swapped for a peak 10, and a trailing 0 made a 1.

Typed signatures

Type	Package	Applies
(binary_word) -> binary_word	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a BinaryWord and returns a BinaryWord — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00234. Lossy: 01 and 10 both give 10.

Examples

Basic #

the binary word $01100$

live ↗

In$\mathrm{ValleysToPeaks}({\operatorname{BinaryWord}}([0, 1, 1, 0, 0]))$Out${\operatorname{BinaryWord}}([1, 0, 1, 0, 1])$

About

Examples	1
Crosswalk	FindStat