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Strands crossing in order.
Also known as: Artin braid notation, Braid word
The notation writing a braid as a sequence of crossings between adjacent strands.
Records a braid as an ordered sequence of crossings between adjacent strands.
Contexts: Mathematics
Turns a physical object into a word in a group, so questions about whether two braids are the same become questions about whether two words are equal — the notation converts topology into algebra.
Contexts: Mathematics
Parallel vertical lines with crossings between neighbours, written left to right and read downward, each crossing recorded as a numbered generator with a sign.