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Identifier
Mp00200: Binary words —twist⟶ Binary words
Images
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10000000000000000001=>00000000000000000001 11111010101011000000=>01111010101011000000 11111100101010100000=>01111100101010100000 11110101010101100000=>01110101010101100000 11111001010101010000=>01111001010101010000 11111110111000000000=>01111110111000000000 11111101111000000000=>01111101111000000000 11111011111000000000=>01111011111000000000 11110111111000000000=>01110111111000000000 11101111111000000000=>01101111111000000000 11101010101010100100=>01101010101010100100 1111111111000000000010=>0111111111000000000010 1011111111110000000000=>0011111111110000000000 0000000000111111111101=>1000000000111111111101 0100000000001111111111=>1100000000001111111111 1101010101010101010100=>0101010101010101010100 1010101010101010101100=>0010101010101010101100 1111111111001000000000=>0111111111001000000000 1111111111010000000000=>0111111111010000000000 1010101010101010110100=>0010101010101010110100 1111111110110000000000=>0111111110110000000000 1010101010010101010111=>0010101010010101010111 1110101010100101010101=>0110101010100101010101 1100101010101010101010=>0100101010101010101010 1111111111000000000100=>0111111111000000000100 1111101010101011000000=>0111101010101011000000 1111110010101010100000=>0111110010101010100000
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Return the binary word with first letter inverted.
Properties
bijective, graded, involutive
Sage code
def mapping(w):
    if w:
        return Words([0,1], len(w))([1-w[0]] + list(w[1:]))
Weight
26
Created
Dec 06, 2020 at 19:36 by Martin Rubey
Updated
Oct 14, 2024 at 22:53 by Nadia Lafreniere