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Identifier
Mp00105: Binary words —complement⟶ Binary words
Images
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=> 0=>1 1=>0 00=>11 01=>10 10=>01 11=>00 000=>111 001=>110 010=>101 011=>100 100=>011 101=>010 110=>001 111=>000 0000=>1111 0001=>1110 0010=>1101 0011=>1100 0100=>1011 0101=>1010 0110=>1001 0111=>1000 1000=>0111 1001=>0110 1010=>0101 1011=>0100 1100=>0011 1101=>0010 1110=>0001 1111=>0000 00000=>11111 00001=>11110 00010=>11101 00011=>11100 00100=>11011 00101=>11010 00110=>11001 00111=>11000 01000=>10111 01001=>10110 01010=>10101 01011=>10100 01100=>10011 01101=>10010 01110=>10001 01111=>10000 10000=>01111 10001=>01110 10010=>01101 10011=>01100 10100=>01011 10101=>01010 10110=>01001 10111=>01000 11000=>00111 11001=>00110 11010=>00101 11011=>00100 11100=>00011 11101=>00010 11110=>00001 11111=>00000 000000=>111111 000001=>111110 000010=>111101 000011=>111100 000100=>111011 000101=>111010 000110=>111001 000111=>111000 001000=>110111 001001=>110110 001010=>110101 001011=>110100 001100=>110011 001101=>110010 001110=>110001 001111=>110000 010000=>101111 010001=>101110 010010=>101101 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1001101=>0110010 1001110=>0110001 1001111=>0110000 1010000=>0101111 1010001=>0101110 1010010=>0101101 1010011=>0101100 1010100=>0101011 1010101=>0101010 1010110=>0101001 1010111=>0101000 1011000=>0100111 1011001=>0100110 1011010=>0100101 1011011=>0100100 1011100=>0100011 1011101=>0100010 1011110=>0100001 1011111=>0100000 1100000=>0011111 1100001=>0011110 1100010=>0011101 1100011=>0011100 1100100=>0011011 1100101=>0011010 1100110=>0011001 1100111=>0011000 1101000=>0010111 1101001=>0010110 1101010=>0010101 1101011=>0010100 1101100=>0010011 1101101=>0010010 1101110=>0010001 1101111=>0010000 1110000=>0001111 1110001=>0001110 1110010=>0001101 1110011=>0001100 1110100=>0001011 1110101=>0001010 1110110=>0001001 1110111=>0001000 1111000=>0000111 1111001=>0000110 1111010=>0000101 1111011=>0000100 1111100=>0000011 1111101=>0000010 1111110=>0000001 1111111=>0000000 00000000=>11111111 00000001=>11111110 00000010=>11111101 00000011=>11111100 00000100=>11111011 00000101=>11111010 00000110=>11111001 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01101111=>10010000 01110000=>10001111 01110001=>10001110 01110010=>10001101 01110011=>10001100 01110100=>10001011 01110101=>10001010 01110110=>10001001 01110111=>10001000 01111000=>10000111 01111001=>10000110 01111010=>10000101 01111011=>10000100 01111100=>10000011 01111101=>10000010 01111110=>10000001 01111111=>10000000 10000000=>01111111 10000001=>01111110 10000010=>01111101 10000011=>01111100 10000100=>01111011 10000101=>01111010 10000110=>01111001 10000111=>01111000 10001000=>01110111 10001001=>01110110 10001010=>01110101 10001011=>01110100 10001100=>01110011 10001101=>01110010 10001110=>01110001 10001111=>01110000 10010000=>01101111 10010001=>01101110 10010010=>01101101 10010011=>01101100 10010100=>01101011 10010101=>01101010 10010110=>01101001 10010111=>01101000 10011000=>01100111 10011001=>01100110 10011010=>01100101 10011011=>01100100 10011100=>01100011 10011101=>01100010 10011110=>01100001 10011111=>01100000 10100000=>01011111 10100001=>01011110 10100010=>01011101 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click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Send a binary word to the word obtained by interchanging the two letters.
Properties
bijective, graded, involutive
Sage code
def mapping(X):
    return Word([1-int(l) for l in X])
Weight
11
Created
Jan 29, 2020 at 13:25 by FindStatCrew
Updated
Jan 29, 2020 at 13:25 by Martin Rubey