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Identifier
Mp00105: Binary words complementBinary 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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111010010011011101001000=>000101101100100010110111 111010010011011011010000=>000101101100100100101111 111110100110100010010010=>000001011001011101101101 111101001101000100110100=>000010110010111011001011 111101001101000110100010=>000010110010111001011101 111010011010001110100100=>000101100101110001011011 111010011010001101101000=>000101100101110010010111 111101001110100100010010=>000010110001011011101101 111010011101001000110100=>000101100010110111001011 111010011110100100100010=>000101100001011011011101 110100111110100100100100=>001011000001011011011011 110100111101001001101000=>001011000010110110010111 111010011101001101000010=>000101100010110010111101 110100111101001101000100=>001011000010110010111011 110100111010011101001000=>001011000101100010110111 110100111010011011010000=>001011000101100100101111 111101001101101000010010=>000010110010010111101101 111010011011010000110100=>000101100100101111001011 111010011101101000100010=>000101100010010111011101 110100111101101000100100=>001011000010010111011011 110100111011010001101000=>001011000100101110010111 111010011011101001000010=>000101100100010110111101 110100111011101001000100=>001011000100010110111011 110100110111101001001000=>001011001000010110110111 110100110111010011010000=>001011001000101100101111 111010011011011010000010=>000101100100100101111101 110100111011011010000100=>001011000100100101111011 110100110111011010001000=>001011001000100101110111 110100110110111010010000=>001011001001000101101111 110100110110110110100000=>001011001001001001011111 111110110100010010010010=>000001001011101101101101 111101101000100100110100=>000010010111011011001011 111101101000100110100010=>000010010111011001011101 111011010001001110100100=>000100101110110001011011 111011010001001101101000=>000100101110110010010111 111101101000110100010010=>000010010111001011101101 111011010001101000110100=>000100101110010111001011 111011010001110100100010=>000100101110001011011101 110110100011110100100100=>001001011100001011011011 110110100011101001101000=>001001011100010110010111 111011010001101101000010=>000100101110010010111101 110110100011101101000100=>001001011100010010111011 110110100011011101001000=>001001011100100010110111 110110100011011011010000=>001001011100100100101111 111101110100100010010010=>000010001011011101101101 111011101001000100110100=>000100010110111011001011 111011101001000110100010=>000100010110111001011101 110111010010001110100100=>001000101101110001011011 110111010010001101101000=>001000101101110010010111 111011110100100100010010=>000100001011011011101101 110111101001001000110100=>001000010110110111001011 110111110100100100100010=>001000001011011011011101 101111110100100100100100=>010000001011011011011011 101111101001001001101000=>010000010110110110010111 110111101001001101000010=>001000010110110010111101 101111101001001101000100=>010000010110110010111011 101111010010011101001000=>010000101101100010110111 101111010010011011010000=>010000101101100100101111 111011101001101000010010=>000100010110010111101101 110111010011010000110100=>001000101100101111001011 110111101001101000100010=>001000010110010111011101 101111101001101000100100=>010000010110010111011011 101111010011010001101000=>010000101100101110010111 110111010011101001000010=>001000101100010110111101 101111010011101001000100=>010000101100010110111011 101110100111101001001000=>010001011000010110110111 101110100111010011010000=>010001011000101100101111 110111010011011010000010=>001000101100100101111101 101111010011011010000100=>010000101100100101111011 101110100111011010001000=>010001011000100101110111 101110100110111010010000=>010001011001000101101111 101110100110110110100000=>010001011001001001011111 111101101101000010010010=>000010010010111101101101 111011011010000100110100=>000100100101111011001011 111011011010000110100010=>000100100101111001011101 110110110100001110100100=>001001001011110001011011 110110110100001101101000=>001001001011110010010111 111011101101000100010010=>000100010010111011101101 110111011010001000110100=>001000100101110111001011 110111101101000100100010=>001000010010111011011101 101111101101000100100100=>010000010010111011011011 101111011010001001101000=>010000100101110110010111 110111011010001101000010=>001000100101110010111101 101111011010001101000100=>010000100101110010111011 101110110100011101001000=>010001001011100010110111 101110110100011011010000=>010001001011100100101111 111011011101001000010010=>000100100010110111101101 110110111010010000110100=>001001000101101111001011 110111011101001000100010=>001000100010110111011101 101111011101001000100100=>010000100010110111011011 101110111010010001101000=>010001000101101110010111 110110111101001001000010=>001001000010110110111101 101110111101001001000100=>010001000010110110111011 101101111101001001001000=>010010000010110110110111 101101111010010011010000=>010010000101101100101111 110110111010011010000010=>001001000101100101111101 101110111010011010000100=>010001000101100101111011 101101111010011010001000=>010010000101100101110111 101101110100111010010000=>010010001011000101101111 101101110100110110100000=>010010001011001001011111 111011011011010000010010=>000100100100101111101101 110110110110100000110100=>001001001001011111001011 110111011011010000100010=>001000100100101111011101 101111011011010000100100=>010000100100101111011011 101110110110100001101000=>010001001001011110010111 110110111011010001000010=>001001000100101110111101 101110111011010001000100=>010001000100101110111011 101101111011010001001000=>010010000100101110110111 101101110110100011010000=>010010001001011100101111 110110110111010010000010=>001001001000101101111101 101110110111010010000100=>010001001000101101111011 101101110111010010001000=>010010001000101101110111 101101101111010010010000=>010010010000101101101111 101101101110100110100000=>010010010001011001011111 110110110110110100000010=>001001001001001011111101 101110110110110100000100=>010001001001001011111011 101101110110110100001000=>010010001001001011110111 101101101110110100010000=>010010010001001011101111 101101101101110100100000=>010010010010001011011111 101101101101101101000000=>010010010010010010111111 100001001001001001000010=>011110110110110110111101 110111111111100000000000=>001000000000011111111111 111111111110000000000100=>000000000001111111111011 1000000100001001000010010000100000010=>0111111011110110111101101111011111101
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])

Created
Jan 29, 2020 at 13:25 by FindStatCrew
Updated
Jan 29, 2020 at 13:25 by Martin Rubey