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Identifier
Mp00104: Binary words —reverse⟶ Binary words
Images
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=> 0=>0 1=>1 00=>00 01=>10 10=>01 11=>11 000=>000 001=>100 010=>010 011=>110 100=>001 101=>101 110=>011 111=>111 0000=>0000 0001=>1000 0010=>0100 0011=>1100 0100=>0010 0101=>1010 0110=>0110 0111=>1110 1000=>0001 1001=>1001 1010=>0101 1011=>1101 1100=>0011 1101=>1011 1110=>0111 1111=>1111 00000=>00000 00001=>10000 00010=>01000 00011=>11000 00100=>00100 00101=>10100 00110=>01100 00111=>11100 01000=>00010 01001=>10010 01010=>01010 01011=>11010 01100=>00110 01101=>10110 01110=>01110 01111=>11110 10000=>00001 10001=>10001 10010=>01001 10011=>11001 10100=>00101 10101=>10101 10110=>01101 10111=>11101 11000=>00011 11001=>10011 11010=>01011 11011=>11011 11100=>00111 11101=>10111 11110=>01111 11111=>11111 000000=>000000 000001=>100000 000010=>010000 000011=>110000 000100=>001000 000101=>101000 000110=>011000 000111=>111000 001000=>000100 001001=>100100 001010=>010100 001011=>110100 001100=>001100 001101=>101100 001110=>011100 001111=>111100 010000=>000010 010001=>100010 010010=>010010 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101110110110110100000100=>001000001011011011011101 101110110111010010000100=>001000010010111011011101 101110111010011010000100=>001000010110010111011101 101110111011010001000100=>001000100010110111011101 101110111101001001000100=>001000100100101111011101 101111010011011010000100=>001000010110110010111101 101111010011101001000100=>001000100101110010111101 101111011010001101000100=>001000101100010110111101 101111101001001101000100=>001000101100100101111101 101111011011010000100100=>001001000010110110111101 101111011101001000100100=>001001000100101110111101 101111101001101000100100=>001001000101100101111101 101111101101000100100100=>001001001000101101111101 101111110100100100100100=>001001001001001011111101 110100110110110110100000=>000001011011011011001011 110100110110111010010000=>000010010111011011001011 110100110111010011010000=>000010110010111011001011 110100110111011010001000=>000100010110111011001011 110100110111101001001000=>000100100101111011001011 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111011011010000100110100=>001011001000010110110111 111011101001000100110100=>001011001000100101110111 111101001101000100110100=>001011001000101100101111 111101101000100100110100=>001011001001000101101111 111110100100100100110100=>001011001001001001011111 110110110110110100000010=>010000001011011011011011 110110110111010010000010=>010000010010111011011011 110110111010011010000010=>010000010110010111011011 110110111011010001000010=>010000100010110111011011 110110111101001001000010=>010000100100101111011011 110111010011011010000010=>010000010110110010111011 110111010011101001000010=>010000100101110010111011 110111011010001101000010=>010000101100010110111011 110111101001001101000010=>010000101100100101111011 110111011011010000100010=>010001000010110110111011 110111011101001000100010=>010001000100101110111011 110111101001101000100010=>010001000101100101111011 110111101101000100100010=>010001001000101101111011 110111110100100100100010=>010001001001001011111011 111010011011011010000010=>010000010110110110010111 111010011011101001000010=>010000100101110110010111 111010011101001101000010=>010000101100101110010111 111010011101101000100010=>010001000101101110010111 111010011110100100100010=>010001001001011110010111 111011010001101101000010=>010000101101100010110111 111011010001110100100010=>010001001011100010110111 111101001001101101000010=>010000101101100100101111 111101001001110100100010=>010001001011100100101111 111011011010000110100010=>010001011000010110110111 111011101001000110100010=>010001011000100101110111 111101001101000110100010=>010001011000101100101111 111101101000100110100010=>010001011001000101101111 111110100100100110100010=>010001011001001001011111 111011011011010000010010=>010010000010110110110111 111011011101001000010010=>010010000100101110110111 111011101001101000010010=>010010000101100101110111 111011101101000100010010=>010010001000101101110111 111011110100100100010010=>010010001001001011110111 111101001101101000010010=>010010000101101100101111 111101001110100100010010=>010010001001011100101111 111101101000110100010010=>010010001011000101101111 111110100100110100010010=>010010001011001001011111 111101101101000010010010=>010010010000101101101111 111101110100100010010010=>010010010001001011101111 111110100110100010010010=>010010010001011001011111 111110110100010010010010=>010010010010001011011111 111111010010010010010010=>010010010010010010111111 111111111110000000000100=>001000000000011111111111 110111111111100000000000=>000000000001111111111011 11111111111111111111111100000=>00000111111111111111111111111
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Return the reversal of a binary word.
Properties
bijective, graded, involutive
Sage code
def mapping(X):
    return X.reversal()
Weight
11
Created
Jan 29, 2020 at 13:26 by FindStatCrew
Updated
Jan 29, 2020 at 13:26 by Martin Rubey