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Identifier

Mp00104: Binary words —reverse⟶ Binary words

Images

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

010011 => 110010

010100 => 001010

010101 => 101010

010110 => 011010

010111 => 111010

011000 => 000110

011001 => 100110

011010 => 010110

011011 => 110110

011100 => 001110

011101 => 101110

011110 => 011110

011111 => 111110

100000 => 000001

100001 => 100001

100010 => 010001

100011 => 110001

100100 => 001001

100101 => 101001

>>> Load all 9706 entries. <<<

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

Created

Jan 29, 2020 at 13:26 by FindStatCrew

Updated

Jan 29, 2020 at 13:26 by Martin Rubey