Identifier
- St000390: Binary words ⟶ ℤ
Values
=>
0=>0
1=>1
00=>0
01=>1
10=>1
11=>1
000=>0
001=>1
010=>1
011=>1
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110=>1
111=>1
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011011011000=>3
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011100100101=>4
011100101001=>4
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011100110001=>3
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011101000101=>4
011101000110=>3
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011101001100=>3
011101010001=>4
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100111011000=>3
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001011100110=>3
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100101011001=>5
100101100101=>5
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100101110001=>4
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101001101001=>5
101010011001=>5
101010100101=>6
101010101001=>6
101010110001=>5
101011001001=>5
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101100101001=>5
101101000101=>5
101101001001=>5
101101010001=>5
101110001001=>4
101110100001=>4
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110001011001=>4
110001100101=>4
110001101001=>4
110001110001=>3
110010010101=>5
110010011001=>4
110010100101=>5
110010101001=>5
110010110001=>4
110011000101=>4
110011001001=>4
110011010001=>4
110011100001=>3
110100010101=>5
110100011001=>4
110100100101=>5
110100101001=>5
110100110001=>4
110101000101=>5
110101001001=>5
110101010001=>5
110101100001=>4
110110000101=>4
110110001001=>4
110110010001=>4
110110100001=>4
110111000001=>3
111000010101=>4
111000101001=>4
111001000101=>4
111001001001=>4
111001010001=>4
111010001001=>4
111010100001=>4
111100000101=>3
111100001001=>3
111100010001=>3
111100100001=>3
111101000001=>3
10110111100000=>3
10111011010000=>4
10111011100000=>3
10111100110000=>3
10111101001000=>4
10111101010000=>4
10111101100000=>3
10111110000100=>3
10111110001000=>3
10111110010000=>3
10111110100000=>3
10111111000000=>2
11001111100000=>2
11011110000010=>3
11101101000010=>4
11101110000010=>3
11110011000010=>3
11110100100010=>4
11110101000010=>4
11110110000010=>3
11111000001100=>2
11111000010010=>3
11111000100010=>3
11111001000010=>3
11111010000010=>3
11111100000010=>2
1011110111000000=>3
1011111010100000=>4
1011111011000000=>3
1011111100010000=>3
1011111100100000=>3
1011111101000000=>3
1011111110000000=>2
1111011100000010=>3
1111101010000010=>4
1111101100000010=>3
1111110001000010=>3
1111110010000010=>3
1111110100000010=>3
1111111000000010=>2
111111110000000010=>2
101111111100000000=>2
111111101000000010=>3
101111111010000000=>3
111111100100000010=>3
111111011000000010=>3
101111111001000000=>3
101111110110000000=>3
11111111100000000010=>2
10111111111000000000=>2
11111111010000000010=>3
10111111110100000000=>3
1111111111000000000010=>2
1011111111110000000000=>2
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Description
The number of runs of ones in a binary word.
Code
def statistic(w): if len(w) == 0: return 0 if w[0] == 1: c = Composition(w.delta())[::2] else: c = Composition(w.delta())[1::2] return len(c)
Created
Feb 12, 2016 at 21:44 by Martin Rubey
Updated
Dec 30, 2017 at 21:52 by Martin Rubey
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