
информатика / Razd_mat_kol_inf
.pdf
Количество информации i в одном из N равновероятных событий: i=log2N
|
N |
i |
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N |
i |
|
N |
i |
|
N |
|
i |
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|
|
|
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|
|
|
|
|
|
|
1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
|
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
|
5,6439 |
|
|
3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
|
5,6724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
|
5,7004 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
|
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
|
5,7549 |
|
|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
|
5,7814 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
|
5,8074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
|
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
|
5,8580 |
|
|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
|
5,8826 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
|
5,9069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
|
5,9307 |
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|
|
|
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|
|
|
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|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
|
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
|
5,9773 |
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|
|
|
|
|
|
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|
|
|
|
|
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|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
|
6,0000 |
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Количество информации i в одном из N |
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равновероятных событий: i=log2N |
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N |
i |
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N |
i |
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N |
i |
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N |
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i |
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1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
|
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
|
5,6439 |
|
|
|
|
|
|
|
|
|
|
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3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
|
5,6724 |
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|
|
|
|
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|
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4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
|
5,7004 |
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
|
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
|
5,7549 |
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|
|
|
|
|
|
|
|
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|
|
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|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
|
5,7814 |
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|
|
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|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
|
5,8074 |
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|
|
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|
|
|
|
|
|
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|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
|
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
|
5,8580 |
|
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|
|
|
|
|
|
|
|
|
|
|
|
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|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
|
5,8826 |
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|
|
|
|
|
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|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
|
5,9069 |
|
|
|
|
|
|
|
|
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|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
|
5,9307 |
|
|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
|
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
|
5,9773 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
|
6,0000 |
|
|
|
|
|
|
|
|
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Количество информации i в одном из N равновероятных событий: i=log2N
|
N |
i |
|
N |
i |
|
N |
i |
|
N |
i |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
5,6439 |
|
|
3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
5,6724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
5,7004 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
5,7549 |
|
|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
5,7814 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
5,8074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
5,8580 |
|
|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
5,8826 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
5,9069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
5,9307 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
5,9773 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
6,0000 |
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Количество информации i в одном из N |
|
|||||||||
|
|
равновероятных событий: i=log2N |
|
|
||||||||
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N |
i |
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N |
i |
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N |
i |
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N |
i |
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|
|
|
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|
|
1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
5,6439 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
5,6724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
5,7004 |
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
5,7549 |
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|
|
|
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|
|
|
|
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|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
5,7814 |
|
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|
|
|
|
|
|
|
|
|
|
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|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
5,8074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
5,8580 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
5,8826 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
5,9069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
5,9307 |
|
|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
5,9773 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
6,0000 |
|
|
|
|
|
|
|
|
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Количество информации i в одном из N равновероятных событий: i=log2N
|
N |
i |
|
N |
i |
|
N |
i |
|
N |
|
i |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
|
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
|
5,6439 |
|
|
3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
|
5,6724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
|
5,7004 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
|
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
|
5,7549 |
|
|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
|
5,7814 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
|
5,8074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
|
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
|
5,8580 |
|
|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
|
5,8826 |
|
|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
|
5,9069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
|
5,9307 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
|
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
|
5,9773 |
|
|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
|
6,0000 |
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Количество информации i в одном из N |
|
||||||||||
|
|
равновероятных событий: i=log2N |
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|||||||||
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N |
i |
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N |
i |
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N |
i |
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N |
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i |
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|
1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
|
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
|
5,6439 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
|
5,6724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
|
5,7004 |
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
|
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
|
5,7549 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
|
5,7814 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
|
5,8074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
|
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
|
5,8580 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
|
5,8826 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
|
5,9069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
|
5,9307 |
|
|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
|
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
|
5,9773 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
|
6,0000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Количество информации i в одном из N равновероятных событий: i=log2N
|
N |
i |
|
N |
i |
|
N |
i |
|
N |
i |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
5,6439 |
|
|
3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
5,6724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
5,7004 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
5,7549 |
|
|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
5,7814 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
5,8074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
5,8580 |
|
|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
5,8826 |
|
|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
5,9069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
5,9307 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
5,9773 |
|
|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
6,0000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Количество информации i в одном из N |
|
|||||||||
|
|
равновероятных событий: i=log2N |
|
|
||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
N |
i |
|
N |
i |
|
N |
i |
|
N |
i |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
0,0000 |
|
17 |
4,0875 |
|
33 |
5,0444 |
|
49 |
5,6147 |
|
|
2 |
1,0000 |
|
18 |
4,1699 |
|
34 |
5,0875 |
|
50 |
5,6439 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1,5850 |
|
19 |
4,2479 |
|
35 |
5,1293 |
|
51 |
5,6724 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
2,0000 |
|
20 |
4,3219 |
|
36 |
5,1699 |
|
52 |
5,7004 |
|
|
5 |
2,3219 |
|
21 |
4,3923 |
|
37 |
5,2095 |
|
53 |
5,7279 |
|
|
6 |
2,5850 |
|
22 |
4,4594 |
|
38 |
5,2479 |
|
54 |
5,7549 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
2,8074 |
|
23 |
4,5236 |
|
39 |
5,2854 |
|
55 |
5,7814 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3,0000 |
|
24 |
4,5850 |
|
40 |
5,3219 |
|
56 |
5,8074 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
3,1699 |
|
25 |
4,6439 |
|
41 |
5,3576 |
|
57 |
5,8329 |
|
|
10 |
3,3219 |
|
26 |
4,7004 |
|
42 |
5,3923 |
|
58 |
5,8580 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
3,4594 |
|
27 |
4,7549 |
|
43 |
5,4263 |
|
59 |
5,8826 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
3,5850 |
|
28 |
4,8074 |
|
44 |
5,4594 |
|
60 |
5,9069 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
3,7004 |
|
29 |
4,8580 |
|
45 |
5,4919 |
|
61 |
5,9307 |
|
|
14 |
3,8074 |
|
30 |
4,9069 |
|
46 |
5,5236 |
|
62 |
5,9542 |
|
|
15 |
3,9069 |
|
31 |
4,9542 |
|
47 |
5,5546 |
|
63 |
5,9773 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
4,0000 |
|
32 |
5,0000 |
|
48 |
5,5850 |
|
64 |
6,0000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|