A1133050: added description for calculating probability

2009-08-17T05:26:41Z

added description for calculating probability

← Older revision		Revision as of 14:56, 17 August 2009
Line 1:		Line 1:
	The following table is a raw count of transitions (from 1984 by George Orwell) within a single word. ie. in the phrase "hi there" the pairs counted are 'HI' 'TH' 'HE' 'ER' 'RE' ('IT' is NOT counted as it is not within a single word).		The following table is a raw count of transitions (from 1984 by George Orwell) within a single word. ie. in the phrase "hi there" the pairs counted are 'HI' 'TH' 'HE' 'ER' 'RE' ('IT' is NOT counted as it is not within a single word).

	A transition from 'O' to 'D' is counted in row 'O' and column 'D'. ~~This means that to~~ find the probability of transition to letter 'D' given letter 'T' (ie. the pair 'TD' within a single word) we would find the value in row 'T' column 'D' (2 in this case) and divide it by the sum of the elements in the row 'T' (1405 + 12 + 147 + etcetera)		A transition from 'O' to 'D' is counted in row 'O' and column 'D'.

			To find the probability of transition to letter 'D' given letter 'T' (ie. the pair 'TD' within a single word) we would find the value in row 'T' column 'D' (2 in this case) and divide it by the sum of the elements in the row 'T' (1405 + 12 + 147 + etcetera)

			However, to find the probability of a certain pair appearing in the text (as opposed to any other pair possibility) then we (once again) find the value in row 'T' column 'D' (for the pair 'TD') and then divide by the sum total of all of the elements in the table (not just in the same row as above).

A1133050: dumped count and wrote description

2009-08-17T05:21:06Z

dumped count and wrote description

New page

The following table is a raw count of transitions (from 1984 by George Orwell) within a single word. ie. in the phrase "hi there" the pairs counted are 'HI' 'TH' 'HE' 'ER' 'RE' ('IT' is NOT counted as it is not within a single word).

A transition from 'O' to 'D' is counted in row 'O' and column 'D'. This means that to find the probability of transition to letter 'D' given letter 'T' (ie. the pair 'TD' within a single word) we would find the value in row 'T' column 'D' (2 in this case) and divide it by the sum of the elements in the row 'T' (1405 + 12 + 147 + etcetera)

{| border="1" cellspacing="0" cellpadding="5" align="center"
!
!A
!B
!C
!D
!E
!F
!G
!H
!I
!J
!K
!L
!M
!N
!O
!P
!Q
!R
!S
!T
!U
!V
!W
!X
!Y
!Z
|-
|A
|10
|898
|1516
|2186
|17
|224
|837
|21
|1538
|11
|551
|3120
|741
|6006
|9
|867
|3
|3654
|4416
|4633
|311
|700
|271
|20
|927
|53
|-
|B
|463
|97
|0
|3
|2606
|0
|0
|0
|288
|53
|0
|1051
|12
|1
|831
|0
|0
|635
|95
|33
|850
|26
|0
|0
|471
|0
|-
|C
|1349
|0
|190
|2
|2091
|0
|0
|1733
|554
|0
|728
|381
|0
|0
|2260
|0
|6
|615
|22
|995
|364
|0
|0
|0
|60
|0
|-
|D
|470
|7
|5
|226
|2115
|13
|76
|17
|1366
|14
|0
|212
|23
|62
|990
|1
|0
|321
|596
|17
|250
|25
|13
|0
|256
|0
|-
|E
|2881
|66
|1219
|4903
|2134
|504
|219
|111
|556
|5
|80
|1955
|1434
|5171
|221
|532
|77
|7575
|3640
|1522
|104
|1341
|529
|626
|896
|18
|-
|F
|672
|3
|3
|0
|889
|463
|0
|0
|769
|0
|0
|298
|0
|1
|1438
|0
|0
|726
|19
|295
|331
|0
|0
|0
|25
|0
|-
|G
|596
|0
|0
|0
|1178
|0
|111
|1283
|470
|0
|0
|250
|22
|123
|484
|0
|0
|482
|232
|45
|286
|0
|0
|0
|37
|0
|-
|H
|5077
|7
|0
|0
|13695
|17
|0
|0
|4065
|0
|0
|23
|17
|24
|1879
|2
|1
|319
|49
|866
|286
|0
|6
|0
|177
|0
|-
|I
|664
|298
|1830
|1357
|1112
|714
|913
|8
|8
|0
|289
|1322
|1664
|9708
|1398
|242
|18
|995
|3371
|4648
|22
|627
|0
|82
|0
|179
|-
|J
|22
|0
|0
|0
|100
|0
|0
|0
|0
|0
|0
|0
|0
|0
|84
|0
|0
|0
|0
|0
|250
|0
|0
|0
|0
|0
|-
|K
|40
|15
|2
|1
|1109
|4
|4
|2
|537
|0
|0
|58
|2
|424
|2
|3
|0
|0
|133
|0
|15
|0
|34
|0
|26
|0
|-
|L
|1317
|13
|24
|1524
|3168
|347
|7
|0
|2261
|0
|118
|2430
|166
|6
|1322
|64
|1
|74
|423
|372
|321
|91
|154
|0
|1965
|0
|-
|M
|1406
|362
|1
|0
|3192
|14
|0
|0
|1029
|0
|0
|8
|206
|28
|1237
|638
|0
|69
|283
|5
|363
|0
|1
|0
|155
|0
|-
|N
|552
|19
|967
|4295
|2957
|138
|4333
|19
|993
|12
|312
|354
|34
|220
|2350
|14
|44
|16
|1770
|3004
|236
|119
|25
|7
|450
|5
|-
|O
|144
|430
|505
|587
|76
|3716
|231
|18
|342
|4
|427
|1180
|1990
|5162
|1155
|639
|0
|3831
|965
|2031
|5134
|626
|1592
|47
|93
|21
|-
|P
|1228
|0
|0
|0
|1682
|2
|0
|177
|461
|0
|0
|785
|8
|17
|991
|588
|0
|957
|211
|340
|309
|0
|3
|0
|48
|0
|-
|Q
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|409
|0
|0
|0
|0
|0
|-
|R
|1596
|45
|181
|736
|6480
|99
|225
|146
|2109
|0
|286
|347
|397
|421
|2298
|93
|0
|476
|1316
|1351
|537
|103
|74
|1
|1067
|0
|-
|S
|1131
|8
|469
|8
|2703
|41
|15
|1332
|1633
|0
|113
|342
|259
|98
|1380
|657
|38
|3
|1386
|4134
|750
|0
|150
|0
|148
|0
|-
|T
|1405
|12
|147
|2
|3670
|20
|1
|14399
|2808
|0
|0
|520
|53
|19
|4163
|11
|0
|1354
|901
|737
|694
|0
|348
|0
|917
|0
|-
|U
|415
|267
|455
|196
|390
|65
|815
|0
|261
|0
|0
|1647
|359
|1290
|44
|600
|0
|1752
|1389
|2037
|0
|15
|0
|8
|12
|6
|-
|V
|299
|0
|0
|0
|3138
|0
|0
|0
|534
|0
|0
|0
|0
|1
|291
|0
|0
|3
|0
|0
|4
|0
|0
|0
|35
|0
|-
|W
|3469
|0
|0
|39
|1650
|2
|0
|1947
|1995
|0
|6
|57
|0
|451
|1242
|0
|0
|175
|169
|2
|2
|0
|0
|0
|6
|0
|-
|X
|81
|0
|106
|0
|55
|1
|0
|10
|147
|0
|0
|1
|0
|0
|1
|113
|1
|0
|0
|136
|22
|0
|3
|0
|16
|0
|-
|Y
|28
|20
|8
|14
|536
|3
|1
|5
|165
|1
|0
|33
|72
|10
|1346
|22
|0
|34
|374
|144
|0
|5
|31
|0
|0
|0
|-
|Z
|36
|0
|0
|0
|177
|0
|0
|0
|40
|0
|0
|9
|0
|0
|20
|0
|0
|0
|0
|0
|1
|2
|0
|0
|5
|15
|}

Transitions within words - Revision history

A1133050: added description for calculating probability

A1133050: dumped count and wrote description