File:Not Zipf's law.png
Original file (1,440 × 1,080 pixels, file size: 69 KB, MIME type: image/png)
Captions
Captions
Summary
edit
| Description |
Starting with an array of exactly 1,000,000 ones and picking 2 at random and combining them until only 100 are left results in the distribution above. I ran it 10,000 times and this is the total. The results do NOT match Zipf's law (yellow line of dots). Some additional process must be invoked to explain Zipf's law. |
| Date | |
| Source | Own work |
| Author |
I, the copyright holder of this work, hereby publish it under the following license: |
See the talk page for the python program I used.
The final 100 are: [515963806, 417978546, 368326560, 335660577, 310710353, 290408181, 273737639, 259382599, 246791350, 235878264, 225995382, 217011882, 208529530, 200825711, 193560640, 186811905, 180550129, 174725734, 169201752, 163966022, 159078306, 154279139, 149735089, 145331963, 141153653, 137194593, 133400106, 129694515, 126082471, 122605013, 119237227, 116029884, 112913253, 109916968, 106967717, 104137185, 101369690, 98677861, 96057852, 93464249, 90967584, 88527148, 86146107, 83850861, 81576852, 79391752, 77186576, 75087404, 72974314, 70901958, 68889922, 66890635, 64983248, 63108970, 61236012, 59451649, 57636117, 55850816, 54122705, 52398983, 50742081, 49110305, 47506375, 45924940, 44373240, 42842713, 41337982, 39845353, 38383430, 36948797, 35516511, 34094866, 32688897, 31293192, 29961210, 28617819, 27300967, 26002734, 24726336, 23445350, 22196002, 20976906, 19748966, 18530094, 17350336, 16170660, 14999439, 13863940, 12728964, 11599740, 10486771, 9385287, 8296899, 7214707, 6141430, 5081667, 4040997, 3006735, 1995799, 998654]
The first 5 approximately follow 1/x^(0.313) but then it quickly diverges.
Licensing
edit
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:41, 21 September 2018 | | 1,440 × 1,080 (69 KB) | Just granpa (talk | contribs) | Larger image that will resize more gracefully. |
| 01:47, 19 September 2018 |  | 640 × 480 (36 KB) | Just granpa (talk | contribs) | Added yellow line to show where Zipfs law says it should be | |
| 01:39, 19 September 2018 |  | 640 × 480 (35 KB) | Just granpa (talk | contribs) | Better data. This time I ran it 1000 times and added up all the values | |
| 06:23, 17 September 2018 |  | 640 × 480 (35 KB) | Just granpa (talk | contribs) | Updated to 100,000,000 | |
| 06:14, 17 September 2018 |  | 640 × 480 (32 KB) | Just granpa (talk | contribs) | Starting with 1,000,000 ones and picking any 2 at random and combining them until only 100 are left results in the distribution above. The results do NOT match Zipf's law. Some additional process must be invoked to explain Zipf's law. |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
