File:CollatzConjectureGraphMaxValues.jpg
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Summary
| Description |
English: The horizontal axis is a starting value n. The vertical axis represents the max value reached, following the collatz conjecture rule (n%2==0)?n/2:n*3+1, in the "chain" to one. Created using the following Mathematica code
Clear[maxList, nMax, n, nLooper]
n = 1;
maxList = {};
goTo = 10000;
While[n <= goTo,
nLooper = n;
nMax = n;
While[nLooper > 1,
If[nLooper > nMax, nMax = nLooper]
If[Mod[nLooper, 2] == 0,
nLooper = nLooper / 2,
nLooper = nLooper * 3 + 1
]
];
maxList = Join[maxList, {nMax}];
n++;
]
ListPlot[maxList, AspectRatio -> 2]
(end of listing) |
| Date | |
| Source | Personal Work, Created using Wolfram Mathematica software version 7.0.1.0 |
| Author | Ryan McNamara |
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 00:09, 8 August 2011 | | 437 × 818 (66 KB) | wikimediacommons>Ryanmcnamara10132 | {{Information |Description ={{en|1=The horizontal axis is a starting value n. The vertical axis represents the max value reached, following the collatz conjecture rule (n%2==0)?n/2:n*3+1, in the "chain" to one. Created using the following Mathematica c |
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