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Exploring the ratio between the count of x/2 and the count of (3*x+1)/2 in original dynamics for extremely large starting integers asymptotically

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IEEE2018-10-12 更新2026-04-17 收录
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https://ieee-dataport.org/documents/exploring-ratio-between-count-x2-and-count-3x12-original-dynamics-extremely-large-starting
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We design a computer program that can randomly generate extremely large integers and output their original dynamics. The source code is txpo10b.c. The bit length of integers can be defined by Macro (named MAXLEN) in source code. The number of randomly generated integers can be set by inputting argument. The program can output the original dynamics of a starting integer in terms of “-” presenting (3*x+1)/2 and “0” presenting x/2. This data can be used for observing the relation between the count of “-” and the count of “0”. By analyzing outputting data, we discover that the ratio - the count of “-” over the count of “0” - is 1 asymptotically with the grow of starting integer.
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2018-10-12
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