A Reduced Collatz Dynamics Maps to a Residue Class, and Its Count of x/2 over the Count of 3∗x+1 Is Larger than ln3/ln2
We propose reduced Collatz conjecture and prove that it is equivalent to Collatz conjecture but more primitive due to reduced dynamics. We study reduced dynamics (that consists of occurred computations from any starting integer to the first integer less than it) because it is the component of origin...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/5946759 |