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some considerations on the total stopping time for the collatz problem
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نویسنده
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fabiano nicola ,mirkov nikola ,radenović stojan
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منبع
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military technical courier - 2024 - دوره : 72 - شماره : 3 - صفحه:1019 -1028
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چکیده
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Introduction/purpose: the collatz conjecture has been considered and the stopping time needed for the recursive transformation to end has been investigated. methods: a statistical analysis on the stopping time has been used. results: the statistical approach shows that the probability of finding an infinite stopping time, that is a violation of the collatz conjecture, is extremely low. conclusion: picking precisely one particular atom in the universe is still more favorable, by more than 61 orders of magnitude, than encountering an infinite total stopping time.
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کلیدواژه
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collatz conjecture ,recurrences ,statistical analysis ,curve fitting
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آدرس
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university of belgrade, “vinča” institute of nuclear sciences, national institute of the republic of serbia, serbia, university of belgrade, “vinča” institute of nuclear sciences, national institute of the republic of serbia, serbia, university of belgrade, faculty of mechanical engineering, serbia
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پست الکترونیکی
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radens@beotel.rs
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Authors
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