This repository contains computer programs implementing a completely new approach to calculating iterates of the Collatz function. The trick is that, when calculating the function iterates, the ...

ABSTRACT: The Collatz Conjecture asserts that for all positive integers s , every Syracuse integer sequence defined by T( s )=s/2 if s is even, and T( s )= ( 3s+1 )/2 otherwise, eventually reaches 1 ...

Abstract: For the symbolic execution, dynamic taint analysis and theorem proving are widely used in software reverse engineering in recent years, the traditional code obfuscation can't make the ...

Please read "Introduction to a New Method in Chapter 1 (article 1)" before reading Chapter 8 (article 10). Chapter 1 also posts links to each chapter. When translating from Japanese to English, subtle ...

At first glance, the problem seems ridiculously simple. And yet experts have been searching for a solution in vain for decades. According to mathematician Jeffrey Lagarias, number theorist Shizuo ...

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Math problems like the Poincaré conjecture and Fermat’s last theorem took centuries to solve. However, others like the Riemann hypothesis and Goldbach’s conjecture still haunt mathematicians and ...