It is rare to read about “spectacular progress” or a “once-in-a-century” result in mathematics. That’s for good reason: if a problem has not had a solution for many years, then completely new ...

A young computer scientist and two colleagues show that searches within data structures called hash tables can be much faster than previously deemed possible. Sometime in the fall of 2021, Andrew ...

With AI at the forefront of technology, it is essential to recognize its role in every aspect of our daily operations, from maintaining contact with our customers to leveraging our marketing and human ...

The program implements the Collatz Conjecture, also known as the 3n + 1 problem. Calculates the Collatz sequence for a given positive integer, displays the highest number in the sequence, the amount ...

if a given term is even, the term that follows is half the given term; if a given term is odd, then the terms that follows is the successor of three times the given term. For example, the Collatz ...

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 ...

The purpose of this study is to prove the Collatz conjecture using a theorem proving system. First, the division sequence is defined as an alignment of the number of times division by 2 is performed ...

Proposed in 1937, the Collatz conjecture has remained in the spotlight for mathematicians and computer scientists alike due to its simple proposal, yet intractable proof. In this paper, we propose ...