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ABSTRACT: The aim of this paper is to study the 3x + 1 problem based on the Collatz iterative formula. It can be seen from the iterative formula that the necessary condition for the Collatz iteration ...

In this article, we will show you how to scan for hardware changes in Windows 11/10. All the peripheral devices that we connect to our system require a dedicated ...

High resolution scans of a pre-dynastic granite vase revealed micrometer level precision that engineers say is extremely difficult to achieve even with modern tools. A cryptographer and mathematician ...

A new benchmark pitting AI against previously unseen maths problems shows that systems still fall short of top human expertise. Artificial intelligence has undergone its most scrupulous maths test yet ...

// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations", // in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...