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The Collatz Problem in Binary: Two Fully Worked Proofs and One Open Question
13+ hour, 57+ min ago (1426+ words) This document is written so that any undergraduate mathematics student can follow every step by hand, with a calculator, and verify every claim independently. No step is skipped. Every symbol is defined before it is used. Every "proven" claim below…...
Lusona, A Mathematical Beauty⭐ Part 2
1+ day, 10+ hour ago (29+ words) love research. Before reading this article I highly recommend reading this, Lusona, a mathematical beauty. It will familiar you with the concept of …...
A 50-year-old computer-assisted proof
5+ day, 2+ hour ago (254+ words) The idea of using computers to assist with proofs is not new. The first major computer-assisted proof was published in 1976, the proof of the four color theorem by Kenneth Appel and Wolfgang Haken. The authors reduced the proof of the…...
Why Navier-Stokes remains one of mathematics’ toughest problems — Institute
5+ day, 19+ hour ago (518+ words) The Clay Mathematics Institute has described the Navier-Stokes equation as one of seven exceptionally difficult mathematical problems that have resisted solution for many years, with fundamental questions about the behaviour of fluids still awaiting proof. CMI medala The Cambridge, Massachusetts-based…...
Order from disorder: do we need a new law of physics?
2+ week, 7+ hour ago (473+ words) A radical proposal that evolutionary pressures apply to atoms as much as animals should provoke scientific debate....
Unit Circle & Radian Measure??? Free Game
2+ week, 2+ day ago (348+ words) Stellen Sie Ihre erste Frage Unit Circle and Radian Measure In early geometry, trigonometry is often limited to right triangles, which means we only deal with acute angles (between 0∘0^\circ0∘ and 90∘90^\circ90∘). By using the unit circle and radian measure, we can…...
Heisuke Hironaka obituary: mathematician who smoothed out geometry’s complexities
2+ week, 3+ day ago (217+ words) His awe-inspiring proof for the resolution of singularities — such as peaks, edges and self-crossings — revolutionized algebraic geometry....
The 72‑Hour Abyss: The Mathematical Proof That Civilization Has No Margin
3+ week, 16+ hour ago (556+ words) DOI: https://doi.org/10.5281/zenodo.22071465 For the full free printable report. THE STORY OF A WORLD THAT RUNS OUT OF …...
Inside Retium’s Prime Mesh
3+ week, 6+ day ago (877+ words) How Prime Mathematics Creates a Multidimensional Blockchain Structure Retium Deep Dive Series — Week 04 Introduction In the previous article, we explored Proof of Math …...
The Day Math Predicted Antimatter
4+ week, 2+ day ago (1135+ words) The Day Mathematics Predicted Antimatter Before Nature Answered, Mathematics Already Knew. In 1928, a quiet young physicist walked onto a stage to present the results of his latest work. There was …...