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The part of Navier-Stokes no one is talking about
3+ day, 16+ hour ago (289+ words) Yesterday OpenAI announced a proof that settled a long-standing question about the Navier-Stokes equations from fluid dynamics. The announcement has created a lot of buzz, as one would expect. But there’s an aspect of OpenAI’s work that I haven’t seen…...
In school, I was not taught how to solve such equations
1+ week, 23+ hour ago (25+ words) The Assam Tribune In school, I was not taught how to solve such equations...
Quantum Defects Reveal Links Between Symmetry And Topology
1+ week, 4+ day ago (257+ words) By combining these established concepts with new mathematical tools, the researchers have created a powerful method for exploring the intricacies of symmetry-enriched topological order and its implications for quantum materials. The findings, published in Quantum, represent a step towards a…...
Unit Circle & Radian Measure??? Free Game
2+ week, 1+ 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…...
AI experts build new machine to understand the universe
2+ week, 4+ day ago (672+ words) Model understands the world completely differently from famous artificial intelligence systems such as ChatGPT and Claude AI experts that were going to make artificial intelligence for Jeff Bezos have revealed a new system for understanding the universe instead. The research…...
What If AI Could Discover a New Scientific Law?
2+ week, 5+ day ago (409+ words) For most of history, scientific discoveries came from humans. Someone noticed something unusual, asked a question, tested an idea, and slowly built an explanation. But AI is changing how we approach science. So I started wondering: What if AI discovered…...
The 72‑Hour Abyss: The Mathematical Proof That Civilization Has No Margin
2+ week, 6+ day 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 …...
What exactly is modified about a modified Bessel function?
2+ week, 6+ day ago (509+ words) Special functions often have arcane names that not very helpful without some context. The previous post goes into some reasons for this. This post will expand on a point at the end of the post about “modified” functions. Things are…...
Roman to Integer — The Simple Trick Behind Roman Numerals
3+ week, 5+ day ago (164+ words) Roman numerals may look complicated at first, but there is actually a beautiful pattern hiding behind them. Once you understand one simple …...
Proportion of 1s in a Hadamard matrix
3+ week, 6+ day ago (181+ words) The first post in the recent series of posts on Hadamard matrices describes a way of constructing new Hadamard matrices from two other Hadamard matrices by taking their Kronecker product. Starting with a Hadamard matrix H0 and a Hadamard matrix G,…...