3+ day, 13+ 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…...

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…...

4+ day, 8+ hour ago   (44+ words) Bioengineer.org Subject of Research: Exact equation discovery from noise-free data using Gröbner bases, evaluated on integer sequences from the Online Encyclopedia of Integer Sequences (OEIS) Article Title: Discovery of Exact Equations via Computing the Gröbner Basis...

1+ week, 23+ hour ago   (25+ words) The Assam Tribune In school, I was not taught how to solve such equations...

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…...

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…...

2+ week, 6+ day ago   (239+ words) Base Cases: What if all the numbers are greater than n? Then we can simply return 1. For eg: [7,8,9,11,12]. Here all the numbers are greater than the length of the array, which is 5. In this case the first missing positive integer…...

2+ week, 6+ day ago   (605+ words) This is just an incredible theorem that I recently came across; it’s so good that I had to write about it. It helps you find out the number of spanning trees of …...

3+ week, 13+ hour ago   (381+ words) How Dynamic Programming quietly changed the way I think about optimization while building an AI agent I realized I was solving the same …...

3+ week, 2+ day ago   (90+ words) Nanyang Technological University - NTU Singapore The Pigeonhole Equal Subset Sum problem (PESS), introduced by Papadimitriou (1994), asks: given n positive integers bounded by M with total sum less than 2^n − 1, find two distinct subsets with the same sum. A solution is…...