If p is an odd prime, there is a theorem that says x² = −1 mod p has a solution if and only if p = 1 mod 4. When a solution x exists, how do you find it? The previous two posts have discussed Stan Wagon’s algorithm for expressing an odd prime p as a sum of two squares. This is possible if and only if p = 1 mod 4, the same condition on p for −1 to have […]
The previous post briefly mentioned Stan Wagon’s algorithm for expressing an odd prime p as a sum of two squares when it is possible (i.e. when p = 1 mod 4). Wagon’s algorithm requires first finding a non-square mod p, i.e. a number c such that c ≠ d² mod p for any d in 1, 2, 3, … p − 1. Wagon recommends searching for c by testing consecutive primes q as candidates. You can test whether a […]
NASA Administrator Jared Isaacman said Saturday the agency is looking at ways to prevent the fueling problems plaguing the Space Launch System rocket before the Artemis III mission. Artemis III is slated to be the first crew mission to land on the Moon since the Apollo program more than 50 years ago. As for Artemis II, which remains on the launch pad at Kennedy Space Center in Florida after missing a launch window earlier this month, NASA is […]
Self Engineering Reinforced Learning Framework Enterprise AI sovereignty for everyone. Off the grid. On the chain. 10 products. Open source the floor, sell the ceiling. Novel Patterns, tools, and templates Learn to build self-evolving systems Open source the floor. Sell the ceiling. Platform health across all hosting I would love the inputs of all on my new endevour, and have a happy Valentines Day everyone. SERLF submitted by /u/Glittering-Lead-2314 [link] [comments]
I have been keen in applied rl, though I wasn’t domain specific I tried building good rl models for drones robotics, brain computer interfaces etc.. I got intrigued by quant finance very late I know that.. Seeing the vast potential and problem solving it takes and me being a physics major with an rl interest how about pivoting to quant finance? submitted by /u/Man_plaintiffx [link] [comments]
Hierarchical Reinforcement Learning (HRL) frameworks like Option-Critic (OC) and Multi-updates Option Critic (MOC) have introduced significant advancements in learning reusable options. However, these methods underperform in multi-goal environments with sparse rewards, where actions must be linked to temporally distant outcomes. To address this limitation, we first propose MOC-HER, which integrates the Hindsight Experience Replay (HER) mechanism into the MOC framework. By relabeling goals from achieved outcomes, MOC-HER can solve sparse reward environments that are intractable for the original […]
The release of Symfony 7.4 LTS marks a pivotal moment in the PHP ecosystem. While the framework itself introduces robust features like stricter type safety and native PHP serialization for containers, the real revolution is happening in how we serve these applications.Gone are the days when NGINX + PHP-FPM was the undisputed default. Application servers written in Go have matured, offering “Worker Mode” capabilities that boot your kernel once and keep it in memory, slashing latency and skyrocketing throughput. In […]
Dear Engineer, Software should not evolve in the blink of an eye; it should be a careful, methodical beast that steadily improves and makes incremental progress, with fast shifts only when necessary to benefit the user. I say this not to justify bureaucratic procedure, nor to suggest that implementation should take longer than necessary, and certainly not to argue against adopting genuine advancements, but to argue for the importance of timelessness both in the solution and the problem […]
Published on February 10, 2026 5:59 PM GMT Cross-posted from Telescopic Turnip Recommended soundtrack for this post As we all know, the march of technological progress is best summarized by this meme from Linkedin: Inventors constantly come up with exciting new inventions, each of them with the potential to change everything forever. But only a fraction of these ever establish themselves as a persistent part of civilization, and the rest vanish from collective consciousness. Before shutting down forever, […]
It’s Valentine’s Day, and while there are plenty of classic and current rom-coms out there for those wishing to immerse themselves in warm and fuzzy feelings, we’re opting to celebrate in a different way: honoring Ang Lee’s 2000 masterpiece Crouching Tiger, Hidden Dragon, a wuxia tragic fairy tale featuring one of the most beautifully heartbreaking love stories in film at its center. It’s also got stunning cinematography and tons of awe-inspiring martial arts sequences, which makes it my […]