Why formalize mathematics - more than catching errors I read a good post by one of the authors of the Isabelle theorem prover, that got me thinking. The author, Lawrence Paulson, observed that most math proofs are trivial, but writing them (preferably with…

Transformer-based large models excel in natural language processing and computer vision, but face severe computational inefficiencies due to the self-attention's quadratic complexity with input...

The first national randomized trial of public Montessori preschool students showed stronger long-term outcomes by kindergarten, including elevated reading, memory, and executive function as compared to ...

Language models are increasingly capable, yet still fail at a seemingly simple task of multi-digit multiplication. In this work, we study why, by reverse-engineering a model that successfully...

Not only did I give internet strangers unrestricted access to send me completely anonymous physical messages, but I also self-hosted the entire site on a Raspberry Pi

Swift has matured significantly over the past decade — extending from cloud services to Windows applications, browser apps, and microcontrollers. Swift powers apps and services of all kinds, and thanks to its great interoperability, you can share code across…

After more than three centuries, a geometry problem that originated with a royal bet has been solved.

Deriving the basic mathematical properties of the Smith chart from electrical engineering

Editor's Note New research offers a potential explanation for why some patients retain toxic metals long after undergoing an MRI. Published in the journal

The tech works. The policy’s in place. So why are heat pumps still a hard sell? What's stopping America from going all-in on heat pumps?

The bare-bones Mac writing app represents a literalist sensibility that is coming back into vogue as A.I. destabilizes our technological interactions.

The OSM dataset is huge, and keeps growing every day. Great news, of course, but sometimes the sheer volume can be overwhelming – there are just gobs and gobs of data! Hence, we created GOB (“Geo-Object Bundle”), a new file format that makes tackling OSM…

I was recently flying between HKG & LHR via British Airways. I’d done the same flight back in 2023, and remember relying on the in-flight entertainment for the 14 hour journey. However, this time on my way to London, they had an interesting offer: Free WiFi…

The dream of hypermedia can come to fruition in a world where clients can not only parse, but navigate with intent.

The device helped people with an advanced form of age-related macular degeneration, which affects about 1 million people in the U.S.