With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with ...

Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.

THE PROMISE at the heart of the artificial-intelligence (AI) boom is that programming a computer is no longer an arcane skill ...

A website called “UK visa portal” has been quietly collecting passport scans, selfies, and personal data from thousands of travellers who thought they were applying through official channels.

Discusses Product Innovation With Headless 360 and Slackbot May 29, 2026 2:00 PM EDTCompany ParticipantsValmik Desai - ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

ChatGPT is the best all-round free AI tool for writing, research, coding help, planning, and everyday tasks. Canva AI is the easiest free AI tool for finished visuals because you can create images and ...

From reproductive rights to climate change to Big Tech, The Independent is on the ground when the story is developing. Whether it's investigating the financials of Elon Musk's pro-Trump PAC or ...

Islamabad, Pakistan – A two-day meeting of BRICS foreign ministers in New Delhi ended on Friday without a common position on the war on Iran, with the bloc’s outcome document acknowledging only that ...

Anthropic launched a beta version of Claude for Word, another challenge to Microsoft's software empire and a bid to appeal more to the legal profession. The AI startup, having pushed Claude into Excel ...

Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of ...