A bank of white freezers hums away at a former watch factory in central London. Inside: dozens of small boxes with barcoded glass tubes, collectively containing one hundred billion genes. Just two boxes may hold 10 times more information than all…
A bust-up between mathematicians is fuelling fears that AI could undermine science A bank of white freezers hums away at a former watch factory in central London. Inside: dozens of small boxes with barcoded glass tubes, collectively containing one hundred…
Researchers have introduced an augmented multiscale finite element formulation that enforces incompressibility through an iterative penalty approach and shows improved accuracy and robustness across a series of benchmark flow problems. News Source: Audrey Campbell. (October 27, 2026). New Augmented Multiscale Method Sharpens…
A decades-old assumption about the limits of computing may have met an unexpected challenger: artificial intelligence. On Oct. 26, the company announced that its models had produced a proof disputing the Exponential Time Hypothesis (ETH), a longstanding assumption about how difficult…
OpenAI claims its AI system has disproved the Exponential Time Hypothesis, a longstanding assumption about the computational difficulty of certain logic problems. The October 26 announcement has prompted researchers to organize an independent examination. The disclosed result does not demonstrate a... OpenAI…
There is no practical speed up yet. It just shows that the assumption and claim that some really hard problems only have exponential solutions is false. This could be like proving that there are superconductors beyond 6 degrees of absolute zero…
The claim concerns the Exponential Time Hypothesis. Independent scrutiny is open, and a practical Bitcoin attack would require several further steps. OpenAI says its AI system has refuted the Exponential Time Hypothesis, a longstanding assumption about how difficult certain logic…
Expert ‘shepherds’ will decide how best to share the latest breakthroughs in computer science and physics. On Monday, OpenAI announced impressive breakthroughs in mathematics, computer science, and physics, along with what the company says is an evolving approach to communicating…
Turns out, OpenAI might be really good at computers. On Monday, the company said it punctured the Exponential Time Hypothesis, or ETH, the nearly 30-year-old belief in the computer science community that some logic problems get overwhelmingly time-consuming as they…
Here's how to generate them, and the density trap that most generators don't tell you about. A TPMS is defined by an implicit equation f(x, y, z) = t. Sweep t and you get nested surfaces through the volume. The two workhorses:…
The instruments of Mathematics.
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