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New Proofs Expand the Limits of What Cannot Be Known newsthirst.

In other words, Hilbert’s 10th problem is undecidable. Mathematicians hoped to follow the same approach to prove the extended, rings-of-integers version of the problem—but they hit a snag. Gumming Up the Works The useful correspondence between Turing machines and Diophantine equations falls apart when the equations are allowed to have non-integer solutions. For instance, consider…

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The Biggest US Banks Have All Backed Out of a Commitment to Reach Net Zero newsthirst.

Danielle Fugere, president and chief counsel for the shareholder advocacy nonprofit As You Sow, said disclosure is a prerequisite for holding banks to their climate goals. ”We want to understand what it is they’re doing,” she said. Laws like California’s bring to light the financial instability wrought by fossil-fuel-driven climate change and—in theory, at least—discourage financing…

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The Extreme Weather Conditions That Drove the Carolina Wildfires newsthirst.

THIS ARTICLE IS republished from The Conversation under a Creative Commons license. Scores of wildfires broke out across North Carolina, South Carolina, and Georgia in early March 2025 as strong winds, abnormally dry conditions, and low humidity combined to kindle and spread the flames. The fires followed a year of weather whiplash in the Carolinas,…

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Is It Electric or Magnetic? Depends on Where You Stand newsthirst.

If you took introductory physics, you learned about the “fundamental forces.” It goes something like this: All interactions are the result of one or more of five basic forces: strong nuclear, weak nuclear, gravity, electric, and magnetic. “Doing physics,” then, means identifying the forces in play. There’s a problem, though, which might not have been…

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