Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

BLUF: This repo demonstrates the reduction pattern in runnable form under explicit bounds. It does not solve the Halting Problem, and it is not a safety certification tool for real autonomous systems.

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Not drinking enough water could intensify stress responses. Researchers found that under-hydrated individuals had cortisol levels more than 50% higher during stressful situations. Poor hydration ...

Europe is struggling to address long-standing problems, political and business leaders told CNBC on the sidelines of the Ambrosetti Forum. A lack of competitiveness, bureaucracy and regulatory ...

When updating a piece of software as large and complex and old as Windows, you’re inevitably going to break something every once in a while. Microsoft tracks known issues here—generally they affect ...

Word problems are often described as “math stories” and can put complex mathematical operations into a more approachable form for students. But students often struggle when they see a combination of ...

These days it’s impossible to avoid the avalanche of evidence about young men falling behind in America. Within the last month, the New York Times laid out the dismal data, the Wall Street Journal ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...

Word problems try and tell students a story about the math problem in front of them. They are a useful way to connect abstract numbers to concrete situations, so students can learn early on to apply ...

The original version of this story appeared in Quanta Magazine. The world of mathematics is full of unreachable corners, where unsolvable problems live. Now, yet another has been exposed. In 1900, the ...