In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...
Abstract: This letter presents an output feedback approach to distributed optimal formation control of linear time-invariant multiagent systems. The formation control problem is formulated as a ...
P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...
Abstract: In traditional binary classification tasks, learning algorithms conventionally distinguish positive and negative samples by leveraging fully labeled training data. However, in practical ...
Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning OpenAI has claimed a further advance in AI reasoning after its technology successfully tackled an 80-year-old ...
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 ...
Cold case of woman’s murder in seaside town solved after 20 years due to DNA found on cigarette butt The latest headlines from our reporters across the US sent straight to your inbox each weekday Your ...
In a world where scientific breakthroughs often bring fame, wealth, and global recognition, Grigori Perelman chose a completely different path. The Russian mathematician stunned the academic world ...
Quote of the day by Søren Kierkegaard: 'Life is not a problem to be solved, but a reality to be...' - inspiring lessons on living life in the present, embracing uncertainty and experiences by Danish ...
Critics of artificial intelligence caution that, as a relatively new technology, its long-term effects on the human brain are still unknown. But a new study shows that AI could be dangerous even in ...
President Donald Trump’s visit to China this week offers an opportunity to revisit trade negotiations on critical minerals. When President Trump met with Chinese leader Xi Jinping last October in ...
Using AI chatbots for even just 10 minutes may have a shockingly negative impact on people’s ability to think and problem-solve, according to a new study from researchers at Carnegie Mellon, MIT, ...