A team of theoretical researchers has found duality can unveil non-invertible symmetry protected topological phases, which can lead to researchers understanding more about the properties of these ...

A schematic illustrating how duality maps Non-Invertible Symmetry-Protected Topological (NISTP) phases to Spontaneously Symmetry Broken (SSB) phases of ordinary group symmetries. A team of theoretical ...

Abstract: The Nelder-Mead simplex method is a well-known algorithm enabling the minimization of functions that are not available in closed-form and that need not be differentiable or convex.

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

China on Tuesday banned exports of goods that could be used for military purposes to Japan, a move that escalates tensions between Beijing and a key U.S. ally as disputes intensify over Taiwan. The ...

TOKYO, Jan 7 (Reuters) - Japan's top government spokesperson said on Wednesday that China's ban on exports of dual-use items to the country was "absolutely unacceptable and deeply regrettable", as a ...

China bans dual-use item exports to Japan for military use Move follows Japan PM's Taiwan remarks Japan calls the measures 'absolutely unacceptable' Diplomatic disputes trigger rare earth curb fears ...

China imposed controls on exports to Japan with any military use, intensifying a dispute between Asia’s top economies over remarks Japanese Prime Minister Sanae Takaichi made last year on Taiwan. All ...

China has banned exports to Japan of dual-use items that can be used for military and civilian purposes, after Japanese Prime Minister Sanae Takaichi spoke critically of a potential Chinese invasion ...

Struggling with a problem that seems to require trigonometry? This lesson shows how to solve it without using trigonometry, using two easy methods anyone can apply. With clear logic and step-by-step ...

Smokers who use cigarettes and vape devices interchangeably might not be doing themselves as much of a disservice as once feared, a new study says. These "dual users" are more likely to eventually ...