Silicon photonic systems rely increasingly on micro-electro-mechanical systems (MEMS) actuators to provide precise beam steering, wavelength tuning, and optical switching. These applications demand ...
The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.
Abstract: High-temperature superconducting (HTS) cables of fer a promising opportunity for high-field magnet applications. However, the exact technology stack that would lead to accelerator-quality ...
Mathematicians recently gathered for a workshop in Canada a to thrash out ideas inspired by a breakthrough a pair of researchers made in 2023 on a conjecture by Paul Erdős. The pair’s success at ...
The investigation of hadron interactions within lattice QCD has been facilitated by the well-known quantisation condition, linking scattering phase shifts to finite-volume energies. Additionally, the ...
Ramsey problems, such as r(4,5) are simple to state, but as shown in this graph, the possible solutions are nearly endless, making them very difficult to solve. We’ve all been there: staring at a math ...
These 27 sets of numbers are guaranteed a win in the UK's National Lottery, mathematicians said. They calculated that those tickets, costing about $69, covered all bases for a minimum win. But it's ...
UC San Diego mathematicians Jacques Verstraete and Sam Mattheus solved a long-standing Ramsey number problem, r(4,t), utilizing pseudorandom graphs from finite geometry. Their breakthrough provides a ...
For 90 years, mathematicians have been stumped by a problem that attempts to explain how many people would need to be invited to a party so at least 4 people always know one another. To finally crack ...