Since ancient Greece, researchers have tried to isolate special rational points on curves. Now they have the first ever formula that applies uniformly to all curves ...
Quantum computers—devices that process information using quantum mechanical effects—have long been expected to outperform ...
AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...
Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the ...
A new study published in Nature has found that X's algorithm—the hidden system or "recipe" that governs which posts appear in your feed and in which order—shifts users' political opinions in a more ...
Extracting and analyzing relevant medical information from large-scale databases such as biobanks poses considerable challenges. To exploit such "big data," attempts have focused on large sampling ...
Abstract: Optimal inverse design, including topology optimization and evaluation of fundamental bounds on performance, which was introduced in Part 1, is applied to various antenna design problems. A ...
Abstract: Currently, deep learning technology has become a crucial branch of artificial intelligence, particularly in consumer electronics, where it brings numerous innovative applications through ...
By explicitly modeling each step of a problem and gradually fading away supports, teachers can give students a clear path to mastering new content.
DeepMind's Aletheia is a huge advance in AI-driven mathematical reasoning. It is a research agent built on top of Gemini Deep ...
In other words, you want to construct a polyhedral torus with faces that are shapes such as triangles or rectangles. Your peculiar-looking shape will be trickier to construct than one with a smooth ...