A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the ...
By encoding mathematical statements into numbers, mathematician Kurt Gödel used ordinary arithmetic to check whether a ...
Apple says testing missed flaws in new encryption designed to protect against future attacks from quantum computers, so it ...
A battle between “slimes” and “zoglins” could be the best way to calculate pi—at least for fans of this megahit game ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...
P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...
A piano teacher has won over an Oscar-winning composer with his new method for teaching students to play, and to compose ...
In 2026, the most effective educational games are no longer just digital textbooks; they are interactive playgrounds where the logic of Cool Math Games meets the creative coding of Scratch. This shift ...
Abstract: Based on the information flow partition projection characteristics of P-type and M-type ganglion cells (referred to as P cells and M cells) and the neural sparse coding mechanism, this ...
Abstract: In this article, a phase-only beam forming method based on digital code metasurface (DCM) is proposed for sidelobe level suppression. First, a joint magnitude-and-phase equivalent model is ...