The results provide vivid physical manifestations of topological theorems that mathematicians have long known, including a demonstration of the "Hairy Ball Theorem" that claims, colloquially ...

Noether’s theorem, which she formulated in 1915, says that symmetries in the universe give rise to mathematical conservation laws. This statement is a crucial underpinning of physical laws ...

OpenAI CFO Sarah Friar has said that AI agents will begin coming up with novel scientific discoveries and theorems in two years. “The world of agents is right here with us now,” she said in an ...

Abstract: The theorem gives the most general form of the driving-point impedance of any network composed of a finite number of self-inductances, mutual inductances, and capacities. This impedance is a ...

Chinese Remainder Theorem, CRT, is one of the jewels of mathematics. It is a perfect combination of beauty and utility or, in the words of Horace, omne tulit punctum qui miscuit utile dulci. Known ...

Abstract: This paper presents an extension of previous works by Mathis and Saunders, who showed that one will always find both linear polarization and polarization other than linear on the far-field ...