Abstract: Classical methods, including formation control, cooperative trajectory planning, and control-based methods, have been proposed to solve the passing-through control problem of robotic swarms ...
When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...
The year 2022 marked the 200 th anniversary of the first appearance of the Navier–Stokes equation, a landmark in Fluid Dynamics introduced by Claude-Louis Navier in 1822. This equation revolutionized ...
The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...
The mathematician Javier Gómez Serrano, born in Madrid 39 years ago, has partnered with the artificial intelligence giant Google DeepMind to try to “soon” solve one of the most devilish enigmas known ...
When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...
As we celebrate the International Year of Quantum Science and Technology (IYQ) in 2025, we look back on a century of quantum mechanics—a field that has fundamentally changed the way we understand ...
Held on 20 December 2024, the seminar was jointly organised by IAS and the School of Physics and Mathematics Sciences (SPMS) in collaboration with the Graduate Students' Club of SPMS. Our ...
2. Graphical Method: The graph of a pair of linear equations in two variables is represented by two lines. (i) If the lines intersect at a point, then that point gives the unique solution of the two ...
Mathematics is the language that lets us describe the universe. Galileo Galilei was already convinced of that in the 16th century. But even everyday phenomena such as the melting of an ice cube in a ...
For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.
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