Abstract: The linear–quadratic mean field social control problem is studied in a large-population system with heterogeneous agents following the direct approach. A graph is introduced to represent the ...

The dream of creating game-changing quantum computers—supermachines that encode information in single atoms rather than ...

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Late projects. Architectures that drift from their original design. Code that mysteriously evolves into something nobody ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

We have looked at how to solve equations with one unknown value, but what happens when there are two unknown values? An equation with two unknown values will have infinitely many solutions. or \(x=100 ...

Abstract: This article investigates the leader-following consensus problem of heterogeneous linear multiagent systems under switching and directed topologies. It is assumed that the communication ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

Mathematician Grigori Perelman solved the Poincaré conjecture, and then rejected the $1 million prize that came with it.

Narrator: Serious scientists, like myself, believe our Solar System was formed by the collapse of a giant cloud of gas and rock and is held together by the gravitational pull of the Sun. Eight planets ...