Abstract: This article studies controllability and observability problems for a class of mixed-valued probabilistic logical control networks (PLCNs). First, PLCN is transformed into the algebraic ...

An OpenAI-led study finds current AI models struggle to manipulate their reasoning, but warns that more advanced systems could eventually obscure decision processes during monitoring ...

This manuscript deals with a hierarchical control problem for Oldroyd equation under the Stackelberg-Nash strategy. The Oldroyd equation model is defined by non-regular coefficients, that is, they are ...

PCWorld reports that Windows 11 update KB5077181 is causing critical boot loops and login failures for users after installation. The problematic February update ...

One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...

Mathematics, like many other scientific endeavors, is increasingly using artificial intelligence. Of course, math is the backbone of AI, but mathematicians are also turning to these tools for tasks ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...

Usama has a passion for video games and a talent for capturing their magic in writing. He brings games to life with his words, and he's been fascinated by games for as long as he's had a joystick in ...

Abstract: Lie algebra methods have been the leading methods in studying the controllability problems of nonlinear systems including bilinear systems over the past decades. However, once semigroups ...

Bluetooth is a technology for short-range data transmission that has become so ubiquitous in recent years that we can no longer imagine life without it. This makes it all the more annoying when ...