Abstract: This article establishes an approach, based on distributed optimization, for solving continuous-time Lyapunov equations (CTLE) over multiagent networks. Each agent in the network knows ...

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Abstract: This article investigates a class of systems of nonlinear equations (SNEs). Three distributed neurodynamic models (DNMs), namely a two-layer model (DNM-I) and two single-layer models (DNM-II ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

Unless you do it in your day to day job, math can be very easy to avoid once you graduate from school. Suddenly those long, complicated equations that your math teacher swore would be trivial are so ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

You do not have to be a mathematician to figure out the series of equations involved in this brainteaser make no sense. This numerical riddle shows a pattern of addition equations before asking you to ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Apple's release of iOS 18.1 builds on the groundbreaking features of iOS 18, offering users new capabilities and fixes. Among the best updates in iOS 18 is the enhanced Messages app, which now lets ...

Here’s how to enable your team to solve problems on their own so you can focus on strategic planning and growth. Your role as a leader is not to be the one who solves all the problems that arise in ...