Certain plants, including legumes, form specialized root organs known as nodules. These plants establish symbiotic relationships with nitrogen-fixing bacteria and utilize atmospheric nitrogen. This ...

Abstract: This letter is to investigate the stability verification for heterogeneous polynomial complex networks through iterative sum-of-squares programming approach. With polynomial Lyapunov ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

This is a Julia version of the TorchKAN. In the TorchKAN, TorchKAN introduces a simplified KAN model and its variations, including KANvolver and KAL-Net, designed for high-performance image ...

Abstract: A relaxation of Lyapunov's direct method has been proposed elsewhere that allows for an algorithmic construction of Lyapunov functions to prove stability of equilibria in nonlinear systems, ...

In recent years, neural networks have once again triggered an increased interest among researchers in the machine learning community. So-called deep neural networks model functions using a composition ...

Detrended fluctuation analysis (DFA) can quantify long-range correlation (LRC) and fractal scaling behavior of signal. We compared the results of variant DFA methods by varying the order of the ...

The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems. Not long ago, I was asked to ...

If you’ve ever taken an algebra or physics class, then you’ve met a parabola, the simple curve that can model how a ball flies through the air. The most important part of a parabola is the vertex — ...

1 Unit 63819 of the People’s Liberation Army, Yibin, China. 2 Fuzhou Vocational Technical College, Fuzhou, China. Inclinometer is an important instrument for measuring the levelness of the surface to ...