Abstract: In this article, we investigate the stability analysis of a polynomial-fuzzy-model-based control system by employing a new form of approximate membership functions called Chebyshev ...

Abstract: This article has attempted to answer the question "What is a Savitky-Golay filter?" in terms that will be familiar to the DSP community and readers of IEEE Signal Processing Magazine. This ...

This is inspired by Kolmogorov-Arnold Networks https://arxiv.org/abs/2404.19756v2, which uses B-splines to approximate functions. B-splines are poor in performance ...

Typically, we use Lyapunov_python_3_9 locally (with conda 4.12.0 and pip 24.3.1) and Lyapunov_python_3_10 on our clusters for compatibility issues. The only differences are in the version of python, ...

The Müntz-Legendre polynomials arise by orthogonalizing the Müntz system $\{x^{\lambda _{0}},x^{\lambda _{1}},\ldots \}$ with respect to Lebesgue measure on [0, 1]. In this paper, differential and ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Dr. James McCaffrey presents a complete end-to-end demonstration of the kernel ridge regression technique to predict a single ...

Macdonald defined the Pμ in terms of orthogonality with respect to a scalar product, and conjectured K λ, μ (q, t) ∈ N [q, t]. (ref. 1, p. 355). [From their definition, all one can infer is that the ...

The function keys on your keyboard are the most powerful computer tools that you're not using. We're going to fix that. Almost every computer keyboard has a row of function keys at the top, but it ...

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 ...

Daniele Struppa will be returning to the classroom and research, though he never really left it during his decade leading the ...

When ChatGPT first launched over two years ago, the AI chatbot was met with such high demand that OpenAI introduced a premium plan called ChatGPT Plus. This plan guaranteed access to the chatbot even ...