The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number ...

Vector Fitting is an algorithm used to approximate frequency-domain responses with rational functions. It is based on pole relocation through a least-squares fitting process, ensuring stable and ...

Human Papillomavirus (HPV) is linked to multiple cancers, most significantly cervical cancer, for which HPV infection is associated with nearly all cases. Essential to the oncogenesis of HPV is the ...

Biological systems can process information without expending energy, and the limit to what can be achieved in this way is known as a Hopfield barrier. We characterize this barrier for the sharpness of ...

State-space models (SSMs) are crucial in deep learning for sequence modeling. They represent systems where the output depends on both current and past inputs. SSMs are widely applied in signal ...

spectral-fit.jl contains the code we used to do spectral fitting, including functions to generate some plots from the manuscript. example-functions.jl contains example functions which the rational ...

Get your news from a source that’s not owned and controlled by oligarchs. Sign up for the free Mother Jones Daily. Rational 360, a high-powered Washington, DC-based strategic communications firm and ...

ABSTRACT: As a generalized sensor, the RPC model with its accuracy equally matches the physical sensor model. Moreover, the accurate positioning combining with the flexibility in application leads the ...

Abstract: The coupling matrix provides an immediate tool to describe a network, widely used in the context of microwave filters. While several techniques exist to obtain and manipulate the coupling ...

There are two kinds of leaders: One type is what I call the "rational optimist," who can see opportunities in difficult situations and respond appropriately when problems arise. I consider the other ...