ChatGPT has quietly changed how it works. It is no longer limited to answering questions or writing text. With built-in apps, ChatGPT can now connect to real services you already use and help you get ...

ABSTRACT: This paper develops an information-theoretic framework for analysing empirical spectra across cosmology, physiology, and astrophysics by recasting them as normalized probability densities ...

The prediction of the properties of crystal materials has always been a core issue in materials science and solid-state physics. With the rapid development of computer simulation techniques and ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Conclusions: This study underscores the potential of GPS-derived mobility data, analyzed through Fourier transform, as a non-invasive and real-time diagnostic and monitoring tool for mood disorders.

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

The primary goal of Super-Resolution (SR) is to reconstruct an image of higher quality from an image of lower quality. The Fourier transform helps in this process by recovering lost, high-frequency ...

Hamamatsu Photonics launches the most compact Fourier Transform - Near Infrared (FT-NIR) Spectrometer Engine currently on the market. It is capable of producing up to 275 spectra per second with a ...

A moving-average filter can address white noise in the time domain but performs poorly in the frequency domain. Figure 1. The convolution engine calculates y(tn) for n=6 (a) and then goes on to ...

Abstract: The fractional Fourier transform on graph (GFrFT) is an extension of discrete fractional Fourier transform (DFrFT) based on graph signal processing (GSP). In this paper, we discuss the shift ...