Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous and powerful tools. A new result marks an exciting advance toward that goal.

Evolocumab can help attenuate the elevated risk of major adverse cardiovascular events (MACE) that individuals with obesity and atherosclerotic cardiovascular disease (ASCVD) face, according to a ...

Abstract: Variational quantum circuits (VQCs) can be understood through the lens of Fourier analysis. The function space represented by any circuit architecture can be described through a truncated ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

As we listen to a piece of music, our ears perform a calculation. The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure ...

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.

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Quantum Fourier analysis is a powerful tool in mathematical physics. Here, we introduce quantum, higher-order Fourier analysis (q-HOFA). We explore some mathematical properties of this theory and show ...

Ayyoun is a staff writer who loves all things gaming and tech. His journey into the realm of gaming began with a PlayStation 1 but he chose PC as his platform of choice. With over 6 years of ...

ABSTRACT: The exponential transform or modified Fourier transform is an integral transform where the Kernel function is K a ( ξ,t )= a −iξt , and a∈] 1,+∞ [ . This is a general case of the Fourier ...