Abstract: In this paper, we define the Windowed Octonion Quadratic Phase Fourier Transform (WOQPFT) and derive its inversion formula, including its essential properties, such as linearity, ...

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording the diffraction patterns formed by shining a laser beam through it. At the ...

Abstract: Many real-world networks are characterized by directionality; however, the absence of an appropriate Fourier basis hinders the effective implementation of graph signal processing techniques.

Focusing on these three daily habits that can take less than an hour each day, but have the potential to drastically change your life. The Pareto Principle, popularly known as the 80/20 rule, suggests ...

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 ...

Credit: Image generated by VentureBeat with FLUX-pro-1.1-ultra A quiet revolution is reshaping enterprise data engineering. Python developers are building production data pipelines in minutes using ...

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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 ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Infrared (IR) spectroscopy is a powerful method for mapping chemical heterogeneity on ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...