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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.

On Monday, Anthropic announced Opus 4.5, the latest version of its flagship model. It’s the last of Anthropic’s 4.5 series of models to be released, following the launch of Sonnet 4.5 in September and ...

Tracie Lee, a lecturer in the College of Business and Economics, has significantly expanded educational resources for students by recording 21 new Excel tutorial videos for McGraw Hill. McGraw Hill ...

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 ...

Abstract: Signal processing on directed acyclic graphs (DAGs) presents unique challenges. Unlike for undirected graphs, the Laplacian matrix of a DAG lacks a complete eigenbasis in general, and the ...

Microsoft Excel users can now access Copilot using a new COPILOT function, which pulls AI assistance directly into formulas and cell operations. This function is not a Copilot chat or sidebar, but a ...

Abstract: The introduction of Fourier analysis or series in robot navigation algorithms greatly improves the capability to find solutions to many inherent applications and tasks of robotic systems.

The inverse Fourier transform (inverse FFT or iFFT) reverses the operation of the Fourier transform and derives a time-domain representation from a frequency-domain dataset. Figure 1. The inverse ...