Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...
Joseph Fourier, born just 250 years ago, introduced a wonderful idea that revolutionised science and mathematics: any function or signal can be broken down into simple periodic sine-waves. Radio waves ...
The representation of a PERIODIC sound or WAVEFORM as a sum of Fourier components (i.e. pure SINUSOIDAL WAVEs). According to the FOURIER THEOREM, periodic sound may be shown to consist of SINE WAVEs ...
If you’re into mechanical devices or Fourier series (or both!), you’ve got some serious YouTubing to do. In Synthesis, [The Engineer Guy] explains how the machine creates an arbitrary waveform from ...
Professor Edmund Lam, Dr. Ni Chen and their research team from the Department of Electrical and Electronic Engineering under ...
Lie groups provide a natural framework for describing continuous symmetries in both mathematics and physics. These groups, which are simultaneously smooth manifolds, allow for the integration of ...
Recent discussions of the functional significance of ultradian rhythms emphasize their importance to human physiology. Over the past 25 years, electroencephalographic (EEG) sleep patterns have been ...
An objective method is developed for providing fast initial estimates and corresponding uncertainty of large macroeconomic indicators, including the aggregate gross domestic product (GDP). An ...
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