Also known as sampling theorem, Whittaker–Shannon sampling theorem, Whittaker–Nyquist–Shannon sampling theorem, cardinal theorem of interpolation, Nyquist–Shannon theorem
theorem in signal processing describing discrete samples of a continuous signal
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Example of magnitude of the Fourier transform of a bandlimited function
The Nyquist–Shannon sampling theorem is a theorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals and discrete-time signals. In the case of uniformly spaced (periodic) sampling, it establishes a sufficient condition on the sample rate that permits a discrete sequence of samples to capture all the information from a continuous-time signal of finite bandwidth, such that the original signal can be reconstructed exactly from those samples.
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Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).