Fourier analysis is the study of representing general functions as sums of simpler trigonometric functions. It was developed from the study of Fourier series and named after Joseph Fourier. It is used to decompose a function into oscillatory components, and can be used for both analysis and synthesis. It has been extended over time to apply to more abstract and general situations.
Stanford University
Autumn 2022
The course addresses both classic and recent developments in counting and sampling. It covers counting complexity, exact counting via determinants, sampling via Markov chains, and high-dimensional expanders.
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