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Definition: The Fourier transform decomposes a function of time into its constituent frequencies.
Usage: Used in signal processing, image analysis, and solving partial differential equations.
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Example 1 Description:
Example 1 LaTeX: \hat{f}(\xi) = \int_{-\infty}^{\infty} f(x)e^{-2\pi i x \xi} dx
Example 2 Description:
Example 2 LaTeX: X_k = \sum_{n=0}^{N-1} x_n e^{-\frac{2\pi i}{N}kn}
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