The Gaussian function is a mathematical function that describes a symmetrical bell-shaped curve, often used in probability and statistics. It is defined as $$f(x) = ae^{-rac{(x-b)^2}{2c^2}}$$, where 'a' represents the height of the curve's peak, 'b' indicates the position of the center, and 'c' determines the width of the bell. This function is significant in various fields due to its natural occurrence in many phenomena, especially in the context of Fourier transforms, where it serves as an important example due to its nice properties under transformation.
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