Copied Calculate the Fourier transform of a Gaussian \(f(x)=e^{-x^2}\). Formulate and prove Heisenberg’s uncertainty principle. Raw LaTeX \begin{enumerate} \item[(a)] Calculate the Fourier transform of a Gaussian \(f(x)=e^{-x^2}\). \item[(b)] Formulate and prove Heisenberg's uncertainty principle. \end{enumerate} Topic Tags Fourier Transform and Sampling Theory Gaussian Elimination and Pivoting Linear Programming and Optimization Maximum Principles