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How to normalize a wave function using numerical integration in Python

Learn how to normalize a wave function using numerical integration in Python. This tutorial walks you through step-by-step coding techniques, key functions, and practical examples, helping students ...
IEEE

Optimal Adaptive Time-Frequency Representation via Differentiable Short-Time Fourier Transform

Abstract: The short-time Fourier transform (STFT) is widely used for analyzing non-stationary signals. However, its performance is highly sensitive to its parameters, and manual or heuristic tuning ...
Quanta Magazine

Networks Hold the Key to a Decades-Old Problem About Waves

Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous ...
GitHub

Highly optimized Pseudo-Polar Fourier Transform in Python.

This repository provides a Python implementation of the Pseudo-Polar Fourier Transform (PPFT) in both 2D (PPFT2D) and 3D (PPFT3D), based on the methods presented in the following papers: ...