Abstract: In this paper, we present a novel convolution theorem which encompasses the well known convolution theorem in (graph) signal processing as well as the one related to time-varying filters.

Understand Thevenin’s Theorem the easy way with a clear, step-by-step circuit example. Learn how to simplify complex electrical networks into an equivalent circuit, making analysis faster and ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

In this work, we propose to represent chemical environments as vectorized objects which can be used as input for machine learning (ML) properties of atomistic systems. The proposed method efficiently ...

This is my coursework project for 2023 autumn semester at BSUIR. The project is to study the differences in speed of large convolutions with and without Fourier transform (based on the convolution ...

The Pythagorean Theorem—discovered by the Greek mathematician Pythagoras in the 6th century BCE—is a cornerstone of mathematics. Simply stated as a 2 + b 2 = c 2, the theorem posits that the sum of ...

Bayes’ Theorem is a fundamental concept in probability theory that describes how to update the probability of a hypothesis based on new evidence. It provides a mathematical way to combine prior ...