The following problems were sent to us by the MAA. These example problems are copyrighted by the MAA and are reproduced here under the principle of fair use for the benefit of high school students who ...

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.

When the digital revolution first hit classrooms in the early 2010s—and more schools began issuing laptops or tablets to students for individual use—online learning seemed to promise a faster, easier ...

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 ...

Usually, convolution refers to Laplace convolution in the literature, but Mellin convolutions can yield very ueful results. This aspect is illustrated in the coming sections. This study deals with ...

Teddy Svoronos, Lecturer in Public Policy at Harvard Kennedy School of Government, uses generative AI to develop creative interactive learning scenarios for students to practice specific skills. He ...

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 ...

We have all heard the phrase "practice makes perfect." We were told this from an early age by caregivers, teachers, and coaches. I assume, if you're like me, you've heard it enough times and adopted ...

Convolution has a significant impact on many scientific disciplines, ranging from probability theory and harmonic analysis to information theory. Here, we introduce a framework to study quantum ...