physics_informed_neural_network/ ├── app/ # FastAPI application │ ├── __init__.py │ ├── api/ # API endpoints │ │ ├── __init__.py ...

In this work, Green's functions for the two-dimensional wave, Helmholtz and Poisson equations are calculated in the entire ... the i∈- prescription [2-5] and that which leads to the Cauchy principal ...

School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China School of Mathematics and Statistics, Jiangxi Normal University, Nanchang, 330022, P. R ...

the so-called "father of algebra," established the fundamentals for solving equations that we began to set the foundations for modern mathematics. In this excerpt from her new book "Vector ...

Vertical video - vintage sheet music notation manuscript with staff lines and musical notes moving gently across the sheet. This retro, grunge styled motion background is a seamless loop. Royalty-free ...

Abstract: The paper addresses the estimation of motion on an image sequence by data assimilation methods. The core of the study concerns the definition of the data term, or observation equation, that ...

Villata [16] theoretically investigated a decade ago the behavior under CPT of the covariant equations of motion of an electron in a gravitational and electromagnetic field and came to the conclusion ...

What is its past? I can gather these pieces of information by calculating the equations of motion from the Lagrangian—these tell us how the system evolves. I can also calculate the energy in a ...

We present exact explicit Peregrine soliton solutions based on a periodic-wave background caused by the interference in the vector cubic-quintic nonlinear Schrödinger equation involving the ...