Properties from random matrix theory allow us to uncover naturally embedded signals from different data sets. While there are many parameters that can be changed, including the probability ...

Rank is an essential concept in linear algebra that represents the number of linearly independent rows or columns of a matrix. It plays a crucial role in solving linear equations, determining the null ...

Matrix inversion is a fundamental operation in linear algebra that allows you to solve linear equations and perform various transformations. In this article, we will explore the process of calculating ...

I aim to calculate eigenvalue values for the vibrational density of states in the CAS system using LAMMPS's dynamical matrix command. But I cannot get a graph like g(w) (arb. unit)- w(THz) Units do ...

We investigate eigenvalue attraction for open quantum systems, biophysical systems, and for Parity-Time symmetric materials. To determine whether an eigenvalue and its complex conjugate of a real ...

In image segmentation, there are many methods to accomplish the result of segmenting an image into k clusters. However, the number of clusters k is always defined before running the process. It is ...

We propose a new method for solving the spinless Salpeter equation. Choosing a special set of orthonormal basis functions we are able to calculate analytically the integral over the corresponding ...