This project presents a new algorithm for identifying perfect numbers by leveraging beautiful triangular numbers. By discovering and implementing a unique pattern in the geometric structure of ...

There is an old entry also dealing with the topc; \href{2015-10-08:entry}{here}. For repetition, the $n$-th triangular number $_n$ is T_n + T_{n+1} &= \frac{n(n+1)}{2 ...

Quadratic Programming (QP) is a mathematical modeling technique designed to optimize the usage of limited resources and has been widely applied to solve real world problems. In conventional quadratic ...

Abstract: In this paper, a new computational method is proposed to solve fully fuzzy linear systems (FFLS) of triangular fuzzy numbers based on the computation of row reduced echelon form for solving ...

Abstract: In this paper, the new distances between two triangular, fuzzy numbers about their parameter variables are defined, and by the aid of the ordinary least-squares method, the estimated values ...

A numerical treatment for the Dirichlet boundary value problem on regular triangular grids for homogeneous Helmholtz equations is presented, which also applies to the convection-diffusion problems.

We consider the vector wave equation on the Schwarzschild spacetime, which can be considered as coming from the harmonic (or Lorenz) gauge fixed Maxwell equations. After a separation of variables, the ...