In this article we list several algorithms for the factorization of integers, each of which can be either fast or varying levels of slow depending on their input. Notice, if the number that you want ...

Abstract: We present a new algebraic framework for linear trellises which yields a new and simpler proof of the fundamental Factorization Theorem by Koetter and Vardy [4], and which sheds light on ...

Abstract: Bivariate polynomial factorization is an important stage of algebraic soft-decision decoding of Reed-Solomon (RS) codes and contributes to a significant portion of the overall decoding ...

Algebraic factorization and semigroup theory form a cornerstone of contemporary abstract algebra, investigating how elements within algebraic structures decompose into irreducible components, or atoms ...

3. Iterative Methods for solving the EigenValue Problem: Iterative Methods known for solving the eigenvalue problem are: Rayleigh Quotient Iteration: finds the eigenvector and eigenvalue pair closest ...

A new method of algebraisation of quantum mechanical eigenvalue equations is presented. In this method the dynamical algebra is represented on the space of group matrix elements. The ladder operators ...

Prime factorization is the process of breaking down a number into its prime factors. Prime factors are prime numbers that, when multiplied together, produce the original number. For 24, the prime ...

Department of Physics, Faculty of sciences, University of Mazandaran, Babolsar, Iran. Inserting spin to Schrödinger equation as a relativistic correction, in the base of Pauli exclusion principle with ...