Here’s what you’ll learn when you read this story: Prime numbers are essential for technologies like RSA encryption, which rely on the difficulty of guessing these numerals. A new paper shows that ...

Abstract: We propose a synthesis procedure for solving the Diophantine equation in the Factorization Approach, based on state space inversion techniques. This new approach is interesting because it ...

Abstract: A method for solving the Diophantine equation using a nonsingular matrix equation system is proposed in this note. A scheme of setting up a system with the same number of variables as ...

For centuries, the principle of symmetry has guided physicists towards more fundamental truths, but now a slew of shocking ...

Our teacher already knows there is a positive relationship between how much time was spent on an essay and the grade the essay gets, but we’re going to need some data to demonstrate this properly.

Capital requirements are standardized regulations for banks and other depository institutions that govern the capital, as a percentage of their assets, that they must maintain. Having this capital on ...

This book explores elementary problems and theorems in algebra and number theory, providing insights into equations and inequalities for students and enthusiasts.

Mathematics is the universal language of science while computer science is the study of the hardware and algorithms that are used in modern computer systems. Since many of the early pioneers of ...

This fundamental algorithm is the main stepping-stone for understanding much of modern cryptography. Not only does this algorithm find the greatest common divisor of two numbers (which is an ...

Theoretical Physics Group, National Institute of Physics, University of the Philippines Diliman, Quezon City 1101, Philippines ...

A modular framework implementing Physics-Informed Neural Networks (PINNs) with Gradient Normalization for solving differential equations including Navier-Stokes equations for crystal growth modeling.