Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and ...

Solving quadratic congruences is a widely applied operation in cryptographic protocols to ensure the data secrecy in the Internet of Things (IoT). Yet it requires unaffordable computation resource for ...

We develop a numerically efficient algorithm for computing controls for nonlinear systems that minimize a quadratic performance measure. We formulate the optimal control problem in discrete-time, but ...

In this article, you will learn about the Almighty Formula and discover how to harness the power of this versatile formula to solve equations with ease and precision.

The Strange Story of the Algorithm Meant to Solve Life, the Universe and Everything Some researchers dream of solving all mysteries with a common method—but a mathematical paradox may keep such ...

These equations, the Rachford-Rice equations, will be discussed and applied to a ternary phase diagram in the present work . A thermodynamical background together with equilibrium conditions will be ...