We introduce free-energy machine (FEM), an efficient and general method for solving combinatorial optimization problems. FEM combines free-energy minimization from statistical physics with ...

The governing nonlinear ordinary differential equations representation is fixed numerically by the weighted residual method (Galerkin method) The computed results are visualized graphically, and the ...

However, the problem of resonances and their corrections remains a critical pitfall of perturbative methods. Recent works have highlighted the sensitivity of band intensities to even subtle resonance ...

Today, people use complex computing networks to search for prime numbers with millions of digits. But early mathematicians ...

Kirigami is a traditional Japanese art form that entails cutting and folding paper to produce complex three-dimensional (3D) ...

West Virginia University researchers are changing how college mathematics is taught by evaluating and sharing a model for ...

SEAS will continue to offer concurrent master’s programs in Applied Math, Applied Physics, Computer Science, and Environmental Science and Engineering. —Staff writer Xinni (Sunshine ...

As quantum computing hardware advances, the demand for scalable, precise, and fully automated verification techniques for ...

Mathematical symbology possesses the property of infinite extension (e.g., the natural numbers). Cantor’s diagonal slash ...

The existence of a small parameter in the wave equation (as a factor multiplying the time derivative) suggests the idea of applying a singular perturbation method to get the stability of the full ...

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary ...

Centre d'analyse et Mathématique Sociales (CAMS, UMR 8557, CNRS EHESS), École des Hautes études en sciences sociales, 54, bd Raspail F-75270 Paris Cedex 06, France Centre d'analyse et Mathématique ...