Variational principles provide a powerful and unifying framework to derive the governing equations of systems by optimising an action functional. Traditionally applied in classical mechanics via ...

Problems without initial conditions for evolution equations and variational inequalities appear in the modeling of different non-stationary processes within many fields of science, such as ecology, ...

In the summer of 1997, an amiable kid from Kansas with the physique of a car antenna walked into Sports Illustrated. My new office mate came bearing a bag of Krispy Kreme doughnuts for us to share, a ...

How to make intelligent decisions is a central problem in machine learning and artificial intelligence. Despite recent successes of deep reinforcement learning (RL) in various decision making problems ...

New technologies for recording the activity of large neural populations during complex behavior provide exciting opportunities for investigating the neural computations that underlie perception, ...

We present a generalization of the variational principle that is compatible with any Hamiltonian eigenstate that can be specified uniquely by a list of properties. This variational principle appears ...

Dynamical systems theory provides a mathematical framework for studying how complex systems evolve over time, such as the neurons in our brains, the global climate system, or engineered cells. But ...

School may be back in session, but for many students affected by Hurricane Michael they are returning without clothing, food and even homes. As a result, Parker elementary school held a clothing and ...

A variational principle for relativistic magnetohydrodynamics is formulated. As an application, the properties of small-amplitude waves and their interaction with the mean flow are calculated. The ...

The paper shows that the variational principle serves as an element of the mathematical structure of a quantum theory. The experimentally confirmed properties of the corpuscular-wave duality of a ...