Space weather forecasting doesn't yet command the same resources as Earth weather forecasting, even though the stakes are growing.

What the Philadelphia Phillies do ahead of the trade deadline will be a major topic of conversation. Last year, many felt the ...

Abstract: This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order ...

Calculus of variations (Euler-Lagrange equations, Hamilton’s principle, minimization of functions and relation to eigenvalues of Sturm-Liouville operators). Prerequisite: MTH306, MTH309, MTH 418 or ...

This new extension is based on a new concept of umbra-time, which leads to a peculiar form of equations termed as 'umbra-Lagrange's equation'. This equation leads to a simple and new fundamental view ...

The theory is encapsulated in a single equation known as the Standard Model Lagrangian. We’re going to explain to you how it works! The Standard Model of particle physics is arguably the most ...

To finish setting up the problem, simply subtract this modified budget constraint from the original equation. In our case, this means the full Lagrangian optimization problem looks like this: ...