Abstract: This article proposes a distributed algorithm for a network of agents to solve an optimization problem with separable objective function and locally coupled constraints. Our strategy is ...

Learn how to find the equation of a tangent line to a function using calculus. This video simplifies the process with step-by-step explanations, helping you understand derivatives, slopes, and tangent ...

Department of Physics and Engineering Physics, Tulane University, New Orleans, Louisiana 70118, United States ...

The spatial positioning of magnetic resonance imaging (MRI) images is determined by generating a linearly varying gradient magnetic field through a gradient coil, which plays a pivotal role in the ...

ABSTRACT: In this paper, we consider a more general bi-level optimization problem, where the inner objective function is consisted of three convex functions, involving a smooth and two non-smooth ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

function objective_function(model, state, Δt, step_i, forces) dif1 = JutulDarcy.compute_well_qoi(model, state, forces, :Producer1, SurfaceLiquidRateTarget) - obs ...