The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic theory from the microscopic one; and then stitch them together in a single ...

Researchers have long recognized that quantum communication systems would transmit quantum information more faithfully and be impervious to certain forms of error if nonlinear optical processes were ...

Quaicoe, I., Lasidzi, N. A., Amartey, L. K. and Simeon, S. (2025) Utilisation of Agro-Wastes as Adsorbents for Fluoride and ...

Physicists have created a compact laser that emits extremely bright, short pulses of light in a useful but difficult-to-achieve wavelength range, packing the performance of larger photonic devices ...

School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, P. R. China Center for Differential Equations and their Applications, Hebei University of ...

The first step in simulating or optimizing a dynamical system is to define the ordinary differential equations to be integrated ... nested groups and components, layers of nonlinear solvers, etc.

One notable missing feature in most ANN models is top-down feedback, i.e. projections from higher-order layers to lower-order layers in the network. Top-down feedback is ubiquitous in the brain, and ...

The SUNDIALS suite consists of the following packages for ordinary differential equation (ODE) systems, differential-algebraic equation (DAE) systems, and nonlinear algebraic ... with systems with ...

The study develops a "maze function," a new mathematical construct that characterizes solutions for intersecting systems of M2 and M5 branes in supergravity. The maze function must obey a nonlinear ...