The paper investigates iterative algorithms for solving the equation according to Kalendar-Van Dusyn formula, which describes dependence of electrical resistance Pt100 family sensor on temperature. This platinum sensors is considered quasi-linear, but high-precision measurements nonlinearity cannot be neglected, so it necessary solve nonlinear Pt100. At minus temperatures, formula reaches fourt...

Without any smallness assumption, we prove the global unique solvability of 2-D incompressible inhomogeneous Navier-Stokes equations with initial data in critical Besov space, which is almost energy space sense that they have same scaling terms this system.

We study the inverse boundary problem for nonlinear two photon absorption radiative transport equation. show that coefficients and scattering coefficient can be uniquely determined from albedo operator. If is absent, we do not require smallness of incoming source, reconstruction explicit.

A residual-networks family with hundreds or even thousands of layers dominates major image recognition tasks, but building a network by simply stacking residual blocks inevitably limits its optimization ability. This paper proposes a novel residual-network architecture, Residual networks of Residual networks (RoR), to dig the optimization ability of residual networks. RoR substitutes optimizing...

We examine the validity of Fokker-Planck equation with linear force coefficients as an approximation to kinetic nucleation in homogeneous isothermal multicomponent condensation. Starting a discrete balance governing temporal evolution distribution function ensemble droplets and reducing it (by means Taylor series expansions) differential form vicinity saddle point free energy surface, we have i...