Widespread use of semiconductor radiation sources in optoelectronic devices for various purposes requires further study the mechanisms formation photometric characteristics integrated device near illumination zone, where law inverted squares is violated. A mathematical model multicomponent beam-diode module proposed. On its basis analysis influence parameters separate beam on deformation indica...

We introduce and study certain deformation of Minkowski norms in [Formula: see text] determined by a set linearly independent 1-forms smooth positive function variables. In particular, the Euclidean norm produces defined our recent work; its indicatrix is rotation hypersurface with text]-dimensional axis passing through origin. For text], generalizes construction text]-norms which form rich cla...

Abstract The use of the fractional Laplacian in image denoising and regularization inverse problems has enjoyed a recent surge popularity, since for discontinuous functions it can behave less aggressively than methods based on H 1 norms, while being linear computable with fast spectral numerical methods. In this work, we examine regularized vanishing noise parameter regime. clean data is assume...

The paper introduces the approach to construction of the Lagrangian of the field (fields). This approach is based solely on the metric function of the Finsler space: the Lagrangian is constructed as the unit divided by the volume swept by the unit vector running through all the points of the indicatrix in the tangent space under the assumption of the tangent space being Euclidean. For the space...

Charles Evans We present an exposition of various results dealing with the total curvature of curves in Euclidean 3-space. There are two primary results: Fenchel’s theorem and the theorem of Fary and Milnor. Fenchel’s theorem states that the total curvature of a simple closed curve is greater than or equal to 2π, with equality if and only if the curve is planar convex. The Fary-Milnor theorem s...