In the present article an energy distribution function of heterogeneous solid was estimated. Energy distribution function is an important characterization for heterogeneous adsorbent. An overall adsorption quantity for a heterogeneous solid is usually expressed by a first kind of Fredholm equation, which contains unknown distribution function and local adsorption isotherm as a kernel. The calcu...

Differentiable renderers provide a direct mathematical link between an object’s 3D representation and images of that object. In this work, we develop approximate differentiable renderer for compact, interpretable representation, which call Fuzzy Metaballs. Our focuses on rendering shapes via depth maps silhouettes. It sacrifices fidelity utility, producing fast runtimes high-quality gradient in...

‎in this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎this problem consists of determining the temperature on the interior boundary curve from the cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎to this end‎, ‎the boundary integral equation method is used‎. ‎since the resulting system of linea...

semi-regular locales are extensions of the classical semiregularspaces. we investigate the conditions such that semi-regularizationis a functor. we also investigate the conditions such that semi-regularizationis a reflection or coreflection.

natural signals are continues, therefore, digitizing is an essential task enabling us to use computing tools to process them. according to the nyquist/shannon sampling theory, the sampling frequency must be at least twice the maximum frequency contained in the signal which is being sampled; otherwise, some high frequencies may be aliased and result in a bad reconstruction. the nyquist sampling ...

Abstract In recent years, the research of statistical methods to analyze complex structures data has increased. particular, a lot attention been focused on interval-valued data. classical cluster analysis framework, an interesting line clustering based fuzzy approaches. Following partitioning around medoids approach line, new model for is suggested. we propose use entropy as regularization func...