In mathematics, statistics, and computer science, particularly in the fields of machine learning inverse problems, regularization is a process introducing additional information order to solve an ill-posed problem or prevent overfitting. The Tikhonov method widely used complex problems engineering. vertical derivative gravity can highlight local anomalies separate horizontal superimposed abnorm...

In this study, the crustal structure of Central Anatolia was modeled and tectonic region investigated. For purpose, filtered satellite gravity data were evaluated with Parker-Oldenburg modelling algorithm first vertical derivative total horizontal technique. While investigating structural discontinuities at basement levels, maximum amplitudes map used. With map, new found in levels study area. ...

We consider the asymptotic behaviour of small-amplitude gravity water waves in a rectangular domain where depth is much smaller than horizontal scale. The control acts on one lateral boundary, by imposing acceleration along that as scalar input function u. state z system consists two functions: level ζ top and its time derivative ∂ t . prove solution converges to dimensional wave equation with ...

There is an error in the Materials and Methods section of this paper. Section 6, “Identification of Horizontal Gene Transfer (HGT) -derived Genes in Foc1 and Foc4,” should not appear. In addition, Lijia Guo is incorrectly designated as the corresponding author. The correct corresponding authors are: Junsheng Huang ([email protected]), Ming Peng ([email protected]), and Xiaodong Fang (fangxd@g...

Genetic control programs for scrapie in sheep build on solid knowledge of how susceptibility to scrapie is modulated by the prion protein genotype at the level of an individual sheep. In order to satisfactorily analyze the effectivity of control programs at the population level, insight is needed at the flock level, i.e., how the grouping of sheep in flocks affects the population-level transmis...

In this paper, we establish the existence and uniqueness result of the linear Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra. The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau sense.

in this paper, we establish the existence and uniqueness result of the linear schrodinger equation with marchaud fractional derivative in colombeau generalized algebra. the purpose of introducing marchaud fractional derivative is regularizing it in colombeau sense.

Hexagrid structural system is an innovated system with structural behavior which is similar to a tubular system. In this paper, a numerical study is conducted to estimate the seismic performance of horizontal hexagrid concerning the combined horizontal and vertical hexagrid, tubular and diagrid structural systems. First 30 and 50 story buildings are modeled using ETABS, then pushover and nonlin...

Abstract. We prove that for every function f : X → Y , where X is a separable Banach space and Y is a Banach space with RNP, there exists a set A ∈ Ã such that f is Gâteaux differentiable at all x ∈ S(f) \ A, where S(f) is the set of points where f is pointwise-Lipschitz. This improves a result of Bongiorno. As a corollary, we obtain that every K-monotone function on a separable Banach space is...