The goal of this paper is to investigate the curves intersected by a vertical plane with surfaces based on certain NCP functions. convexity and differentiability these are studied as well. In most cases, inflection points cannot be expressed exactly. Therefore, we instead estimate interval where convex under situation. Then, help convexity, obtain local minimum or maximum accordingly. study ver...

The three-dimensional (3D) structure prediction of proteins is an important task in bioinformatics. Finding energy functions that can better represent residue-residue and residue-solvent interactions is a crucial way to improve the prediction accuracy. The widely used contact energy functions mostly only consider the contact frequency between different types of residues; however, we find that t...

We describe a principal component analysis (PCA) method for functional magnetic resonance imaging (fMRI) data based on functional data analysis, an advanced nonparametric approach. The data delivered by the fMRI scans are viewed as continuous functions of time sampled at the interscan interval and subject to observational noise, and are used accordingly to estimate an image in which smooth func...

This paper introduces a methodology for soil slope stability analysis based on optimization, limit equilibrium principles and method of slices. In this study, the slope stability analysis problem is transformed into a constrained nonlinear optimization problem. To solve that, a Self-Adaptive Genetic Algorithm (GA) is utilized. In this study, the slope stability safety factors are the objective ...

Sections 12, 13, and 14 in the second version are new, and the numbering of the other sections has changed accordingly. We have also added a comment on weakened martingale conditions (16) in Section 3. In Theorem 1, it is stated now that the result holds not only for p−norms but for Burkholder’s functions u. Of course, the method of proof is that one first obtains the result for the functions u...

Using hybrid simulations, we examine how particles can diffuse across the Earth’s magnetopause because of finite Larmor radius effects. We focus on tangential discontinuities and consider a reversal of the magnetic field that closely models the magnetopause under southward interplanetary magnetic field. When the Larmor radius is on the order of the field reversal thickness, we show that particl...

This paper compares n-dimensional random vectors in terms of their interdependence. We adopt the stochastic dominance approach, relating orderings of interdependence expressed directly in terms of joint probability distributions to orderings expressed indirectly through properties of objective functions whose expectations are used to evaluate distributions. Since the expected values of additive...

Classically, any absolute continuous real function is of bounded variation and hence can always be expressed as a difference of two increasing continuous functions (socalled Jordan decomposition). The effective version of this result is not true. In this paper we give a sufficient and necessary condition for computable real functions which can be expressed as two computable increasing functions...