We present a linear numerical scheme for a model of epitaxial thin film growth without slope selection. The PDE, which is a nonlinear, fourth-order parabolic equation, is the L2 gradient flow of the energy ∫ (− 2 ln(1 + |∇φ|2)+ 2 2 | φ(x)|2)dx. The idea of convex-concave decomposition of the energy functional is applied, which results in a numerical scheme that is unconditionally energy stable,...

This condition is equivalent to stochastic mixability as well as the pseudoprobability convexity (PPC) condition, both defined by Van Erven et al. (2015). To be precise, for stochastic mixability, in Definition 4.1 of Van Erven et al. (2015), take their Fd and F both equal to our F , their P equal to {P}, and ψ(f) = f∗; then strong stochastic mixability holds. Likewise, for the PPC condition, i...

Background & Aims: Precise muscle activity pattern is required to maintain normal shoulder function and any alteration in muscle activity can result in movement impairment. The purpose of this study was to assess normalized electromyography (EMG) of shoulder muscles during selected functional tasks of upper limb in patients with shoulder impingement syndrome. Methods: Test group consisted of 15...

Abstract In this paper, we study a nonlinear Dirichlet problem driven by the ( p , q )-Laplacian and with reaction that has combined effects of negative concave term an asymmetric perturbation which is superlinear on positive semiaxis resonant in one. We prove multiplicity theorem for such problems obtaining three nontrivial solutions, all sign information. Furthermore, under local symmetry con...

The human arm may be considered to be a redundant mechanism given a pointing task. As a result, multiple arm configurations can be used to complete a pointing task in which the tip of the index finger is brought to a preselected point in space. A kinematic model of the human arm with four degrees of freedom (DOF) and the synthesis of two criteria were developed as an analytical tool for studyin...

We study the problem of learning multivariate log-concave densities with respect to a global loss function. We obtain the first upper bound on the sample complexity of the maximum likelihood estimator (MLE) for a log-concave density on R, for all d ≥ 4. Prior to this work, no finite sample upper bound was known for this estimator in more than 3 dimensions. In more detail, we prove that for any ...

A probabilistic voting model with voter utility functions that are not necessarily concave is examined. When voters are polarized, there is a convexity threshold of their utility function below which policy convergence is a unique equilibrium, and above which policy divergence is a unique equilibrium. Divergent equilibrium is more likely when voters become more polarized. Social welfare is maxi...