ABSTRACT Soils are highly variable across landscapes, which can be assessed and characterized according to scale, as well fractal multifractal concepts of scale. Thus, the objective this study was analyze multifractality penetration resistance (PR) vertical profiles from different slope forms (concave convex). The experimental plot incorporated 44.75 ha, PR measured at 70 sampling points in 0-0...

Concave Mixed-Integer Quadratic Programming is the problem of minimizing a concave quadratic polynomial over the mixed-integer points in a polyhedral region. In this work we describe two algorithms that find an -approximate solution to a Concave Mixed-Integer Quadratic Programming problem. The running time of the proposed algorithms is polynomial in the size of the problem and in 1/ , provided ...

In German, the course of phrase-final rising intonation can be modelled by an interpolation between three points in the pitch contour, giving a more appropriate description than current approaches to German intonation that only include the alignment of rises and their pitch range. Within this 3-point model, the parameter range proportion produces different contour shapes: concave and convex. Th...

There is a close relationship between critical exponents for proa-bilities of events and fractal properties of paths of Brownian motion and random walk in two and three dimensions. Cone points, cut points, frontier points, and pioneer points for Brownian motion are examples of sets whose Hausdorr dimension can be given in terms of corresponding exponents. In the latter three cases, the exponent...

We present a new method for decomposing a 3D voxel shape into disjoint segments using the shape’s simplified surface-skeleton. The surface skeleton of a shape consists of 2D manifolds inside its volume. Each skeleton point has a maximally inscribed ball that touches the boundary in at least two contact points. A key observation is that the boundaries of the simplified foreand background skeleto...

In this paper, by means of τ -φ-concave (convex) operators, the existence of two positive fixed points for some nonlinear operators is considered. In particular, the fixed point theorems of the sum of a φ1-concave operator and a φ2-convex operator are obtained, our tools are based on the properties of cones and the fixed point theorem of cone expansion and compression. Our abstract results are ...

We define the concept of the generalized u0-concave operators, which generalize the definition of the u0-concave operators. By using the iterative method and the partial ordering method, we prove the existence and uniqueness of fixed points of this class of the operators. As an example of the application of our results, we show the existence and uniqueness of solutions to a class of the Hammers...

Determining the minimum distance between two convex objects is a problem that has been solved using many di¤erent approaches. Some methods rely on computational geometry techniques, while others rely on optimization techniques to ...nd the solution. Some fast algorithms sacri...ce precision for speed while others are limited in the types of objects that they can handle (e.g. linearly bound obje...