We explore planar random walk conditioned to avoid its past convex hull. We prove that it escapes at a positive lim sup speed. Experimental results show that fluctuations from a limiting direction are on the order of n. This behavior is also observed for the extremal investor, a natural financial model related to the planar walk. Figure 1: 300 steps of the rancher

When implementing Delaunay tessellation in 3D, a number of engineering decisions must be made about update and location algorithms, arithmetics, perturbations, and representations. We compare five codes for computing 3D Delaunay tessellation: qhull, hull, CGAL, pyramid, and our own tess3, and explore experimentally how these decisions affect the correctness and speed of computation, particularl...

objectives: scaling and root planing (srp) is one of the most commonly used procedures during periodontal treatment. the aim of this study was to evaluate the root surface roughness after srp with erbium: yttrium aluminum garnet (er:yag) laser compared to ultrasonic and hand instruments.   materials and methods: in this experimental study, 56 extracted sound single-rooted teeth with moderate le...

The submarine is usually affected by free surface and the navigation resistance increases when sailing near surface. In order to study specific characteristics of surface, SUBOFF with appendages was taken as research object, calculation model built based on Star CCM+ fluid simulation software, coefficients under different depths speeds were calculated. Through comparative analysis, influence de...

AIM To compare the outcomes of surgical periodontal therapy with and without initial scaling and root planing. METHODS Twenty-four patients with severe chronic periodontitis were enrolled in this pilot, randomized controlled clinical trial. Patients were equally allocated into two treatment groups: Control group was treated with scaling and root planing, re-evaluation, followed by Modified Wi...

OBJECTIVE The aim of this study was to evaluate clinical efficacy of InGaAsP diode laser as adjunct to traditional scaling and root planing. BACKGROUND DATA The use of laser is one of the most recent methods in nonsurgical periodontal treatment. Efficacy and side effects of each type of laser treatment have yet to be determined. METHODS Thirty patients suffering from moderate periodontal di...

The problems of re-configuration and re-planing in multi-agent systems exploring acquaintance models of their behavior are discussed throughout this paper. Both the autonomous and supervised methods of replaning are distinguished. The advantages of the tri-base acquaintance models used in the ProPlanT production planning system for solving the reconfiguration and re-planing tasks are sketched.

Abstract The goal of this study is to develop a prediction method recognize the wake field behind ship using convolutional neural network (CNN) model. First, new representation for 3D curved surface proposed suitable CNN, called an image-based hull form (IHR). advantages are high fidelity its more than 20,000 input data points and fast speed, which requires less 0.01 s task that traditionally t...