This paper considers the internal stability of an interconnection of two implicit systems based on passivity theory. The passivity for implicit systems is defined as a generalization of the passivity in the traditional input-output framework. We derive a necessary and sufficient condition for the passivity of an implicit system in terms of a constrained linear matrix inequality (CLMI). Based on...

BACKGROUND Implicit racial bias denotes socio-cognitive attitudes towards other-race groups that are exempt from conscious awareness. In parallel, other-race faces are more difficult to differentiate relative to own-race faces--the "Other-Race Effect." To examine the relationship between these two biases, we trained Caucasian subjects to better individuate other-race faces and measured implicit...

Given the importance of setting accurate expectations of robot capabilities in humans, we explore how people form implicit judgments toward a robot over a prolonged interaction. In our study, we created a live interaction between a robot deli cashier and a human customer. The robot displays a competent behavior followed by another competent behavior (Condition A), an incompetent behavior (Condi...

In this paper, a novel model driven segmentation approach for thoracic MR-images is presented. The goal of this work is to coarsely, but fully automatically localize the boundary surfaces of the heart and lungs in thoracic MR sets. The major organs in the thorax are described in a three-dimensional analytical model template by combining a set of fuzzy implicit surfaces by means of Constructive ...

Field studies on HIV risk suggest that people may rely on impressions they have about the safety of their partner at the dispense of more objective risk protection strategies. In this study, ERP recordings were used to investigate the brain mechanisms that give rise to such impressions. First, in an implicit condition, participants viewed a series of photographs of unacquainted persons while pe...

Option contracts can be valued by using the Black-Scholes equation, a partial differential equation with initial conditions. An exact solution for European style options is known. The computation time and the error need to be minimized simultaneously. In this paper, the authors have solved the Black-Scholes equation by employing a reasonably accurate implicit method. Options with known analytic...

We consider numerical solution of Coupled Nonlinear Schrödinger Equation. We prove stability and convergence in the L2 space for an explicit scheme which estimations is used for implicit scheme and compare both method. As a test we compare numerical solutions of Manakov system with known analytical solitonic solutions and as example of general system evolution of two impulses with different gro...

The alternating direction method of Peaceman and Rachford is considered for elliptic difference schemes of second order and with two independent variables. An earlier result of the author's on the rapid convergence of multi-parameter noncommutative problems is described and a connection is established between that result and theorems on optimal scaling of band matrices. Simple algorithms to dec...