We consider electrical conductance networks in which the conductors are non-ohmic, so that current is not given by a linear function of voltage. This generalizes the directed current networks of Orion Bawdon. Using convex functions, we give short proofs of the key results of Christianson and Erickson [1]. We show the well-definedness of the Dirichlet-to-Neumann map for arbitrary nonlinear condu...

This work describes a framework for dealing with attention and categorization using a robot platform consisting of an articulated stereo-head with four degrees of freedom (pan, tilt, left verge, and right verge). As a practical result of this development, the system can select a region of interest, perform shifts of attention involving saccadic movements, perform an efficient feature extraction...

Current commercial mobile navigation systems often use a predetermined scale selection schema without considering differences in spatial complexity of locations. To identify what map scales people may need and what spatial features make relevant maps stand out, we conducted an experiment on subjective map selection in a route planning task between two cities in the United States. Our results su...

In this paper, we introduce the notion of sesquilinear map on Β(H) . Based on this notion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality...