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We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting

is contained in the so-called kernel matrix, a symmetric and positive definite matrix that encodes the relative positions of all points. Specifying this matrix amounts to specifying the geometry of the embedding space and inducing a notion of similarity in the input space---classical model selection

of an individual's beliefs about his or her own or a significant other's hopes, wishes, or aspirations for the individual) signify the absence of positive outcomes, which is associated with dejection-related emotions (e.g., disappointment, dissatisfaction, sadness). In contrast, discrepancies between

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this paper, we describe an algorithm for the positioning of nodes in an ad hoc network that does not use GPS. The algorithm provides a position information to the nodes in the scenarios where an infrastructure does not exist and GPS cannot be used. GPS-free positioning is also desirable, when

efficient algorithms for computing the Hausdorff distance between all possible relative positions of a binary image and a model. We focus primarily on the case in which the model is only allowed to translate with respect to the image. Then we consider how to extend the techniques to rigid motion

proposing new semistructured data models and query languages for this purpose, this paper explores the more conservative approach of using traditional relational database engines for processing XML documents conforming to Document Type Descriptors (DTDs). To this end, we have developed algorithms

This paper examines the relation between stock returns and stock market volatility. We find evidence that the expected market risk premium (the expected return on a stock portfolio minus the Treasury bill yield) is positively related to the predictable volatility of stock returns. There is also

Positioning of mobile devices is a core requirement in many mobile computing applications. Typically, such applications use external infrastructure installed in the environment to obtain position information. Several different technologies have been investigated such as ultra sound, magnetic fields