In this paper, mean curvature type equations with general potentials and contact angle boundary conditions are considered. We extend the ideas of Ural’tseva, formulating sharper hypotheses for the existence of a classical solution. Corner stone for these results is a method to estimate quantities on the boundary of the free surface. We moreover provide alternative proofs for the higher-order es...

LLE is a well-known method to nonlinear dimensionality reduction. In this short paper, we present an alternative way to formulate LLE. The alignment technique is exploited to align the local coordinates on the local patches of manifolds to be the global ones. The efficient computation of embedding coordinates of LLE automatically appears in the proposed framework. 2006 Pattern Recognition Socie...

Barry Loewer sets out a “list of the most important features that laws are supposed to have” – that is, a list of propositions formulating what are widely held to be necessary truths about laws – and then he argues that, while Lewislaws (L-laws) do not make all of those propositions true, they do a better job in this regard than any alternative account of the nature of laws. Does Loewer succeed...

Recent advances concerning emerging/beginning reading skills, positive behavioral support (PBS), and three-tiered schoolwide prevention models combined with federal mandates (i.e., IDEA and No Child Left Behind) have stimulated interest in providing early and intensive instructional intervention services to children at risk for reading and behavior problems. New measures for identifying student...

Considerable attention has been paid in the CA literature to the glossing practices through which participants in conversation formulate who they are, what they are talking about, where the things they are talking about are located, and so forth. There are, of course, gestural glossing practices as well. For any concept or category presented gesturally, however, there is a range of possibilitie...

In this paper we propose a new thinking strategy directed to improve the mathematical problem–formulating process. Several specific strategies proposed by many authors are seen as techniques, related to the implementation of our strategy. The results have been applied in the Cuban mathematics teachers training.

Custom design of wideband digital array patterns requires a systematic approach to mapping design specifications to a program understandable by optimization engines. We show that, like in the narrowband case, wideband array patterns are closely related to multidimensional FIR filter responses, suggesting the adaptation of powerful and efficient filter design techniques to the array problem. Pre...