We present a general theory to study optimal regularity for a large class of nonlinear elliptic systems satisfying general boundary conditions and in the presence of a geometric transmission condition on the free-boundary. As an application we give a full positive answer to a conjecture of De Giorgi on the analyticity of local minimizers of the Mumford-Shah functional.

sections of history were unsaid because they happened beside facts. in these situations, minds were attracted by what is visible. as a result, few facts were ignored. in many of sources that considered fath ali shah`s iconography, his intense tendency toward using jewelries or attention to appearance defined as his diplomatic policies toward foreigners. this note has a considerable place in art...

Is it possible to build a science of natural scenes? A science that would make it possible to analyze scenes in a systematic manner, enabling us to classify,understand and predict their behavior. What we have in mind are methods that are sufficiently precise so that they can be implemented successfully by computer code. At first glance it appears unlikely that this would be possible; the variat...

We explore the function field of the jacobian JH of a hyperelliptic curve H of genus 2 in order to find reduced coordinates to represent points of JH and do arithmetic. We show how this relates to the usual Mumford representation of points of JH. Moreover we identify the open subsets of JH where our reduced coordinates are defined, characterizing the elements which can be reduced and we discuss...

For review on vitamin D: Michael F Holick, Professor of Medicine, Physiology and Biophysics and Molecular Medicine. Director, Vitamin D, Skin, and Bone Research Laboratory. Programme Director General Clinical Research Unit. Director, Biologic Effects of Light Research Centre, Director, Bone Healthcare, Boston. External Review Board: A Muruganathan, Anil K Jain, Dinesh K Dhanwal, G R Sridhar, H...