competition law as a manifestation of economic public order has also extended its controlling shadow on the commercial interactions around intellectual properties. know-how as a specific and little-known example of such assets -at least in iranian law-, isn't apart from the rules of competition law. this research in comparative attitude and regarding the specifics of innovative confidentia...

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This paper explores the quality of polynomial interpolation approximations over the sphere Sr−1 ⊂ Rr in the uniform norm, principally for r = 3. Reimer [17] has shown there exist fundamental systems for which the norm ‖Λn‖ of the interpolation operator Λn, considered as a map from C(Sr−1) to C(Sr−1), is bounded by dn, where dn is the dimension of the space of all spherical polynomials of degree...

Poly-12-hydroxystearic acid (PHSA) is widely used as a coating on colloidal spheres to provide a "hard-sphere-type" interaction. These hard spheres have been widely used in fundamental studies of nucleation, crystallization, and glass formation. Most authors describe the interaction as "nearly" hard sphere. In this paper we directly measure this interaction, using layers of PHSA adsorbed onto m...

The sphere-packing bound Esp(R) bounds the reliability function for fixed-length block-codes. For symmetric channels, it remains a valid bound even when strictly causal noiseless feedback is allowed from the decoder to the encoder. To beat the bound, the problem must be changed. While it has long been known that variable-length block codes can do better when trading-off error probability with e...

In this paper, we solve photometric stereo using machine learning. The basic idea consists in inserting a sphere in the scene to be reconstructed, and in covering both the sphere and the scene with the same paint. The images of the sphere being considered as learning data, the knowledge of the scene reflectance is not required any more to implement photometric stereo. In addition, the self-shad...

In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on the d-dimensional unit sphere. These estimates depend on Lp norms of the potential, or of its inverse, and are equivalent to interpolation inequalities on the sphere. We also characterize a semi-classical asymptotic regime and discuss how our estimates on the sphere differ from those on the Eucli...