On an open problem for Jacobians raised by Bourgain,Brezis and Mironescu

We establish a Jacobian estimate in the context of Ginzburg–Landau theory, which was conjectured in a recent work of Bourgain, Brezis and Mironescu. To cite this article: F. Bethuel et al., C. R. Acad. Sci. Paris, Ser. I 337 (2003).     

The logic of justified belief,explicit knowledge,and conclusive evidence

We present a complete, decidable logic for reasoning about a notion of completely trustworthy (“conclusive”) evidence and its relations to justifiable (implicit) belief and knowledge, as well as to their explicit justifications. This logic makes use of a number of evidence-related notions such as availability, admissibility, and “goodness” of a piece of evidence, and is based on an innovative modification of the Fitting semantics for Artemov?s Justification Logic designed to preempt Gettier-type counterexamples. We combine this with ideas from belief revision and awareness logics to provide an account for explicitly justified (defeasible) knowledge based on conclusive evidence that addresses the problem of (logical) omniscience.     

Aspects of vortex dynamics in Ginzburg-Landau models

We survey some recent work concerning the asymptotic dynamics of vortices in the 2-dimensional parabolic Ginzburg-Landau equation, the interaction of vortices with the phase field and the limiting initial value problem for both vortices and phase. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Photochemistry of nonconjugated bichromophoric systems: Photoreduction and photoreductive polyrecombination kinetics

The kinetics of the photoreduction of benzophenone and the reductive photopolymerization of diaryl ketones are closely interrelated. The photoreductive polyrecombination presents the characteristics of a polycondensation, namely, an increase in molecular weight with reaction time. In the absence of side reactions, benzophenone and diketone Ia show identical behavior toward hydrogen abstraction, as is reflected in the di-bis rate constants of hydrogen abstraction.     

Radical block polymerization of vinyl chloride. III. Physical properties and morphology of block copolymers of PVC

Some physical properties of the block copolymers with PVC, described in Parts I and II, are discussed. The effect of chemical composition, molecular architecture, and film preparation conditions on their two-phase structure is shown. Especially in the case of high PVC content, the morphological aspect is largely influenced by the molecular architecture—pronged-fork polymer chains—and the nature of the solvent for casting. The incorporation of rubbery poly(alkyl acrylate) particles in the PVC matrix leads to an interesting stress–strain behavior. A relation between this behavior and the morphology is established.     

Detection of filamentous bulking problems: developing an image analysis system for sludge composition monitoring.

This article describes a fully automatic image analysis procedure for fast and reliable characterization of the activated sludge composition, that is, the floc and filament features. The algorithms developed for each of the analysis steps, that is, segmentation, object recognition, and characterization, are described in detail. Although the application range of the recognition method is a priori expanded by introducing a number of control parameters, the procedure proves to be intrinsically robust as it produces satisfactory results for a fixed set of parameter values for a wide variety of image types.     

Tetrachlorobisphenol-A adipate polymers. II. Spherulitic crystallization of poly(tetrachlorobisphenol-A adipate)

The spherulitic radical growth rate G of poly(tetrachlorobisphenol-A adipate) was studied at different crystallization temperatures as a function of molecular weight using an optical polarizing microscope. By assuming a two-dimensional growth mechanism, with a jump factor G₀ depending on the molecular weight, and assuming surface energy terms σ_u and σ_e essentially constant, it is possible to correlate the growth-rate data with the model of Hoffman.     

Reactions of carbethoxyalkylidenetriphenylphosphoranes with aryl azides

The title reaction has been shown to give a complex mixture of products from which triazoles (12 and 17), maleates (13), fumarates (14), triphenylphosphine oxide (15), iminophosphoranes (16) and triazenes (18) have been isolated. Their formation is rationalized by two reaction paths, involving addition of the azide onto the CC and CP bonds of the ylide. Diazoesters 5 and 19, which should result from CP addition, were not isolated, but are believed to give rise to compounds 13,14 and 18.