Multialgebraic Systems in Information Granulation

In different fields a conception of granules is applied both as a group of elements defined by internal properties and as something inseparable whole reflecting external properties. Granular computing may be interpreted in terms of abstraction, generalization, clustering, levels of abstraction, levels of detail, and so on. We have proposed to use multialgebraic systems as a mathematical tool for synthesis and analysis of granules and granule structures. The theorem of necessary and sufficient conditions for multialgebraic systems existence has been proved

29Si NMR Model Dissolution Study of the Degradation of Reversed Phases for High-Performance Liquid Chromatography

To simulate aging under chromatog. conditions, mono-, di-, and trifunctional octyl and octadecyl derivatized reversed-phase high-performance liq. chromatog. silicas were exposed to very aggressive mobile phases like the medium of 6 M NaOH in MeOH/H2O (50/50 vol./vol.). 29Si NMR was used to study the dissoln. characteristics of these phases by monitoring the concns. of the dissolving silane and silica structures. Dissoln. products of alkylchlorosilanes were used as model compds. for assignment purposes. Octadecyl phases appeared to degrade by dissoln. of the silica substrate; octadecylsilane structures were insol. under the exptl. conditions. Monofunctional octyl phases were shown to deteriorate through initial dissoln. of monomeric ligand silane particles, wheres for difunctional octyl phases, the silica backbone appeared to dissolve with the silane ligands still attached. The latter mechanism was also obsd. for the trifunctional octyl phases, but these phases resemble octadecyl phases, probably because the free ligand silane particles are almost insol. and the major cause of phase degrdn. is dissoln. of the silica substrat

On difunctions

The notion of a difunction was introduced by Jacques Riguet in 1948. Since then it has played a prominent role in database theory, type theory, program specification and process theory. The theory of difunctions is, however, less known in computing than it perhaps should be. The main purpose of the current paper is to give an account of difunction theory in relation algebra, with the aim of making the topic more mainstream. As is common with many important concepts, there are several different but equivalent characterisations of difunctionality, each with its own strength and practical significance. This paper compares different proofs of the equivalence of the characterisations. A well-known property is that a difunction is a set of completely disjoint rectangles. This property suggests the introduction of the (general) notion of the “core” of a relation; we use this notion to give a novel and, we believe, illuminating characterisation of difunctionality as a bijection between the classes of certain partial equivalence relations

Pointfree foundations for (generic) lossless decomposition

This report presents a typed, “pointfree” generalization of relational data depen- dency theory expressed not in the standard set-theoretic way, “a` la Codd”, but in the calculus of binary relations which, initiated by De Morgan in the 1860s, is the core of modern algebra of programming. Contrary to the intuition that a binary relation is just a particular case of an n- ary relation, this report shows the effectiveness of the former in “explaining” and reasoning about the latter. Data dependency theory, which is central to relational database design, is addressed in pointfree calculational style instead of reasoning about (sets of) tuples in conventional “implication-first” logic style. It turns out that the theory becomes more general, more structured and sim- pler. Elegant expressions replace lengthy formulæ and easy-to-follow calculations replace pointwise proofs with lots of “· · ·” notation, case analysis and natural lan- guage explanations for “obvious” steps. In particular, attributes are generalized to arbitrary (observation) functions and the principle of lossless decomposition is established for arbitrary such functions. The report concludes by showing how the proposed generalization of data dependency theory paves the way to interesting synergies with other branches of computer science, namely formal modeling and transition systems theory. A number of open topics for research in the field are proposed as future work.Fundação para a Ciência e a Tecnologia (FCT

An adaptive learning algorithm for a neuro-fuzzy network. Ed. by B. Reusch "Computational Intelligence. Theory and Applications

Abstract: In different fields a conception of granules is applied both as a group of elements defined by interna

A New Composite Restorative Based on a Hydrophobic Matrix

A hydrophobic restorative composite based on a fluorocarbon analog of an alkyl methacrylate and a bisphenol adduct was formulated into a one-paste system, which polymerized in the presence of blue light. Physical, mechanical, and water-related properties were determined. High contact angles and low water sorption were shown by the experimental composite. Capillary penetration of oral fluids around restorations, therefore, could be prevented in the presence of this highly hydrophobic surface. The physical and mechanical properties of the experimental composite were either comparable to or somewhat less favorable than commercial Bis-GMA composites.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/67042/2/10.1177_00220345790580100401.pd

Polyglycidol, Its Derivatives, and Polyglycidol-Containing Copolymers—Synthesis and Medical Applications

Polyglycidol (or polyglycerol) is a biocompatible polymer with a main chain structure similar to that of poly(ethylene oxide) but with a –CH2OH reactive side group in every structural unit. The hydroxyl groups in polyglycidol not only increase the hydrophilicity of this polymer but also allow for its modification, leading to polymers with carboxyl, amine, and vinyl groups, as well as to polymers with bonded aliphatic chains, sugar moieties, and covalently immobilized bioactive compounds in particular proteins. The paper describes the current state of knowledge on the synthesis of polyglycidols with various topology (linear, branched, and star-like) and with various molar masses. We provide information on polyglycidol-rich surfaces with protein-repelling properties. We also describe methods for the synthesis of polyglycidol-containing copolymers and the preparation of nano- and microparticles that could be derived from these copolymers. The paper summarizes recent advances in the application of polyglycidol and polyglycidol-containing polymers as drug carriers, reagents for diagnostic systems, and elements of biosensors