ON ESTIMATES FOR THE DAMPED OSCILLATORY INTEGRALS

In this paper we consider estimates of the Fourier transform measures, concentrated on analytic hypersurfaces containing the of damping factor. The paper presents the solution of the problem S.D.Soggi and I.M. Stein about the optimal decay of the transformation Fourier measures with a damping factor for any analytic surfaces in three-dimensional Euclidean space

Finitely generated infinite simple groups of infinite square width and vanishing stable commutator length

It is shown that there exist finitely generated infinite simple groups of infinite commutator width and infinite square width on which there exists no stably unbounded conjugation-invariant norm, and in particular stable commutator length vanishes. Moreover, a recursive presentation of such a group with decidable word and conjugacy problems is constructed.Comment: v4: 41 pages, 6 figures rescaled at 120%; references updated, typos corrected, other minor corrections. v3: minor changes to the title, text and figures. v2: 41 pages, 6 figures; correction: Ore's conjecture was proved in 2008; 2 references added. v1: 40 pages, 6 figure

Effect of Molecular Weight and Degree of Acetylation on Adjuvantive Properties of Chitosan Derivatives

© 2018, Pleiades Publishing, Inc. The hemostatic and immunostimulating activity and cytotoxicity were determined for a number of chitosans differing in molecular weight (from 3 to 510 kDa) and degree of acetylation (from 1 to 25 mol%) that were used as adjuvants in inactivated poliomyelitic, influenza, and live influenza vaccines. It has been shown that the hemostatic activity of chitosan increased sharply with an increase in its molecular weight. In oligochitosan with a molecular weight of <16 kDa, it was smaller by a factor of 15–100 than in chitosan with a molecular weight of 20–510 kDa. The level of increase in the immunogenicity of vaccines containing oligochitosan as adjuvants was not lower than that for the vaccine including high-molecular chitosan. However, the immunostimulatory activity of oligochitosan depended on the degree of acetylation, reaching a maximum value at 6 mol%. It was shown that all oligochitosans and chitosans with a molecular mass below ~50 kDa showed almost no cytotoxicity at a concentration of ≤2.5 mg/mL, which enable their use as adjuvants for inactivated and live vaccines at the optimal ratio of molecular weight to the degree of acetylation

Russian Patent Agents as Victims of Incompetence Showed in Negotiations on Accession of Russia to the WTO

This article addresses rather interesting issue of how accession of Russia to the World Trade Organization may result in beginning of competitive struggle between Russian and foreign patent agents providing services with regard to intellectual property. The most curious point is that beginning of such competition may be possible only due to the fact that in the course of negotiations on accession of Russia to the WTO and finalizing the Schedule of specific commitments of the Russian Federation on services, the Ministry of Economic Development and Trade of Russia forgot (in the proper sense of the word) about specific legal status of patent agents provided for by Russian regulation

Rheological Behavior Features of Feedstocks with a Two-Component Wax–Polyolefin Binder Compared to Analogs Based on Polyoxymethylene

Despite the large number of studies devoted to different compositions of polymer binders for PIM technology, the actual task is still a comparative analysis of the properties of different types of binders to determine their advantages and disadvantages and optimize the compositions used. In this regard, this study aims at the identification and comparative analysis of the rheological properties of the most demanded feedstocks with binders based on polyoxymethylene and a wax–polyolefin mixture under the condition of using identical steel powder filler. The rate of change in the volume fraction of the liquid phase of the binder in the compared feedstocks with temperature change was determined by the calculation–experimental method. As shown, the temperature dependence of the viscosity of feedstocks with a binder based on a polymer blend depends on factors with variable power, i.e., the viscosity change with temperature occurs by different mechanisms with their relaxation spectra. Thus, the principle of temperature–time superposition for feedstocks with multicomponent binders is not applicable, and the study of the viscosity of such materials should involve a wide range of shear rates and temperatures using experimental methods. Capillary rheometry was used to measure the flow curves of feedstocks based on polyoxymethylene and wax–polyolefin binders. The analysis of flow curves of feedstocks showed that feedstocks with a binder of solution–thermal type of debinding have significantly lower viscosity, which is an advantage for molding thin-walled products. However, their difference of 1.5 times sensitivity to the shear rate gradient leads to their lower resistance to “jets” and liquation of components because of shear rate gradients when molding products with elements of different cross-sectional areas

INJECTION MOLDING OF STRUCTURED MULTIPHASE MATERIALS

Contemporary and future-oriented mechanical engineering requires the use of a new set of methods for processing, manufacturing, changing the state of materials implemented in the production process. In particular, the level of modern and prospective blank part production industries is largely related to the development of injection molding of structured multiphase materials - powder and granule technologies of a new generation. In this article, such widely used by foreign industry modern injection molding technologies of structured multiphase materials as the powder injection molding (PIM) technology and the thixoforming technology, are considered. A description of specific rheological effects that determined the fundamental possibility of the appearance and practical application of these technologies is given, and some of the most relevant physico-mathematical models of rheological behavior of structured multiphase materials are considered. In addition, the article demonstrates the efficiency of implementation and high potential for development of powder injection molding technology (PIM) for mass production of small-sized shaped parts in Russian Federation. The need for the development of educational programs and standards, including special disciplines and courses aimed at training technical professionals not only in the field of present commonly used technologies, but also such promising technologies as powder injection molding (PIM) and thixoforming, was noted as