Quantity Constrained General Equilibrium

In a standard general equilibrium model it is assumed that there are no price restrictions and that prices adjust infinitely fast to their equilibrium values.In case of price restrictions a general equilibrium may not exist and rationing on net demands or supplies is needed to clear the markets.In the mid 1970s it was shown that in case of upper and lower bound restrictions on the prices there exists a quantity constrained equilibrium at which not both demand and supply of a good are rationed simultaneously and there is rationing on the net supply or net demand of a good only if the price of that good is on its lower or upper bound, respectively.For an arbitrary set of admissible prices it was recently proposed to let the rationing schemes be determined by the components of a vector being a direction in which the prices are restricted to move.When the set of restricted prices is convex and compact, it was shown that there exists a connected set of such quantity constrained equilibria, containing two trivial no-trade equilibria without trade opportunities.In this paper we refine the concept of quantity constrained equilibrium and propose a specific quantity constrained equilibrium which may serve as a general equilibrium in case of price restrictions.At this equilibrium demand rationing and supply rationing are in balance with each other, so that trade opportunities are maximal and therefore trivial no-trade and other equilibria with less trade opportunities are excluded.Moreover, in equilibrium only relative prices matter. Any homogenous transformation or normalization of the set of admissible prices yields the same set of quantity constrained general equilibria up to scaling of the price vectors.exchange economy;price restrictions;general equilibrium;rationing

Massey products in symplectic manifolds

The paper is devoted to study of Massey products in symplectic manifolds. Theory of generalized and classical Massey products and a general construction of symplectic manifolds with nontrivial Massey products of arbitrary large order are exposed. The construction uses the symplectic blow-up and is based on the author results, which describe conditions under which the blow-up of a symplectic manifold X along its submanifold Y inherits nontrivial Massey products from X ot Y. This gives a general construction of nonformal symplectic manifolds.Comment: LaTeX, 48 pages, 2 figure

Long-term trends in evolution of indels in protein sequences

BACKGROUND: In this paper we describe an analysis of the size evolution of both protein domains and their indels, as inferred by changing sizes of whole domains or individual unaligned regions or "spacers". We studied relatively early evolutionary events and focused on protein domains which are conserved among various taxonomy groups. RESULTS: We found that more than one third of all domains have a statistically significant tendency to increase/decrease in size in evolution as judged from the overall domain size distribution as well as from the size distribution of individual spacers. Moreover, the fraction of domains and individual spacers increasing in size is almost twofold larger than the fraction decreasing in size. CONCLUSION: We showed that the tolerance to insertion and deletion events depends on the domain's taxonomy span. Eukaryotic domains are depleted in insertions compared to the overall test set, namely, the number of spacers increasing in size is about the same as the number of spacers decreasing in size. On the other hand, ancient domain families show some bias towards insertions or spacers which grow in size in evolution. Domains from several Gene Ontology categories also demonstrate certain tendencies for insertion or deletion events as inferred from the analysis of spacer sizes

Yield and content of biologically active substances in blue honeysuckle fruit (Lonicera caerulea L.) grown in the Forest Steppe of Ukraine

Received: July 28th, 2022 ; Accepted: September 26th, 2022 ; Published: October 20th, 2022 ; Correspondence: [email protected] blue honeysuckle (Lonicera caerulea L.) is a relatively new crop in Ukraine, its industrial cultivation is only 100 hectares. The main constraints are the lack of varieties with high yield and nutritional value of berries. Therefore, a study of the yield and quality of introduced varieties is necessary and relevant, both for producers and breeders. With our research, we determined the potential of the early stage of blue honeysuckle berries under the conditions of their cultivation in the Forest Steppe of Ukraine and the weather conditions of the year of the specified region. We assessed how early we can get a crop and set what quality and what it will be. To clearly understand the quality of the grown fruits, their average weight, size and uniformity were studied. From nutritional indicators of fruit quality, the content of dry matter, soluble solids, sugars and titrated acids was studied, from biologically active substances, the content of vitamin C and total phenolic was determined. It was found that in the zone of the Forest Steppe of Ukraine from the studied group of varieties, the highest yield potential, 3.13 kg from a bush for the second year of fruiting and fruit mass 2.4 g, had a variety of Canadian breeding ‘Boreal Beauty’. The fruits of the cultivars ‘Duet’ (4.3) and ‘Boreal Blizzard’ (4.5) were distinguished by the balance of taste according to the sugar-acid index, and the maximum amount of total phenolics for the studied group of varieties was accumulated by the fruits of ‘Boreal Beast’ (1,000 mg 100 g-1 )

Thermal contact resistance in micromoulding.

yesThis work outlines a novel approach for determining thermal contact resistance (TCR) in micromoulding. The proposed technique aims to produce TCR predictions with known confidence values and combines experimental evidence (temperature fields and contact angle measurements) with various mathematical modelling procedures (parametric representation of surfaces, finite element analysis and stochastic processes). Here, emphasis is made on the mathematical aspects of the project. In particular, we focus on the description of the parametric surface representation technique based on the use of partial differential equations, known as the PDE method, which will be responsible for characterizing and compressing micro features in either moulds or surface tools.EPSR

Asymptotic description of solutions of the exterior Navier Stokes problem in a half space

We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressible Navier-Stokes equations in an exterior domain in a half space, with appropriate boundary conditions on the wall, the body, and at infinity. We focus on the case where the size of the body is small. We prove in a very general setup that the solution of this problem is unique and we compute a sharp decay rate of the solution far from the moving body and the wall

Scoping review of cytolytic vaginosis literature

Background: Cytolytic vaginosis (CV) is a little-known, controversial condition that is typically not considered for women presenting with vulvovaginitis symptoms. Objective: The objective of this scoping review was to identify and compile the global evidence on CV. Methods: A medical librarian searched Prospero, Wiley Cochrane Library, Ovid Embase, Ovid Medline, EBSCO CINAHL, ProQuest Dissertations and Theses Global, and Scopus, from inception to April 4, 2019 and updated to October 17, 2021. Studies were eligible if they discussed CV. Two independent reviewers conducted study selection and data extraction. Results: Sixty-four studies were identified, with 67% of studies (n = 43) published since 2007. Studies were from around the world, including the United States (28%, n = 18), Brazil (11%, n = 7), Portugal (11%, n = 7), and China (11%, n = 7). Fifty percent of studies (n = 32) were reviews; the remainder were observational; and of these, 78% (n = 25) were cross-sectional. The most frequent topics included: diagnosis (19%, n = 12), prevalence (17%, n = 11), and overview of CV (50%, n = 32). Evidence for prevalence in symptomatic women (median prevalence of 5%, interquartile range 3%-8%) was based only on 16% of studies (n = 10) with minimal evidence on prevalence in asymptomatic women and across different geographic regions. Microbiological findings, including abundant lactobacilli and fragmented epithelial cells, were found useful to distinguish between CV and vulvovaginal candidiasis, and Lactobacillus crispatus was noted to dominate the vaginal flora in women with CV. Most studies used subjective criteria to diagnose CV as the condition lacks gold-standard microscopic criteria. The suggested primary treatment (baking soda irrigations) was largely based on expert opinion, and there was minimal evidence on associations between CV and other conditions. Conclusion: Knowledge gaps currently exist in all realms of CV research. Additional research is needed to confirm the validity of CV and ensure that women are diagnosed and treated effectively.info:eu-repo/semantics/publishedVersio

[sup]1H NMR quantification of spray dried and spray freeze-dried saccharide carriers in dry powder inhaler formulations

Quantitative analysis using proton NMR (1H qNMR) has been employed in various areas such as pharmaceutical analysis (e.g., dissolution study), vaccines, natural products analysis, metabolites, and macrolide antibiotics in agriculture industry. However, it is not routinely used in the quantification of saccharides in dry powder inhaler (DPI) formulations. The aim of this study was to develop a 1H NMR method for the quantification of saccharides employed in DPI formulations. Dry powders as DPI carriers were prepared by spray drying (SD) and spray freeze drying (SFD) using three saccharides: namely D-mannitol, D-sorbitol and D-(+)-sucrose. The calibration curves constructed for all three saccharides demonstrated linearity with R2 value of 1. The 1H qNMR method produced accurate (relative error %: 0.184-3.697) and precise data with high repeatability (RSD %: 0.517-3.126) within the calibration curve concentration range. The 1H qNMR method also demonstrated significant sensitivity with low values of limit of detection (0.058 mM for D-mannitol, 0.045 mM for D-(+)-sucrose, and 0.056 mM for D-sorbitol) and limit of quantitation (0.175 mM for D-mannitol, 0.135 mM for D-(+)-sucrose, and 0.168 mM for D-sorbitol). Pulmonary deposition via impaction experiments of the three saccharides was quantified using the developed method. It was found that SFD D-mannitol (68.99%) and SFD D-(+)-sucrose (66.62%) exhibited better delivered dose (total saccharide deposition in throat and all impactor stages) than SD D-mannitol (49.03%) and SD D-(+)-sucrose (57.70%) (p< 0.05). The developed 1H qNMR methodology can be routinely used as an analytical method to assess pulmonary deposition in impaction experiments of saccharides employed as carriers in DPI formulations

The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory

Using the Hilbert-Schmidt theorem, we reformulate the R-matrix theory in terms of a uniformly and absolutely convergent expansion. Term by term differentiation is possible with this expansion in the neighborhood of the surface. Methods for improving the convergence are discussed when the R-function series is truncated for practical applications.Comment: 16 pages, Late