Approximation of functions of two variables by certain linear positive operators

We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an $r$th order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.Comment: 13 page

Romancing the ordeal : representations of pain and suffering in Middle English metrical romances

This thesis concentrates on the representations of pain and suffering in forty-five Middle English metrical romances. This excludes certain Arthurian and non-anonymous material. It comprises an introduction, five chapters, and an index of themes related to suffering, categorizing the suffering theme in metrical romances.The introduction deals with the definitions, authorship, audience, classification, manuscript contexts and indexes of metrical romances, so as to contextualize the current work. The first chapter categorizes the villains and focuses on the reasons for villainy and the nature of domestic and stranger villains, who are inherently evil, have reasons to be villainous, or who act as a catalyst to initiate villainy, distinguishing them from good villains who victimize unintentionally. It also examines how villainies are punished. The second and the third chapters concentrate on female and male victims respectively, and explore the nature and reactions of victims, how victims respond to their ordeals (either in a submissive or resistant fashion) and the representations of self-victimizers. The functions of domestic and stranger relievers of suffering are also considered. The fourth chapter discusses how Middle English metrical romances make use of journeys in the form of enforced exile, self-exile, quest and pilgrimage. The fifth chapter examines how divine interferences and supernatural agents function in the representations of pain and suffering, while paying attention to the significance of dreams in relation to suffering, and the representations of ordeals in the fairy world.The index categorizes the conventional romance characters and circumstances with particular relation to the representations of suffering. It is also intended to serve as a research tool for scholars studying ordeals in Middle English romances, or romances in general

Environmental urbanization assessment using gis and multicriteria decision analysis: a case study for Denizli (Turkey) municipal area

In recent years, life quality of the urban areas is a growing interest of civil engineering. Environmental quality is essential to display the position of sustainable development and asserts the corresponding countermeasures to the protection of environment. Urban environmental quality involves multidisciplinary parameters and difficulties to be analyzed. The problem is not only complex but also involves many uncertainties, and decision-making on these issues is a challenging problem which contains many parameters and alternatives inherently. Multicriteria decision analysis (MCDA) is a very prepotent technique to solve that sort of problems, and it guides the users confidence by synthesizing that information. Environmental concerns frequently contain spatial information. Spatial multicriteria decision analysis (SMCDA) that includes Geographic Information System (GIS) is efficient to tackle that type of problems. This study has employed some geographic and urbanization parameters to assess the environmental urbanization quality used by those methods. The study area has been described in five categories: very favorable, favorable, moderate, unfavorable, and very unfavorable. The results are momentous to see the current situation, and they could help to mitigate the related concerns. The study proves that the SMCDA descriptions match the environmental quality perception in the city. © 2018 Erdal Akyol et al

Investigation of the Effects of Coil Spring on Discharge Tube

In Hermetic Compressors, one of the vibration transmission paths from main body to the shell is discharge tube. The main parts of discharge tube are tube part, coil spring on the tube and resonator cap. The end which is mounted to main body is excitation point. The point that tube is fixed to the shell is evaluation point to investigate the transmitted vibration energy to the shell. The coil spring on the tube has two main effects on tube. One of them is the mass effect. In usage of coil spring creates additional mass to the discharge tube and it causes change of natural frequency of discharge tube. The other one is the damping effect. Coil spring on discharge tube creates impact damping effect and reduces kinetic energy of vibrating discharge tube. The coil spring parameters such as spring length, location, diameter, clearance distance, and spring constant which are effects vibration and acoustics characteristics of compressor therefore these parameters should be determined carefully. In this paper, effects of coil spring and coil spring parameters on vibration and acoustic characteristics of compressor are studied numerically and experimentally. The numerical model is verified by using experimental results and then by using this numerical model, works on parameters will be done

Zur Lösung der Kurdenfrage

Abstract In dieser Arbeit wird versucht, Antworten auf die folgenden Fragen zu finden: Welche wirtschaftlichen-, rechtlichen- und sozialen Probleme herrschen aufgrund des bewaffneten Konfliktes in Ost- und Südostanatolien und welche Maßnahmen können diese Probleme beseitigen, um die Kurdenfrage zu lösen? Die Arbeit ist in zwei große Bereiche gegliedert, wobei im ersten Teil der Schwerpunkt auf der politischen, rechtlichen und wirtschaftlichen Diskussion liegt. Der politische Teil beschäftigt mit der friedlichen Lösung der Frage auf politischer Ebene. Die rechtliche Diskussion beinhaltet unter anderem die Verfassung, das Wahl- und Parteienrecht und beschreibt schließlich zwei Maßnahmen – aktive Beteiligung des Volkes an der politischen Führung und ein eigenes „Gericht für Menschenrechte“ nach dem Vorbild des Europäischen Gerichtshofes für Menschenrechte. Im wirtschaftlichen Teil liegt das Augenmerk insbesondere auf der Land- und Viehwirtschaft, Tourismus und Handel mit den Grenzstaaten. Im zweiten großen Teil liegt der Schwerpunkt der Diskussion auf sozialpolitischen Aspekten. Diese Umfassen das Konzept zur Lösung von Armut, weiter wird auf die Bedeutung von Bildung, Gesundheit und Sozialdienstleistungen eingegangen. Am Ende eines jeden Kapitels werden Maßnahmen zur Lösung der Probleme in den diskutierten Bereichen vorgeschlagen

In Situ Synthesis of Polymer/Clay Nanocomposites by Type II Photoinitiated Free Radical Polymerization

Cataloged from PDF version of article.A new synthetic route for the preparation of poly(methyl methacrylate)/montmorillonite (PMMA/MMT) nanocomposites was reported. In this method, first 4-(dimethylamino)benzoate group was incorporated into silicate layers of clay by esterification reaction and used to produce PMMA/MMT nanocomposites by in situ Type II photoinitiated free radical polymerization. In situ photopolymerization of methyl methacrylate through into the silicate layers by either visible or UV light irradiation leads to PMMA/MMT nanocomposites. Copyright © 2011 Wiley Periodicals, Inc

SOCIAL SUPPORT PROMOTES MENTAL HEALTH DURING THE COVID-19 OUTBREAK: A CROSS-SECTIONAL STUDY FROM TURKEY

Background: Coronavirus-19 (COVID-19) has several negative effects on mental health, given its rapid transmission, hygiene and isolation measures and associated social and financial difficulties. In this study, we aimed to investigate the mental health burden of the Turkish population and vulnerable groups during the COVID-19 outbreak, especially exploring the effects of social support. Subjects and methods: We assessed depression, anxiety, stress symptoms and perceived social support among 894 people all over Turkey, using the Depression Anxiety Stress Scales (DASS-21) and Multidimensional Scale of Perceived Social Support (MSPSS) two months after the declaration of the first COVID-19 case in Turkey. Results: According to DASS-21 subscale scores, the findings showed that the prevalence of moderate to severe depression, anxiety and stress-related symptoms was 24.8%, 21.9% and 12.6%, respectively. Female gender, being single, having a lifetime psychiatric disorder, lower education level and financial concerns were significantly associated with higher DASS-21 scores. Also, there was a negative correlation between all subgroups of perceived social support, especially from the family, and the total DASS-21 score. Conclusions: Vulnerable groups should be identified and protected to reduce adverse psychiatric outcomes of COVID-19. Besides, further strategies should be provided to maintain protective factors, such as social support, under stressful conditions