The Hardy-Littlewood-Sobolev theorem for Riesz potential generated by Gegenbauer operator

WOS: 000405167200002In this paper we introduced and studied the maximal function (G-maximal function) and the Riesz potential (G-Riesz potential) generated by Gegenbauer differential operator G(gimel) = (x(2) - 1)(1/2) (-gimel) d/dx (x(2) - 1)(gimel) (+) (1/2) d/dx. The L-p,L-gimel boundedness of the G-maximal operator is obtained. Hardy-Littlewood-Sobolev theorem of G-Riesz potential on L-p,L-gimel spaces is established. (C) 2016 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.grant of the Presidium of Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS)The author was supported by the grant of the Presidium of Azerbaijan National Academy of Science 2015. The authors are grateful to the referee for very valuable comments

Contact Angle Measurement of Magnesite Mineral in Alkaline pH by Using the Simple Bubble Attachment Method

Contact angle is one of the most important parameters for the flotation process. Researchers have performed many experiments and used many different methods to determine the contact angle. In this present study, simple bubble attachment method (SBA), which was firstly utilized by Hunning and Rutter (1989), was used to determine the contact angle of magnesite mineral in the presence of various amount of collector such as oleic acid, R801, R845, sodium dodecyl sulphate and sodium oleat. According to the results of SBA, the highest degree of contact angle was obtained as 82ᵒ at the presence of oleic acid. The results of the study show that SBA method seems like a cheap and beneficial method for contact angle measurement

More than a virus: : How COVID 19 infected education in Turkey?

Purpose: We aim with this report to provide information on how the Covid-19 pandemic affected education and citizenship education in Turkey. Design: The report is based on literature review, the analysis of social media, and the observations of the authors. We provide a general framework of Turkish education after the pandemic using sources such as official statements from government offices; social media entries were analyzed to provide different perspectives. Finally, observations of the authors based on their experiences with distance learning were included in the report. Findings: We argue that despite the efforts of the state, there are still problems in the distance learning process, mainly relating to the access to online classes and the very limited room given to Covid-19 as a topic in social studies courses. In addition, we find that social media have played a significant role in increasing citizen participation as a consequence of the pandemi

Silver lining of the water: The role of government relief assistance in disaster recovery

Combining three datasets, the Australian Longitudinal Census Panel of 2006 and 2011, engineering data on flood-water height, and administrative data on government relief assistance, we investigate whether and how the government’s post-disaster relief payments helped the economic recovery from riverine floods that struck the state of Queensland in Australia in 2010/11. Using a difference-in-differences methodology that compares the flooded areas with unflooded zones within Queensland whereby the flooded zones differed in their levels of flooding and the government’s relief assistance, we find that the government’s disaster relief assistance was effective in economic recovery, having led individuals residing in flooded areas with average flood height to experience a 3.4 percent rise in (self-reported) income following the disaster, relative to those individuals living in unflooded areas of the state. Our findings are robust to a battery of sensitivity tests, including migration, parallel trends, spatial spillovers, and possible confounders

Hydraulic conductivity and undrained shear strength of clay-construction and demolition solid waste materials mixtures

The study aims to investigate the effects of three different construction and demolition materials (CDMs), including crushed waste asphalt (CWA), crushed waste bricks (CWB), and crushed waste concrete (CWC), on some geotechnical properties of low plastic clayey soil, particularly, the undrained shear strength (Su ) and the hydraulic conductivity (k). A set of experimental tests were performed on clayey soil and on clayey soil-CDM mixtures at mixing ratios of 5%, 10%, 15%, and 20% by dry weight. The results show that the soil plasticity decreases as the CDMs increase. Quantitatively, it is found a maximum of 12%, 6%, and 6% decrease in the liquid limits (LL) and a maximum of 9%, 4%, and 6% decrease in the plasticity limit (PI) of the mixtures with 20% of CWA, CWB, and CWC, respectively. The results of the Su estimated empirically from the fall cone tests show that the Su decreases as the CDMs increase. The Su reduces by approximately 10% and 2% of the mixtures with 20% CWA and CWB, respectively. But the Su is not affected by the CWC additive for water content lower than approximately 35%. The k value increases as the CDMs increase. The results show that the reported k value increases by 75%, 79%, and 247% of the mixtures with 20% of CWA, CWB, and CWC, respectively. Additionally, the k values obtained from the consolidation test confirm the findings of the effect of the CDMs on the coefficient of hydraulic conductivity. © 2021, Associacao Brasileira de Mecanica dos Solos. All rights reserved

Effect of Freeze, Oven and Microwave Pretreated Oven Drying on Color, Browning Index, Phenolic Compounds and Antioxidant Activity of Hawthorn (Crataegus orientalis) Fruit

Flowers, leaves and fruits of hawthorn plant are traditionally used for treating diseases like hypertension and atherosclerosis. The medicinal effects of the plant are generally attributed to its phenolic compounds. However, the fruits are perishable materials because of their high content of water, and generally dried and stored to be used outside its season. The main aim of this research was to investigate the effect of different drying methods on phenolic compounds of the hawthorn fruit. Fruits were collected from the wild growing trees in Turkey. De-seeded fruits were dried in freeze-, oven- (60 oC) and microwave pretreated oven drying (microwave application for 5 min at 360 W before drying at 60 oC) methods and analyzed for antioxidant activity, phenolic compounds, total phenolic content and color parameters. Total phenolic content of fresh hawthorn fruits was found as 13.36 mg g-1 DW. Oven- and microwave pretreated oven drying methods had a reductive effect on total phenolic content and antioxidant activity of fruits when compared to freeze drying method. (-)-Epicatechin (994.10 mg kg-1 DW), rutin (765.30 mg kg-1 DW), and procyanidin B2 (553.80 mg kg-1 DW) were the main phenolics of the fruit. Lowest values of these three compounds were observed in oven-dried fruits. Microwave pretreatment oven drying method resulted in browner product. Although the highest phenolic concentration and antioxidant activity were occurred in freeze-dried sample, microwave pretreatment before oven drying could be applied to reduce the time and cost of drying in terms of phenolic compounds and antioxidant activity

Use of a biopolymer for road pavement subgrade

This paper presents an extensive series of laboratory works and a prediction model on the design of a road pavement subgrade with Xanthan Gum (XG) biopolymer. The experimental works were carried out using mixtures of conventional aggregate for road pavement construction and XG at the ratios of 0%, 1%, 2%, and 5%, by dry weight. Unconfined compressive strength (UCS) and California bearing ratio (CBR) tests were conducted during the experimental works at the end of the various curing periods (4, 8, 16, and 32 days). An example of an improvement in the UCS values for a specimen with 5% XG addition tested at the end of 4-daycuring yields about a 200% increment by the end of a 32-daycuring. The CBR values of clean aggregates were found to be increased by about 300% by 5% XG addition for all curing periods applied. Furthermore, the energy absorption capacity of the aggregates was observed to be increased significantly by both XG inclusion and curing period. Moreover, scaled conjugate gradient (SCG) training algorithm-based models developed for the prediction of CBR and UCS test results displayed a very high estimation performance with the regression coefficients of R-2 = 0.967 and R-2 = 0.987, respectively. Evidently, XG biopolymer is provably of use as an alternative inclusion in road pavement subgrades constructed with conventional aggregates

Evaluation of building type adjacent structures' interacted and single seismic performances by fragility curves

M. Hasan Boduroglu (MEF Author)Mevcut yapıların deprem performans, risk ve güçlendirme analizlerinde, yanındaki yapı ile olan ilişkisini uygun modelleme teknikleri ile analiz aşamasının içine dâhil ederek, sonuçların tekbaşına analiz edilmiş binalara göre olan farklılıklarını incelemek önemli bir konu olarak ortaya çıkmaktadır. Bu çalışmada, literatürdeki komşu binaların birbirleri ile olan etkileşim modelleri, statik itme analizi ve doğrusal olmayan hesap yöntemleri, deprem ivme kayıtlarının bir veri tabanından alınması ve tasarım spektrumuna göre ölçeklenmesi, zaman tanım alanına göre hesap yöntemi, hareket denkleminin Newmark-b yöntemi ile sayısal çözümü ve kırılganlık eğrileri ile bina performans seviyelerinin belirlenmesi konuları incelenmiştir. Bitişik (komşu) ve birbirine benzer binaların, deprem performanslarının birbirileri ile olan etkileşimli ve deprem yönüne göre değişen bir şekilde yapı blokları olarak ele alınıp, hasar görebilirlik-kırılganlık eğrileri yönünden değerlendirilmeleri incelenmiş ve binaların ayrı ayrı analiz edildikleri duruma göre daha farklı sonuçlar verdiği tespit edilmiştir.The performance-based analysis for the low-storey building type structures are generally carried out, as those buildings were isolated single standing buildings with no interaction with adjacent buildings. Incorporating the interaction of the adjacent buildings in seismic performance and risk (retrofitting) analysis by using proper modelling techniques seems important by means of obtaining the deviation of the results from the conventional analysis results of isolated single modelled structures. Literature review has been carried out for the following topics; adjacent building models, push-over analysis, earthquake acceleration, time series database analysis and scaled records, time history analysis of equation of motion with Newmark-beta method and fragility curves for building performance levels. The aim of this study is the evaluation of vulnerability risk via fragility curves for seismic performance of adjacent buildings as interacting structures. Results show that interacted and isolated analysis types yields different seismic performance levels.WOS:000447831900010TR - DizinEmerging Sources Citation IndexArticleEylül2015YÖK - 2015-1

Ureteric Duplication is not a Contraindication for Robot-Assisted Laparoscopic Radical Cystoprostatectomy and Intracorporeal Studer Pouch Formation

The authors found that duplicated ureters was not a contraindication to robot-assisted laparoscopic radical cystoprostatectomy in this case