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FUZZY STABILITY OF A CUBIC-QUADRATIC FUNCTIONAL EQUATION: A FIXED POINT APPROACH
Park, Choonkil,Lee, Sang Hoon,Lee, Sang Hyup The Kangwon-Kyungki Mathematical Society 2009 한국수학논문집 Vol.17 No.3
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quadratic functional equation $$(0.1)\;\frac{1}{2}(f(2x+y)+f(2x-y)-f(-2x-y)-f(y- 2x))\\{\hspace{35}}=2f(x+y)+2f(x-y)+4f(x)-8f(-x)-2f(y)-2f(-y)$$ in fuzzy Banach spaces.
Characterization of Surface Properties of Hygiene Paper by Fractal Dimension Analysis Technique
Sang-Hyup Lee,Hyoung-Jin Kim,Young-Chan Ko,Jin-Hee Lee,Jung-Yoon Park,Byoung-Geun Moon,Jong-Moon Park 한국펄프·종이공학회 2017 펄프.종이技術 Vol.49 No.6
Surface properties of paper include the surface roughness component and the surface friction component. The former component is topographical in nature while the latter is mechanical. Using a surface tester (Model: KES-SESRU, Kato Tech, Japan) with a single U-tube wire stylus, both the surface roughness and the surface friction data can be obtained simultaneously. This instrument is a contact type where the stylus touches the surface to collect 200 data points per 20 mm (or 10 points/mm) scan, corresponding to a space distance of 100 μm between two adjacent points. The data of 10 points/mm was found to be insufficient to use the variogram method for fractal dimension (FD) analysis. By connecting a logger to the instrument, 100 data points/mm, corresponding to the space distance of 10 μm, were obtained. This number was sufficient for the FD analysis of SMD (the mean deviation from the roughness average, Ra) and the MMD (the mean deviation from the mean coefficient of surface friction, MIU). Surface characteristics of six commercial toilet paper samples were examined in the present study. The results showed that the SMD had a very high correlation with the MMD, indicating that these two are closely related to each other. Meanwhile, correlation between the FD values of the SMD and the MMD was very poor. A systematic examination should be performed to explain the poor correlation. Nevertheless, it looks promising that the FD analysis technique can be applied for characterizing the surface properties of hygiene paper using a contact type surface tester such as Kawabata surface tester.
Clinicopathological Characteristics of Colon Cancer Diagnosed at Primary Health Care Institutions
( Sang Hyun Park ),( Chi Wook Song ),( Yun Bae Kim ),( Young Sun Kim ),( Hwang Rae Chun ),( Jung Hyun Lee ),( Won Jong Seol ),( Hyung Sun Yoon ),( Myung Kwon Lee ),( Jong Hyup Lee ),( Choon Sang Bhang 대한장연구학회 2014 Intestinal Research Vol.12 No.2
Background/Aims: The purpose of this study was to evaluate the clinicopathologic characteristics of colon cancers detectedat the SOK Sokpeynhan Internal Medical Network, a nationwide system of primary health care institutions. Methods: Weanalyzed 579 colon cancer patients diagnosed using colonoscopy at the SOK network from January 2011 through December2012. Cancers from the rectum to the splenic flexure were classified as left colon cancer. Patients over 65 were classified assenior. Results: The mean age (±SD) of subjects was 60.9±10.5 years and 61.1% were men. More than one quarter (28.2%) ofpatients were asymptomatic. The prevalence of left colon cancer was higher (77.9%) than that for right colon cancer. The mostfrequent macroscopic and histologic types were depressed (58.9%) and moderately differentiated adenocarcinoma (52.2%),respectively. Asymptomatic subjects displayed protruding or well differentiated adenocarcinoma, while symptomatic patientswere more likely to display depressed or moderately differentiated adenocarcinoma (P <0.05). The mean age of the right coloncancer group was higher than that for the left colon cancer group (P <0.05). Among symptomatic patients, the most frequentsymptoms were bloody stool for patients with left colon cancer and abdominal discomfort for patients with right colon cancer(P <0.05). The prevalence of depressed cancer was higher in older subjects as compared to younger subjects (P <0.05). Theprevalence of right colon cancer tended to increase with age, although this difference did not achieve statistical significance(P >0.05). Conclusions: Study results indicated an increase of colon cancer amongst younger demographics in recent years.The effectiveness of colonoscopy screening was also evident, as asymptomatic patients demonstrated frequent findings of welldifferentiated adenocarcinomas. Study results also suggested a need for closer examination of older patients, as right coloncancer tended to increase with age. (Intest Res 2014;12:131-138)
Park, Jeong-Ann,Yang, Boram,Kim, Jae-Hyun,Choi, Jae-Woo,Park, Hee-Deung,Lee, Sang-Hyup Elsevier 2018 Chemical engineering journal Vol.348 No.-
<P><B>Abstract</B></P> <P>UV-assisted advanced oxidation processes (AOPs) are promising for the removal of microcystin-LR (MC-LR), one of cyanotoxins released during harmful algal blooms. Nevertheless, the efficiency and potential of the photo-Fenton-like process (UV-C/Fe(III)/H<SUB>2</SUB>O<SUB>2</SUB>) in treating MC-LR have not been explored in much detail. In this study, MC-LR degradation efficiencies of various UV-assisted AOPs were compared that they were higher in the order: UV-C/Fe(III)/H<SUB>2</SUB>O<SUB>2</SUB> > UV-C/Fe(II)/H<SUB>2</SUB>O<SUB>2</SUB> > UV-A/TiO<SUB>2</SUB> > UV-C/H<SUB>2</SUB>O<SUB>2</SUB> > UV-C > UV-A/Fe(II)/H<SUB>2</SUB>O<SUB>2</SUB> > UV-A/H<SUB>2</SUB>O<SUB>2</SUB> > UV-A. The concentrations of Fe(III) and H<SUB>2</SUB>O<SUB>2</SUB> used in the photo-Fenton-like process were varied to evaluate their influences on MC-LR degradation in both deionized water and a water sample from Nak-Dong River, Daegu (South Korea). The highest removal efficiency (>80%) for MC-LR was achieved after 15 min by the photo-Fenton process at a low optimum Fenton reagent concentration (Fe = 0.5 mg L<SUP>−1</SUP> and H<SUB>2</SUB>O<SUB>2</SUB> = 1 mg L<SUP>−1</SUP>) in the river water. Twelve transformation products of MC-LR were identified with 1029.5, 1012.5, 1015.5, 1011.5, 965.6, 835.5, 815.4 and 783.4 <I>m</I>/<I>z</I> (two products) with the presence of four reaction sites: the conjugated diene bond of Adda, the methoxy group of Adda, the CC bond of Mdha, and the acid group of MeAsP. Theses alleviated the hepatotoxicity of MC-LR, as indicated by a protein phosphatase (PP) 2A assay. Considering the impacts of the chemistry for the treatment of river water, natural organic matter has a slightly higher impact on MC-LR degradation than the initial pH and alkalinity. The k<SUB>MC-LR</SUB> were maintained at 0.167–0.187 min<SUP>−1</SUP> and t<SUP>1/2</SUP> (min), obtained from the different river water samples, were all within 5 min in spite of the relatively high dissolved organic carbon concentrations.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Photo(UV-C)-Fenton-like is effective to remove MC-LR among UV-assisted AOPs. </LI> <LI> A low optimum Fenton reagent concentration enhanced the MC-LR removal. </LI> <LI> MC-LR transformation products and their toxicity were determined by PP2A activity. </LI> <LI> NOM has a slightly greater impact on MC-LR degradation than pH and alkalinity. </LI> <LI> k<SUB>MC-LR</SUB> ranged from 0.167 to 0.187 min<SUP>−1</SUP> in the water of the Nak-Dong River. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>
Park, Sunghwan,Kang, Woo Ram,Kwon, Hyuk Taek,Kim, Soobin,Seo, Myungeun,Bang, Joona,Lee, Sang hyup,Jeong, Hae Kwon,Lee, Jong Suk Elsevier 2015 Journal of membrane science Vol.486 No.-
<P><B>Abstract</B></P> <P>Global production for NF<SUB>3</SUB> is continuously increasing, especially due to its heavy consumption in the semiconductor industry. Even though the amount of its emission is relatively small compared to other greenhouse gases, particularly CO<SUB>2</SUB>, the relatively long atmospheric lifetime of NF<SUB>3</SUB> makes its emission cumulative, possibly contributing to the global climate change. Membrane-based separation techniques are very promising for the energy-efficient NF<SUB>3</SUB> recovery. It is, therefore, critically important to evaluate the N<SUB>2</SUB>/NF<SUB>3</SUB> separation performance by using commercial polymeric membranes. Here, for the first time, the empirical N<SUB>2</SUB>/NF<SUB>3</SUB> upper bound relationship is established by using a wide variety of commercial polymeric membranes including both glassy and rubbery polymers based on their single gas (i.e. N<SUB>2</SUB> and NF<SUB>3</SUB>) permeation characterization. Among those tested, 6FDA–DAM:DABA (3:2), Teflon<SUP>®</SUP> AF 2400 and PTMSP exhibited relatively high N<SUB>2</SUB>/NF<SUB>3</SUB> separation performance. The theoretical N<SUB>2</SUB>/NF<SUB>3</SUB> upper bound curve was also defined and found comparable with our empirical upper bound limit. In an effort to improve the N<SUB>2</SUB>/NF<SUB>3</SUB> separation performance, mixed matrix membranes were prepared by incorporating zeolitic imidazolate framework molecular sieves into Matrimid<SUP>®</SUP> 5218. The effects of solvents, particle sizes, and ligands on the transport properties in mixed matrix membranes were investigated.</P> <P><B>Highlights</B></P> <P> <UL> <LI> The empirical N<SUB>2</SUB>/NF<SUB>3</SUB> upper bound was determined by commercial polymeric membranes. </LI> <LI> The theoretical N<SUB>2</SUB>/NF<SUB>3</SUB> upper bound curve was comparable with the empirical one. </LI> <LI> PI/ZIF-8 MMMs improved N<SUB>2</SUB>/NF<SUB>3</SUB> separation performance compared to PI membranes. </LI> <LI> The effect of solvent, particle size, and ligands on transport in MMMs was studied. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>