• Title/Summary/Keyword: $L^1$-convergence

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ERROR ESTIMATION OVER THE POLYGONAL DOMAINS BY THE FINITE ELEMENT METHOD

  • Kim, Chang-Geun
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.311-320
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    • 2002
  • For second order linear elliptic problems over smooth domains, it is well known that the rate of convergence of the error in the $L_2$norm is one order higher than that in the $H^1$norm. For polygonal domains with reentrant corners, it has been shown in [15] that this extra order cannot be fully recovered when the h-version is used. We present theoretical and computational examples showing the sharpness of our results.

Preparation and Characterization of Palladium Nanoparticles Supported on Nickel Hexacyanoferrate for Fuel Cell Application

  • Choi, Kwang-Hyun;Shokouhimehr, Mohammadreza;Kang, Yun Sik;Chung, Dong Young;Chung, Young-Hoon;Ahn, Minjeh;Sung, Yung-Eun
    • Bulletin of the Korean Chemical Society
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    • v.34 no.4
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    • pp.1195-1198
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    • 2013
  • Nickel hexacyanoferrate supported palladium nanoparticles (Pd-NiHCF NPs) were synthesized and studied for oxygen reduction reactions in direct methanol fuel cell. The NiHCF support was readily synthesized by a comixing of $Ni(OCOCH_3)_2$ and equimolar $K_3[Fe(CN)_6]$ solution into DI water under rigorous stirring. After the preparation of NiHCF support, Pd NPs were loaded on NiHCF via L-ascorbic acid reduction method at $80^{\circ}C$. Pd-NiHCF NPs were electrochemically active for oxygen reduction reaction in 0.1 M $HClO_4$ solution. X-ray absorption near edge structure analysis was conducted to measure the white line intensity of Pd-NiHCF to verify the OH adsorption. As a comparison, carbon supported Pd NPs exhibited same white line intensity. This study provides a general synthetic approach to easily load Pd NPs on porous coordination polymers such as NiHCF and can provide further light to load Pd based alloy NPs on NiHCF framework.

Clinical research on the skin saftey of the human derived lactic acid culture (인체 유산균 배양액의 피부 안전성 임상 연구)

  • Min, Kyung-Nam
    • Journal of Industrial Convergence
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    • v.20 no.7
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    • pp.123-129
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    • 2022
  • It was to establish the usage possibility as cosmetic material by testing stimulation of Leuconostoc mesenteroides which were cultured from human scalp's dead skin cell by patching it to the skin in the form of solubilized essence. Cultured L. mesenteroides diluted to 1% concentration and essence which contains it were patched to 31 and 32 participants' back each for 24 hours and established the stimulus figures by the specialists in 30 minutes, 24 hours, and 48 hours after they were taken off. They are both revealed as non-stimuli due to the result of 0.011 and 0 points each and therefore they are safe when used as skin products. Considering the results of this test and the other previous studies which reported the L. mesenteroides as anti-allergic, antioxidant, and anti-inflammatory, L. mesenteroides is usable for cosmetics and worth further research.

A Study on Effective Range of Baseline Measurement Using Single Frequency (1 주파수에 의한 기선측정 유효범위에 관한 연구)

  • 김용일;박민호;김동현
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.12 no.2
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    • pp.163-172
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    • 1994
  • As for the baseline measurement using geodetic GPS receiver, this paper puts forth the effective measurement range of a low-priced GPS system receiving Ll frequency only. Compared with the data of baseline eliminated the ionospheric effects with L1/L2 frequencies, the results with Ll frequency approximate to those with dual frequency within the range of 15 km (the baseline discrepancy of the two methods is less than 2 cm). The results with Ll frequency are better within the range of 18 km. Based upon the analysis of data, we find that the convergence limit of integer ambiguity-applicable to double difference fixed solution- is about 18 km and the ionospheric effects have a great influence on the results when the baseline are longer than 20 km. This study also presents a standard which makes it possible to select the favorable data from the results of the GPS relative distance measurements.

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Effect of 17β-estradiol on Ecdysteroid Pathway Related Genes in the Brackish Water Flea Diaphanosoma celebensis (17β-estradiol이 기수산 물벼룩의 Ecdysteroid 경로에 미치는 영향)

  • In, Soyeon;Yoo, Jewon;Cho, Hayoung;Lee, Young-Mi
    • Journal of Marine Life Science
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    • v.5 no.2
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    • pp.35-42
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    • 2020
  • 17β-estradiol (E2) is a natural hormone secreted by ovary, and continuously discharged from household and livestock wastewater into aquatic environment. Due to its strong estrogenic activity, it has adverse effects on development and reproduction in crustacean as an endocrine disrupting chemical. Although ecdysteroid signaling pathway play a key role in development in crustacean, little information on transcriptional modulation of ecdysteroid-related genes in response to E2 is available in small crustacean. Here, we investigated the acute toxicity of E2 to obtain 24-h LCx values in the brackish water flea Diaphanosoma celebensis. Time-dependent expression patterns of seven ecdysteroid pathway - related genes (CYP314a1, EcRA, EcRB, USP, ERR, Vtg, VtgR) were further examined using quantitative real time reverse transcriptase polymerase chain reaction (qRT-PCR). As results, 24-h LC50 and LC10 values were 9.581 mg/l and 4.842 mg/l, respectively. The mRNA expression of CYP314a1, EcRA, USP, VtgR was significantly up-regulated at 12 or 24 h after exposure to E2. These findings indicate that E2 can affect their molting and reproduction by modulating the expression of ecdysteroid pathway - related in D. celebensis. This study will be useful for better understanding of molecular mode of action of endocrine disrupting chemicals on molting process in small crustacean.

The effect of Plantaginis asiaticae Folium on lipid accumulation in 3T3-L1 adipocytes by extraction conditions (추출조건에 따른 차전초 추출물이 3T3-L1 세포의 지방 축적에 미치는 영향)

  • Jeong, Mi-Jin;Kim, So-Young;Kim, Yoo-Jin;Lee, Eun-Tag;Choo, Sung-Tae;Kim, Han-Hyuk;Kim, Mi Ryeo
    • The Korea Journal of Herbology
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    • v.33 no.2
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    • pp.53-58
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    • 2018
  • Objectives : Plantaginis asiaticae Folium (PA) has been widely used in Korean medicine for treatment of liver disease, stomach troubles and inflammation. We investigated the effect of PA on lipid accumulation in 3T3-L1 according to extraction conditions. Methods : The MTT assay was employed to evaluate the cytotoxicity of PA extracted by different solvents (water, 50% ethanol, and 95% ethanol) on 3T3-L1 preadipocytes. Oil red O staining was used to identify intracellular lipid accumulation in 3T3-L1. 3T3-L1 adipocytes were treated with PA at concentration ranging in 0.1, 0.2 and $0.4mg/m{\ell}$. PA was extracted by different extraction conditions such as extraction solvents, extraction time, and extraction temperature. In addition, UPLC analysis was used for determination of candidates of active ingredients in PA. Results : 3T3-L1 preadipocytes were treated with PA extracted by different solvents (water, 50% ethanol, and 95% ethanol) and there was no cytotoxicity. Oil red O staining was employed to identify the effect of PA on lipid accumulation in 3T3-L1. In the present study, PA water extraction at $70^{\circ}C$ for 6 hours decreased greatly in lipid accumulation. The range of concentrations was 0.1, 0.2 and $0.4mg/m{\ell}$. Concentration at $0.2mg/m{\ell}$ was the most effective one among them. Candidates of active ingredients in PA were shown plantamajoside and acteoside through UPLC. Conclusions : These results suggest that the effect of PA water extraction at $70^{\circ}C$ on lipid accumulation in 3T3-L1 is superior to other extraction conditions. We suppose that plantamajoside and acteoside may be candidates of active ingredients in PA.

Optimization of mixing ratio of Polygala tenuifolia, Angelica dahurica and Elsholtzia splendens extracts for cosmetic material development (화장품 소재 개발을 위한 원지 (Polygala tenuifolia), 백지(Angelica dahurica) 및 꽃향유 (Elsholtzia splendens) 추출물의 혼합 비율 최적화)

  • Jung Seo A;Song, Ga Hyeon;Su In Park;Jung, Youn Ok
    • The Journal of the Convergence on Culture Technology
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    • v.9 no.6
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    • pp.993-1000
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    • 2023
  • Recently, enviromentally friendly natural substances derived from plants have been attracting attention as cosmetic materials, and research on various physiological activities of natural substances is being actively conducted. This study investigated the antioxidant, anti-inflammatory, moisturizing, and antibacterial effects of three types of extracts of mixtures containing different mixing ratios, Polygala tenuifolia, Angelica dahurica, and Elsholtzia splendens, known to have various physiological activities. The mixing ratio is 7 conditions (M1, 1:1:1; M2, 0.5:1.5:1; M3, 1.5:0.5:1; M4, 0.1:0.95:0.95; M5, 0.5:0.5:2; M6, 0.95 :1.95:0.1; M7, 1.45:0.1:1.45), and the optimal mixing ratio was confirmed for use as a cosmetic material. DPPH and ABTS radical scavenging activities showed scavenging abilities of 75.37% and 99.19%, respectively, at 1,000 ㎍/mL of M6. At a concentration of 200 ㎍/mL of M6, it showed 50% of nitric oxide production inhibition compared to the lipopolysaccharide-treated that induced an inflammatory response. It was confirmed that M3 and M6 produced hyaluronic acid 1.47 and 1.49 times higher than the control at a concentration of 50 ㎍/mL, respectively. Through the disc diffiusion test, the clear zone was 9.75 mm at 8 ㎍/mL of M6, confirming the inhibition of growth of staplylococcus aureus strain. Based on the above results, it is believed that the mixed extract of Polygala tenuifolia, Angelica dahurica, and Elsholtzia splendens can be used as a functional natural material for cosmetics.

Optimization for Removal of Nitrogen Using Non-consumable Anode Electrodes (비소모성 Anode(산화전극)을 이용한 질소 제거 최적화)

  • Hyunsang, Kim;Younghee, Kim
    • Clean Technology
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    • v.28 no.4
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    • pp.309-315
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    • 2022
  • Research was conducted to derive the optimal operation conditions and the optimal cathode for using a DSA electrode as an anode to minimize electrode consumption during the removal of nitrogen from wastewater by the electro-chemical method. Of the various electrodes tested as cathodes, brass was determined to be the optimal electrode. It had the highest NO3-N removal rate and the lowest concentration of residual NH3-N, a by-product when Cl is present in the solution. Investigating the effect of current density found that when the initial concentration of NO3-N was 50 mg L-1, the optimal current density was 15 mA cm-2. In addition, current densities above 15 mA cm-2 did not significantly affect the NO3-N removal rate. The effect of electrolytes on removing NO3-N and minimizing NH3-N was investigated by using Na2SO4 and NaCl as electrolytes and varying the reaction times. When Na2SO4 and NaCl are mixed at a ratio of 1.0 g L-1 to 0.5 g L-1 and reacted for 90 min at a current density of 15 mA cm-2 and an initial NO3-N concentration of 50 mg L-1, the removal rate of NO3-N was about 48% and there was no residual NH3-N. On the other hand, when using only 1.5 g L-1 of NaCl as an electrolyte, the removal rate of NO3-N was the highest at about 55% and there was no residual NH3-N.

LOW REGULARITY SOLUTIONS TO HIGHER-ORDER HARTREE-FOCK EQUATIONS WITH UNIFORM BOUNDS

  • Changhun Yang
    • Journal of the Chungcheong Mathematical Society
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    • v.37 no.1
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    • pp.27-40
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    • 2024
  • In this paper, we consider the higher-order HartreeFock equations. The higher-order linear Schrödinger equation was introduced in [5] as the formal finite Taylor expansion of the pseudorelativistic linear Schrödinger equation. In [13], the authors established global-in-time Strichartz estimates for the linear higher-order equations which hold uniformly in the speed of light c ≥ 1 and as their applications they proved the convergence of higher-order Hartree-Fock equations to the corresponding pseudo-relativistic equation on arbitrary time interval as c goes to infinity when the Taylor expansion order is odd. To achieve this, they not only showed the existence of solutions in L2 space but also proved that the solutions stay bounded uniformly in c. We address the remaining question on the convergence of higherorder Hartree-Fock equations when the Taylor expansion order is even. The distinguished feature from the odd case is that the group velocity of phase function would be vanishing when the size of frequency is comparable to c. Owing to this property, the kinetic energy of solutions is not coercive and only weaker Strichartz estimates compared to the odd case were obtained in [13]. Thus, we only manage to establish the existence of local solutions in Hs space for s > $\frac{1}{3}$ on a finite time interval [-T, T], however, the time interval does not depend on c and the solutions are bounded uniformly in c. In addition, we provide the convergence result of higher-order Hartree-Fock equations to the pseudo-relativistic equation with the same convergence rate as the odd case, which holds on [-T, T].

Comprehensive comparison of the primary and secondary metabolites and antioxidant activity of Polygoni multiflori Radix by processing methods (가공 방법에 따른 하수오의 영양성분 및 항산화 활성의 종합적인 비교)

  • Hee Yul Lee;Chung Eun Hwang;Kyung Pan Hwa;Du Yong Cho;Jea Gack Jung;Min Ju Kim;Jong Bin Jeong;Mu Yeun Jang;Kye Man Cho
    • Journal of Applied Biological Chemistry
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    • v.65 no.4
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    • pp.287-298
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    • 2022
  • This study investigated the changes in the physiochemical property, phytochemical content, nutritional content and antioxidant activity of Polygoni multiflori Radix by steam, aging, and fermentation. After processing Polygoni multiflori Radix (PMR), pH slightly decreased, while acidity increased (pH 5.70→4.78, acidity 0.23→0.29%). The reducing sugar content increased after aging and fermentation from 1.19 mg/g (PMR) to 1.40 (fermented PMR, FPMR), 1.30 (red PMR, RPMR), 1.53 (fermented red PMR, FRPMR), 1.99 (black PMR, BPMR), and 2.33 mg/g (fermented black PMR, FBPMR). Total phenolic content was highest in PMR (6.05 mg/g) and total flavonoids and maillard product were increased after aging and fermentation of PMR, and were the highest in BPMR (1.60 mg/g) and FBPMR (2.76 O.D.), respectively. The major phytochemical was 2,3,5,4'-tetrahydroxystilbene-2-0-α-glucoside, which were highest in PMR (64.9 mg/g) with 46.47 mg/g at FPMR, 33.94 mg/g at RPMR, 48.76 mg/g at FRPMR, 36.68 mg/g at BPMR and 34.35 mg/g at FBPMR. The main fatty acids and free amino acids were detected as palmitic acid (C16:0) and proline, respectively. Generally, 2,2-diphenyl-1-picrylhydrazyl and 2,2'-azino-bis (3-ethylbenzothiazoline-6-sulfonic acid) diammonium salt radical scavenging activities and FRAP reducing powers were shown high in PMR (39.06%, 98.32%, and 2.61 O.D. in extracts concentration 1.0 mg/mL), then were decreased after aging and fermentation.