• Title/Summary/Keyword: radial solution

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HYPERSURFACES WITH PRESCRIBED MEAN CURVATURE IN MEASURE METRIC SPACE

  • Zhengmao Chen
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.4
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    • pp.1085-1100
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    • 2023
  • For any given function f, we focus on the so-called prescribed mean curvature problem for the measure e-f(|x|2)dx provided thate-f(|x|2) ∈ L1(ℝn+1). More precisely, we prove that there exists a smooth hypersurface M whose metric is ds2 = dρ2 + ρ2d𝜉2 and whose mean curvature function is ${\frac{1}{n}}(\frac{u^p}{{\rho}^{\beta}})e^{f({\rho}^2)}{\psi}(\xi)$ for any given real constants p, β and functions f and ψ where u and ρ are the support function and radial function of M, respectively. Equivalently, we get the existence of a smooth solution to the following quasilinear equation on the unit sphere 𝕊n, $${\sum_{i,j}}({{\delta}_{ij}-{\frac{{\rho}_i{\rho}_j}{{\rho}^2+|{\nabla}{\rho}|^2}})(-{\rho}ji+{\frac{2}{{\rho}}}{\rho}j{\rho}i+{\rho}{\delta}_{ji})={\psi}{\frac{{\rho}^{2p+2-n-{\beta}}e^{f({\rho}^2)}}{({\rho}^2+|{\nabla}{\rho}|^2)^{\frac{p}{2}}}}$$ under some conditions. Our proof is based on the powerful method of continuity. In particular, if we take $f(t)={\frac{t}{2}}$, this may be prescribed mean curvature problem in Gauss measure space and it can be seen as an embedded result in Gauss measure space which will be needed in our forthcoming papers on the differential geometric analysis in Gauss measure space, such as Gauss-Bonnet-Chern theorem and its application on positive mass theorem and the Steiner-Weyl type formula, the Plateau problem and so on.

Physicomechanical Properties Enhancement of Fast-Growing Wood Impregnated with Wood Vinegar Animal Adhesive

  • Efrida BASRI;SAEFUDIN;Mahdi MUBAROK;Wayan DARMAWAN;Jamal BALFAS;Yelin ADALINA;Yusuf Sudo HADI
    • Journal of the Korean Wood Science and Technology
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    • v.51 no.6
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    • pp.542-554
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    • 2023
  • This study is a continuation of our previous work, which focused on the resistance of jabon wood to termites after impregnation with wood vinegar (WV) and animal-based adhesive (kak). This paper presents the physicomechanical properties of fast-growing jabon wood impregnated with kak at two concentrations (8% and 10%) in wood vinegar or water as a solvent with and without 4% borax. The physical properties of the impregnation solution, that is, viscosity, density, pH, and solid content, were evaluated according to SNI 06-4567-1998. Some physical parameters, such as weight percent gain (WPG), density, water uptake, anti-swelling efficiency (ASE), crystallinity, and mechanical properties, i.e., modulus of elasticity (MOE), modulus of rupture (MOR), and compression strength parallel to the grain (CS), of the impregnated wood were determined. Based on these results, wood impregnated using a mixture of kak in WV presented better physical (increased WPG, density, dimensional stability, and crystallinity) and mechanical (increased MOE/MOR and compression strength) properties than wood impregnated with a water solvent or untreated wood. The wood impregnated using WV and water solvent improved the physical and mechanical properties. The density of the wood increased by 44%-58% and 32%-47%, ASE radial-tangential increased by 38%-45%; 15%-28% after 24 h of water immersion, crystallinity increased by 59%-74%; 36%, MOE increased by 46%-57%; 28%-31%, MOR increased by 29%-34%; 14%-27%, and compression strength increased by 40%-76%; 38%-72% values to untreated wood.

Solar concentrator optimization against wind effect

  • Sayyed Hossein Mostafavi;Amir Torabi;Behzad Ghasemi
    • Wind and Structures
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    • v.38 no.2
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    • pp.109-118
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    • 2024
  • A solar concentrator is a reflective surface in the shape of a parabola that collects solar rays in a focal area. This concentrator follows the path of the sun during the day with the help of a tracking system. One of the most important issues in the design and construction of these reflectors is the force exerted by the wind. This force can sometimes disrupt the stability of the concentrator and overturn the entire system. One of the ways to estimate the force is to use the numerical solution of the air flow in three dimensions around the dish. Ansys Fluent simulation software has been used for modeling several angles of attack between 0 and 180 with respect to the horizon. From the comparison of the velocity vector lines on the dish at angles of 90 to - 90 degrees, it was found that the flow lines are more concentrated inside the dish and there is a tendency for the flow to escape around in the radial direction, which indicates the presence of more pressure distribution inside the dish. It was observed that the pressure on the concave surface was higher than the convex one. Then, the effect of adding a hole with various diameter of 200, 300, 400, 500, and 600 mm on the dish was investigated. By increasing the diameter up to the optimized size of 400 mm, a decrease in the maximum pressure value in the pressure distribution was shown inside the dish. This pressure drop decreased the drag coefficient. The effect of the hole on the dish was also investigated for the 30-degree angled dish, and it was found that the results of the 90-degree case should be considered as the basis of the design.

Comparison of Myocardial Protective Effect between the Cold Blood Cardioplegia and Histidine-Tryptophan-Ketoglutarate Solution (심정지 시 냉혈 심정지액과 Histidine-Tryptophan-Ketoglutarate 용액의 심근보호 효과에 대한 비교 분석)

  • 이덕헌;금동윤;최세영;이광숙;유영선;박남희
    • Journal of Chest Surgery
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    • v.37 no.9
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    • pp.735-741
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    • 2004
  • Blood cardioplegia is known as an established cardioplegic solution during open heart surgery. Recently, the Histidine-Tryptophan-Ketoglutarate (HTK) solution has been introduced as a cardioplegia in Korea. This study was designed to compare the myocardial protective effect between the cold blood cardioplegia (CBC) and HTK solution. Material and Method: Forty patients who underwent valve surgery or coronary artery bypass surgery were randomly divided into CBC group (n=20) and HTK group (n=20). The perioperative hemodynamic and clinical data were analyzed. The concentration of CK-MB, Troponin 1 and Lactate from coronary sinus and radial arterial blood were compared for the evaluation of the myocardial damage. The postoperative serial CK-MB levels were measured. Result: The characteristics of preoperative patients were similar in two groups. The hemodynamic parameters and postoperative clinical data were also similar between the two groups. There were no statistical significances between the CBC and HTK group in the difference of biochemical markers: Δ CK-MB (15.3$\pm$26.0 vs 19.3$\pm$14.3), ΔTro-1 (2.4$\pm$4.9 vs 2.0$\pm$2.20), ΔLac (1.6$\pm$1.0 vs 1.9$\pm$2.5). The serial CK-MB levels were not significantly different between the two groups. Conclusion: These results suggested that the myocardial protective effect of HTK solution was similar to cold blood cardioplegia during open heart surgery.

TIME-SERIES PHOTOMETRY OF VARIABLE STARS IN THE GLOBULAR CLUSTER NGC 288

  • Lee, Dong-Joo;Koo, Jae-Rim;Hong, Kyeongsoo;Kim, Seung-Lee;Lee, Jae Woo;Lee, Chung-Uk;Jeon, Young-Beom;Kim, Yun-Hak;Lim, Beomdu;Ryu, Yoon-Hyun;Cha, Sang-Mok;Lee, Yongseok;Kim, Dong-Jin;Park, Byeong-Gon;Kim, Chun-Hwey
    • Journal of The Korean Astronomical Society
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    • v.49 no.6
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    • pp.295-306
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    • 2016
  • We present the results of BV time-series photometry of the globular cluster NGC 288. Observations were carried out to search for variable stars using the Korea Microlensing Telescope Network (KMTNet) 1.6-m telescopes and a 4k pre-science CCD camera during a test observation from August to December, 2014. We found a new SX Phe star and confirmed twelve previously known variable stars in NGC 288. For the semi-regular variable star V1, we newly determined a period of 37.3 days from light curves spanning 137 days. The light-curve solution of the eclipsing binary V10 indicates that the system is probably a detached system. The pulsation properties of nine SX Phe stars were examined by applying multiple frequency analysis to their light curves. We derived a new Period-Luminosity (P-L) relation, ${\langle}M_V{\rangle}=-2.476({\pm}0.300){\log}P-0.354({\pm}0.385)$, from six SX Phe stars showing the fundamental mode. Additionally, the period ratios of three SX Phe stars that probably have a double-radial mode were investigated; $P_{FO}/P_F=0.779$ for V5, $P_{TO}/P_{FO}=0.685$ for V9, $P_{SO}/P_{FO}=0.811$ for V11. This paper is the first contribution in a series assessing the detections and properties of variable stars in six southern globular clusters with the KMTNet system.

Optimization of growth conditions for cultivation of Phellinus linteus mycelia using swine waste as a growth substrate (돈분뇨를 기질로 활용한 고부가 가치 상황버섯 균사체 배양조건 최적화 연구)

  • Koo, Taewoan;Lee, Joonyeob;Cho, Kyungjin;Lee, Jangwoo;Shin, Seung Gu;Hwang, Seokhwan
    • Journal of the Korea Organic Resources Recycling Association
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    • v.23 no.2
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    • pp.53-60
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    • 2015
  • Newly, nutrients recovery by bioconversion in the swine waste which caused serious problems due to its high organic fraction and content of nutrients such as phosphorus and nitrogen is viewed as a considerable approach since it produces valuable product as well as recycling of resources. Consequently, it is necessary to find new methods to treat swine waste. One possible solution to this problem is to use this potential pollutant as a growth substrate for economically valuable products. The study for the fundamental improvement of bioconversion efficiency by finding optimum growth conditions using statistical models and biotechnology was performed. A novel approach to utilize swine waste by cultivating mycelia of the mushroom Phellinus linteus are described. A central composite face-centered design (CCF) for the experiments was used to develop empirical model providing a quantitative interpretation of the relationships among the three variables, which were substrate concentration, pH, and temperature. The maximal radial extension rate (2.78mm/d) of P.linteus was determined under the condition of 5.0 g COD/L, pH 5.0, and temperature $29.7^{\circ}C$. The results of this study suggest that swine waste could be utilized as a growth substrate for the cultivation of mushroom mycelia enhancing an efficiency of utilizing this by-product of the livestock industry.

Study on the Antioxidant Activity of Extracts from the Fruit of Elaeagnus multiflora Thunb (뜰보리수(Elaeagnus multiflora Thunb) 추출물의 항산화 효과에 관한 연구)

  • Hong Ju-Yeon;Nam Hak-Sik;Lee Yang-Suk;Yoon Kyung-Young;Kim Nam-Woo;Shin Seung-Ryeul
    • Food Science and Preservation
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    • v.13 no.3
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    • pp.413-419
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    • 2006
  • This study was investigated to analyze the antioxidant activity or extracts form Elaeagnus multiflora Thunb for development to the functional materials. The antioxidative activities of water ethanol and methanol extracts from the Elaeagnus multiflora Thunb were analyzed by electron donating ability (EDA), anti-oxidization activity, superoxide dismutase (SOD)-like activity, The superoxide anion radical-scavenging activity, and nitrite scavenging ability. The Etectron donating ability of methanol extract was higher in 1.0 mg/mL of extraction solution than those of ethers. The anti-oxidization activity of ethanol and methanol extracts by thiocyanate method using linolenic acid system was higher than those of the water extract. The SOD-like activity was increased with increase of the extract concentration in each extracts. The SOD-like activity was highest in 2.0 mg/mL of methanol extract. The superoxide anion radical-scavenging activity was increased with increase of the concentration in the ethanol extract and methanol extract. The nitrite scavenging ability of water extracts in 1.0 mg/mL of extraction soiution in pH 1.2 was higher than ethanol extrats and methanol extracts. The nitrite scavenging ability of all extracts was decreased according to increase of pH.

Environmental Factors on the Development of Root Rot on Ginseng Caused by Cylindrocarpon destructans (인삼 뿌리썩음병 발병에 미치는 환경 요인)

  • Lee, Jung Sup;Han, Kyung Sook;Lee, Seong Chan;Soh, Jae Woo;Kim, Doo Wook
    • Research in Plant Disease
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    • v.20 no.2
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    • pp.87-94
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    • 2014
  • The fungus Cylindrocarpon destructans is the cause of root rot in many ginseng production areas in Korea. A total of 57 isolates of C. destructans were recovered from diseased roots in a survey of ginseng-growing fields from 2011-2012. Among these isolates, 37% were classified as highly virulent (causing lesions on unwounded mature roots) and 61% were weakly virulent(causing lesions only on previously wounded roots). Radial growth of highly and weakly virulent isolates on potato dextrose agar was highest at $20^{\circ}C$ and there was no growth at $35^{\circ}C$. Mycelial mass production was significantly (P = 0.05) lower at pH 7.0 compared with pH 5.0. To study the effects of pH (5.0 and 7.0) and wounding on disease development, ginseng roots were grown hydroponically in nutrient solution. Lesions were significantly larger (P < 0.01) at pH 5.0 compared with pH 7.0 and wounding enhanced disease by a highly virulent isolate at both pHs. In artificially infested soil, 2-yearold ginseng roots were most susceptible to Cylindrocarpon root rot among all root ages tested (1 to 4 years) when evaluated using a combined scale of disease incidence and severity. Root rot severity was significantly (P<0.05) enhanced by increasing the inoculum density from $3.5{\times}10^2cfu/g$ of soil to $2.0{\times}10^3cfu/g$ of soil.

Microsurgical Reconstruction in Elderly Patients (노인에서의 미세수술에 의한 재건술)

  • Jun, Myung Gon;Park, Bong Kweon;Ahn, Hee Chang
    • Archives of Reconstructive Microsurgery
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    • v.9 no.1
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    • pp.1-5
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    • 2000
  • The microsurgical reconstruction is necessary for elderly patients to treat severe trauma and head and neck tumor. The aim of this study is to analyze the risks of microvascular surgery and whether or not happening of more complication in elderly patients who are older than 60 years old and to suggest the solution of the complication. The retrospective study included 41 elderly patients who underwent treatment of 44 microsurgical reconstructions among total 271 cases of microsurgical reconstruction from July, 1988 to December, 1998. Their ages ranged from 61 years to 79 years. There were 26 males and 15 females. The involved sites were 23 head and necks, 13 upper gastrointestinal tracts, 3 lower extremities, 1 chest and 1 sacral region. The causes of microsurgical reconstruction were 36 head and neck tumors, 2 radionecrosis, 2 traumas and 1 melanoma in lower limb. The used flaps were 14 radial forearm flaps, 13 jejunal flaps, 10 latissimus dorsi muscle flaps, 3 rectus abdominis muscle flaps, 2 lateral arm flaps, 1 scapular flap, and 1 iliac osteocutaneous flap. They had medical problems which were 29 tobacco abuse, 14 hypertensions, 13 alcohol abuse, 10 chronic obstructive pulmonary diseases, 7 diabetes mellituses, 3 ischemic heart diseases. All patients have had successful results without specific complications except 3 cases of free flap failure and 3 perioperative death. The causes of 3 flap failures were 2 flap necrosis due to arterial insufficiency and 1 flap loss due to secondary infection. All of these cases were treated with secondary free flap surgery. However 3 patients died perioperatively due to 2 respiratory arrests and 1 sepsis. It was not related to operate microsurgical reconstruction itself, but was correlated with the complication of postoperative care after head and neck surgery. We conclude that plastic surgeons consider the importance of prevention of expected complication as thorough analysis of operative risk factor and appropriate treatment. We had to select the donor and recipient vessel appropriately to perform successful microsurgery in elderly patients and consider vein graft and end-to-side anastomosis to reduce complication if necessary. In addition, we emphasize the importance of pre, peri and postoperative care in head and neck cancer patients to reduce postoperative complication and morbidity.

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Efficiency Analysis of Ocean Shipping Lines Using Non Radial DEA Model (비방사적 DEA 모형을 활용한 외항해운기업의 경영효율성 분석에 관한 연구)

  • Lee, Tae-Hwee;Yeo, Gi-Tae
    • Journal of Korea Port Economic Association
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    • v.31 no.1
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    • pp.37-49
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    • 2015
  • According to outstanding maritime economists from domestic and overseas, shipping lines or ships' enlargement reduce fixed costs, and assist realization of scale of economy of shipping. On the contrary, recent Korean liquidity crisis on the shipping lines (SL) has been focused on the leading companies such as Hanjin Shipping (HJS), Korealines, and STX Pan Ocean. In this respect, this study aims to review Korean SLs' strategies and suggest the optimal solution between the specialization and enlargement. For these purposes, this research adopts slack based measure data envelopment analysis (SBM-DEA) model as a research methodology. As for decision making units (DMUs), SLs which have increased the vessel numbers and belonged to top tier group in year 2013, are selected. The results are comprised with two aspects. Firstly, HJS, KMTC, Korea LNG Trading (KLT), EUKOR, and Sinokor Tanker show the most efficient in regard to constant return to scale (CRS) model. Secondly, HJS, KMTC, KLT, Daerim, Chungang, Sinnokor Tanker, and EUKOR are the most efficient companies in terms of variable return to scale (VRS) model. Lastly, these results could be affected to the management philosophy and can answer the following question. Which is the most optimized SL?s management decision making, enlargement or specialization?