• Title/Summary/Keyword: $GL_2$

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USEFUL OPERATORS ON REPRESENTATIONS OF THE RATIONAL CHEREDNIK ALGEBRA OF TYPE 𝔰𝔩 n

  • Shin, Gicheol
    • Honam Mathematical Journal
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    • v.41 no.2
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    • pp.421-433
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    • 2019
  • Let n denote an integer greater than 2 and let c denote a nonzero complex number. In this paper, we introduce a family of elements of the rational Cherednik algebra $H^{sl_n}(c)$ of type $sl_n$, which are analogous to the Dunkl-Cherednik elements of the rational Cherednik algebra $H^{gl_n}(c)$ of type $gl_n$. We also introduce the raising and lowering element of $H^{sl_n}(c)$ which are useful in the representation theory of the algebra $H^{sl_n}(c)$, and provide simple results related to these elements.

Marginal and Internal Fit of Copings Made by CAD/CAM using Different Scanning Methods (서로 다른 스캔 방식을 이용하여 CAD/CAM에 의해 제작된 코핑의 변연 및 내면의 적합성)

  • Cho, Young Beom;Chae, Heon Chung;Kim, Hee Jung
    • Journal of Dental Rehabilitation and Applied Science
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    • v.29 no.4
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    • pp.366-376
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    • 2013
  • The purpose of this study is to evaluate the marginal and internal fit of coping made by CAD/CAM using different scanning methods. Zirconia coping was made by each CAD/CAM system followed by intra-oral scanning, model optical scanning and model contact scanning. It was embedded into Epoxy Resin and was cut by buccal to lingual. AMD (Absolute marginal discrepancy), MG (Marginal gap), GA (Gap of axial), GL (Gap of line angle) and GO (Gap of occlusal) of each sample were measured. The result is as followed; 1. The mean value of AMD in Group 1, Group 2, Group 3 are $141.21{\pm}42.94{\mu}m$, $140.63{\pm}31.64{\mu}m$, $109.37{\pm}28.42{\mu}m$. The averages of MG in Group 1, Group 2, Group 3 are $82.52{\pm}43.99{\mu}m$, $90.28{\pm}27.93{\mu}m$, $66.55{\pm}28.77{\mu}m$. Statistically there is no difference in AMD and MG among the three Groups (Anova, P>0.05). 2. GA of Group 2 revealed statistically difference compared with Group 1 and Group 3 (Anova, P<0.05). 3. GL and GO of Group 1 showed statistically significant differences compared with Group 2 and Group 3 (Mann-whitney test (P<0.05). Zirconia copings made by 3 ways of scanning methods have no difference with conventional ceramics in AMD and MG which are known as the most important factors.

Diacylglycerol Production by Enzymatic Glycerolysis of Soybean Oil. (대두유에서 글리세롤리시스 반응을 이용한 디글리세리드의 효소적 생산)

  • 박경준;안은영;권기석;김강성;강성태
    • Microbiology and Biotechnology Letters
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    • v.32 no.1
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    • pp.84-90
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    • 2004
  • Diglyceride (DG) was prepared by reaction of soybean oil and glycerol in the presence of lipase. The initial rate of DG production was greatly affected by the amount of lipase. However the DG content at equilibrium was hardly affected by the amount of lipase added to the reaction mixture. The initial rate of FFA formation was highly affected by the moisture content between 0.5 and 2.3%, but at higher water content (3.3-5.2%), there was a small increase in the rate. And DG content at equilibrium slowly increased with the increase of the water content in glycerol up to 4.4%. However, there was a sharp decrease in DG content at higher water content (5.2-6.4%) due to higher free fatty acid production. The highest yield of DC was obtained at the temperature ranges of 30-5$0^{\circ}C$. The final yield of DG was not dependent on the glycerol (GL) to triglyceride (TG) molar ratio. However, at the molar ratio of 0.75:1 (GL/TG), the enzyme-catalyzed reaction was highly efficient and utilized all the glycerol. In optimized conditions for glycerolysis a yield of approximately 45% DG was obtained. 66% of total DG was 1,3-DG.

Screen of a Novel Yeast for Brewing of Gugija Leaf Makgeolli and Optimal Alcohol Fermentation Condition (구기자 잎 막걸리 제조용 효모의 선발 및 최적 알코올 발효조건)

  • Kim, Young-Hun;Joo, Jeong-Il;Lee, Bong-Chun;Kim, Hyun-Ho;Lee, Jong-Soo
    • The Korean Journal of Mycology
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    • v.41 no.3
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    • pp.167-171
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    • 2013
  • The goal of this study was to screen a useful alcohol fermentative yeast for Gugija leaf makgeolli (Gl makgeolli) brewing and establish its optimal fermentation condition. Gugija leaves with various alcohol fermentative yeasts were added into the mixture of cooked non-glutinous rice and koji, and then fermented at $25^{\circ}C$ for 7 days. Among several Gl makgeolli, ethanol contents was the highest in Gl makgeolli made by S. cerevisiae F-1. Therefore, we selected S. cerevisiae F-1 as suitable yeast for brewing of Gl makgeolli. Gl makgelli with the best total acceptability and high antihypertensive action was obtained when cooked non-glutinous rice (120 g), boiled D.W (100 mL) and JJ koji (60.5 g/300 sp) were mixed and fermented for 2 days at $30^{\circ}C$ with S. cerevisiae F-1 (5%), and added again cooked non-glutinous rice (150 g), glutinous rice (100 g), D.W (500 mL) and Gugija leave (0.1%/cooked rice) and further fermented for 5 days at $25^{\circ}C$.

Lipid Contents and Fatty Acid Composition of Three Lipid Classes in Korean Pinenut (잣지질 성분의 분획정량 및 각 획분의 지방산 조성)

  • Kim, Myung;Rhee, Sook-Hee;Cheigh, Hong-Sik
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.13 no.4
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    • pp.406-412
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    • 1984
  • Total lipids (TL) from Korean pinenut (Pinuskoraiensis S & Z) were extracted, purified and fractionated into three lipid classes (neutral lipid: NL, glycolipid; GL, phospholipid; PL). Lipid contents(constituent components) and fatty acid composition of three lipid classes were determined by thin layer chromatography and gas chromatography. TL ranged from 69.0% to 69.8% in fresh pinenut and consisted of 95.9% to 96.7% NL, 3.2% to2.5% GL and 0.9% to 0.8% PL. In the NL, triglycerides were predominant (80.8%) with the smaller amounts of sterol, diglycerides, free fatty acids, sterol esters and hydrocarbons. Monogalactosyl diglycerides and esterified steryl glycosides (23.5%) were the major components of GL, but cerebrosides, steryl glycosides and digalactosyl diglycerides were also found as minor components. Of the PL, phosphatidyl choline (40.2%) and phosphatidyl ethanolamine (19.4%) were the major components, comprising over 60% of this class. Phosphatidyl inositol, lysophosphatidyl choline were also present in the PL. The major fatty acids in the NL were linoleic acid (48.6%), oleic acid (28.8%) and arachidic acid(14.4%), The fatty acid composition in the GL was similar to the pattern in the NL, but PL contained a higher percentage of palmitic acid (17.7%) and stearic acid (6.0%) than other lipid classes.

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Effect of Far-infrared Irradiation on the Antioxidant Activity of Extracts from Phellinus igniarius and Ganoderma lucidum (원적외선 처리가 상황버섯과 영지버섯 추출물의 항산화능에 미치는 영향)

  • Lee, Seung-Cheol;Ju, Young-Cheoul;Kim, Jeong-Han
    • Korean Journal of Food Science and Technology
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    • v.39 no.4
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    • pp.386-389
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    • 2007
  • The antioxidant activities of Phellinus igniarius (PI) and Ganoderma lucidum (GL) extracts were evaluated after far-infrared (FIR) irradiation. PI and GL were irradiated at $120^{\circ}C$ for 30, 60, 90 and 120 min with a FIR heater (2-14 ${\mu}m$), and then extracted by distilled water for 1 hr. Total sugar contents (TSC), total phenolic contents (TPC), radical scavenging ability (RSA), and reducing power (RP) were significantly increased by FIR irradiation. When PI was irradiated for 120 min, the TSC, TPC, RSA, and RP values of the PI extracts increased from 10.1 to 25.9 mg/g, 6.1 to 13.4 mg/g, 23.8 to 51.5%, and 0.222 to 0.363, respectively, compared to the untreated controls. The GL extracts, under the same conditions ($120^{\circ}C$ for 120 min), also increased in TSC, TPC, RSA, and RP from 11.1 to 22.6 mg/g, 2.5 to 5.8 mg/g, 14.5 to 18.6%, and 0.271 to 0.296, respectively. These results indicate that appropriate FIR irradiation of PI and GL could enhance the antioxidant activities of their extracts by increasing amounts of phenolic and sugar compounds.

Stability Analysis of the Excavation Slope on Soft Ground using Sheet Pile (널말뚝을 이용한 연약지반 굴착사면의 안정해석)

  • Kang, Yea Mook;Cho, Seong Seop;Lee, Dal Won
    • Korean Journal of Agricultural Science
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    • v.23 no.1
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    • pp.13-24
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    • 1996
  • The following results were obtained by analyzing the displacement, strain and stability of ground at the soft ground excavation using sheet pile. 1. Before setting the strut, the horizontal displacement was large on the upper part of excavated side, but after setting the strut, it showed concentrated phenomenon while being moved to go down to the excavated side. 2. After setting the strut, the displacement of sheet pile was rapidly decreased about a half compared with before setting the strut. The limitation of excavation depth was shown approximately GL-8m after setting double stair strut. 3. Maximum shear strain was gradually increased with depth of excavation, and local failure possibility due to shear deformation at the bottom of excavation was decreased by reinforcement of strut. 4. Maximum horizontal displacement of sheet pile at GL-7.5m was shown 0.2% of excavation depth in elasto-plastic method, and 0.6% in finite-element methods, and the maximum displacement was occurred around the bottom of excavation. 5. To secure the safety factor about penetration depth in the ground of modeling, D/H should be more than 0.89 in the case of one stair strut, and more than 0.77 in the case of double stair strut. 6. The relation of safety factor and D/H about the penetration depth was appeared, Fs=0.736(D/H) + 0.54 in the case of one stair strut, and Fs=0.750(D/H) + 0.62 in the case of double stair strut.

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DNA Rearrangement of TOL Plasmid in Pseudomonas putida PpGl Harbouring CAM Plasmid (CAM 플라스미드를 함유하는 Pseudomonas putida PpG1에서 TOL 플라스미드이 DNA 재배열)

  • 전효곤;조경연;고영희
    • Microbiology and Biotechnology Letters
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    • v.18 no.4
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    • pp.433-436
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    • 1990
  • The TOL plasmid, pWWO, conjugally transferred from Pseudomonas putida mt-2 was dissociated into TOL* and TOL $\Delta$A in P. putidu PpGl carrying CAM plasmid. The TOL* was integrated into the CAM plasmid, and the resulting plasmid was designated as CAM::TOL*. The introduction of NAH plasmid, belonging to Inc P9 incompatibility group, into P. putida CSTBA carrying CAM::TOLt plasmid and TOL A plasmid did not affect m-toluate catabolism, but resulted in expelling the TOL $\Delta$ plasmid.

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Assessment of Reynolds Stress Model for the Analysis of Floating Flames in Stagnating Flows (정체유동에서의 난류 부상 화염 해석을 위한 Reynolds 응력 모델의 검증)

  • Im, Yong-Hoon;Huh, Kang-Yul
    • Journal of the Korean Society of Combustion
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    • v.7 no.2
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    • pp.49-61
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    • 2002
  • Numerical simulation is performed for stagnating turbulent flows of impinging and countercurrent jets by the Reynolds stress model(RSM). Results are compared with those of the ${\kappa}-{\varepsilon}$ model and available data to assess the flow characteristics and turbulence modes. Three variants of the RSM tested are those of Gibson and Launder(GL), Craft and Launder(GL-CL) and Speziale, Sarkar and Gatski(SSG). As well known, the ${\kappa}-{\varepsilon}$ model overestimates turbulent kinetic energy near the wall significantly. Although the RSM is superior to the ${\kappa}-{\varepsilon}$ model, it shows considerable difference according to how the redistributive pressure-strain term is modeled. Results of the RSM for countercurrent jets are improved with the modified coefficients for the dissipation rate, $C_{{\varepsilon}1}\;and\;C_{{\varepsilon}2}$ suggested by Champion and Libby. The performance of the three variants of the RSM model for stagnating flows are assessed.

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Volume Rendering Using Multi-Textures (Multi-Textures를 이용한 Volume Rendering)

  • 박재영;이병일;최흥국
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.12a
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    • pp.169-172
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    • 2000
  • Direct volume rendering has yet been restricted to high-end graphic workstations and special-purpose hardware, due to the large amount of trilinear interpolation, that are necessary to obtain high image quality. In this paper, we implemented the volume rendering techniques using the 2D-texture at the environment of standard PC hardware. In addition, we show how multi-texturing capabilities of modern PC graphics board are enable to volume rendering. Besides using extended OpenGL function, we improved pixel operations and rendering capacity.

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