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ASYMPTOTIC VALUES OF MEROMORHPIC FUNCTIONS WITHOUT KOEBE ARCS

  • Choi, Un-Haing
    • The Pure and Applied Mathematics
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    • v.4 no.2
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    • pp.111-113
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    • 1997
  • A simple proof for the special case of the McMillan and Pommerenke Theorem on the asymptotic values of meromorphic functions without Koebe arcs is derived from the author's result on the boundary behavior of meromorphic functions without Koebe arcs.

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A study on the Scythian costume (스키타이계(係) 복식(服飾)에 대(對)한 연구(硏究))

  • Kim, Moon-Ja
    • Journal of Fashion Business
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    • v.11 no.4
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    • pp.204-220
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    • 2007
  • The background of Korean Ethnical Costume was originated from those northern mounted nomadic groups, which was Scythe style Costume Culture. Through the antique records and paintings of tombs bequests hereby describe the forms of Scythian Cotume (1) Headgear : There was Conical Cap(or Pointed Cap), Feathered Cap, and Crown. (2) Clothes : Both Men and Women wore Jacket as upper garment with leftsided collars, narrow sleeves to the length of the hip line. As lower garment, they wore the tight Trousers and Kungo(:窮袴)that was attached with gusset. (3) Belts and Boots : On the upper garment bound the leather Belts that was hanged a hook that was shaped of animal form at the end. Scythian Buckles was divided into six groups, animal-shaped, animal's head shaped, animal fight-shaped, rectangle-shaped, rectangle openwork-shaped, genre scene shaped Buckle. To the Boots, they wore leather boots. (4) Ornaments : Ornaments divided into Dress Trimming(:Gold plaques), Earrings, Necklaces(;Torques), Bracelets, Rings. Scythian Gold Plaques were divided into several types according to the shape, animal style(curved beast shape, profile shape, head reversed over its back shape), round shape, quadrilateral form, star shape, flower shape, crescent shape, bundle shape, human appearance. Earrings consisted of a plain ring and pendant ring was a middle ornament hung from it to a pendants which hung was made of heart shaped leaves of the tree, beads-linked. Scythian Torques were divided into several types according to the shape, Torque with Terminal style, Spiral style, Layers style, Crescent-shaped pectoral style, Crown style. Scythian Bracelet were divided into 4 styles according to the shape, Bracelets with ends shaped like beasts style, Spiral style, Layers style, Crown with openwork style. Rings were rhomb-shaped and animal shaped styleRings (5) Animal motifs used in Scythian ornaments appears that in some cases the work was intended to be purely ornamental, while many times the motifs had symbolic meaning (such as the successful dominance of the aggressor over the victim portrayed in the attack scenes). Magical use of symbols may have been inten-ded to guarantee the power of the aggressor.

Synthesis and Properties of Linear and Star-shaped poly(L-lactic acid)s by Direct Solution Polycondensation (직접 용액 축중합에 의한 직쇄형 및 스타형 폴리락트산의 합성과 물성)

  • Kim, Wan Jung;Lee, Sun Young;Kim, Ji-Heung;Kim, Soo Hyun;Kim, Young Ha
    • Applied Chemistry for Engineering
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    • v.10 no.7
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    • pp.1028-1034
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    • 1999
  • Poly(lactic acid) is expected to be one of the most promising biodegradable polymers. However, the high molecular weight polymer could be obtained by ring-opening polymerization process conventionally, which raises the production cost and decreases the final yield. In this study, linear and star-shaped poly(L-lactic acid)s were prepared by direct solution polycondensation method and their physical and thermal properties were examined. Tin compounds were found to be effective catalyst for the preparation of high molecular weight polymers. When 0.2g (0.5 wt % of monomer) of $SnCl_2$ and 100 mL of p-xylene were used, the polymer yield and molecular weight were relatively high. As a means to obtain higher molecular weight polymer easily in the direct polycondensation system, dipentaerythritol(dipet) or pentaerythritol(pet) was introduced as a multifunctional branching monomer to provide a star-shaped poly(lactic acid). Moderately high molecular weight polymers with the inherent viscosity values up to 1.14 dL/g(weight-average molecular weight of about 140000 by GPC) were obtained and could be cast strong and transparent films.

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Additive Drag Computation of Supersonic Inlet by Numerical Analysis on Inviscid Flow (비점성 유동 해석을 통한 초음속 흡입구의 부가항력 산출)

  • Jung, Suk Young;Lee, Jung Hwa;Kim, Min Gyu
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.43 no.5
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    • pp.387-395
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    • 2015
  • A technique for calculating the additive drag of the inlet in supersonic flow was studied using commercial CFD software, STAR-CCM+, which provides a efficient way of 3 dimensional flow analysis with polyhedron-shaped grid system. Three configurations were chosen and applied to the calculation with various flow conditions of two different free stream Mach No. and some mass flow ratios. Comparisons with results from wind tunnel test gave good agreements. Though computation were carried out with the inviscid and compressible flow around the supersonic inlet for the supercritical condition, ignoring the viscous effects is concluded to give little effects on the accuracy of the additive drag calculation and to make the calculation more efficient owing to less effort and time consumed for grid system build-up and for iteration because of less grid number and simpler boundary condition.

TRAO-TIMES: Investigating Turbulence and Chemistry in Two Star-forming Molecular clouds

  • Yun, Hyeong-Sik;Lee, Jeong-Eun;Choi, Yunhee;Evans, Neal J. II;Offner, Stella S.R.;Baek, Giseon;Lee, Yong-Hee;Choi, Minho;Kang, Hyunwoo;Cho, Jungyeon;Lee, Seokho;Tatematsu, Ken'ichi;Heyer, Mark H.;Gaches, Brandt A.L.;Yang, Yao-Lun
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.37.2-37.2
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    • 2021
  • Turbulence produces the density and velocity fluctuations in molecular clouds, and dense regions within the density fluctuation are the birthplace of stars. Also, turbulence can produce non-thermal pressure against gravity. Thus, turbulence plays a crucial roles in controlling star formation. However, despite many years of study, the detailed relation between turbulence and star formation remain poorly understood. As part of the Taeduk Radio Astronomy Observatory (TRAO) Key Science Program (KSP), "mapping Turbulent properties In star-forming MolEcular clouds down to the Sonic scale (TIMES; PI: Jeong-Eun Lee)", we mapped two star-forming molecular clouds, the Orion A and the ρ Ophiuchus molecular clouds, in six molecular lines (13CO 1-0/C18O 1-0, HCN 1-0/HCO+ 1-0, and CS 2-1/N2H+ 1-0) using the TRAO 14-m telescope. We applied the Principal Component Analysis (PCA) to the observed data in two different ways. The first method is analyzing the variation of line intensities in velocity space to evaluate the velocity power spectrum of underlying turbulence. We investigated the relation between the star formation activities and properties of turbulence. The other method is analyzing the variation of the integrated intensities between the molecular lines to find the characteristic correlation between them. We found that the HCN, HCO+, and CS lines well correlate with each other in the integral shaped filament in the Orion A cloud, while the HCO+ line is anti-correlate with the HCN and CS lines in L1688 of the Ophiuchus cloud.

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Pathologic observations on the canine mammary gland tumors and immunohistochemical study on the origin of chondroid tissue in mammary gland mixed tumors (개 유선종양의 병리학적 관찰 및 유선 혼합종양의 연골기원에 관한 면역조직화학적 연구)

  • Kim, Yong-baek;Seo, Il-bok;Kim, Jae-hoon;Bak, Eun-jung;Kim, Dae-yong;Han, Jeong-hee
    • Korean Journal of Veterinary Research
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    • v.37 no.4
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    • pp.843-854
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    • 1997
  • Sixteen mammary gland tumors were collected from Seoul National University and Kangwon National University. The average age of the bitches with mammary gland tumor was 10 years. Total 17(60.7%) out of 28 tumor masses observed in 4th and 5th glands. Classification of these tumors according to Hampe and Misdorp were simple adenoma, complex adenoma, benign mixed tumor, papillary adenocarcinoma, solid adenocarcinoma and malignant mixed tumor. Immunohistochemical reaction of the intermediate filaments against normal canine mammary gland showed as followed; anti-cytokeratin 18 was strong and anti-cytokeratin 14 was moderate to the luminal epithelium. Anti-cytokeratin 14 and anti-pancytokeratin to the myoepithelium were showed strong, but anti-vimentin was weak in reactivity. Anti-vimentin to the interstitial cells was represented strong reactivity. The origin of cartilage in mixed tumor of canine mammary gland was studied immunohistochemically with antibodies against intermediate filament. In mammary gland mixed tumors, cartilage tumor tissues were surrounded with the irregularly demarcated three zones composed of adjacent star shaped cells in myxoid areas, proliferative spindle shaped cells and basal located proliferated cells. From basal proliferated cells to star shaped cells, the immunohistochemical reactivity of myoepithelium specific anti-pancytokeratin was decreased gradually and the reactivity of interstitial cell specific anti-vimentin was increased gradually. Based on these immunohistochemical staining patterns, we suggested that the origin of cartilagenous components in canine mammary gland mixed tumor is most likely to the proliferation and metaplsia of myoepithelium.

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STUDY ON GREEN WATER BEHAVIOR ON RECTANGULAR SHAPED STRUCTURE (사각형 단면 구조물에 대한 그린워터의 생성 특성 연구)

  • Lee, K.N.;Jung, K.H.;Chae, Y.J.;Park, I.R.;Suh, S.B.
    • Journal of computational fluids engineering
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    • v.20 no.2
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    • pp.96-102
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    • 2015
  • In this study, the green water phenomena on rectangular shaped structure is numerically simulated by STAR-CCM+ to investigate the flow pattern including the velocity profiles in bubbly water flow. 5 phases of the formation of green water in front of and over the rectangular shaped structure is simulated at the design condition which is scaled down by 1:125 from FPSO operating in GOM. All numerical results are compared with the experimental results performed in a two dimensional wave flume. The water deformation due to the green water are obtained by the high speed CCD camera with employing the shadow graphy technique, which is allowed to take the bubbly water flow into images. A series of image taken by shadow graphy technique is analyzed with MQD method to calculate the velocity in bubbly water flow.

Design modification and structural behavior study of a CFRP star sensor baffle

  • Vinyas, M.;Vishwas, M.;Venkatesha, C.S.;Rao, G. Srinivasa
    • Advances in aircraft and spacecraft science
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    • v.3 no.4
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    • pp.427-445
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    • 2016
  • Star sensors are the attitude estimation sensors of the satellite orbiting in its path. It gives information to the control station on the earth about where the satellite is heading towards. It captures the images of a predetermined reference star. By comparing this image with that of the one captured from the earth, exact position of the satellite is determined. In the process of imaging, stray lights are eliminated from reaching the optic lens by the mechanical enclosures of the star sensors called Baffles. Research in space domain in the last few years is mainly focused on increased payload capacity and reduction in launch cost. In this paper, a star sensor baffle made of Aluminium is considered for the study. In order to minimize the component weight, material wastage and to improve the structural performance, an alternate material to Aluminium is investigated. Carbon Fiber Reinforced Polymer is found to be a better substitute in this regard. Design optimisation studies are carried out by adopting suitable design modifications like implementing an additional L-shaped flange, Upward flange projections, downward flange projections etc. A better configuration of the baffle, satisfying the design requirements and achieving manufacturing feasibility is attained. Geometrical modeling of the baffle is done by using UNIGRAPHICS-Nx7.5(R). Structural behavior of the baffle is analysed by FE analysis such as normal mode analysis, linear static analysis, and linear buckling analysis using MSC/PATRAN(R), MSC-NASTRAN(R) as the solver to validate the stiffness, strength and stability requirements respectively. Effect of the layup sequence and the fiber orientation angle of the composite layup on the stiffness are also studied.

Synthesis of Star-like Random Copolymers from Resorcinarene-Based Octa-Functional Alkoxyamine Initiator via Nitroxide Mediated Free Radical Polymerization

  • Abraham, Sinoj;Choi, Jae-Ho;Lee, Jin-Kyu;Ha, Chang-Sik;Kim, Il
    • Macromolecular Research
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    • v.15 no.4
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    • pp.324-329
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    • 2007
  • An octa-functional alkoxyamine initiator, with the 2,2,6,6-tetramethyl-l-piperidinyloxy (TEMPO) free radical, was synthesized based on resorcinarene, with its efficiency to initiate the nitroxide-mediated free radical copolymerization of styrene and methyl methacrylate (MMA) described. A difunctional analogue of this initiator was also synthesized, using resorcinol as the core molecule. The structures of the resulting initiators were confirmed by homolysis studies based on electron spin resonance spectroscopy and molecular modeling. The polymerization behavior and characteristics of the polymers obtained using these two initiators were also compared. Well-defined star-shaped and linear random copolymers, with low polydispersities and controlled molecular weights, were prepared. The efficiencies of these initiators towards copolymerization, as well as the parameters permitting the formation of well-defined polymers, were also investigated. The reactivity ratios were $r_a=0.42(a=styrene)\;and\;r_b=0.33(b=MMA)$ for the octa-functional initiator system and $r_a=0.45\;and\;r_b=0.39$ for the difunctional initiator system.

A Study on Elution Behavior of Polystyrene Copolymers in Gel Permeation Chromatography (겔 투과 크로마토그래피에서 폴리스티렌 혼성중합체들의 용리거동에 관한 연구)

  • Lee Dai Woon;Eum Chul Hun
    • Journal of the Korean Chemical Society
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    • v.36 no.1
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    • pp.87-94
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    • 1992
  • The elution behavior of polystyrenes(PS), polymethylmethacrylates (PMMA), polybutadienes(PB), PS-PMMA(SM) block copolymers and PS-PB star shaped copolymers on the cross-linked polystyrene gels was studied. An interpretation was proposed for the plots of log hydrodynamic volume versus retention volume of solutes in the mobile phases such as tetrahydrofuran, toluene, chloroform, methylene chloride and tetrahydrofuran-cyclohexane mixture. In order to predict the retention of solutes from their physical properties, multiple stepwise regression analysis was applied to obtain the correlation. The distribution coefficients($K_p$) of solute-gel interactions in GPC for homopolymers and PS copolymers were also obtained in terms of network-limited separation mechanism. In the cases of PS and PB, $K_p$ values approach unity, while $K_p$ values for PMMA decrease as MW increase in the good solvent, but in poor solvent, $K_p$ values increase as MW increase. $K_p$ values of PS copolymers are dependent on their MW and composition, therefore, morohology of SM block copolymer is predicted to be random phase. A single universal plot of log[η]M vs. $(V_r-V_o)/K_p$

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