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REMARKS ON NONSPECIAL LINE BUNDLES ON GENERAL κ-GONAL CURVES

  • CHOI, YOUNGOOK;KIM, SEONJA
    • Journal of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.991-1001
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    • 2015
  • In this work we obtain conditions for nonspecial line bundles on general ${\kappa}$-gonal curves failing to be normally generated. Let L be a nonspecial very ample line bundle on a general ${\kappa}$-gonal curve X with ${\kappa}{\geq}4$ and $deg\mathcal{L}{\geq}{\frac{3}{2}}g+{\frac{g-2}{{\kappa}}}+1$. If L fails to be normally generated, then L is isomorphic to $\mathcal{K}_X-(ng^1_{\kappa}+B)+R$ for some $n{\geq}1$, B and R satisfying (1) $h^0(R)=h^0(B)=1$, (2) $n+3{\leq}degR{\leq}2n+2$, (3) $deg(R{\cap}F){\leq}1$ for any $F{\in}g^1_k $. Its converse also holds under some additional restrictions. As a corollary, a very ample line bundle $\mathcal{L}{\simeq}\mathcal{K}_X-g^0_d+{\xi}^0_e$ is normally generated if $g^0_d{\in}X^{(d)}$ and ${\xi}^0_e{\in}X^{(e)}$ satisfy $d{\leq}{\frac{g}{2}}-{\frac{g-2}{\kappa}}-3$, supp$(g^0_d{\cap}{\xi}^0_e)={\phi}$ and deg$(g^0_d{\cap}F){\leq}{\kappa}-2$ for any $F{\in}g^1_k$.

Optimum Design and Characterization of F-theta lens by a 3D Printer(II) (초점보정 렌즈설계 및 3D 프린터 이용 가공 특성평가(II))

  • Yoon, Sung-Chul;Shin, Hyun Myung;Choi, Hae-Woon
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.14 no.4
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    • pp.49-54
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    • 2015
  • The fabrication of a focal length-correcting lens called the F-theta lens was performed by a 3D printer. The fabricated lenses were characterized by transmittance and reflectance measurements. The optical properties of the lens, such as scattering or transmittance efficiency, were analyzed with respect to the wavelength (red, green, and blue) and the surface roughness of the lens. There was almost no shape aberration on the focus location of 0 degrees, but elliptical focus shapes were found at 1 and 2 degrees of the laser incidence angle. The developed process is expected to be used for the quick fabrication of lenses with low costs and quick turn-out. By improving the surface roughness during postprocessing, the optical properties are expected to be comparable to commercial lens quality.

한국산 선발 계통, 일본산 양식 계통 그리고 이들 두 계통간 잡종 참돔 집단의 수온과 광주기 변화에 따른 산소 소비율

  • 오승용;노충환;홍경표;조재윤;김종만
    • Proceedings of the Korean Aquaculture Society Conference
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    • 2003.10a
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    • pp.114-115
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    • 2003
  • 양식 생물에게 있어 용존산소는 호흡에 필수적이며, 양식 시설 내에서 적절한 용존 산소량을 유지하는 것은 생산량을 좌우하는 가장 중요한 요인이며, 어종, 수온, 광주기, 나이와 크기, 어류의 행동과 먹이 공급 및 환경 조건에 따라 달라진다. 이 중 같은 종 내에서 선발육종된 개체와 일반 양식 종 그리고 이들 계통간 잡종에 대한 대사 효율 즉, 용존산소 소비율의 차이에 관한 연구는 거의 없다. 따라서 본 실험에서는 한국해양연구원에서 선발육종 해 온 참돔과 일본 양식산 참돔 및 이들의 교배 자손들을 대상으로 수온과 광주기 변화에 따른 용존산소 소비율을 조사하였다. 실험어는 일본 양식산인 TPN 교배구 자손과 한국해양연구원 선발육종산인 KORDI F4 교배구 자손, JPN♀×KORDI F4♂ 그리고 KORDI F4♀×JPN♂ 교배구 자손을 대상으로 실시하였다. 체중이 각각 52.0±0.6 g(JPN 교배구; 그룹 1), 52.3±0.7 g(JPN♀×KORDI F4♂; 그룹 2), 51.7±0.4 g(KORDI F4♀ × KORDI F4♂; 그룹 3) 그리고 52.1±0.7 g(KORDI F4♀ × JPN♂; 그룹 4)인 참돔 치어를 각각 5마리씩 3반복 수용하여 실험에 이용하였다. 실험기간 동안 사육수의 pH는 8.1±0.1, 염분도는 34.0±0.5‰로 유지하였으며, 실험 장치는 김(1999)이 고안한 순환 시스템을 이용하였다. 수온은 각각 15℃, 20℃ 및 25℃로 변화시켰으며 각 수온 조건에서 광주기를 24L:0D, 12L:12D 그리고 0L:24D로 변화시켜 매 조건마다 용존 산소 소비량을 측정하였다. JPN 교배구인 그룹 1의 경우, 수온 15℃일 때 산소 소비량은 170.35∼266.29 mg O₂/kg fish/hr의 범위를 보였으며 수온 20℃와 25℃일 때 각각 236.76∼307.37 mg O₂/kg fish/hr와 346.96∼459.30 mg O₂/kg fish/hr 범위를 보여 수온 상승에 따라 산소 소비량 역시 증가하는 것으로 나타났다. 그룹 2의 경우, 수온 15℃일 때 산소 소비량은 162.01∼279.51 mg O₂/kg fish/hr의 범위를 보였으며 수온 20℃와 25℃일 때 각각 303.48∼342.72 mg O₂/kg fish/hr와 447.18∼528.45 mg O₂/kg fish/hr 범위를 보여 그룹 1과 마찬가지로 수온 상승에 따라 산소 소비량 역시 증가하는 것으로 나타났다. 그룹 3의 경우, 수온 15℃일 때 산소 소비량은 170.11∼220.98 mg O₂/kg fish/hr의 범위를 보였으며 수온 20℃와 25℃일 때 각각 262.62∼282.27 mg O₂/kg fish/hr와 302.24∼415.73 mg O₂/kg fish/hr 범위를 보여 그룹 1, 2와 유사한 경향을 보였다. 그룹 4의 경우, 수온 15℃일 때 산소 소비량은 156.03∼214.49 mg O₂/kg fish/hr의 범위를 보였으며 수온 20℃와 25℃일 때 각각 238.40∼274.28 mg O₂/kg fish/hr와 379.93∼430.97 mg O₂/kg fish/hr 범위를 보여 수온 상승에 따라 산소 소비량 역시 증가하는 것으로 나타나, 그룹 1, 2와 유사한 경향을 보였다. 모든 실험구에서 수온 상승과 함께 산소 소비량이 증가하는 것으로 나타났으며 가장 높은 산소 소비량은 그룹 2에서 관찰되었다. 실험 결과 JPN 계통의 암컷을 사용하여 생산된 그룹 1과 2의 산소 소비량이 KORDI F4 계통의 암컷을 사용한 그룹 3, 4보다 대체적으로 높은 것으로 나타났다. 연속적인 명기 조건인 24L:0D에서 수온 15℃의 경우 그룹 1, 2, 3 그리고 4의 시간당 산소 소비량은 각각 266.29 mg O₂/kg fish/hr,279.51 mg O₂/kg fish/hr, 220.98 mg O₂/kg fish/hr 그리고 214.49 mg O₂/kg fish/hr으로 나타났고, 명기와 암기가 동일한 조건인 12L:12D에서는 각각 192.20 mg O₂/kg fish/hr, 258.03 mg O₂/kg fish/hr, 192.76 mg O₂/kg fish/hr 그리고 170.40 mg O₂/kg fish/hr로 나타났다. 또한 연속적인 암기 조건인 OL:24D 조건에서는 각각 170.35 mg O₂/kg fish/hr, 162.01 mg O₂/kg fish/hr, 170.11 mg O₂/kg fish/hr 그리고 156.03 mg O₂,/kg fish/hr로 나타났다. 그리고 수온 20℃와 25℃에서도 그룹간의 변화는 이와 비슷한 경향을 보였다. 연속 명기 조건인 24L:0D에서의 산소 소비량이 명기와 암기가 동일한 조건인 12L:12D와 연속 암기 조건인 0L:24D에서의 산소 소비량 보다 대체적으로 높은 것으로 나타났으며, 그룹 2의 연속 명기 조건에서 528.45 mg O₂/kg fish/hr으로 가장 높게 나타났다. 그룹 4에서는 대사량이 점점 더 높아지는 수온 상승과 함께 연속 명기 조건과 더불어 12L:12D 조건에서의 산소 소비량이 크게 증가하는 것으로 나타났다.

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Design and fabrication of the surface mountable VCO operating at 3V for PCS handset (3V에 동작하는 PCS 단말기용 표면실장형 전압제어 발전기의 설계 및 제작)

  • 염경환
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.3
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    • pp.784-794
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    • 1996
  • In this papre, the design and the fabrication of the surface mountable voltage controlled oscillator is described for local oscillator in PCS(WACS/TDMA) handset. The VCO employs two silicon bipolar transistors of $f_{gamma}$ of 4 GHz as active devices. These are asembled to form the VCO on the 4 layer PCB of the size $12{\times}10mm$which provides the strip line resonator at the third layer. The fabricated VCO shows tuning rage over 50 MHz, phase noise -100 dBc/Hz at the 100 kHz frequency offset, and 0 dBm output power with the consumption of 22 mA at 3V. It is belived that the size will be more reduced by employing 1005 chip components and that the current consumption will be improved by employing transistors of higher $f_{gamma}$.

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Two-Dimensional-Shear Wave Elastography with a Propagation Map: Prospective Evaluation of Liver Fibrosis Using Histopathology as the Reference Standard

  • Dong Ho Lee;Eun Sun Lee;Jae Young Lee;Jae Seok Bae;Haeryoung Kim;Kyung Bun Lee;Su Jong Yu;Eun Ju Cho;Jeong-Hoon Lee;Young Youn Cho;Joon Koo Han;Byung Ihn Choi
    • Korean Journal of Radiology
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    • v.21 no.12
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    • pp.1317-1325
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    • 2020
  • Objective: The aim of this study was to prospectively evaluate whether liver stiffness (LS) assessments, obtained by two-dimensional (2D)-shear wave elastography (SWE) with a propagation map, can evaluate liver fibrosis stage using histopathology as the reference standard. Materials and Methods: We prospectively enrolled 123 patients who had undergone percutaneous liver biopsy from two tertiary referral hospitals. All patients underwent 2D-SWE examination prior to biopsy, and LS values (kilopascal [kPa]) were obtained. On histopathologic examination, fibrosis stage (F0-F4) and necroinflammatory activity grade (A0-A4) were assessed. Multivariate linear regression analysis was performed to determine the significant factors affecting the LS value. The diagnostic performance of the LS value for staging fibrosis was assessed using receiver operating characteristic (ROC) analysis, and the optimal cut-off value was determined by the Youden index. Results: Reliable measurements of LS values were obtained in 114 patients (92.7%, 114/123). LS values obtained from 2D-SWE with the propagation map positively correlated with the progression of liver fibrosis reported from histopathology (p < 0.001). According to the multivariate linear regression analysis, fibrosis stage was the only factor significantly associated with LS (p < 0.001). The area under the ROC curve of LS from 2D-SWE with the propagation map was 0.773, 0.865, 0.946, and 0.950 for detecting F ≥ 1, F ≥ 2, F ≥ 3, and F = 4, respectively. The optimal cut-off LS values were 5.4, 7.8, 9.4, and 12.2 kPa for F ≥ 1, F ≥ 2, F ≥ 3, and F = 4, respectively. The corresponding sensitivity and specificity of the LS value for detecting cirrhosis were 90.9% and 88.4%, respectively. Conclusion: The LS value obtained from 2D-SWE with a propagation map provides excellent diagnostic performance in evaluating liver fibrosis stage, determined by histopathology.

A Heuristic Algorithm for $n/m/D/F/F_{max}$ (Flow Shop에서 준비시간이 작업순서에 종속적인 경우의 휴리스틱 알고리듬의 개발)

  • 최성운
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.8 no.11
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    • pp.79-83
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    • 1985
  • This paper is to develop four heuristic algorithms for $n/m/D/F/F_{max}$. A study present numerical example for (H1) algorithm. Among the sequence generated, the best sequence is J2, J1, J6, J7, J4, J3, J5 and makespan is 528. The optimal makespan of this numerical example can be found as 528 as also, and the worst value of heuristic solution is only 7.2 % away from it.

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A STUDY ON THE DENTAL HEALTH STATUS OF A COLLEGE GIRL STUDENTS (S여대생(女大生)의 구강보건 실태조사)

  • Kim, Jung-Sik
    • Restorative Dentistry and Endodontics
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    • v.6 no.1
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    • pp.123-132
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    • 1980
  • The author conducted a dental survey of a college girl students and compared with that of E college students 10 years ago which based on the same criteria. The items of this survey included the prevalence of dental caries, DMFT and the kinds of restored material. All college students 1,414 were examined in May 1978, with the recommended criteria and method of W.H.O.. Among them, the data of 1,393 were analyzed for this study. The following results were obtained: 1. The average number of present teeth were 28.97${\pm}$1.64. 2. The prevalence of dental caries was 84.92% and D.M.F. index was 15.51. Average D.M.F. teeth were 4.49${\pm}$3.69. 3. The average number of decayed (D) teeth were 2.09${\pm}$2.16. 4.30% of the present decayed teeth was secondary decay, and 2.44% of the decayed teeth was indicated for extraction. 4. The average number of missing(M) teeth were 0.32${\pm}$0.79. It included 8.56% of root fragements. 5. Average number of filled(F) teeth were 2.09${\pm}$3.17. F-ratio of this group was 46.45%. The analysis revealed 50.88% of amalgam alloy, 31.41% of gold inlays, and 1.20%, the least among the filling materials, silicate cement or composite resin. 6. While the prosthodontic treatment, such as crown and bridge has reduced than that of 10 years ago, the fillings and inlays as the conservative means has increased.

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Preparation and Thermal Conductivity of Poly(organosiloxane) Rubber Composite with Low Hardness (저경도 Poly(organosiloxane) Rubber Composite의 제조와 열전도 특성)

  • Kang Doo Whan;Yeo Hak Gue
    • Polymer(Korea)
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    • v.29 no.2
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    • pp.161-165
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    • 2005
  • $\alpha,\omega-Vinyl$ poly(dimethyl-methylphenyl) siloxane propelymer (VPMPS ) was prepared by the equilibrium polymerization of octamethylcyclotetrasiloxane $(D_4)$, 1,3,5-trimethyl-1,3,5-triphenylcyclotrisiloxane $(D_3^{MePh})$, and 1,1,3,3-tetramethyl-1,3-divinylsiloxane (MVS) as end-blocker. And also, $\alpha,\omega-hydrogen$ poly(dimethyl-methyltrifluoropropyl)siloxane prepolymer (HPDMFS) was prepared from $D_4$, 1,3,5-trimethyl-1,3.5-trifluoropropylcyclotrisiloxane $(D_3^{MeF3P})$, and 1,1,3,3-tetramethyldisiloxane. Poly(organosiloxane) rubber composite containing high thermal conductive filler was prepared by compounding VPMPS, HPDMFS, spherical alumina, and catalyst in high speed dissolver. The crosslinking density of poly (organosiloxane) composite was measured by oscillation rheometer. Poly(organosiloxane) composites of TC-POXR-2 and TC-POXR-4 prepared by controlling average diameters of thermal conductive filler, spherical alumina according to Horsfield's packing model were shown to 1.13 W/mK for TC-POXR-2 and 1.19 W/mK for TC-POXR-4.

Physical Properties of Sintered Body for Coal Fly Ash-clay Slip of Varying Dispersion State (석탄회-점토계 슬립의 분산상태에 따른 소결체의 물리적 특성)

  • 강승구;이기강;김유택;김정환
    • Journal of the Korean Ceramic Society
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    • v.40 no.7
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    • pp.677-682
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    • 2003
  • The physical properties of sintered body made from 3 kinds of slip, F (Flocculated), M (Moderate), and D (Dispersed) for coal fly ash 70-clay 30 (wt%) were studied in terms of slip states and pore size distribution of sintered bodies. The floc particle size distribution for slip F was wider than slip D and the slip F contained flocs larger than 11 $\mu\textrm{m}$. The pore size distribution of the green body of all slips ranged over 1∼4 $\mu\textrm{m}$. The pores smaller than 1 $\mu\textrm{m}$ almost disappeared during the sintering process, while the larger pore of 2.5∼3 $\mu\textrm{m}$ growed by 1 $\mu\textrm{m}$. The pore distribution for the green body of slip F became a narrow in width and high in height after sintering and the large pore limit in a slip F sintered body was 5.1 $\mu\textrm{m}$ which is smaller than that of other slip. The slip F rather flocculated was favorable over slip D well dispersed, in offering a higher compressive strength. From these results, the mechanical strength of sintered body is dependent on the pore distribution which could be controlled by dispersion state of the slips.

A Three-Dimensiomal Slope Stability Analysis in Probabilistic Solution (3차원(次元) 사면(斜面) 안정해석(安定解析)에 관한 확률론적(確率論的) 연구(研究))

  • Kim, Young Su
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.3
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    • pp.75-83
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    • 1984
  • The probability of failure is used to analyze the reliability of three dimensional slope failure, instead of conventional factor of safety. The strength parameters are assumed to be normal variated and beta variated. These are interval estimated under the specified confidence level and maximum likelihood estimation. The pseudonormal and beta random variables are generated using the uniform probability transformation method according to central limit theorem and rejection method. By means of a Monte-Carlo Simulation, the probability of failure is defined as; $P_f=M/N$ N: Total number of trials M: Total number of failures Some of the conclusions derived. from the case study include; 1. Three dimensional factors of safety are generally much higher than 2-D factors of safety. However situations appear to exist where the 3-D factor of safety can be lower than the 2-D factor of safety. 2. The $F_3/F_2$ ratio appears to be quite sensitive to c and ${\phi}$ and to the shape of the 3-D shear surface and the slope but not to be to the unit weight of soil. 3. From the two models (normal, beta) considered for the distribution of the factor of safety, the beta distribution generally provides lager than normal distribution. 4. Results obtained using the beta and normal models are presented in a nomgraph relating slope height and slop angle to probability of failure.

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