• 정보보호학회논문지
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• 제5권1호
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• pp.17-24
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• 1995

타원 곡선을 사용한 암호 시스템은 안전도가 높고 smart card에 응용할 수 있지만 타원 곡선에서의 연산이 유한체에서의 연산보다 느리기 때문에 실용화를 위해서는 타원 곡선위에서 고속 연산 기법, 고속 반복 연산 기법이 개발되어야 한다. 1991년 Koblitz는 Frobenious map의 trace Tr(${\varphi}$)가 1인 anomalous 타원 곡선을 제안하였고, 이 곡선의 사용으로 타원 곡선위의 한 점 P를 반복 더하는 mP를 효과적으로 계산할 수 있었다. 본 논문에서는 사전 계산을 할 경우 Koblitz의 $F_2$ 위에서의 anomalous 타원 곡선과 같이 보통의 반복 연산 방법(repeated-doubling method)보다 3배 빨리 mP를 계산할 수 있는 유한체 $F_4$위에서 정의된 타원 곡선을 제안한다. 사전 계산을 하지 않는 경우 제안된 타원곡선 위에서는 mP 계산시 가장 많은 더하기 횟수는 ${\frac{3}{2}}log_2m$+1번이다.

• Computers and Concrete
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• 제19권5호
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• pp.545-553
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• 2017

In the authors' previous study, an axial force-flexural moment (P-M) interaction curve model was proposed to evaluate fire-resisting performances of reinforced concrete (RC) column members. The proposed method appeared to properly consider the axial and flexural strength degradations including the secondary moment effects in RC columns due to fire damage. However, the detailed P-M interaction curve model proposed in the authors' previous study requires somewhat complex computational procedures and iterative calculations, which makes it difficult to be used for practical design in its current form. Thus, the aim of this study was to develop a simplified P-M interaction curve model of RC columns exposed to fire considering the effects of fire damage on the material performances and magnitudes of secondary moments. The simplified P-M interaction model proposed in this study was verified using 66 column fire test results collected from literature, and the verification results showed that the proposed simplified method can provide an adequate analysis accuracy of the failure loads and fire-resisting times of the RC column specimens.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2010년도 춘계 학술대회 제22권1호
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• pp.143-144
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• 2010

강도 설계법에 기반을 둔 콘크리트구조설계기준은 전 응력의 계산이 불가능하기 때문에 한계 상태 설계법에 근간을 둔 EC2와 휨 압축부재의 P-M상관도를 비교분석하였다. 해석결과, 설계기준에 따라 P-M상관도는 거의 유사하였지만 피복두께가 클 경우 EC2에 의한 값이 보다 안전 측에 해당하였다.

• 대한임상검사과학회지
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• 제36권2호
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• pp.199-204
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• 2004

Height has become one of the most important factors to determine the pulmonary function test index, and there is a high correlation between them, so that they have been utilized for evaluating pulmonary function test predictive value or nomogram. Therefore, we have tried to find out that difference and if there is any correlation and linear relationship between height and forced expiratory flow curve. There were a total of 163 subjects, male 93 and female 70. This study was done at the Department of Pulmonary Function Test of Jeon-Ju Presbyterian Hospital and we measured the index at the forced expiratory flow curve of FVC, $FEV_{1.0}$, $FEV_{1.0}$/FVC, $FEF_{25-75%}$, and $FEF_{200-1200m{\ell}}$. When we subjected the group of height more than 160cm, there were gradual increments at FVC(p<0.001), $FEV_{1.0}$(p<0.001), $FEF_{25-75%}$(p<0.05) and $FEF_{200-1200m{\ell}}$(p<0.001), but no changes at $FEV_{1.0}$/FVC in terms of forced expiratory flow curve index. We have analyzed the relationship between height and forced expiratory flow curve, there was a close relationship at FVC(r=0.670, p<0.01), $FEV_{1.0}$(r=0.491, p<0.01), $FEF_{25-75%}$ (r=0.175, p<0.05) and $FEF_{200-1200m{\ell}}$(r=0.370, p<0.01) but there was reciprocal relationship at $FEV_{1.0}$/FVC(r=-0.215, p<0.01). We have tried simple regression analysis to see if height affects forced expiratory flow curve index as a sector, and the result was $FVC(\ell)=0.0642{\times}height(cm)-7.2978$(p<0.01, $R^2=0.449$), $FEV_{1.0}(\ell)=0.0407{\times}height(cm)-4.2774$ (p<0.01, $R^2=0.2411$), $FEV_{1.0}/FVC(%)=-0.2892{\times}height(cm)+121.44$(p<0.01, $R^2=0.0464$), $FEF_{25-75%}(\ell/sec)=0.0176{\times}height(cm)-0.7876$(p<0.05, $R^2=0.0237$), $FEF_{200-1200m{\ell}}(\ell/sec)=0.0967{\times}height(cm)-11.037$(p<0.01, $R^2=0.1214$) this was approved statistically. According to this study, if height is taller than average, forced expiratory flow curve index were increased, there was a close relationship between height and forced expiratory flow curve, and there was a linear relationship as sector between height and forced expiratory flow curve index. Therefore, researches that study other factors such as sex, age, weight, body surface area, and obesity indexes other than height should be done to see if there are any further relationships.

• 대한수학회논문집
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• 제9권4호
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• pp.905-915
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• 1994

Let $M_g$ be the moduli space of isomorphism classes of genus g smooth curves. It is a quasi-projective variety of dimension 3g - 3, when $g > 2$. It is known that a complete subvariety of $M_g$ has dimension $< g-1 [D]$. In general it is not known whether this bound is rigid. For example, it is not known whether $M_4$ has a complete surface in it. But one knows that there is a complete curve through any given finite points [H]. Recently, an explicit example of a complete curve in moduli space is given in [G-H]. In [G-H] they constructed a complete curve of $M_3$ as an intersection of five hypersurfaces of the Satake compactification of $M_3$. One way to get a complete curve of $M_3$ is to find a complete one dimensional family $p : X \to B$ of plane quartics which gives a nontrivial morphism from the base space B to the moduli space $M_3$. This is because every non-hyperelliptic smooth curve of genus three can be realized as a nonsingular plane quartic and vice versa. This paper has come out from the effort to find such a complete family of plane quartics. Since nonsingular quartics form an affine space some fibers of p must be singular ones. In this paper, due to the semistable reduction theorem [M], we search singular plane quartics which can occur as singular fibers of the family above. We first list all distinct plane quartics in terms of singularities.

• 대한치과보철학회지
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• 제36권2호
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• pp.323-335
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• 1998

Clinically, the curve of Spee is widely applied as a determined level of the occlusal curvature when the oral rehabilitation and the reconstruction of the prosthesis is needed at the malalignment dentition due to the missing, extrusion, and the inclination of the teeth. The purpose of this study was to analyze the curve of Spee of the occlusal curvature which influences to the occlusal form and the location three dimensionally, and then was to measure the radius and the degree of curvature of the curve of Spee and also was to investigate the influence to the cuspal inclination according to the change of the inclination of the curve of Spee which was analyzed by AutoCAD R.13 program at the gnathological cast and the cephalometric radiograph. The following results were obtained : 1. The radius of the curve of Spee was the mean of $11.74{\pm}3.64cm$ in the model, $12.75{\pm}4.63cm$ in the radiograph and there was no significant difference statistically between the model and the radiograph(P>0.001). 2. The radius and the degree of curvature of the curve of Spee showed negative correlation(r=-0.80), while the radius and the degree of curvature of the curve of Spee in relation to the length of the curve of Spee did not show correlation. 3. The case of the curve of Spee inclined to the posterior, that is. $Post.M{\theta}$ group showed the mean of $4.73{\pm}3.64$, positive correlation to the P2m, M1mm, M1dm, M2dm, and especially the greatest correlation coefficient to the mesial inclination angle of the mesio-buccal cusp tip of the first molar(r=0.70). 4. The case of the curve of Spee inclined to the anterior, that is, $Ant.M{\theta}$ group showed the mean of $3.28{\pm}3.59$, positive correlation to the P2m, M1mm, and also the greatest correlation coefficient to the mesial inclination angle of the mesio-buccal cusp tip of the first molar(r=0.78

• 한국정보과학회논문지:시스템및이론
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• 제34권3호
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• pp.93-100
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• 2007

Koblitz와 Miller가 암호시스템에 타원곡선을 사용할 것을 제안한 이래, 타원곡선 암호에 관한 다양한 연구가 진행되어 왔다. 타원곡선 암호는 타원곡선 상의 점들이 덧셈 연산에 대한 군을 형성한다는 관찰에 기반하고 있는데, 안전한 암호를 실현하기 위해서는 군의 위수에 큰 소수를 인자로 포함하는 적절한 타원곡선을 찾고 이 큰 소수를 위수로 갖는 기저점을 찾는 작업이 매우 중요하다. 현재까지 타원 곡선을 찾거나 해당 군의 위수를 계산하는 방법에 관해서는 많은 연구가 있어 왔으나, 곡선이 주어질 때 기저점을 찾는 문제에 대한 연구 결과는 많지 않다. 이에 본 논문에서는 $GF(p^m)$ 상에서 정의된 타원곡선 상에서 임의의 기저점을 찾는 효율적인 방안을 제시한다. 먼저 우리는 기저점을 찾는 데 있어 가장 중요한 연산이 멱승 연산임을 밝히고， 다음에 $GF(p^m)$ 상에서의 멱승을 빠르게 하기 위한 효율적인 알고리즘들을 제시한다. 마지막으로 이 알고리즘들을 구현하여 다양한 실제 타원 곡선 상에서 실험한 결과들을 제시하는데， 이에 따르면 본 논문에서 제안하는 알고리즘은 이진 멱승에 기반한 기저점 탐색 알고리즘에 비해 탐색 속도를 1.62-6.55 배 향상시킴을 확인할 수 있다.

• 대한토목학회논문집
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• 제34권2호
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• pp.355-365
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• 2014

원형 콘크리트 충전 강관(CFT)은 급속시공이 가능하고 뛰어난 좌굴 성능 및 콘크리트의 구속효과와 같은 여러 장점을 가지고 있어, 건축물의 기둥이나 교량의 교각으로 이용되고 있다. 하지만 CFT는 이러한 장점에도 불구하고 널리 이용되고 있지 않고 있다. 이러한 이유는 CFT의 설계기준들이 서로 상이하여 보수적인 설계가 이루어지고 있는 것에 일부 기인한다. 이 연구에서는 CFT설계에 널리 이용되는 AISC 및 EC4 설계기준의 타당성을 기존 연구자들이 수행한 실험 결과 및 이 연구에서 수행된 유한요소해석 결과를 이용하여 검증하였다. 특히 축력과 휨모멘트가 동시에 작용하는 CFT에 대하여 AISC 및 EC4에서 제안한 P-M 상관곡선의 타당성 검증에 초점을 두었다. 연구 결과, 기존의 P-M 상관곡선은 CFT의 강도를 상당히 보수적으로 예측하는 것을 알 수 있었다. 이 연구에서는 개선된 P-M 상관곡선을 제안하고 기존 실험 결과 및 이 연구에서 수행한 유한요소해석 결과를 이용하여 검증하였다.

• Computers and Concrete
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• 제19권5호
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• pp.537-544
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• 2017

The strength and deformational capacity of slender reinforced concrete (RC) columns greatly rely on their slenderness ratios, while an additional secondary moment (i.e., the $P-{\delta}$ effect) can be induced especially when the RC column members are exposed to fire. To evaluate the fire-resisting performances of RC columns, this study proposed an axial force-flexural moment (i.e., P-M) interaction curve model, which can reflect the fire-induced slenderness effects and the nonlinearity of building materials considering the level of stress and the magnitude of temperature. The P-M interaction model proposed in this study was verified in detail by comparing with the fire test results of RC column specimens reported in literature. The verification results showed that the proposed model can properly evaluate the fire-resisting performances of RC column members.

• Journal of Gastric Cancer
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• 제18권2호
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• pp.182-188
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• 2018

Purpose: Despite the fact that there are several reports of single-port laparoscopic distal gastrectomy (SPDG), no analysis of its learning curve has been described in the literature. The aim of this study was to investigate the favorable factors for SPDG and to analyze the learning curve of SPDG. Materials and Methods: A total of 125 cases of SPDG performed from November 2011 to December 2015 were enrolled. All operations were performed by 2 surgeons (surgeon A and surgeon B). The moving average method was used for defining the learning curve. All cases were divided into 10 cases in a sequence, and the mean operative time and estimated blood loss data were extracted from each group. Results: Surgeon A performed 68 cases (female-to-male sex ratio, 91.1%:8.82%), and surgeon B performed 57 cases (female-to-male sex ratio, 61.4%:38.5%). The operative time of surgeon B significantly decreased after 30 cases ($157.8{\pm}38.4$ minutes vs. $118.1{\pm}34.5$ minutes, P=0.003); that of surgeon A did not significantly decrease before and after around 30 cases ($160.8{\pm}51.6$ minutes vs. $173.3{\pm}35.2$ minutes, P=0.6). The subgroup analysis showed that the operative time significantly decreased in the patients with body mass index (BMI) of <$25kg/m^2$ (<$25kg/m^2$:${\geq}25kg/m^2$, $159.3{\pm}41.7$ minutes: $194.25{\pm}81.1$ minutes; P=0.001). Conclusions: Although there was no significant decrease in the operative time for surgeon A, surgeon B reached the learning curve upon conducting 30 cases of SPDG. BMI of <$25kg/m^2$ was found to be a favorable factor for SPDG.