• 대한수학회보
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• 제54권5호
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• pp.1803-1825
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• 2017

Let X be a smooth scheme with an action of an algebraic group G. We establish an equivalence of two categories related to the corresponding moment map ${\mu}:T^{\ast}X{\rightarrow}g^{\ast}$ - the derived category of G-equivariant coherent sheaves on the derived fiber ${\mu}^{-1}(0)$ and the derived category of G-equivariant matrix factorizations on $T^{\ast}X{\times}g$ with potential given by ${\mu}$.

• East Asian mathematical journal
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• 제38권1호
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• pp.95-105
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• 2022

In this paper, we consider a quadratic matrix equation Q(X) = AX² + BX + C = 0 where A, B, C ∈ ℝ^n×n. A new approach is proposed to find solutions of Q(X), using the novel structure of the information processing system. We also present some numerical experimetns with Artificial Neural Network.

• Korean Chemical Engineering Research
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• 제58권1호
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• pp.64-68
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• 2020

본 연구에서는, 열 전도성 충진제로 충진 된 에폭시복합체를 사용하여 금속 구리판에 이를 코팅한 기판이 제조되었다. 에폭시 복합체의 열전도도를 향상시키기 위해서는 에폭시 매트릭스에 있는 전도성 필러의 최적 분산을 통한 전도성 네트워크를 형성하게 하고, 인접한 필러 입자들 사이에서 열 저항 접합의 수를 감소시키는 것이 중요한 요소이다. 이는 에폭시는 열전도도가 0.2~0.3 W 밖에 안되기 때문에 높은 열전도도를 유지하기 위해선 열전도성 필러가 서로 연결되어 입자간에 갭이 적어야 열저항을 감소시킬수 있기 때문이다. 본 연구의 목적은 에폭시 수지에 Al₂O₃와 Boron Nitride (BN) 충진제를 균일하게 분산시켜 고방열 에폭시 복합체를 개발하는 데 있다. 그 결과, Al₂O₃와 Boron nitride Filler가 에폭시 수지 매트릭스에 서로 연결되어 에폭시 수지와 알루미나/Boron nitride 하이브리드 필러 간에 계면 공극 없이 분산되어 열전도도 특성 향상을 확인 할 수 있었고, 표면 처리한 s-BN 필러가 에폭시 수지의 매트릭스의 계면접착력을 향상시켰으며, 계면 공극을 최소화함에 따라 높은 열전도도 특성을 확보 할 수 있었다.

• 대한소아치과학회지
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• 제34권1호
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• pp.73-80
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• 2007

소아 환자의 인접면 우식을 치료할 때 컴포머는 불소를 방출하는 재료로 유용하게 사용될 수 있다. 하지만 구강내 환경은 항상 습윤한 상태로 타액은 컴포머와 치질 사이의 접착을 방해할 수 있다. 수복시에 타액이 게재하게 되면 미세누출이 발생할 가능성이 높아지게 되며 그로 인해서 수복의 실패가 일어날 수 있다. 이에 본 연구에서는 컴포머를 수복할 시에 타액의 영향과 수복 방법에 따른 미세누출 정도를 평가하기 위해서 시행하였다. 컴포머로서 Dyract $AP^{(R)}$(Dentsply, Germany)를 사용하였으며 Dentin bonding agent로는 Prime and $Bond^{(R)}$ NT (Dentsply, Germany)를 사용하였고, 광중합을 위해서 Elipar Trilight (3M ESPE, USA)를 사용하였다. 구강내 환경을 재현하기 위해서 saliva pool을 제작하였다. 소구치 2개를 인접하여 시편을 제작한 후에 2급 와동을 형성하여 수복 환경을 다르게 하여 컴포머를 충전한 후에 500회 thermocycling하였다. 그 후 0.5% methylene blue 용액에 24 시간 동안 담근 후에 실체 현미경을 통해서 교합면과 치은면에서의 미세누출 정도를 측정하였다. Kruskal-Wallis Test와 Mann-Whitney Test를 이용하여 각 군간 유의성을 검정하여 다음과 같은 결과를 얻었다. 1. 교합면에서의 각 군간 통계학적 차이는 없었다(p>0.05). 2. 치은면에서 $Oraseal^{(R)}$을 이용하여 수복한 3군이 타액 오염을 시키지 않은 4군과 통계학적 차이가 없었다(p>0.05). 3. 치은면에서 1군과 2군 사이에는 통계학적 차이가 없었다(p>0.05). 4. 치은면에서 $Oraseal^{(R)}$을 이용하여 수복한 3군이 1, 2군보다 통계학적으로 더 낮은 미세누출 정도를 보였다(p<0.05).

• Journal of Magnetics
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• 제16권3호
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• pp.225-228
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• 2011

Magnetic properties and Rockwell hardness of 1Cr-0.5Mo steel have been investigated as a function of isothermal aging time. Our results showed that coercivity, hysteresis loss and Rockwell hardness in the aged samples decreased as aging time increased. This phenomenon was analyzed using optical microscopy and scanning electron microscopy. A significant diffusion of Cr and Mo atoms formed $M_2C$ and $M_7C$ carbides, lowering the matrix strength. $M_2C$ and $M_7C$ carbides partially segregated inside grains, diffused into grain boundaries, and finally resulted in a soft ferrite matrix and a hard grain boundary. The magnetic and mechanical softening of the matrix is likely to govern the properties of the sample more than the hardening of the grain boundary by carbide precipitations.

• Journal of Theoretical and Applied Mechanics
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• 제1권1호
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• pp.69-88
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• 1995

The paper attempts to estimate the incubation time of a cavity in the interface between a power law creep particle and an elastic matrix subjected to a uniaxial stress. Since the power law creep particle is time dependent, the stresses in the interface relax. Through previous stress analysis related to the present physical model, the relaxation time is defined by ${\alpha}$2 which satisfies the equation $\Gamma$0 ｜1+${\alpha}$2k｜m=1-${\alpha}$2 [19]. $\Gamma$0=2(1/√3)1+m($\sigma$$\infty$/2${\mu}$)m($\sigma$0/$\sigma$$\infty$tm) where $\sigma$$\infty$ is an applied stress, ${\mu}$ is a shear modulus of a matrix, $\sigma$$\infty$ is a material constant of a power law particle, $\sigma$=$\sigma$0 $\varepsilon$ and t elapsed time. the volume free energy associated with Helmholtz free energy includes strain energies associated with Helmholtz free energy includes strain energies caused by applied stress anddislocations piled up in interface (DPI). The energy due to DPI is found by modifying the results of Dundurs and Mura[20]. The volume free energies caused by both applied stress and DPI are a function of the cavity size(${\gamma}$) and elapsed time(t) and arise from stress relaxation in the interface. Critical radius ${\gamma}$ and incubation time t to maximize Helmholtz free energy is found in present analysis. Also, kinetics of cavity fourmation are investigated using the results obtained by Riede[16]. The incubation time is defied in the analysis as the time required to satisfy both the thermodynamic and kinetic conditions. Through the analysis it is found that [1] strain energy caused by the applied stress does not contribute significantly to the thermodynamic and kinetic conditions of a cavity formation, 2) in order to satisfy both thermodynamic and kinetic conditions, critical radius ${\gamma}$ decreases or holds constant with increase of time until the kinetic condition(eq.40) is satisfied. Therefore the cavity may not grow right after it is formed, as postulated by Harris[11], and Ishida and Mclean[12], 3) the effects of strain rate exponent (m), material constant $\sigma$0, volume fraction of the particle to matrix(f) and particle size on the incubation time are estimated using material constants of the copper as matrix.

• Journal of Periodontal and Implant Science
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• 제35권4호
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• pp.961-974
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• 2005

Various biological approaches to the promotion of periodontal regeneration have been used. These can be divided into the use of growth and differentiation factors, application of extracellular matrix proteins and attachment factors and use of mediators of bone metabolism. The purpose of this study was to evaluate the effect of enamel matrix protein and platelet-rich plasma on the treatment of intrabony defect, with bovine-derived bone powder in humans by digital subtraction radiography. 12 teeth(experimental I group) were treated with enamel matrix protein combined with bovine-derived bone powder and 12 teeth(experimental II group) were treated with platelet-rich plasma combined with bovine-derived bone powder. The change of bone density was assessed by digital subtraction radiography in this study. The change of mineral content was assessed in the method that two radiography were put into computer program to be overlapped and the previous image was subtracted by the later one. Both groups were statistically analyzed by Wilcoxon signed Ranks Test and Mann-whitney Test using SPSS program for windows(5% significance level). The results were as follows: 1. The radiolucency in 3 months after surgery was significantly increased than 1 month after surgery in both groups(experimental I and II groups)(p<0.05). 2. The radiopacity in 6 months after surgery was significantly increased than 3 months after surgery in both groups(experimental I and II groups) (p<0.05). 3. In experimental I group, there was no significant difference between 1 month and 6 months after surgery. 4. In experimental II group. the radiopacity in 6 months after surgery was significantly increased than 1 month after surgery(p<0.05). 5. There was no significant difference between experimental I and II group at 1 month and 3 months after surgery, but the radiopacity in experimental II group was significantly increased at 6 months after surgery(p<0.05). In conclusion, platelet-rich plasma can enhance bone density than enamel matrix protein until 6 months after surgery.

• 농업과학연구
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• 제47권4호
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• pp.933-940
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• 2020

Land-use change matrix data is important for calculating the LULUCF (land use, land use change and forestry) sector of the national greenhouse gas inventory. In this study, land cover changes in 2004 and 2019 were compared using the Wall-to-Wall technique with a land cover map of Sejong City from the Ministry of Environment. Sejong City was classified into six land use classes according to the Intergovernmental Panel on Climate Change (IPCC) guidelines: Forest land, crop land, grassland, wetland, settlement and other land. The coordinate system of the land cover maps of 2004 and 2019 were harmonized and the land use was reclassified. The results indicate that during the 15 years from 2004 to 2019 forestlands and croplands decreased from 50.4% (234.2 ㎢) and 34.6% (161.0 ㎢) to 43.4% (201.7 ㎢) and 20.7% (96.2 ㎢), respectively, while Settlement and Other land area increased significantly from 8.9% (41.1 ㎢) and 1.4% (6.9 ㎢) to 35.6% (119.0 ㎢) and 6.5% (30.3 ㎢). 79.㎢ of cropland area (96.2 ㎢) in 2019 was maintained as cropland, and 8.8 ㎢, 1.7 ㎢, 0.5 ㎢, 5.4 ㎢, and 0.4 ㎢ were converted from forestland, grassland, wetland, and settlement, respectively. This research, however, is subject to several limitations. The uncertainty of the land use change matrix when using the wall-to-wall technique depends on the accuracy of the utilized land cover map. Also, the land cover maps have different resolutions and different classification criteria for each production period. Despite these limitations, creating a land use change matrix using the Wall-to-Wall technique with a Land cover map has great advantages of saving time and money.

• 대기
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• 제27권2호
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• pp.189-197
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• 2017

Progressing from weather forecasts and warnings to multi-hazard impact-based forecast and warning services represents a paradigm shift in service delivery. Urban flooding is a typical meteorological disaster. This study proposes support plan for urban flooding impact-based forecast by providing inundation risk matrix. To achieve this goal, we first configured storm sewer management model (SWMM) to analyze 1D pipe networks and then grid based inundation analysis model (GIAM) to analyze 2D inundation depth over the Gangnam drainage area with $7.4km^2$. The accuracy of the simulated inundation results for heavy rainfall in 2010 and 2011 are 0.61 and 0.57 in POD index, respectively. 20 inundation scenarios responding on rainfall scenarios with 10~200 mm interval are produced for 60 and 120 minutes of rainfall duration. When the inundation damage thresholds are defined as pre-occurrence stage, occurrence stage to $0.01km^2$, 0.01 to $0.1km^2$, and $0.1km^2$ or more in area with a depth of 0.5 m or more, rainfall thresholds responding on each inundation damage threshold results in: 0 to 20 mm, 20 to 50 mm, 50 to 80 mm, and 80 mm or more in the rainfall duration 60 minutes and 0 to 30 mm, 30 to 70 mm, 70 to 110 mm, and 110 mm or more in the rainfall duration 120 minutes. Rainfall thresholds as a trigger of urban inundation damage can be used to form an inundation risk matrix. It is expected to be used for urban flood impact forecasting.

• 대한화장품학회지
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• 제30권2호
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• pp.235-240
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• 2004

해양 천연물 유래의 신규 광노화 방지소재의 개발을 위해 항산화 활성과 matrix metalloproteinase-1 (MMP-1) 발현 억제활성을 갖는 잘피(Zostera marina L.)를 선별하였다. 에탄올 추출물로부터 3개의 화합물(compound 1과 2, 3)을 분리하였으며 각각 apigenin-7-O-$\beta$-D-glucoside (1)과 chrysoeriol (2), luteolin (3)으로 동정하였다. 이 화합물들은 1,1-diphenyl-2-picryl-hydrazyl radical에 대하여 각각 0,18mM과 0.68mM, 0.01mM의 $SC_{50}$/ 값을 나타내었으며, xanthine과 xanthine oxidase의 반응으로 생성되는 superoxide radical에 대하여 각각 0.04mM과 0.03mM, 0.01mM의 $SC_{50}$/ 값을 나타내었다. 특히 compound 3은 MMP-1에 대해 35.0$\mu$M의 농도에서 44% 이상의 발현 억제황성을 나타내었으며 MMP-1 발현을 유도하는 신호전달물질로 알려 있는 interleukin 6의 생성도 억제하였다. 또한 잘피 추출물을 함유한 제품이 주름 개선효과를 측정하였다. 추출물을 3.0% 함유한 크림을 8주간 적용하여 미세주름과 피부거칠음의 현저한 개선효과를 확인하였다. 결론적으로, 잘피 추출물에서 분리된 화합물들은 우수한 항산화 활성과 MMP-1 발현 억제활성을 가지며, 이 추출물을 함유한 제품은 피부주름의 감소효과를 나타내었다. 따라서, 잘피 추출물은 화장품의 새로운 항노화 소재로서 적용될 수 있을 것이다.