• 대한수학회보
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• 제37권4호
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• pp.649-657
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• 2000

The 2-step competition graph of D has the same vertex set as D and an edge between vertices x and y if and only if there exist (x, z)-walk of length 2 and (y, z)-walk of length 2 for some vertex z in D. The 2-step competition number of a graph G is the smallest number k such that G together with k isolated vertices is the 2-step competition graph of an acyclic digraph. Cho, et al. showed that the 2-step competition number of a path of length at least two is two. In this paper, we characterize all the minimal acyclic digraphs whose 2-step competition graphs are paths of length n with two isolated vertices and construct all such digraphs.

• 한국지능정보시스템학회:학술대회논문집
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• 한국지능정보시스템학회 2001년도 The Pacific Aisan Confrence On Intelligent Systems 2001
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• pp.441-447
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• 2001

The problem of query rewriting using views has interested in the context of data integration where source data is described by the views on global relations. When the query and views are of the form of conjunctive queries, the rewriting is a union of conjunctive queries each of which is contained in the original query and consists of only views. Most previous methods for query rewriting using views are 2-step algorithms. In the first step, they identify the views that are useful in rewriting and in the second step they construct all correct rewritings by combining the views that gained in the first step. The larger the number of selected views in the first step, the larger the number of candidate rewritings in the second step. We want to minimize the number of selected views in the first step by defining stringent conditions for a view to be participated in rewritings. In this paper, first we offer a necessary condition for the existence of a rewriting that includes a view. For the common case that predicate repetitions are not allowed in the bodies of views, we show that our algorithm for testing the condition is done in a polynomial-time. Second, we offer an algorithm to construct contained rewritings using the view instances that are computed in the first step. The exponential containment-mapping test in the second step is not needed in our algorithm.

• 경영과학
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• 제31권4호
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• pp.135-150
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• 2014

This paper analyzes the operational efficiency of 91 individual retail stores in Seoul by a two-step procedure. In the first step, a data envelopment analysis (DEA) model is used to identify the efficiency scores. Three inputs (store size, number of items, and number of employees) and two outputs (sales and number of customers) are used for the efficiency measurement. In the second step, a Tobit regression model is used to identify the drivers of efficiency. DEA efficiency scores are used to test hypotheses on the impact of five independent variables, namely store age, number of items per store size, number of items per employee, trade area index, and number of competitors. Results of the Tobit analysis show that number of items per store size, number of items per employee, and number of competitors play a significant role in influencing the operational efficiency of retail stores. Managerial implications of the study are discussed.

• 전자공학회논문지A
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• 제29A권3호
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• pp.41-46
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• 1992

In this paper we report how to design integrated-mirror etalons for surface-emitting lasers and photonic switching without time-consuming numerical calculation. It consists of the following two-step process (step 1) find the minimum reflectance to achieve the maximum allowable linewidth. (step 2) find the number of the quarter-wave layers in each mirror to realize the reflectance given by step 1. The condition for maximum transmission in an integrated- mirror etalon is also derived. Under this condition we can achieve the required linewidth with the minimum number of quarterwave layers.

• 한국수정란이식학회지
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• 제27권4호
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• pp.259-264
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• 2012

Solution of glycerol, ethylene glycol, sucrose, dextrose (GESD) and cryotop methods were carried out to investigate the survivability on vitrification of embryos. Embryos cultured in vitro were vitrified by GESD of 10 or 8 step and cryotop methods of 6 step, from cryopreservation step to frozen-thawed and culture step. Survival rate and ICM, TE cells of embryos were investigated after frozen-thawed 24 h. As a results, cryotop method was significantly (p<0.05) higher ($85.76{\pm}5.3$ vs. $66.71{\pm}2.4$, $44.80{\pm}2.1%$) than GESD 10 or 8 step methods on survivability. Also, In ICM cell number, cryotop method was significantly (p<0.05) higher to $45.67{\pm}4.7$ cells than GESD 8 step method. TE cell number was significantly (p<0.05) highest to $111.00{\pm}11.0$ cells in cryotop method. On the other hand, survival rate, TE and total cell number were all the significantly (p<0.05) high, except ICM in GESD 10 step method between GESD 10 step method and GESD 8 step method. In conclusion cryotop method was to be most effective, but it is considered necessary to study vitrification method for step-by-step freezing and thawing process.

• 한국초등수학교육학회지
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• 제20권2호
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• pp.193-213
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• 2016

초등수학에서 보수 개념은 위치적 십진 기수법 체계를 이해하고 덧셈과 뺄셈 연산을 완성하기 위해 필요한 기본적인 개념이다. 본 연구는 초등학교 1학년 학생을 대상으로 보수 개념을 신장시키기 위한 놀이 중심의 단계별 프로그램을 개발하여 적용한 것으로, 개발된 프로그램의 수업을 단계별로 실시하면서 학생들의 연산 능력과 수학적 태도의 변화를 관찰한 것이다. 먼저 보수 개념을 학습하기 위한 조작 교구 및 놀이 학습 프로그램은 5단계(총 11차시)로 개발하였다. 보수 개념 신장을 위한 프로그램의 개발과 조직은 디에네스(Dienes)의 놀이 학습 단계 이론에 근거하여 각 차시와 수업 내용을 구성하여 개발하였다. 본 연구는 프로그램의 각 단계별 수업의 과정과 학생들의 반응, 연구자의 관점 등을 종합하여 기술하고 이로부터 학생들의 연산 능력에서의 변화와 수학에 대한 태도 변화를 함께 살펴본 것이다. 수업을 진행하면서 학생들의 연산 능력과 수학적 태도 두 측면에서 모두 긍정적인 변화를 이끌어낼 수 있었는데, 따라서 1학년 수학에서부터 보수 개념을 효과적이고 체계적으로 신장시킬 수 있는 프로그램을 조직화하고 지도할 필요성을 제기한다.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2021년도 학술발표회
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• pp.60-60
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• 2021

Investigating Backward-Facing Step(BFS) flow is important in that it is a representative case for separation flows in various engineering flow systems. There have been a wide range of experimental, theoretical, and numerical studies to investigate the flow characteristics over BFS, such as flow separation, reattachment length and recirculation zone. However, most of such previous studies were concentrated only on the perpendicular step angle. In this study, several numerical investigations on the flow pattern over BFS with various step angles (10° ~ 90°) and expansion ratios (1.48, 2 and 3.27) under different Reynolds numbers (5000 ~ 64000) were carried out, mainly focused on the reattachment length. The numerical simulations were performed using an open source 3D CFD software, OpenFOAM, in which the velocity profiles and turbulence intensities are calculated by RANS (Reynolds Averaged Navier-Stokes equation) and 3D LES (Large Eddy Simulation) turbulence models. Overall, it shows a good agreement between simulations and the experimental data by Ruck and Makiola (1993). In comparison with the results obtained from RANS and 3D LES, it was shown that 3D LES model can capture much better and more details on the velocity profiles, turbulence intensities, and reattachment length behind the step for relatively low Reynolds number(Re < 11000) cases. However, the simulation results by both of RANS and 3D LES showed very good agreement with the experimental data for the high Reynolds number cases(Re > 11000). For Re > 11000, the reattachment length is no longer dependent on the Reynolds number, and it tends to be nearly constant for the step angles larger than 30°.) Based on the calibrated and validated numerical simulations, several additional numerical simulations were also conducted with higher Reynolds number and another expansion ratio which were not considered in the experiments by Ruck and Makiola (1993).

• Structural Engineering and Mechanics
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• 제53권3호
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• pp.537-573
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• 2015

Multiple-step beams carrying intermediate lumped masses with/without rotary inertias are widely used in engineering applications, but in the literature for free vibration analysis of such structural systems; Bernoulli-Euler Beam Theory (BEBT) without axial force effect is used. The literature regarding the free vibration analysis of Bernoulli-Euler single-span beams carrying a number of spring-mass systems, Bernoulli-Euler multiple-step and multi-span beams carrying multiple spring-mass systems and multiple point masses are plenty, but that of Timoshenko multiple-step beams carrying intermediate lumped masses and/or rotary inertias with axial force effect is fewer. The purpose of this paper is to utilize Numerical Assembly Technique (NAT) and Differential Transform Method (DTM) to determine the exact natural frequencies and mode shapes of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and/or rotary inertias. The model allows analyzing the influence of the shear and axial force effects, intermediate lumped masses and rotary inertias on the free vibration analysis of the multiple-step beams by using Timoshenko Beam Theory (TBT). At first, the coefficient matrices for the intermediate lumped mass with rotary inertia, the step change in cross-section, left-end support and right-end support of the multiple-step Timoshenko beam are derived from the analytical solution. After the derivation of the coefficient matrices, NAT is used to establish the overall coefficient matrix for the whole vibrating system. Finally, equating the overall coefficient matrix to zero one determines the natural frequencies of the vibrating system and substituting the corresponding values of integration constants into the related eigenfunctions one determines the associated mode shapes. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equations of the motion. The calculated natural frequencies of Timoshenko multiple-step beam carrying intermediate lumped masses and/or rotary inertias for the different values of axial force are given in tables. The first five mode shapes are presented in graphs. The effects of axial force, intermediate lumped masses and rotary inertias on the free vibration analysis of Timoshenko multiple-step beam are investigated.

• 전자공학회논문지
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• 제50권3호
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• pp.50-58
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• 2013

본 논문에서는 제한된 범위의 Signed-Digit number 인코딩과 축약 단계를 이용한 고정소수점 병렬 십진 곱셈기를 제안한다. 제안한 병렬 십진 곱셈기는 승수와 피승수를 제한된 범위의 SD number로 인코딩하여 캐리 전달 지연 없이 빠르게 부분곱을 생성한다. 인코딩에 사용하는 숫자의 범위를 줄임으로써 SD number 다중 피연산자 덧셈의 한번에 연산 가능한 피연산자의 개수가 늘어나게 되고, 이에 따라 부분곱 축약 단계의 연산을 빠르게 수행 할 수 있다. 제안한 병렬 십진 곱셈기의 성능 평가를 위해 Design Compiler에서 SMIC사의 180nm CMOS 공정 라이브러리를 이용하여 합성한 결과 기존의 Signed-Digit number를 이용한 병렬 십진 곱셈기보다 전체 지연시간은 4.3%, 전체 면적은 5.3% 감소함을 확인 하였다. 전체 지연시간 및 면적에서 부분곱 축약 단계가 차지하는 비중이 가장 크므로 부분곱 생성 단계에서 약간의 지연시간 및 면적 증가가 있음에도 불구하고 전체 지연시간과 면적이 감소하는 결과를 얻을 수 있다.

• 대한기계학회논문집B
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• 제20권5호
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• pp.1661-1670
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• 1996

Incompressible flow over a backward-facing step is computed by low Reynolds number turbulence models in order to compare with direct simulation results. In this study, selected low Reynolds number 1st and 2nd (Algebraic Stress Model : ASM) moment closure turbulence models are adopted and compared with each other. Each turbulence model predicts different flow characteristics, different re-attachment point, velocity profiles and Reynolds stress distribution etc. Results by .kappa.-.epsilon. turbulence models indicate that predicted re-attachment lengths are shorter than those by standard model. Turbulent intensity and eddy viscosity by low Reynolds number .kappa.-.epsilon. models are still greater than DNS results. The results by algebraic stress model (ASM) are more reasonable than those by .kappa.-.epsilon. models. The convective scheme is QUICK (Quadratic Upstream Interpolation for Convective Kinematics) and SIMPLE algorithm is adopted. Reynolds number based on step height and inlet free stream velocity is 5100.