• Journal of the Korean Mathematical Society
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• v.47 no.1
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• pp.41-62
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• 2010

In this article, we discuss a Grobner basis algorithm related to the stability of algebraic varieties in the sense of Geometric Invariant Theory. We implement the algorithm with Macaulay 2 and use it to prove the stability of certain curves that play an important role in the log minimal model program for the moduli space of curves.

• Transactions of the Korean Society of Mechanical Engineers
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• v.13 no.1
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• pp.59-66
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• 1989

The purpose of this study is to develop a personal computer aided 3-D geometric modeller. To perform this study, we set up a cube, cylinder, and a prism as primitives in the first segment of this study. By modelling the 3-D object through their transformation, addition, and subtraction, we proved the validity of the developed algorithm and its computer program. Some examples show the results of applying the program to model a few simple shapes of the machine parts. These results met the first aim of this study.

• Management Science and Financial Engineering
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• v.18 no.2
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• pp.23-27
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• 2012

The problem of jointly determining a robust optimal bundle of price and order quantity for a retailer in a single-retailer, single supplier, single-product supply chain is considered. Demand is modeled as a decreasing power function of product price, and unit purchasing cost is modeled as a decreasing power function of order quantity and demand. Parameters defining the two power functions are uncertain but their possible values are characterized by ellipsoids. We extend a previous study in two ways; the purchasing cost function is generalized to take into account the economies of scale realized by higher product demand in addition to larger order quantity, and an exact transformation into an equivalent convex optimization program is developed instead of a geometric programming approximation scheme proposed in the previous study.

• Korean Journal of Computational Design and Engineering
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• v.10 no.6
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• pp.381-391
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• 2005

The design methodology of injection molding die has been changed from two-dimensional drafting to three-dimensional solid modeling, which is due to many advantages over the conventional methodology in terms of design modification and data associativity. In addition to the solid modeling capability, it is required for a mold designer to utilize a database management system that facilitates efficient mold design. In the paper presented is the implementation of a software program which automatically generates three-dimensional mold-bases including standard parts and slider parts, conforming to given geometric constraints. It is based on a commercial CAD system (Unigraphics NX) along with related API (application program interface) libraries. The research is expected to reduce design efforts and simplify construction of a complex three-dimensional mold-base model that is comprised of standard parts and slider parts, by use of the three-dimensional database and automatized geometric dimensioning.

• Proceedings of the KSR Conference
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• 2006.11b
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• pp.85-90
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• 2006

The characteristics of geometric contact between the wheel and rail on the turnout must be precisely investigated to limit the speed of trains at a turnout. The characteristics of the contact have an effect on the derailment of trains at a turnout and maintenance of a turnout. In this paper, an analysis program for characterization of the contact on a turnout is first developed. With the developed program, the characteristics of geometric contact, including the contact during steady state running, were analyzed and discussed for improving the safety of trains.

• Journal of the Korean Society of Costume
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• v.60 no.6
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• pp.11-22
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• 2010

Purpose: The purpose of this study is to develop golf wear textile design, produce simulation and samples, and create original designs using geometric patterns. Significance: If modern people's trend to pursue well-being is be associated with healthy and active lifestyle and the design which combines a sport sense into artistic image appears in golf wear, it is a very significant effort to settle the role of sport as a mega trend. Contents: This study examined the general concept of geometric patterns and the situation and characteristics of women's golf wear. Finally, the design and simulation of gold wear textile were proposed. Study Instruments: For theoretical research, articles, books, literatures, and Internet materials published at home and abroad were reviewed and collected. For empirical research, a dot, a stripe(a line), a square, and an oval were selected and simulation was tested visually after the development of textile designs. Finally it was directly produced and golf wear design was developed. Photoshop CS 3 and Wacom intuos 3 were used as a general-purpose program and hardware respectively. DTP printing was used for sample work. Based on research results, geometric patterns range broadly and diversely from prehistoric remains and relics to contemporary art, design, architecture, and fashion. It is a unique formative element with value and attraction as the infinite object of inquiry beyond an area and the times. The combination of geometric patterns with art touch could complement the rigidity of design. It contributed to the perception of important role of art in the design area, namely, the importance of design containing artistry.

• Computational Structural Engineering
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• v.7 no.1
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• pp.69-81
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• 1994

This paper summarizes a dynamic analysis of the shallow circular arches under dynamic loading, considering the geometric nonlinearity. The major emphasis is placed on the development of computer program, which is utilized for the analysis of the nonlinear dynamic behavior and for the evaluation of the critical buckling loads of the shallow circular arches. Geometric nonlinearity is modeled using Lagrangian description of the motion and a finite element analysis procedure is used to solve the dynamic equation of motion. A circular arch subject to normal step load is analyzed and the results are compared with those from other researches to verify the developed program. The critical buckling loads of arches are estimated using the non-dimensional time, load and shape parameters and the results are also compared with those from the linear analysis. It is found that geometric nonlinearity plays and important role in the analysis of shallow arches and the probability of buckling failure is getting higher as arches become shallower.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2022.10a
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• pp.225-228
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• 2022

The method of calculating the architectural design cost of the Korean Society of Architecture Policy considers the time spent during the design period. Therefore, faster design times can reduce design costs. As a result of a survey of students majoring in architecture, they felt tiredness from repeated floor plan drawings and difficulties in that there were many things to consider when floor plan drawing. In this paper, we implement a program that can automatically convert sketches into standardized floor plans during the architectural design process and a web app for user convenience. In the proposed method, when a user registers a sketch image through a web app, the program separates the space in the drawing through geometric shapes detection. Based on the dimensions and spatial information shown in the sketch, the outer and inner walls are displayed and the appropriate furniture is placed in the space. Through the proposed method, the design cost can be expected to be reduced by reducing the time of the drawing process in the architectural design stage, and 95.2% of architectural students expressed their intention to use the program.

• Transactions of the Korean Society of Automotive Engineers
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• v.5 no.5
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• pp.197-212
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• 1997

The performance of a torque converter can be expressed by the performance parameters such as flow radius and flow angle, on the mean flow path. The geometric analysis of the torque converter is required to determine these parameters for the modeling of the torque converter. In general, the blade shape is depicted by three dimensional data at the mid-surface of blade or those of the pressure and suction side. To generate three dimensional model of the blade using the data mentioned above, a consistent data format and a shape generation algorithm are required. This paper presents a useful consistent data format of the blades and an algorithm for the geometrical shape generation. By the geometric analysis program to which the shape generation algorithm is embedded, the variation of blade angles in rotating element analyzed. Then finally, the analyzed results of geometric profile of a blade are compared with those of the blade design principle, so called forced vortex theorem.

• Journal of the Korean Society for Precision Engineering
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• v.9 no.1
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• pp.96-105
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• 1992

A study on the construction of a CAD/CAM system operated by 16 Bit PC basic language, for machining sculptured surface of die, was carried out. The system consists of 2 steps i.e., process for geometric modelling by wire frame and process for machining data generation. Geometric modelling for sculptured surface is made by the point data fitting, parallel sweeping, normal sweeping and linear connection of cross section curve. Machining data are gained by cutter off-set of geometric model data and machining carried out by DNC. This system is to be proved enough for rough cutting by actual machining experiment. But, for becoming a high level system, another method of cutter off-set has to be regarded and system must be reconstructed by another program language.