• Title/Summary/Keyword: four-manifold

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A Cmparion of Data Structures for Non-manifold Solid Modelers (복합다양체 솔리드 모델러의 자료구조 비교)

  • Choi, Guk-Heon;Han, Soon-Hung
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.11
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    • pp.74-81
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    • 1995
  • Several non-manifold data structures have been compared, which are radial-edge data structure, partial-face data structure, vertex-based data structure, and Yamaguchi's data structrue. All the entities in the data structures are classified into common entities and special entities. The entities are also classified as model entities, primitive entities bounding entities, and coupling entities. The four data structures for nonmanifold solid modelers are compared in terms of accessing efficiency, storage requirements, and inclusion of circulation. The results of comparison will serve as the basis to develope a nonmanifold modeler.

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High Temperature Tensile Properties of Heat-resistant Cast Ferritic Stainless Steels (고내열 페라이트계 스테인레스 주강의 고온인장특성 평가)

  • Jeong, Hyeon Kyeong;Lee, Dong-Geun
    • Journal of the Korean Society for Heat Treatment
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    • v.34 no.1
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    • pp.10-16
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    • 2021
  • Exhaust manifold is a very important component that is directly connected to air environment pollution and that requires strict mechanical properties such as high temperature fatigue and oxidation. Among stainless steels, the ferritic stainless steel with body-centered cubic structure shows excellent resistance of stress-corrosion cracking, ferromagnetic at room temperature, very excellent cold workability and may not be enhanced by heat treatment. The microstructural characteristics of four cast ferritic stainless steels which are high heat-resistant materials, were analyzed. By comparing and evaluating the mechanical properties at room temperature and high temperature in a range of 400℃~800℃, a database was established to control and predict the required properties and the mechanical properties of the final product. The precipitates of cast ferritic stainless steels were analyzed and the high-temperature deformation characteristics were evaluated by comparative analysis of hardness and tensile characteristics of four steels at room temperature and from 400℃ to 800℃.

EXPERIMENTAL APPROACH FOR EVALUATING EXHAUST FLOW DISTRIBUTION FOR PZEV EXHAUST MANIFOLDS USING A SIMULATED DYNAMIC FLOW BENCH

  • Hwang, I.G.;Myung, C.L.;Kim, H.S.;Park, S.
    • International Journal of Automotive Technology
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    • v.8 no.5
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    • pp.575-581
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    • 2007
  • As current and future automobile emission regulations become more stringent, the research on flow distribution for an exhaust manifold and close-coupled catalyst(CCC) has become an interesting and remarkable subjects. The design of a CCC and exhaust manifold is a formidable task due to the complexity of the flow distribution caused by the pulsating flows from piston motion and engine combustion. Transient flow at the exhaust manifold can be analyzed with various computational fluid dynamics(CFD) tools. However, the results of such simulations must be verified with appropriate experimental data from real engine operating condition. In this study, an experimental approach was performed to investigate the flow distribution of exhaust gases for conventional cast types and stainless steel bending types of a four-cylinder engine. The pressure distribution of each exhaust sub-component was measured using a simulated dynamic flow bench and five-hole pitot probe. Moreover, using the results of the pitot tube measurement at the exit of the CCC, the flow distribution for two types of manifolds(cast type and bending type) was compared in terms of flow uniformity. Based on these experimental techniques, this study can be highly applicable to the design and optimization of exhaust for the better use of catalytic converters to meet the PZEV emission regulation.

VANISHING THEOREM ON SINGULAR MODULI SPACES

  • Cho, Yong-Seung;Hong, Yoon-Hi
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1069-1099
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    • 1996
  • Let X be a smooth, simply connected and oriented closed fourmanifold such that the dimension $b_{2}^{+}(X)$ of a maximal positive subspace for the intersection form is greater than or equal to 3.

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Standard criterion of hypervolume under the ROC manifold (ROC 다면체 아래 체적의 판단기준)

  • Hong, C.S.;Jung, D.G.
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.473-483
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    • 2014
  • Even though the ROC manifold for more than three dimensional space which is an extension of the ROC curve and surface has difficulty to represent graphically, the hypervolume under the ROC manifold (HUM) statistic can be defined and obtained based on AUC and VUS measures for the ROC curve and the ROC surface. Hence the definition and characteristics of the HUM for four dimensional space are studied in this work. By extension of the standard criterion of AUC for probabilities of default based on Basel II, the 13 classes of standard criterion of HUM are proposed in order to discriminate four classification models and some application methods are discussed. In order to explore the standard criterion of HUM whose values are obtained from various distributions, ternary plot is used and explained.

Computer Simulation of Extrusion and Die Design for the Extrusion of Butyl Rubber (부틸고무의 압출을 위한 압출해석 및 다이설계)

  • Choi, T.G.;Lee, H.J.;Lyu, M.Y.
    • Elastomers and Composites
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    • v.49 no.4
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    • pp.275-283
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    • 2014
  • Butyl rubber is used as an adhesive and it is mainly used in the form of sheets. The goal of this study is to design an extrusion die for the butyl rubber sheets using computer simulation. The extrusion die for the butylrubber sheets consists of manifold area and land area. In the manifold area, flows are spread from the entrance of the extrusion die to the land area. In the land area, flows become stable to the flow direction and uniform sheet can be obtained. Island area is being installed in the land area to get uniform flow. Four parameters, angle of manifold, length of manifold, length of land and island, were examined in the computer simulation. The optimum geometry of the extrusion die is derived which has a uniform flow in the width direction of the die.

Methodological Approaches to Reduce Uncertainties Associated with Air Sampling : Development and Assessment of a Six-port Manifold MFC System (대기 중 오염물질의 시료채취시 관측오차 저감방법에 대한 연구 : 6구형 매니폴더를 장착한 MFC system의 개발과 평가)

  • 김기현;오상인;최여진;김민영;최규훈
    • Journal of Korean Society for Atmospheric Environment
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    • v.19 no.4
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    • pp.377-386
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    • 2003
  • In order to develop a confident sampling technique, we designed and constructed a 6-port manifold MFC sampling system for collecting gaseous pollutants in air. Using this instrumentation, we tested the performance criteria of MFC system in terms of: (1) flow rate; (2) MFC-to-MFC variability; (3) tube-to-tube variability; and (4) time. It was interesting to find that the later two factors did not show any significant variations, while the former two show substantially large variations. However, as most of those variabilities are consistent enough to form systematic patterns, we were able to explain the occurrence patterns of all those MFC biases in terms of those four major variables. The overall results of our experiment suggest that one needs to use correction factor for each MFC unit under a given flow rate to maintain optimal accuracy and precision for sampling of those pollutants.

VUS and HUM Represented with Mann-Whitney Statistic

  • Hong, Chong Sun;Cho, Min Ho
    • Communications for Statistical Applications and Methods
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    • v.22 no.3
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    • pp.223-232
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    • 2015
  • The area under the ROC curve (AUC), the volume under the ROC surface (VUS) and the hypervolume under the ROC manifold (HUM) are defined and interpreted with probability that measures the discriminant power of classification models. AUC, VUS and HUM are expressed with the summation and integration notations for discrete and continuous random variables, respectively. AUC for discrete two random samples is represented as the nonparametric Mann-Whitney statistic. In this work, we define conditional Mann-Whitney statistics to compare more than two discrete random samples as well as propose that VUS and HUM are represented as functions of the conditional Mann-Whitney statistics. Three and four discrete random samples with some tie values are generated. Values of VUS and HUM are obtained using the proposed statistic. The values of VUS and HUM are identical with those obtained by definition; therefore, both VUS and HUM could be represented with conditional Mann-Whitney statistics proposed in this paper.

WEAKLY EINSTEIN CRITICAL POINT EQUATION

  • Hwang, Seungsu;Yun, Gabjin
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.1087-1094
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    • 2016
  • On a compact n-dimensional manifold M, it has been conjectured that a critical point of the total scalar curvature, restricted to the space of metrics with constant scalar curvature of unit volume, is Einstein. In this paper, after derivng an interesting curvature identity, we show that the conjecture is true in dimension three and four when g is weakly Einstein. In higher dimensional case $n{\geq}5$, we also show that the conjecture is true under an additional Ricci curvature bound. Moreover, we prove that the manifold is isometric to a standard n-sphere when it is n-dimensional weakly Einstein and the kernel of the linearized scalar curvature operator is nontrivial.

Sensitivity of Hot Film Flow Meter in Four Stroke Gasoline Engine

  • Lee, Gangyoung;Lee, Cha--Myung;Park, Simsoo;Youngjin Cho
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.286-293
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    • 2004
  • The air fuel ratios of current gasoline engines are almost controlled by several air flow meters. When CVVT (Continuous Variable Valve Timing) is applied to a gasoline engine for higher engine performance, the MAP (Manifold Absolute Pressure) sensor is difficult to follow the instantaneous air fuel ratio due to the valve timing effect. Therefore, a HFM (Hot Film Flow Meter) is widely used for measuring intake air flow in this case. However, the HFMs are incapable of indicating to reverse flow, the oscillation of intake air flow has an negative effect on the precision of the HFM. Consequently, the various duct configurations in front of the air flow sensor affect the precision of HFM sensitivity. This paper mainly focused on the analysis of the reverse flow, flow fluctuation in throttle upstream and the geometry of intake system which influence the HFM measurement.