• Title/Summary/Keyword: $\xi$ 계수

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Exploratory data analysis for Chatterjee's ξ coefficient (Chatterjee의 ξ 계수에 대한 탐색적자료분석)

  • Jang, Dae-Heung
    • The Korean Journal of Applied Statistics
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    • v.35 no.3
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    • pp.421-434
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    • 2022
  • Chatterjee (2021) proposed a new correlation coefficient ξ. Focusing on two questions (1. Is ξ coefficient distinguishable for Anscombe's quartet data set?, 2. How does the ξ coefficient value change according to the number of data for various kinds of scatterplots?), an exploratory data analysis is attempted for ξ coefficient. We can compare three measures (ξ coefficient, Pearson's correlation coefficient and mutual information).

On $L^1(T^1)$ - Convergence of Fourier Series with BV - Class Coefficients (BV - 족 계수를 갖는 푸리에 급수의 $L^1(T^1)$ - 수렴성에 관하여)

  • Lee, Jung-Oh
    • Journal of Integrative Natural Science
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    • v.1 no.3
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    • pp.216-220
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    • 2008
  • In general the Banach space $L^1(T^1)$ doesn't admit convergence in norm. Thus the convergence in norm of the partial sums can not be characterized in terms of Fourier coefficients without additional assumptions about the sequence$\{^{\^}f(\xi)\}$. The problem of $L^1(T^1)$-convergence consists of finding the properties of Fourier coefficients such that the necessary and sufficient condition for (1.2) and (1.3). This paper showed that let $\{{\alpha}_{\kappa}\}{\in}BV$ and ${\xi}{\Delta}a_{\xi}=o(1),\;{\xi}{\rightarrow}{\infty}$. Then (1.1) is a Fourier series if and only if $\{{\alpha}_{\kappa}\}{\in}{\Gamma}$.

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Dynamic Stress Intensity Factor $K_{IIID}$ for a Propagating Crack in Liner Functionally Gradient Materials Along X Direction (X방향의 선형함수구배인 재료에서 전파하는 균열의 동적응력확대계수 $K_{IIID}$)

  • Lee, Kwang-Ho
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.3-8
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    • 2001
  • Dynamic stress intensity factors (DSIFs) are obtained when a crack propagates with constant velocity in rectangular functionally gradient materials (FGMs) under dynamic mode III load. To obtain the dynamic stress intensity factors, it is used the general stress and displacement fields of FGMs for propagating crack and the boundary collocation method (BCM). The stress intensity factors and energy release rates are the greatest in the increasing properties $(\xi>0)$, next constant properties $(\x=0)$ and decreasing properties $(\xi<0)$ under constant crack tip properties and crack tip speed.

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A Study on Caissons for Accelerating Consolidation Considering Anisotropic Permeability (비등방 투수성을 고려한 압밀촉진 케이슨 기초공법에 관한 연구)

  • 박정순;조남준
    • Journal of the Korean Geotechnical Society
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    • v.19 no.4
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    • pp.7-14
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    • 2003
  • This study has investigated the feasibility of caissons for accelerating consolidation (C.A.C.) constructed in clays with anisotropic permeability by improving the former study on C.A.C. in isotropic clays. Analytical solutions for excessive pore water pressures of two-dimensional consolidation equation and average degrees of consolidation with varying time factors have been provided by considering anisotropic permeability. With varying anisotropic permeability ratios of 5, 10, and 50, consolidation times required for reaching the average degree of consolidation of 90% for C.A.C. at the section of $\xi$=0.1 are shorter than those for conventional caissons by 8, 13, and 47 times, respectively. C.A.C. is more effective in reducing consolidation time as anisotropic permeability ratio increases. This study provides also plots for average degrees of consolidation versus the width to depth ratios of analyzed sections and permeability ratios, which will enable engineers to determine easily average consolidation settlements.

Development of high performance liquid chromatography assay method of diosmin capsules (디오스민 캡슐의 HPLC 분석법의 개발)

  • Shim, Dae Hyun;Shin, Dong Han;Truong, Quoc Ky;Mai, Xuan Lan;Kang, Jong-Seong;Woo, Mi Hee;Na, Dong-Hee;Chun, In-Koo;Kim, Kyeong Ho
    • Analytical Science and Technology
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    • v.29 no.6
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    • pp.277-282
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    • 2016
  • British Pharmacopoeia (BP 2013), the United States Pharmacopoeia (USP 39) and the Korean Pharmacopoeia (KP XI) contain monographs for the quality control of raw diosmin using high performance liquid chromatography (HPLC). However, official monographs detailing pharmaceutical formulations for diosmin are not available in foreign pharmacopoeias. In the KP XI, ultraviolet-visible (UV-Vis) spectroscopy-which is less specific than HPLC-is reported for the testing of diosmin capsules. In this study, we present an alternative HPLC assay for such testing that is more specific than UV-Vis methods. Method validation was performed to determine linearity, precision, accuracy, system suitability, and robustness. The linearity of calibration curves in the desired concentration range was high ($r^2$>0.999), while the RSDs for intra- and inter-day precision were 0.15-0.29 % and 1.05-1.74%, respectively. Accuracies ranged from 101.2-103.2 %, while the retention time and peak area RSDs were 0.37 % and 0.06 %, respectively. Additionally, the plate number and asymmetry factor values for diosmin were 3591.293 and 1.35, respectively. Since the intermediate-precision and robustness of the assay were satisfactory, this method will be a valuable addition to the Korean Pharmacopoeia (KP XI).

Evaluation of Pressure-Temperature Limit Curve for the Safe Operation of an RFV based on 3-D Finite Element Analyses (유한요소해석을 이용한 원자로용기 압력-온도 한계곡선의 평가)

  • Lee, Taek-Jin;Park, Yun-Won;Lee, Jin-Ho;Choe, Jae-Bung;Kim, Yeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.10
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    • pp.1567-1574
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    • 2001
  • In order to operate an RPV safely it is necessary to keep the pressure-temperature (P-T) limit during the heatup and cooldown process. While the ASME Code provides the P-T limit curve for safe operation, this limit curve has been prepared under conservative assumptions In this paper the effects of conservative assumptions involved in the P-T limit curve specified in the ASME Code Sec. XI were investigated. Three different parameters the crack depth the cladding thickness and the cooling rate, were reviewed based on 3-D finite element analyses. Also the constraint effect on P-T limit curve generation was investigated based on J- T approach. It was shown that the crack depth and the constraint effect change the safe region in P-T limit curve significantly Therefore it is recommended to prepare a more precise P-T limit curve based on finite element analysis to obtain P-T limit for safe operation of an RPV.

Construction of the P-T Limit Curve for the Nuclear Reactor Pressure Vessel Using Influence Coefficient Methods : Cooldown Curve (영향계수를 이용한 원자로 압력용기의 운전제한곡선 작성 : 냉각곡선)

  • Jang, Chang-Hui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.3
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    • pp.505-513
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    • 2002
  • During heatup and cooldown of pressurized water reactor, thermal stress was generated in the reactor pressure vessel (RPV) because of the temperature gradient. To prevent potential failure of RPV, pressure was required to be maintained below the P-T limit curves. In this paper, several methods for constructing the P-T limit curves including the ASME Sec. XI, App. G method were explained and the results were compared. Then, the effects of the various parameters such as flaw size, flaw orientation, cooldown rate, existence of chad, and reference fracture toughness, were evaluated. It was found that the current ASME Sec. XI App. G method resulted in the most conservative P-T limit curve. As the more accurate fracture mechanics analysis results were used, some of the conservatism can be removed. Among the parameters analysed, reference flaw orientation and reference fracture toughness curve had the greatest effect on the resulting P-T limit curves.

Development of Fracture Mechanics Analysis System (파괴역학분석 시스템 개발)

  • 신진호
    • Proceedings of the Korean Information Science Society Conference
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    • 2002.10d
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    • pp.700-702
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    • 2002
  • 원자력발전소 1차계통 주요기기와 2차계통 주요기기들에 대한 가동 중 검사시 발견된 결함은 ASME Sec. XI, IWB와 IWC에 근거하여 허용여부를 결정한다. 이때, 결함 크기가 허용기준을 초과하는 경우에는, 기기의 안전성 확보를 위해 ASME Sec. XI에 규정된 절차에 따라 파괴역학분석(Fracture Mechanics Analysis: FMA)을 수행하고, 그 결과에 따라 운전중지 후 보수 또는 계속운전의 판단을 한다. 따라서, 원자력발전소 주요기기에 대한 FMA기술은 안전성평가의 핵심이 되는 부분이다. 원자력발전소의 안전성평가에는 결함의 형상 정보, 환경 정보, 재료 물성치, 응력 데이터 등 방대한 양의 데이터가 필요할 뿐 아니라 파괴역학적 분석절차도 매우 복잡하여 전문가도 많은 시간과 노력이 요구된다. 이러한 문제점을 해결하고자 일부 평가절차를 컴퓨터 프로그램화하여 효율적인 안전성평가가 이루어지도록 노력하고 있다. 본 논문에서는 파괴역학적 분석에 필요한 응력 데이터를 관리하는 응력 데이터베이스를 구축하고, 응력확대계수계산 프로그램(KEVA)과 결함허용여부를 결정하는 프로그램(Acceptance Standard)과 결함성장률 계산 프로그램(FLEVA)을 Web 기반으로 개발하고 구현결과를 소개한다.

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Determination of Reactivities by MO Theory (XI). Nucleophilic Substitution Reactions of N-Acetylpyrrolidone (MO 理論에 依한 反應性의 決定 (XI). N-아세틸피롤리돈의 親核性 置換反應)

  • Lee Ikchoon;Chung Dae Hyung;Lee Suk-kee;Kim Shi Choon
    • Journal of the Korean Chemical Society
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    • v.21 no.6
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    • pp.413-421
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    • 1977
  • The orbital mixing analysis was applied to the acid-catalyzed nucleophilic substitution reaction of N-acetylpyrrolidone. It was found that the reactivity of protonated carbonyl carbon is greatly enhanced due to increase in positive charge (for charge controlled reaction) and also increase in LUMO AO coefficient (for orbital controlled reaction) of the carbonyl carbon atom.

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An Analysis of Stress Intensity Factor for Presented Crack in L.N.G. Piping (LNG배관에 존재하는 균열에 대한 응력확대계수 해석)

  • 조천연;한지원;우흥식
    • Journal of the Korean Society of Safety
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    • v.11 no.4
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    • pp.115-121
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    • 1996
  • This paper describes an analysis of the stress intensity factor (SIF) of the presented cracks in LNG piping. The stress analysis used the Finite Element Method. The stress Intensity factor calculated Raju & Newmann equation and ASME Section XI method. The cracks in the flanges are found to be influenced by temperature, but the cracks of the piping are found not to be influenced by temperature. If the cracks shape in the flanges and the cracks shape of the piping are same each other, the cracks in the flange will be dangerous more than the cracks of the piping.

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