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A SUPPLEMENT TO PRECISE ASYMPTOTICS IN THE LAW OF THE ITERATED LOGARITHM FOR SELF-NORMALIZED SUMS

  • Hwang, Kyo-Shin
    • Journal of the Korean Mathematical Society
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    • v.45 no.6
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    • pp.1601-1611
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    • 2008
  • Let X, $X_1$, $X_2$, ... be i.i.d. random variables with zero means, variance one, and set $S_n\;=\;{\sum}^n_{i=1}\;X_i$, $n\;{\geq}\;1$. Gut and $Sp{\check{a}}taru$ [3] established the precise asymptotics in the law of the iterated logarithm and Li, Nguyen and Rosalsky [7] generalized their result under minimal conditions. If P($|S_n|\;{\geq}\;{\varepsilon}{\sqrt{2n\;{\log}\;{\log}\;n}}$) is replaced by E{$|S_n|/{\sqrt{n}}-{\varepsilon}{\sqrt{2\;{\log}\;{\log}\;n}$}+ in their results, the new one is called the moment version of precise asymptotics in the law of the iterated logarithm. We establish such a result for self-normalized sums, when X belongs to the domain of attraction of the normal law.

ON THE SIGNED TOTAL DOMINATION NUMBER OF GENERALIZED PETERSEN GRAPHS P(n, 2)

  • Li, Wen-Sheng;Xing, Hua-Ming;Sohn, Moo Young
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.2021-2026
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    • 2013
  • Let G = (V,E) be a graph. A function $f:V{\rightarrow}\{-1,+1\}$ defined on the vertices of G is a signed total dominating function if the sum of its function values over any open neighborhood is at least one. The signed total domination number of G, ${\gamma}^s_t(G)$, is the minimum weight of a signed total dominating function of G. In this paper, we study the signed total domination number of generalized Petersen graphs P(n, 2) and prove that for any integer $n{\geq}6$, ${\gamma}^s_t(P(n,2))=2[\frac{n}{3}]+2t$, where $t{\equiv}n(mod\;3)$ and $0 {\leq}t{\leq}2$.

EXPRESSIONS OF MEROMORPHIC SOLUTIONS OF A CERTAIN TYPE OF NONLINEAR COMPLEX DIFFERENTIAL EQUATIONS

  • Chen, Jun-Fan;Lian, Gui
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.1061-1073
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    • 2020
  • In this paper, the expressions of meromorphic solutions of the following nonlinear complex differential equation of the form $$f^n+Qd(z,f)=\sum\limits_{i=1}^{3}pi(z)e^{{\alpha}_i(z)}$$ are studied by using Nevanlinna theory, where n ≥ 5 is an integer, Qd(z, f) is a differential polynomial in f of degree d ≤ n - 4 with rational functions as its coefficients, p1(z), p2(z), p3(z) are non-vanishing rational functions, and α1(z), α2(z), α3(z) are nonconstant polynomials such that α'1(z), α'2(z), α'3(z) are distinct each other. Moreover, examples are given to illustrate the accuracy of the condition.

Failure Cause Analysis for Loss of Off-site Power Test during Normal Full Power Operation On Wolsong-4 NPP (월성원전 4호기 전 출력 운전시 소외전원상실시험 실패 원인분석)

  • Chang, Tae-Hee
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.175-181
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    • 2000
  • 월성원자력4호기가 '99.06.09일 11:53분 경 전출력 소외전원상실시험시 주발전기 병입차단기 및 기동용변압기 차단기의 트립과 동시에 예상 밖의 13.8Kv 원자로 냉각재펌프모터#3(9.000HP)이 순시과전류 보호계전기(50Y) 동작으로 트립되어 이로 인한 냉각재 저유량으로 원자로 제1정지계통이 동작되고 원자로가 비상정지 되어 동 시험이 실패되었음. 이 비정상적인 고장은 예비디젤발전기의 수동 기동 병입과 터빈 수동 정지 및 주발전기 트립후 적절한 조치로 소내전원은 정상적으로 복구되었음. 이에 대해 냉각재펌프모터#3의 순시과전류 동작 원인을 유도전동기의 전원상실 후 발생되는 잔류전압(Residual Voltage)과 공급 모선전압(Bus Voltage) 측면에서 분석하며, 모터의 회전속도, 위상각, 잔류전압크기 변화 및 신속개방 절체시 냉각재펌프모터의 돌입 기동전류를 계산하고, PSS/E 프로그램을 사용한 간략한 모의 사례로 검증하였으며 이에 대한 재발방지를 위한 대책을 제시함.

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Bayesian Methods for Generalized Linear Models

  • Paul E. Green;Kim, Dae-Hak
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.523-532
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    • 1999
  • Generalized linear models have various applications for data arising from many kinds of statistical studies. Although the response variable is generally assumed to be generated from a wide class of probability distributions we focus on count data that are most often analyzed using binomial models for proportions or poisson models for rates. The methods and results presented here also apply to many other categorical data models in general due to the relationship between multinomial and poisson sampling. The novelty of the approach suggested here is that all conditional distribution s can be specified directly so that staraightforward Gibbs sampling is possible. The prior distribution consists of two stages. We rely on a normal nonconjugate prior at the first stage and a vague prior for hyperparameters at the second stage. The methods are demonstrated with an illustrative example using data collected by Rosenkranz and raftery(1994) concerning the number of hospital admissions due to back pain in Washington state.

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Magnetic Properties of Powdered Fe Cores Containing Stainless Steel-making Dusts (스테인레스 제강분진을 함유한 순철 압분코아의 자기특성)

  • Kim S. W.
    • Korean Journal of Materials Research
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    • v.15 no.2
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    • pp.106-111
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    • 2005
  • Effects of stainless steel-making dusts and binder content on compacting $density(\rho)$ and magnetic properties were evaluated. Cores compacted with the mixture of pure Fe powders, $5wt.\%$ dusts and $0.25wt.\%$ binder showed good AC magnetic properties. For example, permeability$({\mu}a)$ and core loss(P) of the cores containing $5wt.\%$ dusts at 500 kHz were 62 and $4008\;{\mu}W/cm^3$, respectively. These properties are almost equivalent to those of competitor's products (i.e, Ancorsteel TC 80 produced by $H\ddot{o}gan\ddot{a}s$ Corp.). The powdered cores obtained from the present work are expected to apply for high-performance soft magnetic components such as normal mode choke filter and pulse transformer.

CABG in Coronary Aneurysm Due to Kawasaki Disease (가와사키병에 의한 관상동맥류의 관상동맥우회로술 -치험 1례-)

  • Kim, Jong-Uk;Lee, Jae-Won;Song, Myeong-Geun
    • Journal of Chest Surgery
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    • v.28 no.4
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    • pp.398-400
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    • 1995
  • Kawasaki s disease is a multisystemic disorder that is an important cause of cardiovascular disease in children. We experienced a case of coronary artery aneurysm secondary to Kawasaki s disease. The patient was 12-year-old female presented as exertional dyspnea & chest pain[NYHA classII . Her coronary angiogram showed saccular aneurysms at proximal right coronary artery and proximal left anterior descending artery. CABG was performed by use of double internal mammary artery.Postoperative E.K.G. showed a normal pattern.She discharged at postoperative 10th day without problem. 4 months after discharge, she had no dyspnea & chest pain in exertion[NYHA class I .

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Novel Calibration Method for the Multi-Camera Measurement System

  • Wang, Xinlei
    • Journal of the Optical Society of Korea
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    • v.18 no.6
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    • pp.746-752
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    • 2014
  • In a multi-camera measurement system, the determination of the external parameters is one of the vital tasks, referred to as the calibration of the system. In this paper, a new geometrical calibration method, which is based on the theory of the vanishing line, is proposed. Using a planar target with three equally spaced parallel lines, the normal vector of the target plane can be confirmed easily in every camera coordinate system of the measurement system. By moving the target into more than two different positions, the rotation matrix can be determined from related theory, i.e., the expression of the same vector in different coordinate systems. Moreover, the translation matrix can be derived from the known distance between the adjacent parallel lines. In this paper, the main factors effecting the calibration are analyzed. Simulations show that the proposed method achieves robustness and accuracy. Experimental results show that the calibration can reach 1.25 mm with the range about 0.5m. Furthermore, this calibration method also can be used for auto-calibration of the multi-camera mefasurement system as the feature of parallels exists widely.

Human Sensitivity Responses to Vibrotactile Stimulation on the Hand : Measurement of Differential Thresholds (진동식 촉각 자극에 대한 손의 상대적 민감도 반응)

  • Lee, Seong-Il
    • Journal of the Ergonomics Society of Korea
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    • v.18 no.3
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    • pp.1-12
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    • 1999
  • This study investigated human operator's perceptual and psychophysical responses to vibrotactile stimulation on various parts of the hand. Using a small vibrotactile display, the effects of three mechanical parameters consisting vibrotactile stimulations, i.e., vibration frequency, pulse-width modulation duty cycle, and number of contactors, on differential thresholds were examined at five different loci of the hand. It was observed that differential threshold varies with vibration frequency and number of active contactors. Differential sensitivity was the greatest at the vibration frequency of 120 Hz. The differential sensitivity was not found to be affected by loci on the hand. The area of stimulation on the hand was also found to be significant in that the sensitivity increased with the number of active contactors. It should be noted that the conclusions from this study generally correspond to those from the previous study on the absolute sensitivity. which means that tactile sensitivity to vibrotactile stimulations can be controlled with a systematic and consistent passion for emulating normal everyday contact on human hands in teleoperation and virtual reality applications.

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CLINICAL ASSESSMENT OF THE VELOPHARYNGEAL INCOMPETENCY SPEAKERS WITH SPEECH AIDS (발음보조장치를 이용한 비인강폐쇄부전환자의 음성언어 평가)

  • Ko, Seung-O;Shin, Hyo-Keun
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.26 no.4
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    • pp.414-421
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    • 2000
  • The objective evaluation of velopharyngeal closure function is the key to diagnosis and therapy control of velopharyngeal incompetency. The aim of this study is to evaluate the aerodynamic and acoustic characteristics of the velopharyngeal closure function of patients who have developed velopharyngeal incompetency after management with speech aids. The test words were composed of sustained vowels /a/, /i/, /e/, /u/, /ja/, /je/, /wi/ and polysyllabic words /p'ap'i/, /siso/, /mami/ for measuring nasalance, The data was collected before the placement of the speech aids and one to three months after. The results were as follows: The nasalance score of the velopharyngeal incompetency speakers was higher than that of the normal control group, except for nasal sounds, and was decreased after placement of the speech aids, especially in high vowels /i/ (P<.01) and /wi/ (P<.05).

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