• Title/Summary/Keyword: $f_s$

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A Study on the Test of Mean Residual Life with Random Censored Sample (임의 절단된 자료의 평균잔여수명 검정에 관한 연구)

  • 김재주;이경원;나명환
    • Journal of Korean Society for Quality Management
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    • v.25 no.3
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    • pp.11-21
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    • 1997
  • The mean residual life(MRL) function gives the expected remaining life of a item at age t. In particular F is said to be an increasing intially then decreasing MRL(IDMRL) distribution if there exists a turing point $t^*\ge0$ such that m(s)$\le$ m(t) for 0$$\le s$\le$ t $t^*$, m(s)$\ge$ m(t) for $t^*\le$ s$\le$ t. If the preceding inequality is reversed, F is said to be a decreasing initially then increasing MRL(DIMRL) distribution. Hawkins, et al.(1992) proposed test of H0 : F is exponential versus$H_1$: F is IDMRL, and $H_0$ versus $H_1$' : F is DIMRL when turning point is unknown. Their test is based on a complete random sample $X_1$, …, $X_n$ from F. In this paper, we generalized Hawkins-Kochar-Loader test to random censored data.

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SOME CHARACTERIZATIONS OF SINGULAR COMPACTIFICATIONS

  • Park, Keun
    • Communications of the Korean Mathematical Society
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    • v.10 no.4
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    • pp.943-947
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    • 1995
  • Assume that X is locally compact and Hausdorff. Then, we show that $\alpha X = sup {X \cup_f S(f)$\mid$f \in S^{\alpha}}$ for any compactification $\alpha X$ of X if and only if for any 2-point compatification $\gamma X$ of X with $\gamma X - X = {-\infty, +\infty}$, there exists a clopen subset A of \gamma X$ such that $-\infty \in A$ and $+\infty \notin A$. As a corollary, we obtain that if X is connected and locally connected, then $\alpha X = sup {X \cup_f S(f)$\mid$f \in S^{\alpha}}$ for any compactification $\alpha X$ of X if and only if X is 1-complemented.

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Some properties of the set of schwarzians of conformal functions

  • Jong Su An;Tai Sung Song
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.665-672
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    • 1996
  • Let U denote the set of all Schwarzian derivatives $S_f$ of conformal function f in the unit disk D. We show that if $S_f$ is a local extreme point of U, then f cannot omit an open set. We also show that if $S_f \in U$ is an extreme point of the closed convex hull $\bar{co}U$ of U, then f cannot omit a set of positive area. The proof of this uses Nguyen's theorem.

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The Study of Voice Perception with Formant Analysis of Two Myna Bird's Voice Imitation (구관조 음성모방의 음향학적 분석을 통한 음성인식에 대한 고찰)

  • Lee, Ok-Bun;Jeong, Ok-Ran
    • Speech Sciences
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    • v.12 no.2
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    • pp.121-128
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    • 2005
  • This study was an attempt to determine acoustic characteristics in myna bird's notes. Two myna birds' sounds imitating a normal male voice in his late 20's were sampled and analyzed. The analyses included the mean values of F1, F2, F3 and pitch contours. The results were as follows; First, there was a significan difference in the mean values of F1, F2, and F3 in isolatd vowel /a/ and /i/ between the myna birds' sounds and the human voice. However, there was no apparent difference in pitch contour of their formants. Second, there was a difference in pitch contour of their formants in their sentence ('hn-nyung-ha-se-yo?' meaning 'How are you?') production. Namely, the myna birds' pitch contour was located higher than that of the human's.

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SIMPLE ZEROS OF L-FUNCTIONS AND THE WEYL-TYPE SUBCONVEXITY

  • Peter Jaehyun Cho;Gyeongwon Oh
    • Journal of the Korean Mathematical Society
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    • v.60 no.1
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    • pp.167-193
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    • 2023
  • Let f be a self-dual primitive Maass or modular forms for level 4. For such a form f, we define Nsf(T):=|{ρ ∈ ℂ : |𝕵(ρ)| ≤ T, ρ is a non-trivial simple zero of Lf(s)}|.. We establish an omega result for Nsf(T), which is $N^s_f(T) = \Omega(T^{\frac{1}{6}-{\epsilon}})$ for any ∊ > 0. For this purpose, we need to establish the Weyl-type subconvexity for L-functions attached to primitive Maass forms by following a recent work of Aggarwal, Holowinsky, Lin, and Qi.

Shape Design Optimization of Disk Seal in $SF_6$ Gas Safety Valve ($SF_6$ 가스 안전밸브 디스크 시일의 최적설계에 관한 연구)

  • 김청균;조승현
    • Tribology and Lubricants
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    • v.20 no.5
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    • pp.231-236
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    • 2004
  • Sulfur Hexafluoride, S $F_{6}$ is widely used for leak detection and as a gaseous dielectric in transformers, condensers and circuit breakers. S $F_{6}$ gas is also effective as a cleanser in the semiconductor industry. This paper presents a numerical study of the sealing force of disk type seal in S $F_{6}$ gas safety valve. The sealing force on the disk seal is analyzed by the FEM method based on the Taguch's experimental design technique. Disk seals in S $F_{6}$ gas safety valve are designed with 9 design models based on 3 different contact length, compressive ratio and gas pressure. The calculated results of Cauchy stress and strain showed that the sealing characteristics of Teflon $^{ }$PTFE is more effective compared to that of FKM(Viton), which is related to the stiffness of the materials. And also, the contact length of the disk seal is important design parameter for sealing the S $F_{6}$ gas leakage in the safety valve.afety valve.

Effect of Various Feeding Regimen on the Performance of Korean Native Chicken Consuming Broiler Diets (재래닭의 대한 육계사료 급여체계 설정)

  • 나재천;김학규;정행기;강보석;김웅배
    • Korean Journal of Poultry Science
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    • v.25 no.2
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    • pp.65-70
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    • 1998
  • A 16-wk feeding trial was conducted to investigate the proper feeding regimen on the performance of Korean Native Chicken(KNC) consuming broiler diets. Commercial KNC are normally fed 3 kinds of diets during their life span, i. e., starter(S, 0 to 3wk of age), grower(G, 4 to 7wk of age), and finisher(F, 8 to l6wk of age) diets. In this trial, four feeding regimen were employed:T1(S-G-F), T2(S-G-G), T3(S-S-F), and T4(S-F-F). Day-old 360 KNC were randomly allotted to 12 pens: three pens per treatment, and 30 birds per pen. At the end of the trial, the BW of T2 was significantly better than that of T3(P<0.05), and T1 and T4 were intermediate. No significant difference were found in feed intake, feed conversion ratio, and viability among treatments. It appears that, in terms of BW gain, the T2 is the recommendable feeding regimen for KNC consuming broiler diets.

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On a Question of Closed Maps of S. Lin

  • Chen, Huaipeng
    • Kyungpook Mathematical Journal
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    • v.50 no.4
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    • pp.537-543
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    • 2010
  • Let X be a regular $T_1$-space such that each single point set is a $G_{\delta}$ set. Denot 'hereditarily closure-preserving' by 'HCP'. To consider a question of closed maps of S. Lin in [6], we improve some results of Foged in [1], and prove the following propositions. Proposition 1. $D\;=\;\{x{\in}X\;:\;\mid\{F{\in}\cal{F}:x{\in}F\}\mid{\geq}{\aleph}_0\}$ is discrete and closed if $\cal{F}$ is a collection of HCP. Proposition 2. $\cal{H}\;=\;\{{\cup}\cal{F}'\;:\;F'$ is an fininte subcolletion of $\cal{F}_n\}$ is HCP if $\cal{F}$ is a collection of HCP. Proposition 3. Let (X,$\tau$) have a $\sigma$-HCP k-network. Then (X,$\tau$) has a $\sigma$-HCP k-network F = ${\cup}_n\cal{F}_n$ such that such tat: (i) $\cal{F}_n\;\subset\;\cal{F}_{n+1}$, (ii) $D_n\;=\;\{x{\in}X\;:\;\mid\{F{\in}\cal{F}_n\;:\;x{\in}F\}\mid\;{\geq}\;{\aleph}_0\}$ is a discrete closed set and (iii) each $\cal{F}_n$ is closed to finite intersections.

A Study on Brain Activity Induced by Acupuncture on HT8 Point in Perimenopausal Women using fMRI (갱년기 여성의 소부혈(少府穴)(HT8) 자침이 fMRI상의 뇌 활성 변화에 미치는 영향)

  • Jeon, Gyu-Il;Kim, Dong-Il
    • The Journal of Korean Obstetrics and Gynecology
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    • v.24 no.1
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    • pp.42-62
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    • 2011
  • Objective: This study was performed to investigate the effect of acupuncture at HT8 on brain activity in perimenopausal women using fMRI. Methods: 15 healthy perimenopausal women volunteered in the study. No stimulation, sham stimulation, duration of acupuncture treatment on HT8, and rotation of acupuncture treatment on HT8 were randomly given for 6 minutes, with 20 seconds' intervals. Results: 1. In comparison with sham stimulation(Sham-B) and duration of acupucture (S1-B, S1-Sham, S2-S1), the areas of fMRI signal activation areas were just like cases including no stimulation. But the areas of vision were activated in S1-Sham. 2. In comparison with duration of acupuncture(S1-B, S1-Sham, S2-S1) and rotation of acupuncture(S2-B, S2-Sham, S2-S1), the areas of vision were activated in duration of acupuncture, and Supplementary motor area(SMA) were especially activated in rotation of acupuncture. Conclusions: After using fMRI and analysing effect of acupuncture treatment at HT8, we could confirm that fMRI signal activation areas by acupuncture treatment at HT8 were different from areas by sham stimulation. And according to acupuncture stimulation methods with duration and rotation, etc, we could confirm the specific reactions of series, and could get useful basic data for research of acupuncture from now on.

On Deferred f-statistical Convergence

  • Gupta, Sandeep;Bhardwaj, Vinod K.
    • Kyungpook Mathematical Journal
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    • v.58 no.1
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    • pp.91-103
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    • 2018
  • In this paper, we generalize the concept of deferred density to that of deferred f-density, where f is an unbounded modulus and introduce a new non-matrix convergence method, namely deferred f-statistical convergence or $S^f_{p,q}$-convergence. Apart from studying the $K{\ddot{o}}the$-Toeplitz duals of $S^f_{p,q}$, the space of deferred f-statistically convergent sequences, a decomposition theorem is also established. We also introduce a notion of strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by modulus f and investigate the relationship between deferred f-statistical convergence and strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by f.