• 제목/요약/키워드: L-function

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Bayesian and maximum likelihood estimation of entropy of the inverse Weibull distribution under generalized type I progressive hybrid censoring

  • Lee, Kyeongjun
    • Communications for Statistical Applications and Methods
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    • 제27권4호
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    • pp.469-486
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    • 2020
  • Entropy is an important term in statistical mechanics that was originally defined in the second law of thermodynamics. In this paper, we consider the maximum likelihood estimation (MLE), maximum product spacings estimation (MPSE) and Bayesian estimation of the entropy of an inverse Weibull distribution (InW) under a generalized type I progressive hybrid censoring scheme (GePH). The MLE and MPSE of the entropy cannot be obtained in closed form; therefore, we propose using the Newton-Raphson algorithm to solve it. Further, the Bayesian estimators for the entropy of InW based on squared error loss function (SqL), precautionary loss function (PrL), general entropy loss function (GeL) and linex loss function (LiL) are derived. In addition, we derive the Lindley's approximate method (LiA) of the Bayesian estimates. Monte Carlo simulations are conducted to compare the results among MLE, MPSE, and Bayesian estimators. A real data set based on the GePH is also analyzed for illustrative purposes.

ON THE MEAN VALUES OF L(1, χ)

  • Wu, Zhaoxia;Zhang, Wenpeng
    • 대한수학회보
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    • 제49권6호
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    • pp.1303-1310
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    • 2012
  • Let $p$ > 2 be a prime, and let $k{\geq}1$ be an integer. Let ${\chi}$ be a Dirichlet character modulo $p$, and let $L(s,{\chi})$ be the Dirichlet L-function corresponding to ${\chi}$. In this paper we consider the mean values of $$\sum_{{\chi}\;mod\;p\\{\chi}(-1)=-1}{\chi}(2^k)|L(1,\chi)|^2$$.

폐 기능검사가 불량한 2기 폐암환자에서 시행한 우전폐절제술 - l예 보고 - (Rt. Pneumonectomy in a Lung Cancer Patient with Poor Pulmonary function Test - A Case Report -)

  • 진웅;이선희;전진영;홍성진;심성보;박재길;곽문섭
    • 대한기관식도과학회지
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    • 제6권2호
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    • pp.192-195
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    • 2000
  • Pulmonary function test is used as a guideline for safe pulmonary resection without complications. Usually FEVl lower than 1 liter is considered as a contraindication of lobectomy. Therefore, the curative operation of resectable lung cancer can not be performed in the case of poor pulmonary functions. Nowadays, there are some arguing points about the value of preoperative PFTs before the pulmonary resection. We performed a right pneumonectomy for stage H lung cancer in a patient with poor lung function test; FVC 2.17L, FEVl 0.97L, FEVl/FVC 44%, FEF 25-75% 0.42L/sec, MVV 28L/min, TLC 5.18L, RV 2.99. During 4 months follow up, the patient had been tolerable. The follow up PFTs at postoperative 3 months 18 days showed up as follows; FVC 1.20L, FEVI 0.63L, FEVl/FVC 53%, FEF 25-75% 0.31L/sec, MVV 25L/min, TLC 3.80L, RV 2.33L.

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L-Arginine의 흰쥐 적출심근보호 효과에 관한 연구 (Study on Myocardial Protective Effect of L-arginine)

  • 이인성;이헌재
    • Journal of Chest Surgery
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    • 제29권10호
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    • pp.1076-1080
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    • 1996
  • 허혈후 재관류시 일산화질소의 전구체인 L-arginin에 심근기능에 미치는 영향은 각 연구의 조건에 따라 일정하지 않다. 저자들은 L-arginine의 농도에 의한 심근보호효과의 차이를 알아보고자 본 연구를 시행하였다. 란겐돌프 관류장치하의 흰쥐 적출심장에 37.5$^{\circ}C$에서 30분의 허혈과 30분의 재관류를 실시하면서 재관류시 관류액에 L-arginine을 첨가하여 농도를 1, 2, 3, 4 mm/L로 하였고 대 조군에는 L-arginine을 첨가하지 않았다. 허혈기 직전과 재관류 30분에 좌심실 수축기능(좌심실 발생압, 좌심실압 최대 순간 증가율), 이완기능(좌심실압 최대 순간 감소율)과 관상관류량을 측정하였다. L-arginine 농도가 1mm/L, 2 mm/L인 실험군은 좌심실 발생압, 좌심실압 최대 순간증가율, 좌심실압 최대 순간감소율 및 관상관류량의 회복률이 대조군에 비해 통계적 유의성은 없었으나 우수한 경향을 보였다. 그러나 L-arginine의 농도가 증가함에 따라 회복률은 감소하여 4 mM/L농도의 실험군은 대조군보다 유의하게 낮은 회복률을 보였다(p(0.05). 이러한 연구결과를 통해 심근허혈후 재관류시 심근기능 및 관상관류량 회복을 향상시키기 위해서는 L-arginine을 2mM/ 이하의 농도로 투여 해야 하며 향후 그 이상의 높은 농도에서 나타난 회복 저하에 관한 연구가 필요할 것으로 생각된다.

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Mediating Effect of Cognitive Function on the Relationship Between Geriatric Oral Health and Quality of Life Among Korean Seniors

  • Chang, Eun Jee;Woo, Hyun-Jae;Jeong, Kyu-Hyoung
    • Journal of Preventive Medicine and Public Health
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    • 제55권1호
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    • pp.106-113
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    • 2022
  • Objectives: Previous studies have found that the oral health of seniors can affect their physical nutrition and quality of life (QoL). Additionally, poor oral health can lead to the development of dementia, which is associated with decreased cognitive function. This study aimed to examine the impact of geriatric oral health (GOH) on the QoL of Korean seniors and the mediating effects of cognitive function. Methods: We used data from the seventh Korean Longitudinal Study of Aging conducted in 2018. In total, 4049 seniors were included in our study. We analyzed the impact of GOH on QoL according to 5 mediating domains of cognitive function and control variables. To examine each path of mediating effects, bootstrapping with 5000 iterations was performed with 95% confidence intervals. Results: Our findings revealed that good GOH had a positive effect on the QoL of seniors. Also, better GOH corresponded to a higher degree of cognitive function within all 5 domains: orientation, memory registration, attention/calculation, memory recall, and language and visuospatial ability. In addition, 3 domains of the 5 domains (attention/calculation, memory recall, and language and visuospatial ability) had significant mediating effects on the relationship between GOH and QoL. Conclusions: This study suggests that adequate management of GOH is crucial for promoting a better QoL and a high degree of cognitive function among seniors. To prevent cognitive impairment, such as dementia, future studies should take a more targeted approach by examining data according to each cognitive domain and various socio-demographic factors.

The Characteristics related to Pulmonary Rehabilitation in Patients with Chronic Obstructive Pulmonary Disease: A Cross-sectional Study, Data from the Korea National Health and Nutrition Examination Survey 2015-2019.

  • Kyeongbong Lee
    • Physical Therapy Rehabilitation Science
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    • 제12권3호
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    • pp.229-239
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    • 2023
  • Objective: Patients with chronic obstructive pulmonary disease (COPD) may experience reduced physical activity and quality of life (QoL) due to decreased pulmonary function. The purpose of this study was to investigate the level of pulmonary function, physical activity, and QoL of COPD patients. Design: Cross-sectional observational study. Methods: This study examined the published data of the Korea National Health and Nutrition Examination Survey in 2015-2019. Among 39,759 subjects who participated for 5 years, data from 151 patients diagnosed with COPD were analyzed separately. For the pulmonary function, the results of forced vital capacity (FVC), forced expiratory volume in 1 second (FEV1), FEV6, forced expiratory flow 25-75%, and peak expiratory flow were observed. Physical activity was identified as frequency and duration. For the QoL, EQ-5D-3L evaluation results were examined, and the frequency and index of the Korean version were investigated. Results: In pulmonary function, all variables were found to be lower than age and weighted matched normal values. COPD patients showed to perform very low levels of high/medium physical activity and sitting time was confirmed to be more than 8 hours a day. In QoL, it was found that the highest reporting rate of some problems was the "pain and discomfort" and "mobility". Conclusions: It was found that COPD patients showed that the prevalence of circulatory disease was relatively high, lowered pulmonary function, and QoL. These can be improved through regular physical activity, and it is thought that this can be achieved through optimization of pulmonary rehabilitation.

The Function of eryBVII Gene is to Epimerize TDP-6-Deoxy-L-threo-D-glycero-4-hexulose in the Biosynthesis of Erythromycin A

  • Kim, Won-Young;Kim, Choon-Keun;Han, Ok-Soo
    • BMB Reports
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    • 제32권1호
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    • pp.72-75
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    • 1999
  • In an effort to understand the function of the eryBVII gene in the erythromycin biosynthetic gene cluster, we overexpressed the eryBVII gene in E. coli and TDP-6-deoxy-L-threo-D-glycero-4-hexulose was used as a substrate of the overexpressed EryBVII enzyme. The enzymatic reaction product was chemically modified by reduction and peracetylation. Structural analysis of the derivatized enzymatic products by GC-Mass Spectrophotometry indicated that TDP-6-deoxy-L-threo-D-glycero-4-hexulose could be converted into its epimer by EryBVII enzyme. Based on this result, TDP-6-deoxy-L-threo-D-glycero-4-hexulose was indeed the substrate of EryBVII enzyme and the function of the eryBVII gene was confirmed.

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CERTAIN MAXIMAL OPERATOR AND ITS WEAK TYPE $L^1$($R^n$)-ESTIMATE

  • Kim, Yong-Cheol
    • 대한수학회논문집
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    • 제16권4호
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    • pp.621-626
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    • 2001
  • Let { $A_{>o}$ t= exp(M log t)} $_{t}$ be a dilation group where M is a real n$\times$n matrix whose eigenvalues has strictly positive real part, and let $\rho$be an $A_{t}$ -homogeneous distance function defined on ( $R^{n}$ ). Suppose that K is a function defined on ( $R^{n}$ ) such that /K(x)/$\leq$ (No Abstract.see full/text) for a decreasing function defined on (t) on R+ satisfying where wo(x)=│log│log (x)ll. For f$\in$ $L_{1}$ ( $R^{n}$ ), define f(x)=sup t>0 Kt*f(x)=t-v K(Al/tx) and v is the trace of M. Then we show that \ulcorner is a bounded operator of $L_{-{1}( $R^{n}$ ) into $L^1$,$\infty$( $R^{n}$).

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BOUNDED FUNCTION ON WHICH INFINITE ITERATIONS OF WEIGHTED BEREZIN TRANSFORM EXIST

  • Jaesung Lee
    • Korean Journal of Mathematics
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    • 제31권3호
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    • pp.305-311
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    • 2023
  • We exhibit some properties of the weighted Berezin transform Tαf on L(Bn) and on L1(Bn). As the main result, we prove that if f ∈ L(Bn) with limk→∞ Tkαf exists, then there exist unique M-harmonic function g and $h{\in}{\bar{(I-T_{\alpha})L^{\infty}(B_n)}}$ such that f = g + h. We also show that of the norm of weighted Berezin operator Tα on L1(Bn, ν) converges to 1 as α tends to infinity, where ν is an ordinary Lebesgue measure.

ON THE SIZE OF THE SET WHERE A MEROMORPHIC FUNCTION IS LARGE

  • Kwon, Ki-Ho
    • Korean Journal of Mathematics
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    • 제18권4호
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    • pp.465-472
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    • 2010
  • In this paper, we investigate the extent of the set on which the modulus of a meromorphic function is lower bounded by a term related to some Nevanlinna Theory functionals. A. I. Shcherba estimate the size of the set on which the modulus of an entire function is lower bounded by 1. Our theorem in this paper shows that the same result holds in the case that the lower bound is replaced by$lT(r,f)$, $0{\leq}l$ < 1, which improves Shcherba's result. We also give a similar estimation for meromorphic functions.