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Kato's Inequalities for Degenerate Quasilinear Elliptic Operators

  • Horiuchi, Toshio
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.15-24
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    • 2008
  • Let $N{\geq}1$ and p > 1. Let ${\Omega}$ be a domain of $\mathbb{R}^N$. In this article we shall establish Kato's inequalities for quasilinear degenerate elliptic operators of the form $A_pu$ = divA(x,$\nabla$u) for $u{\in}K_p({\Omega})$, ), where $K_p({\Omega})$ is an admissible class and $A(x,\xi)\;:\;{\Omega}{\times}\mathbb{R}^N{\rightarrow}\mathbb{R}^N$ is a mapping satisfying some structural conditions. If p = 2 for example, then we have $K_2({\Omega})\;= \;\{u\;{\in}\;L_{loc}^1({\Omega})\;:\;\partial_ju,\;\partial_{j,k}^2u\;{\in}\;L_{loc}^1({\Omega})\;for\;j,k\;=\;1,2,{\cdots},N\}$. Then we shall prove that $A_p{\mid}u{\mid}\;\geq$ (sgn u) $A_pu$ and $A_pu^+\;\geq\;(sgn^+u)^{p-1}\;A_pu$ in D'(${\Omega}$) with $u\;\in\;K_p({\Omega})$. These inequalities are called Kato's inequalities provided that p = 2. The class of operators $A_p$ contains the so-called p-harmonic operators $L_p\;=\;div(\mid{{\nabla}u{\mid}^{p-2}{\nabla}u)$ for $A(x,\xi)={\mid}\xi{\mid}^{p-2}\xi$.

The Effects of Diet Methods on Blood Lipid Profiles and Metabolic Risk Factors in Obese Female College Students (다이어트 방법이 비만여대생들의 혈중지질성분 및 대사성위험요인에 미치는 영향)

  • Woo, Jinhee;Park, Sungchul
    • Journal of the Korean Applied Science and Technology
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    • v.35 no.4
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    • pp.1145-1155
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    • 2018
  • The purpose of this study was to investigate the effect of dietary restriction(DG), aerobic exercise(EG), dietary restriction with aerobic exercise(DEG) on weight, improvement of obesity, blood lipid profiles and metabolic risk factors of obese female college students. Experiments was conducted 5 times a week for 8 weeks. DG spent 300kcal/day, and EG used 300kcal/day to run, DEG each consumed 150kcal/day limits. As s result, in case of body composition, weight(p<.011) and BMI(p<.008) were decreased in DG group, and weight(p<.044, p<.017), body fat(p<.047, p<.018), BMI(p<.03, p<.008), body fat%(p<.036, p<.015) and WHR(p<.049, p<.027) were decreased in EG and DEG groups. In case of blood lipid profiles's change, there are some differences on TC(p<.006), TG(p<.047) according to the time. In DG:HDL-C(p<.028), in EG:TG(p<.038), in DEG:TC(p<.014), LDL-C(p<.007) have decreased. In case of metabolic risk factor's change, there are some differences on FBG(p<.001), insulin(p<.004), HOMA-IR(p<.001), leptin(p<.000), adiponectin(p<.038), resistin(p<.010) according to time. In DG:HOMA-IR(p<.035) and leptin(p<.007), EG:FBG(p<.043) and leptin(p<.003), DEG:FBG(p<.014), insulin(p<.005), HOMA-IR(p<.005), leptin(p<.016), and resistin(p<.040) have decreased. In conclusion, combined treatment of eating restriction with aerobic exercise was the most effective way to improvement of weight, blood lipid profiles and metabolic risk factors in obese female college students rather than respectively alone treatment.

Construction of Pseudoalteromonas - Escherichia coli shuttle vector based on a small plasmid from the marine organism Pseudoalteromonas (극지해양 Pseudoalteromonas 유래의 소형 플라스미드에 기반한 Pseudoalteromonas - Escherichia coli 셔틀벡터 제작)

  • Kim, Dockyu;Park, Ha Ju;Park, Hyun
    • Korean Journal of Microbiology
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    • v.52 no.1
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    • pp.110-115
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    • 2016
  • A small plasmid (pDK4) from the Antarctic marine organism Pseudoalteromonas sp. PAMC 21150, was purified, sequenced and analyzed. pDK4 was determined to be 3,480 bp in length with a G+C content of 41.64% and contains three open reading frames encoding a replication initiation protein (RepA), a conjugative mobilization protein (Mob) and a hypothetical protein. PCR-amplified pDK4 was cloned in high-copy pUC19 to yield the fusion vector pDOC153. The chloramphenicol resistance gene was inserted into pDOC153 to give an ampicillin and chloramphenicol-resistant, Pseudoalteromonas - Escherichia coli shuttle vector (7,216 bp; pDOC155). The TonB-dependent receptor (chi22718_IV ) and exochitinase (chi22718_III ) genes from Arctic marine P. issachenkonii PAMC 22718 were cloned into pDOC155 to produce pDOC158 and pDOC165, respectively. Both vector derivatives were transferred into plasmid-free Pseudoalteromonas sp. PAMC 22137 by the triparental mating method. PCR experiments showed that the genes were stably maintained both in Pseudoalteromonas sp. PAMC 22137 and E. coli $DH5{\alpha}$ cells, indicating the potential use of pDOC155 as a new gene transfer system into marine Pseudoalteromonas spp.

Aerodynamic Characteristics of Korean Bilabial Stop Consonant as a Function of Phonemic Position in a Syllable (음절내 음소 출현 위치에 따른 한국어 양순 파열음의 공기역학적인 특징)

  • Park, Sang-Hee;Jeong, Haeng-Im;Jeong, Ok-Ran;Seok, Dong-Il
    • Speech Sciences
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    • v.9 no.4
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    • pp.59-75
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    • 2002
  • Aerodynamic analysis study was performed on 14 normal subjects (2 males, 12 females) with nonsense syllables composed of Korean bilabial stops (/p, p', $p^{h}$) and their preceding and/or following vowels, /i, a, u/. That is, [pi, p'i, $p^{h}i$, pa, p'a, $p^{h}a$, pu, p'u, $p^{h}u$, ipi, apa, upu, $ip^{h}i$, $ap^{h}a$, $up^{h}u$, ip'i, ap'a, up'u]. All measures were taken and analysed using Aerophone II voice function analyzer and included peak air pressure, mean air pressure, maximum flow rate, volume, mean SPL and phonatory SPL. A t-test and one-way ANOVA were employed for analysis. A post-hoc analysis was performed with Scheffe and Bonferroni. The results were as follows: First, MSPL. and MAP of /p, p', $p^{h}$/ were significantly different in different positions (initial and medial position). In addition, different vowel environment also produced significantly different aerodynamic characteristics those consonants. Especially the lax consonant /p/ was significantly different /i, a, u/ vowel environments. The tense consonant /p'/ was significantly different only /i/ vowel environment.

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DRM Enabled P2P Model for Contents Protection (콘텐츠 보호를 위한 DRM이 적용된 P2P 모델)

  • Sung Jae-Youn;Jeong Yeon-Jeong;Yoon Ki-Song
    • The KIPS Transactions:PartC
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    • v.13C no.4 s.107
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    • pp.389-396
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    • 2006
  • P2P(Peer To Peer) system, a most attractive file sharing system, is the largest channel of contents distribution and it takes 50% of network traffic. But P2P systems are infamous for used to illegal contents distribution channel not only in music industry, but also in movie industry. But, DRM(Digital Right Management) enabled P2P models are not suggested until now that interrupting illegal contents distribution and keeping advantage of P2P. So in this paper, we suggest a DRM enabled P2P model that can support distributed processing ability and high scalability with no modification in exist P2P model or architecture.

Induction of Electrophilic Metabolites of PAH by Placental Microsomes in Mice (쥐의 태반조직에 의한 PAH 화합물의 대사활성화)

  • 김선희;조철오;신대현;박균하
    • The Korean Journal of Zoology
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    • v.31 no.2
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    • pp.142-146
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    • 1988
  • Metabolism of benzo(a)pyrene, the most thoroughly studied PAH, was studied in mouse placental microsomes incubated with $^3$H-labeled B(a)P. B(a)P metabolites were separated using HPLC fitted with a C18- $\mu$ Bondapak column. The single major metabolite by mouse placental microsomes induced by B(a)P was 7, 8-diol B(a)P, while 4, 5-diol B(a)P, 3-OH and quinones constituted minor metabolites. Treatment with 3-methyl-cholanthrene to mice resulted in indudion of hydroxy B(a)P and quinone compounds. Phenobarbital treated mouse placental microsomes also showed elevated level of B(a)P metabolism with 7, 8-diol B(a)P as a major metabolite.

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A Study of the Milking and Reproduction Performances of Grazing Indigenous Cattle at a Semi Urban Area of Bangladesh

  • Islam, S.S.;Ashraf, A.;Islam, A.B.M.M.
    • Asian-Australasian Journal of Animal Sciences
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    • v.13 no.6
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    • pp.837-841
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    • 2000
  • The study was conducted at semi urban area in Bangladesh. It was based on a field survey by a prepared questionnaire. Various milking and reproduction performance were analyzed. The effects of grazing hour were found significant on age at weaning (AW) (p<0.001), age at first heat (AFH) (p<0.001), age at first conception (AF conception) (p<0.001), age at first calving (AF calving) (p<0.001), post partum heat period (PPHP) (p<0.001), calving interval (CI) (p<0.001), lactation length (LL) (p<0.001) and total lactational production (TLP) (p<0.001). The effects of concentrate feed were significant on AW (p<0.01), AFH (p<0.01), AF conception (p<0.001), AF calving (p<0.001), PPHP (p<0.001) CI (p<0.001), LL (p<0.001) and TLP (p<0.001). The effects of management level were significant on AW (p<0.001), PPHP (p<0.01), CI (p<0.001), daily milk yield (DMY) (p<0.05) and TLP (p<0.001). The overall mean values were $251.88{\pm}2.97$ days for AW, $37.29{\pm}0.33$ months for AFH, $38.43{\pm}0.34$ months for AF conception, $47.62{\pm}0.34$ months for AF calving, $1.30{\pm}0.02$ number of services per conception (NSPC), $191.57{\pm}3.92$ days for PPHP, $17.02{\pm}0.15$ months for CI, $2.49{\pm}0.06kg$ for DMY, $247.23{\pm}3.51$ days for LL and $590.40{\pm}15.00kg$ for TLP.

Involvement of Putative Heat Shock Element in Transcriptional Regulation of $p21^{WAF1/ClP1/SDl1}$ by Heat Shock

  • Woo, Sang-Hyeok;Oh, Su-Young;Han, Song-Iy;Choi, Yung-Hyun;Kang, Kwang-Il;Yoo, Mi-Ae;Kim, Han-Do;Kang, Ho-Sung
    • Animal cells and systems
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    • v.4 no.2
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    • pp.181-186
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    • 2000
  • The expression of $p21^{WAF1/ClP1/SDl1}$, one of the cyclin-dependent kinase inhibitors, is regulated by a variety of transcription factors including p53 and STAT. Heat shock induces the expression of p21 in a temperature- and time-dependent manner. Although the p21 induction by heat shock has been reported to be controlled by p53, a p53-independent mechanism Is also involved. To understand the p53-independent regulation of heat shock-induced p21 expression, we searched the promoter region of p21 gene and found one or two heat shock element (HSE)-like sequences in human, rat, and mouse. Electromobility shift assay (EMSA) showed that heat shock factor (HSF) could bind to these HSE-like sequences In response to heat shock, even though to a lesser extent than to HSE. In addition, p21 promoter deletion analysis revealed that heat shock activated a p21 deletion promoter construct containing the HSE-like sequences but lacking p53-binding sites, but not a promoter construct containing neither HSE-like sequences nor the p53-responsive element. Furthermore, the p21 induction by heat shook was significantly inhibited in confluent cells in which heat shock-induced HSF activation was reduced. These results suggest that the transcriptional regulation of p21 by heat shock may be mediated through activation and binding to HSE-like sequences of HSF.

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A Study on College Students' Awareness and Life Pattern on Well-being (대학생들의 웰빙에 대한 의식과 생활 습관에 관한 연구)

  • Myung, Choon-Ok;Park, Young-Sim;Nam, Hae-Won;Lee, Ki-Wan
    • Journal of the East Asian Society of Dietary Life
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    • v.17 no.1
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    • pp.27-42
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    • 2007
  • The purpose of this study is to investigate the importance of well-being related to lifestyle choices such as food habits, food choices, life pattern, etc. The survey was conducted among college students using a questionnaire and a 5-point Likert score in Seoul City and Kyunggido Province during September 2005. The responses of 968 college students were analyzed by the SPSS program. The results were as follows. Most of the subjects were female(76.2%), and lived with their parents (85.6%). The average score of 'food habits', 'choosing food materials', 'purchasing' and 'life pattern' were $2.71{\pm}1.22,\;2.86{\pm}1.28,\;2.41{\pm}1.21,\;and\;2.97{\pm}1.31$ respectively in males and $3.01{\pm}1.20,\;3.00{\pm}1.32,\;2.55{\pm}1.20,and\;2.68{\pm}1.40$ in females, respectively. In regard to 'food habits', the scores were significantly affected by gender(p<0.001), smoking(p<0.05), alcohol consumption(p<0.05), exercise(p<0.001), weight satisfaction(p<0.001), method of weight control(p<0.001), use of nutritional supplement(p<0.05), attempts at weight control(p<0.001), regularity of breakfast(p<0.001), level of interest in well-being(p<0.001), and whether the individual tried a well-being item(p<0.001). In regarding to 'choosing food materials' the scores were significantly affected by gender(p<0.001), smoking(p<0.05), exercise(p<0.001), weight satisfaction(p<0.05), method of weight control(p<0.05), use of nutritional supplement(p<0.05), attempts at weight control(p<0.001), regularity of breakfast(p<0.001), level of interest in well-being(p<0.001) ), and whether the individual tried a well-being item(p<0.001). Out of the factors affecting 'purchasing', the association with BMI was remarkable. Students who were overweight, obese or underweight showed higher average scores than students of normal weight. The primary concerns and trial of well-being of college students were food and exercise. Therefore, the purchase of well-being goods is related to their weight control in college students. In regard to 'life pattern' the scores were significantly affected by exercise(p<0.01), use of computer(p<0.001), BMI(p<0.001), weight control(p<0.001), use of nutritional supplement(p<0.05), regularity of breakfast(p<0.001), level of interest in wellbeing(p<0.001), whether the individual tried a well-being item(p<0.001), and having taken lecture on well-being(p<0.05). Therefore nutrition education is needed for healthy eating habits of college students and it is necessary to develop a series of lectures to teach them about diet and exercise programs.

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Lessons From Healthcare Providers' Attitudes Toward Pay-for-performance: What Should Purchasers Consider in Designing and Implementing a Successful Program?

  • Lee, Jin-Yong;Lee, Sang-Il;Jo, Min-Woo
    • Journal of Preventive Medicine and Public Health
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    • v.45 no.3
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    • pp.137-147
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    • 2012
  • We conducted a systematic review to summarize providers' attitudes toward pay-for-performance (P4P), focusing on their general attitudes, the effects of P4P, their favorable design and implementation methods, and concerns. An electronic search was performed in PubMed and Scopus using selected keywords including P4P. Two reviewers screened target articles using titles and abstract review and then read the full version of the screened articles for the final selections. In addition, one reference of screened articles and one unpublished report were also included. Therefore, 14 articles were included in this study. Healthcare providers' attitudes on P4P were summarized in two ways. First, we gathered their general attitudes and opinions regarding the effects of P4P. Second, we rearranged their opinions regarding desirable P4P design and implementation methods, as well as their concerns. This study showed the possibility that some healthcare providers still have a low level of awareness about P4P and might prefer voluntary participation in P4P. In addition, they felt that adequate quality indicators and additional support for implementation of P4P would be needed. Most healthcare providers also had serious concerns that P4P would induce unintended consequences. In order to conduct successful implementation of P4P, purchaser should make more efforts such as increasing providers' level of awareness about P4P, providing technical and educational support, reducing their burden, developing a cooperative relationship with providers, developing more accurate quality measures, and minimizing the unintended consequences.