• Title/Summary/Keyword: sub-independence

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NOTE ON STRONG LAW OF LARGE NUMBER UNDER SUB-LINEAR EXPECTATION

  • Hwang, Kyo-Shin
    • East Asian mathematical journal
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    • v.36 no.1
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    • pp.25-34
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    • 2020
  • The classical limit theorems like strong law of large numbers, central limit theorems and law of iterated logarithms are fundamental theories in probability and statistics. These limit theorems are proved under additivity of probabilities and expectations. In this paper, we investigate strong law of large numbers under sub-linear expectation which generalize the classical ones. We give strong law of large numbers under sub-linear expectation with respect to the partial sums and some conditions similar to Petrov's. It is an extension of the classical Chung type strong law of large numbers of Jardas et al.'s result. As an application, we obtain Chung's strong law of large number and Marcinkiewicz's strong law of large number for independent and identically distributed random variables under the sub-linear expectation. Here the sub-linear expectation and its related capacity are not additive.

Correlations among Motor Function, Quality of Life, and Caregiver Depression Levels in Children with Cerebral Palsy

  • Yoo, Ji-Na
    • The Journal of Korean Physical Therapy
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    • v.28 no.6
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    • pp.385-392
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    • 2016
  • Purpose: This study aimed to evaluate the relationships among quality of life, caregiver depression levels, and disease severity, especially motor function, in children with cerebral palsy. Methods: Data were collected through questionnaires using survey and interview from 80 caregivers of children with cerebral palsy. The caregivers' quality of life was measured using medical outcomes study 36-item short form health survey, and level of depression was scored using the beck depression inventory. In addition, children's motor function was evaluated using gross motor function measure-88 and functional independence measure scores. Results: Among 8 domains of medical outcomes study 36-item short form health survey, "physical functioning," "physical role functioning," "mental health," and "bodily pain" domains were significantly correlated to "total" percentage scores of gross motor function measure-88. In addition, "mental health" and "bodily pain" domains were correlated to each sub-dimension, including "lying and rolling," "sitting," "crawling and kneeling," "standing," and "walking, running, and jumping." Similarly, the "running" and "jumping" dimensions including motor function measures correlated with "transfer," "locomotion," and "motor subtotal" of functional independence measure scores. The beck depression inventory scores were negatively correlated to "lying and rolling," "sitting," "crawling and kneeling," and the "total" percentage scores of gross motor function measure-88. The beck depression inventory scores were negatively correlated to "sphincter control," "communication," "social cognition," "cognitive subtotal," and "total" functional independence measure scores. Conclusion: It is necessary to consider the quality of life and emotional problems of caregivers of CP children and support them both physically and psychologically with comprehensive rehabilitation.

The Effects of the Individual, Family and School Related Variables on the Maturity of Career Attitudes in Middle School Students (개인.가족.학교관련 변인이 중학생의 진로태도성숙에 미치는 영향)

  • Lee, Eun-Jeong;Jang, Yoon-Ok
    • Journal of Families and Better Life
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    • v.26 no.5
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    • pp.355-376
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    • 2008
  • The purpose of this study was to investigate the variables that had an effect on the maturity of career attitude in middle school students. Independent variables were categorized into three groups: individual-related variables, family-related variables, and school-related variables. The individual-related variables were gender difference, academic year, academic achievement, and self-efficacy. The family-related variables were socio-economic status of the family, communication about career with parents, parental support, sibling's support, and value orientation of the family. The school-related variables included communication about career with friends, teacher's support, and friend's support. The subjects of this study were 490 students who were selected at random from first, second, and third grade of middle school in Daegu. A questionnaire was used for the survey. It consisted of a career attitude maturity scale, a self-efficacy scale, a communication scale, a value orientation of the family scale, and a social support scale. The data was analyzed by factor analysis, multiple regression analysis, and hierarchical regression analysis. The major findings of this study are summarized as follow: First, among the individual-related variables that had an effect on the maturity of career attitude in middle school students, self-efficacy affected all sub-factors of how mature they were in matters relating to career. Academic achievement affected decisiveness and preparation-- maturity of career attitude subfactors. And gender difference and academic year affected preparation and goal orientation. Second, the results of the family-related variables that had an effect on the maturity of career attitudes in middle school students were that communication about career with parents affected decisiveness, preparation, and confidence-- maturity of career attitude sub-factors, socio-economic status of the family and sibling's support affected confidence. And value orientation of the family affected goal orientation and independence. Third, the results of the school-related variables that had an effect on the maturity of career attitude in middle school students were that communication about career with friends affected preparation-- a maturity of career attitude sub-factor; teacher's support affected decisiveness, preparation, and confidence; and friend's support affected confidence and independence. Fourth, decisiveness, preparation, and confidence among the maturity of career attitude sub-factors were affected the most by individual variables. And self-efficacy was the most significant. Goal orientation and independence were affected the most by family-related variables.

A Study on the Impact of LOGO Programming on Logical Thinking and its Sub-classifications (LOGO 프로그래밍 학습이 논리적 사고와 하위 논리에 미치는 영향)

  • Hyun, Hye-Kyung;Kim, Byung-Soon
    • Journal of Korea Game Society
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    • v.9 no.1
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    • pp.3-10
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    • 2009
  • This paper presents the effects on logical thinking of the Korean LOGO programming used in teaching for the second grade of middle school with regard to cognitive styles and specific sub-classifications of logical thinking. In result, the LOGO programming teaching method significantly affected logical thinking and its sub-classifications.

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Improving the Gumbel analysis by using M-th highest extremes

  • Cook, Nicholas J.
    • Wind and Structures
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    • v.1 no.1
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    • pp.25-42
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    • 1998
  • Improvements to the Gumbel method of extreme value analysis of wind data made over the last two decades are reviewed and illustrated using sample data for Jersey. A new procedure for extending the Gumbel method to include M-th highest annual extremes is shown to be less effective than the standard method, but leads to a method for calibrating peak-over-threshold methods against the standard Gumbel approach. Peak-over-threshold methods that include at least the 3rd highest annual extremes, specifically the modified Jensen and Franck method and the "Method of independent storms" are shown to give the best estimates of extremes from observations.

Four active monomers from Moutan Cortex exert inhibitory effects against oxidative stress by activating Nrf2/Keap1 signaling pathway

  • Zhang, Baoshun;Yu, Deqing;Luo, Nanxuan;Yang, Changqing;Zhu, Yurong
    • The Korean Journal of Physiology and Pharmacology
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    • v.24 no.5
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    • pp.373-384
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    • 2020
  • Paeonol, quercetin, β-sitosterol, and gallic acid extracted from Moutan Cortex had been reported to possess anti-oxidative, anti-inflammatory, and anti-tumor activities. This work aimed to illustrate the potential anti-oxidative mechanism of monomers in human liver hepatocellular carcinoma (HepG2) cells-induced by hydrogen peroxide (H2O2) and to evaluate whether the hepatoprotective effect of monomers was independence or synergy in mice stimulated by carbon tetrachloride (CCl4). Monomers protected against oxidative stress in HepG2 cells in a dose-response manner by inhibiting the generation of reactive oxygen species, increasing total antioxidant capacity, catalase and superoxide dismutase (SOD) activities, and activating the antioxidative pathway of nuclear factor E2-related factor 2/Kelch-like ECH-associated protein 1 (Nrf2/Keap1) signaling pathway. We found that the in vitro antioxidant capacities of paeonol and quercetin were better than those of β-sitosterol and gallic acid. Furthermore, paeonol apparently diminished the levels of alanine transaminase and aspartate aminotransferase, augmented the contents of glutathione and SOD, promoted the expressions of Nrf2 and heme oxygenase-1 proteins in mice stimulated by CCl4. In HepG2 cells, paeonol, quercetin, β-sitosterol, and gallic acid play a defensive role against H2O2-induced oxidative stress through activating Nrf2/Keap1 pathway, indicating that these monomers have anti-oxidative properties. Totally, paeonol and quercetin exerted anti-oxidative and hepatoprotective effects, which is independent rather than synergy.

A Study on Deriving Evaluation Factors for Housing Satisfaction of the Physically Handicapped (신체장애인의 주거만족도 평가 요소 도출에 관한 연구)

  • Park, Mi-Young;Soh, Jun-Yoong
    • Korean Institute of Interior Design Journal
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    • v.25 no.1
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    • pp.201-212
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    • 2016
  • This study is a literature study aimed to derive the evaluation factors for the survey of housing satisfaction of the physically handicapped. To attain the objective, the present study compared the influential factors of housing satisfaction for normal people and those for the physically handicapped found in the precedent researches, and analyzed them to draw out the evaluation factors for housing satisfaction of the physically handicapped. And then it drew out sub-factors and elements for the housing satisfaction of the physically handicapped. The evaluation factors for housing satisfaction of the physically handicapped are divided mainly into physical, social-psychological and economic factors. First, physical factor consists of 'functionality (usability)', 'safety', 'convenience', 'comfort', 'aesthetics', 'accessibility (mobility)', 'identifiability (recognition)'. Of them, 'functionality (usability)' factor consists of 3 sub-factors and 8 elements. 'Safety' was subdivided into securing safety and public order/crime prevention. and structural safety, and 7 elements were drawn out from 'safety'. 'Convenience' is sub-categorized into convenient usage and simple operation, and 9 elements were derived. 'Comfort' was classified into 2 sub-factors and 9 elements. 'Aesthetics' was classified into 2 sub-factors and elements. 'Accessibility (mobility)' was divided into 2 sub-factors and elements. 'Identifiability (recognition)' was classified into 2 sub-factors and 5 elements. Second, social-psychological factor includes 'sociality' and 'independence' factor. One sub-factor and one element were drawn from each of both factors. Third, 'economic factor' consists of 'economy'. One sub-factor and elements were drawn out from the factor. It is expected that the 10 evaluation factors, their sub-factors and elements that have been derived from this study can be used as the basic data and/or reference in designing residential space for the physically handicapped and making policy for it after verifying them in following studies. The present study finds itself significance in that the findings here can ultimately improve the housing welfare and life quality of the physically handicapped.

The Effects of Practical Problem-Based Home Economics Instruction (PPBHEI) on Middle School Students' Creativity: Focusing on the Content on "Clothing Management and Recycling" (실천적 문제 중심 가정과 수업이 중학생의 창의성에 미치는 효과: '의복 관리와 재활용' 내용 요소를 중심으로)

  • Bae, Ja-Young;Shim, Huen-Sup;Chae, Jung-Hyun
    • Human Ecology Research
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    • v.59 no.3
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    • pp.401-418
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    • 2021
  • The purpose of this study was to test the effects of Practical Problem-Based Home Economics Instruction (PPBHEI) on middle school students' creativity, focusing on the content on "clothing management and recycling." This study carried out quasi-experimental research with an independent variable of PPBHEI and a dependent variable of creativity. The experiment was based on a sample of 62 (31 in each group) second grade students in the Cheongju area over four class hours. ANCOVA was performed to examine pre-test and post-test differences between the experimental group and the control group. The results showed that PPBHEI did not improve the level of creativity but improved the level of creative motivation among the sub-elements of creativity (creative thinking, creative tendency, creative motivation). In particular, PPBHEI improved the level of independence in creative tendency, intrinsic motivation, and diligence in creative motivation. From the results of this study, it can be concluded that PPBHEI is effective in improving independence, intrinsic motivation, and diligence in respect of middle school students'creativity.

An advanced single-particle model for C3S hydration - validating the statistical independence of model parameters

  • Biernacki, Joseph J.;Gottapu, Manohar
    • Computers and Concrete
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    • v.15 no.6
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    • pp.989-999
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    • 2015
  • An advanced continuum-based multi-physical single particle model was recently introduce for the hydration of tricalcium silicate ($C_3S$). In this model, the dissolution and the precipitation events are modeled as two different yet simultaneous chemical reactions. Product precipitation involves a nucleation and growth mechanism wherein nucleation is assumed to happen only at the surface of the unreacted core and product growth is characterized via a two-step densification mechanism having rapid growth of a low density initial product followed by slow densification. Although this modeling strategy has been shown to nicely mimic all stages of $C_3S$ hydration - dissolution, dormancy (induction), the onset of rapid hydration, the transition to slow hydration and prolonged reaction - the major criticism is that many adjustable parameters are required. If formulated correctly, however, the model parameters are shown here to be statistically independent and significant.

Femtosecond Photoelectron Imaging of N2 at 410 nm

  • Guo, Wei;Wei, Shanshan;Lu, Xingqiang;Wang, Li
    • Bulletin of the Korean Chemical Society
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    • v.31 no.12
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    • pp.3693-3696
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    • 2010
  • We experimentally measure the kinetic energy and angular distributions of photoelectrons of $N_2$ as a function of 410 nm femtosecond laser intensity by using velocity map imaging technique. The strong-field multiphoton ionization of molecules shares many of the characteristics with those of atoms. Electron kinetic energies are nearly independent of laser intensities. The independence suggests that the electron peaks in the photoelectron spectrum actually result from a two-step process, indicative of the occurrence of real population in the intermediate states. The relative amplitudes of electron peaks indicate that in the two-step process, nonresonant population transfer dominates for low intensities, while resonant population transfer dominates for higher intensities.