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RIEMANN-LIOUVILLE FRACTIONAL FUNDAMENTAL THEOREM OF CALCULUS AND RIEMANN-LIOUVILLE FRACTIONAL POLYA TYPE INTEGRAL INEQUALITY AND ITS EXTENSION TO CHOQUET INTEGRAL SETTING

  • Anastassiou, George A.
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1423-1433
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    • 2019
  • Here we present the right and left Riemann-Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann-Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann-Liouville fractional derivatives. The amazing fact here is that we do not need any boundary conditions as the classical Polya integral inequality requires. We extend our Polya inequality to Choquet integral setting.

CLASSIFICATIONS OF ROTATION SURFACES IN PSEUDO-EUCLIDEAN SPACE

  • Kim, Young-Ho;Yoon, Dae-Won
    • Journal of the Korean Mathematical Society
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    • v.41 no.2
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    • pp.379-396
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    • 2004
  • In this article, we study rotation surfaces in the 4-dimensional pseudo-Euclidean space E$_2$$^4$. Also, we obtain the complete classification theorems for the flat rotation surfaces with finite type Gauss map, pointwise 1-type Gauss map and an equation in terms of the mean curvature vector. In fact, we characterize the flat rotation surfaces of finite type immersion with the Gauss map and the mean curvature vector field, namely the Gauss map of finite type, pointwise 1-type Gauss map and some algebraic equations in terms of the Gauss map and the mean curvature vector field related to the Laplacian of the surfaces with respect to the induced metric.

Extended Type of Symptom Discrimination for Triple Energizers (三焦) in Song (宋), Jin (金) and Yuan (元) Dynasty (송(宋)·금(金)·원(元) 시대 광의의 삼초변증(三焦辨證))

  • Jo, Hak-Jun
    • The Journal of Korean Medical History
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    • v.28 no.1
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    • pp.61-79
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    • 2015
  • Objectives : In order to prove the extended type of symptom discrimination for triple energizers in Song, Jin and Yuan Dynasty. Methods : Extract the topic-related contents from the books, with key words, triple energizers. After arraying them from this sources according to time order, analyze the data. Results : Analyzing its history from symptom, prescription, and discrimination proved the fact that the extended type of symptom discrimination for triple energizers had been developed continually, and assured that it did not play an important role in forming the narrow type of its symptom discrimination for Wen Bing (溫病) in Qing (淸) Dynasty, but also had been advanced separately from its type for Wen Bing. Conclusions : Symptom discrimination for triple energizers in Song, Jin and Yuan Dynasty gradually went far to become its extended type which widely used for Za Bing (雜病), Wen Bing, and diseases for pediatrics and dermatology.

Validation of Pediatric Functional Assessment of Cancer Therapy Questionnaire (Version 2.0) in Brain Tumor Survivor Aged 13 Years and Older (Parent Form) (PedsFACT-BrS Parent of Adolescent)

  • Yoo, Hee-Jung;Kim, Dong-Seok;Lai, Jin-Shei;Cella, David;Shin, Hee-Young;Ra, Young-Shin
    • Journal of Korean Neurosurgical Society
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    • v.49 no.3
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    • pp.147-152
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    • 2011
  • Objective : The aim of this study was to evaluate the reliability and validity of the Pediatric Functional Assessment of Cancer Therapy Questionnaire Brain Tumor Survivor (version 2.0) Aged 13 years and older (Parent Form) (pedsFACT-BrS parent of adolescent). Methods : The pedsFACT-BrS parent of adolescent was translated and cross-culturally adapted into Korean, following standard Functional Assessment of Chronic Illness Therapy (FACIT) methodology. The psychometric properties of the pedsFACT-BrS parent of adolescent were evaluated in 170 brain tumor patient's mothers (mean age=43.38 years). Pretesting was performed in 30 mothers, and the results indicated good symptom coverage and overall comprehensibility. The participants also completed the Child Health Questionnaire Parent Form 50 (CHQ-PF-50), Neuroticism in Eysenck Personality Questionnaire, and Karnofsky score. Results : In validating the pedsFACT-BrS parent of adolescent, we found high internal consistency, with Cronbach's ${\alpha}$ coefficients ranging from 0.76 to 0.94. The assessment of test-retest reliability using intraclass correlation coefficient revealed satisfactory values with ICCs ranging from 0.84 to 0.93. The pedsFACT-BrS for parent of adolescent also demonstrated good convergent and divergent validities when correlated with the Child Health Questionnaire Parent Form 50 (CHQ-PF-50) and the Neuroticism in Eysenck Personality Questionnaire. The pedsFACT-BrS parent of adolescent showed good clinical validity, and effectively differentiated between clinically distinct patient groups according to the type of treatment, tumor location, shunt, and Karnofsky score of parent proxy report. Conclusion : We confirmed that this reliable and valid instrument can be used to properly evaluate the quality of life of Korean adolescent brain tumor patients by their parents' proxy report.

GENERALIZED SOBOLEV SPACES OF EXPONENTIAL TYPE

  • Lee, Sungjin
    • Korean Journal of Mathematics
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    • v.8 no.1
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    • pp.73-86
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    • 2000
  • We study the Sobolev spaces to the generalized Sobolev spaces $H^s_{\mathcal{G}}$ of exponential type based on the Silva space $\mathcal{G}$ and investigate its properties such as imbedding theorem and structure theorem. In fact, the imbedding theorem says that for $s$ > 0 $u{\in}H^s_{\mathcal{G}}$ can be analytically continued to the set {$z{\in}\mathbb{C}^n{\mid}{\mid}Im\;z{\mid}$ < $s$}. Also, the structure theorem means that for $s$ > 0 $u{\in}H^{-s}_{\mathcal{G}}$ is of the form $$u={\sum_{\alpha}\frac{s^{{|\alpha|}}}{{\alpha}!}D^{\alpha}g{\alpha}$$ where $g{\alpha}$'s are square integrable functions for ${\alpha}{\in}\mathbb{N}^n_0$. Moreover, we introduce a classes of symbols of exponential type and its associated pseudo-differential operators of exponential type, which naturally act on the generalized Sobolev spaces of exponential type. Finally, a generalized Bessel potential is defined and its properties are investigated.

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Analysis of Conflict Cases in Urban Regeneration Projects (도시재생사업에서의 갈등사례 유형 분석)

  • Lee, Seul-Ki;Kwon, Hea-Rim;Yu, Jung-Ho
    • Korean Journal of Construction Engineering and Management
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    • v.10 no.6
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    • pp.78-87
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    • 2009
  • Because of a wide range of performance and diversity of project and uncertainty caused by complexity and a number of stakeholder, conflict occur necessarily in Urban generation including large-scale and many project which do the same time, for long time. so active conflict management which recognized risk before the fact and deal with conflict is necessarily needed. Therefore, This study is typing conflict cases and indicating critical conflict type through analysis on conflict case about process and stakeholder of urban generation to offer information which is referred to finding a solution when conflict occur by forecasting conflict that can occur before the fact.

An Analysis of Disputants' Environmental Conflict Frames Relating to Ohio Wetland Conversion Disputes (소택지 토지이용 변경에 관련된 분쟁론자의 환경 프레임 분석에 관 하여)

  • 이기철
    • Journal of the Korean Institute of Landscape Architecture
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    • v.21 no.4
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    • pp.1-14
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    • 1994
  • This study attempted to characterize conflict frames of environmental disputes by examining twelve actual wetland permitting cases in Ohio. The participants consisted of such interested parties as applicants, technical, legal or environmental consultants to applicants, U.S.Army Corps of Engineers, U.S.Environmental Protection Agency, U.S.Fish and Wildlife Service, Ohio Environmental Protection Agency, Ohio Department of Natural Resoures, local agencies, the environmental community, and citizens who have been involved of the permitting process. The purpose of this study is to provide empirical evidence of how different perceptual frames existed in the wetland conversion disputes, and to understand different environmental conflict frames that influenced disputants' perception relating to dispute resolution. The vehicles used to collect the necessary data were three survey instruments : Open-ended questionnaires, Likert-type questionnaires, and ranking questionnaires. Forty-three subjects were contacted for open fact-to-fact interviews, 53 subject for Kikert-type mail survey and 54 subjects for ranking instrument mail survey. Analyses of survey results revealed that six different types of frames were clearly identified from all the parties involved in Ohio wetland conversion disputes. It revealed that disputants had statistically significantly different levels of perception to the frames based on the participants' role (i.e. regulator, applicant, commentor), the number of involved parties in the process, processing time and the issuance of a permit. The findings also revealed that information sharing among disputants played a significant role in the process of froming and reframing. The alternative idea, building cooperation through negotiation, was proposed to provide new insight into the resolution of the dispute.

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Spatial Characteristics and Facility Operation by the Type of Management of Multipurpose Senior Center - Focused on the Youngnam Metropolitan Areas - (노인복지회관의 운영형태별 공간특성과 시설운영 비교분석 - 영남권 광역시 중심으로 -)

  • Choi Jun-Ho;Seo Ji-Eun;Lee Jeong-Ho
    • Journal of the Korean housing association
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    • v.16 no.6
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    • pp.83-92
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    • 2005
  • The purpose of this study was to analyze characteristics such as spatial composition, areas, location of functional unit space and comparing the type and the number of operating programs by type of managements of multipurpose senior center in Youngnam metro area. first, the consignation management facilities had functional unit space of 152 things and the direct management facilities had 115 things. When comparing average areas composition ratio, direct management is public welfare, social education, public part, medical and rehabilitation order and consignation management is public part, social education, public welfare and rest part order. Second, medical part must be located around the first floor or the elevator, because many people can frequently use this area at the same time. Third, as a result of analysis of management programs indicated that the total number of programs is as a whole 74 things a range of $min12\~max20$ in the each direct management facilities and 111 things a range of $min20\~max24$ in the each in the each consignation management facilities. This fact shows that consignation management provided many people with more various programs than direct management. Finally, the number of staff in the direct management is less than consignation management. When comparing programs per staff and space, the direct and consignation management each appeared (2.74, 0.64) and (1.35, 0.73). This fact implied that the consignation management was more specialized than direct management in the service and function.

A Study on Sa(紗) and Ra(羅) at the End of the Joseon Period (조선 말기 사ㆍ라에 관한 연구)

  • 이은진;조효숙
    • Journal of the Korean Society of Costume
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    • v.53 no.8
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    • pp.121-135
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    • 2003
  • The purpose of this study is to suggest a theoretical basis to name Sa(紗) and Ra(羅) remains properly by comparing and analyzing the name, usage, value, length and width of Sa(紗) and Ra(羅) recorded on documents made at the end period of Joseon. The features of Sa(紗) and Ra(羅) at the end of the Joseon Period are as follows. 1. The kinds of Sa(紗) are about 80, those of Ra(羅) are about 12, and those of Sa(紗) are significantly more than those of Ra(羅). In regard to the aspect of patterns, there were about 20 types of patterns in the case of Sa(紗), but no specific pattern for Ra(羅). 2. Some newly revealed patterns in the case of Sa (紗) are as follows. Baek -bok-mun(백복문) was a pattern full of ‘bats(박쥐[복])’, and Baek-jeop-mun(백접문) was a pattern full of ‘butterflies(나비[蝶])’ Jeop-mun(접문) was classified into ‘butterfly patterns(나비문[접문])’ and ‘traditional window flame patterns(창살문[접문])‘. 3. When considering the usages of Sa(紗) and Ra(羅), Sa(紗) was used for various detailed purposes according to their kinds and patterns, but Ra(羅) was mostly used for underwear. The most commonly used Sa(紗) was the Gab-sa type(甲紗類). On the contrary, the Go-sa type(庫紗類) was significantly less used than the Gab-sa type(甲紗類). However, it must have been of relatively high quality Sa(紗), shown by the fact that it was used for outer garments. In addition, the Gung-sa type(宮紗類) was the best quality Sa(紗), shown by the fact that it was used for court dress and official uniforms in the royal court. 4. Sa(紗) and Ra(羅) whose features have been examined we Gapsa(甲紗), Sun-in (純仁), Gosa(庫紗), Gwansa(官紗), Jusa(走紗), Eunjosa(은조사), Gwangsa(廣紗), Waesa(倭紗), Dorisa(도리사), Gong-yangsa(공양사), Rasa(羅紗), Danghangra(唐亢羅), Yanghangra(洋亢羅), Yunjura(윤주라), Eunra(銀羅), Jeohangra(저항라), Chura(秋羅). 5. Regarding the values of Sa(紗) and Ra(羅), they were high quality textures and its length and width of 1 Pil(疋), a roll of cloth, were not subdivided in detail such as in the case of plain weaved silks(平絹).

Effects of High-Fidelity Simulation-Based Training of Nursing Students according to their Learning Styles (일 대학 간호학생의 학습유형별 시뮬레이션 교육 효과)

  • Kim, Soon-Ok;Pak, So-Young
    • The Journal of the Korea Contents Association
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    • v.13 no.11
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    • pp.1046-1057
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    • 2013
  • The purpose of this study was to establish basic materials for providing a learning type specific simulation education through identifying the differences in self-efficacy, problem solving ability and clinical competence before and after a learning type specific simulation education, with 145 3rd-year nursing students at a university as the study subjects. This study is a single-group, before-and-after designed experiment for verifying the learning type specific effects after simulation education. As a result of the experiment on the learning types of nursing students, the adaptors were seen to be the most, and the after-simulation education problem solving ability (F=5.015, p = 0.02) and the after-education clinical competence (F=3.288, p = 0.02) showed statistically significant differences. From which, based on the fact that the convergers were seen to be significantly higher than the adaptors and the divergers were higher than the adaptors in regard to problem solving ability, and the fact that the convergers were seen to be significantly higher than the adaptors in regard to clinical competence, it was possible to ascertain that there are differences in the effects of learning type specific simulation education. However, self-efficacy did not show any statistically significant differences. Based on these results, it can be expected that a simulation education by learning types can be provided.