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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.

A Study for Parking Characteristic of A Large Scale Event (대규모행사시 주차장 이용특성 분석)

  • Lee, Young-Woo
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.3
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    • pp.191-197
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    • 2006
  • Prepare need in each branch for a large scale event. especially prepare for transportation problem is very important. most research for until at now parking prepare according city management however, parking prepare for large event is a necessity which it will parking characteristic. accordingly this research is conducted study for parking prepare subject of large event. this study result, vehicle demand for parking by stadium have many but vehicle demand for parking off stadium have few. accordingly large parking supply is ineffective. shuttle bus service in principal position of city is effective. study result showed that it included 85% parking at 6~7hour before large event start time. accordingly disposition time of parking manager is desirable 6~7hour before large event start time.

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Comparison of Shear Strengths of Crushed Rock Determined by Large Triaxial Test and Direct Shear Test (대형삼축압축시험 및 대형직접전단시험에 의한 사석재료의 전단강도 평가)

  • 신동훈;안태봉;이경필;이한출
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.10a
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    • pp.259-264
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    • 2002
  • In this study the shear strengths of a poorly grad ed rock material(d/sub max/≤50.8mm, C/sub u/=1.86) were determined by large direct shear test and large triaxial test. The obtained stress-strain curves by the above large shear tests for the rock materials are similar to the loose sand's or normally consolidated clay's curve, in which the peak strength does not appear obviously. And for the uniformly graded rock material the shear strength by large direct shear test may be overestimated around 1.54∼1.70 times that of large triaxial test.

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Principal Items of Construction Management for Developing Construction Guide of Large Spatial Roof Construction (대공간 지붕공사 시공지침서 개발을 위한 중점관리항목 도출)

  • Cha, Min-Su;Lee, Myung-Do
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2017.11a
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    • pp.197-198
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    • 2017
  • Large spatial construction needs to consider various construction management factors through the construction guide, including high-tech roofing works for creating large space without columns and erecting large spatial structure. However, the domestic large spatial construction relies on overseas construction technologies due to the lack of construction guide of large spatial construction and experience in similar type of project. To improve the problem, we deduced principal items of construction management considering characteristics of large spatial construction as a preliminary study for developing a construction guide.

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The Effect of Having Usual Source of Care on the Choice among Different Types of Medical Facilities (상용치료원 보유가 의료기관 종별 선택에 미치는 영향: 대형병원 환자집중현상 완화방안을 중심으로)

  • Kim, Doo Ri
    • Health Policy and Management
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    • v.26 no.3
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    • pp.195-206
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    • 2016
  • Background: Concentration of patients to large hospitals is serious problem in Korea. The purpose of this paper is to propose appropriate policy direction to relieve concentration of patients to large hospitals. It is focused on evaluation of the possibility of family doctor system as a policy alternative to relieve concentration of patients to large hospital by empirically analyzing the effect of usual source of care (USC) on large hospitals medical care use. Methods: Korea Health Panel conducted 2009, 2012, 2013 by KIHASA (Korea Institute for Health and Social Affairs) and NHIS (National Health Insurance Service) was used for analysis. For dependent variables, first, the ratio of the amount of using large hospital to total amount of using medical care, and second, the amount of using large hospital are estimated. Independent variables are having an USC and type of USC. Panel analysis was done with above variables. Results: Main results are as follows. First, having an USC increases using large hospital. Second, having a domestic clinic type USC decreases using large hospital and ratio of using large hospital. Third, the effect of domestic clinic type USC is greater in older group, less income group, worse health status group, not having private insurance group, and having chronic disease group. Conclusion: These results show that family doctor program can be a policy alternative to relieve concentration of patients to large hospital. Nonetheless, primary care system in Korea is unsatisfied. It is recommended to reinforce primary care system and family doctor system to relieve concentration of patients to large hospitals.

Comparison of Shear Strength of Coarse Materials Measured in Large Direct Shear and Large Triaxial Shear Tests (대형 직접전단시험과 대형 삼축압축시험에 의한 조립재료의 전단강도 비교)

  • Seo, Minwoo;Kim, Bumjoo;Ha, Iksoo
    • Journal of the Korean GEO-environmental Society
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    • v.10 no.1
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    • pp.25-34
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    • 2009
  • Since the particle sizes of the coarse materials used in dam or harbor constructions are much larger than those of typical soils, it is desirable that large shear testing apparatuses are used when performing shear tests on the coarse materials to obtain as accurate results as possible. Two large-scale shear testing apparatuses, large direct shear testing apparatus and large triaxial shear testing apparatus, are commonly used. Currently in Korea, however, there have not been many cases in which shear tests were done using the large apparatus due to mainly difficulties in manufacturing, diffusing, and operating them. In present study, both large direct shear tests and large triaxial shear tests were performed on the coarse materials, which are used as dam fill materials, for 6 test cases in which particle sizes, specimen sizes, vertical pressure (confining pressure) conditions were little different, and then, the shear strength characteristics of the materials were compared with the two different shear tests. The test results showed that, by the Mohr-Coulomb failure criterion, overall the shear strength obtained by the large direct shear tests was larger than that by the large triaxial shear tests. Moreover, the shear strength under the normal stress of 1,000 kPa was about 10 to 70% larger for the large direct shear tests than for the large triaxial shear tests, revealing the larger differences in the coarse materials, compared to typical soils.

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Characteristics of large patch occurrence at warm-season turfgrass in golf course (골프장의 난지형 잔디에 발생하는 Large patch의 발병 특성)

  • Woo, Hyun-Nyung;Kim, Gi-Rim;Kim, Hye-JIn;Chung, Doug-Young
    • Korean Journal of Agricultural Science
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    • v.38 no.2
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    • pp.243-248
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    • 2011
  • This investigation was conducted to develop an integrated disease management system against large patch disease occurred in a golf course. Large patch, brown patch, and Rhizoctonia blight sometimes are used interchangeably by turfgrass managers and researchers, Large patch disease of zoysiagrass is caused by a soilborne fungus called Rhizoctonia solani. Although this fungus is very similar to the one that causes brown patch disease of cool-season turfgrasses in mid-summer. Large patch development is favored by high thatch and soil moisture. Avoid overwatering the turfgrass, especially in the fall or early spring. Poorly-drained areas are very susceptible to injury from large patch and should be reconstructed (draining tiles, etc) to avoid soil saturation. However, control of yellow patch with fungicides is normally not recommended because the disease has only cosmetic effects and symptoms are usually very short-lived. Therefore, we reviewed the symptom of large patch to look for control method by soil management method.

Vibration Reduction of a Large-sized Bus Roof through Change of the Factors Characteristics (인자 특성 변화를 통한 대형버스의 루프 진동 저감)

  • Kuk, Jong-Young;Park, Jong-Chan;Lim, Jung-Hwan
    • Transactions of the Korean Society of Automotive Engineers
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    • v.18 no.6
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    • pp.138-144
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    • 2010
  • If the vibration is occurred in a large-sized bus roof, it makes people annoying and complaining the quality of a large-sized bus. So in design stage, it must be considered. To assess vibration at the roof which is equipped with air conditioner in design stage, finite element model is constructed. Computer simulation analysis and experimental method are performed. The dynamic characteristics of the large-sized bus are found by using eigenvalue method. It is related with dynamic behavior. The running conditions of a large-sized bus are velocity and road condition which followed experimental conditions. And the frequency response of a large-sized bus is well correlated with analysis result. Modal participation method is used for finding major modes at each peak. Using this method, we found that front and rear suspension system, engine mounting system and roof structure are the major reasons of the roof vibration. To reduce vibration level of roof in a large-sized bus, spring stiffness of front and rear suspension system, spring stiffness of engine mounting system and roof structure are properly combined. From this study, the vibration characteristics of the roof structure of a large-sized bus can be to a satisfactory level.

Comparison on Terror Risk of Large Space Structures and High-rise Buildings in Korea (국내 대공간 건축물과 고층 건축물의 테러위험도 비교)

  • Song, Jin-Young;Yoon, Sung-Won
    • Journal of Korean Association for Spatial Structures
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    • v.16 no.1
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    • pp.105-113
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    • 2016
  • Since the 1980s, the number of large space buildings in Korea has consistently been increasing due to large scale international competitions such as the Olympics and the World Cup, demands for environmental improvement, and development of structural systems. Due to these reasons, this paper conducted a comparative analysis on terrorism risk factors of large space structure and skyscrapers in Korea. The results suggest that the total risk level of high-rise and large space structure was "medium level risk" and that the terrorism risk level for large space structure was as high as that for high-rise buildings. As it relates to the risk levels depending on scenarios, terrorism risks to large space structure were higher than high-rise buildings in the "internal explosion" and "internal intrusion" categories. And the results of analyzing explosion-related scenarios except for CBR suggest that terrorism risks to large space structure were highest when it comes to Internal-Explosive followed by Internal-Intrusion and Explosive-Zone I; and the results showed a regular pattern. On the other hand, in the case of high-rise buildings, terrorism risks were highest in Internal-Explosive followed by Explosive-Zone I and Explosive-Zone II; and the results showed an irregular pattern.

Simultaneous Measurement of Fluid Velocity and Particle Velocity in a Particle-Containing Fluid Flow (입자가 포함된 유동장에서 유체속도와 입자속도의 동시 측정기법)

  • Jin Dong-Xu;Lee Dae-Young;Lee Yoon-Pyo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.17 no.4
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    • pp.355-363
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    • 2005
  • A novel method for simultaneously measuring the fluid velocity and the large particle velocity in a particle-containing fluid flow is developed in this study. In this method, the fluid velocity and the large particle velocity are measured by PIV and PTV, respectively. The PIV and PTV images are obtained from the same flow images. Since a PIV result represents the average displacement of all particles in an interrogation area, it will include an error caused by the relative displacement between the large particles and the fluid. In order to reduce the false influence of large particles on the PIV calculation, the mean brightness of small PIV particle images is substituted to the locations of large particles in the PIV images. The simulation results showed that the new method significantly reduces the PIV error caused by the large particles even at the case where the large particles occupy area fraction as large as $20\%$ of the full image.