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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.

Analysis of the Validity of the China's Resource Export-Quota Restrictive Measures under the GATT/WTO (중국의 자원수출제한조치와 WTO 규칙 부합성에 관한 분석)

  • Yoo, Ye-Ri
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.38
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    • pp.303-325
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    • 2008
  • China's "Foreign Trade law" 16.4 revised in 2004 like "Foreign Trade law" 16.2 in 1994 is still stipulated resource restriction to protect domestic resources and it does not satisfy the introduction of article 20 and section (g) of GATT 1994. Through an interpretation of related regulations and China-EU cokes dispute, the paper points out that China's "Foreign Trade law" 16.4 has no validity of the introduction of article 20 and section (g) of GATT 1994. Comparing China's "Foreign Trade law" 16.4 to GATT 1994 20(g), China's "Foreign Trade law" 16.4 does not include important conditions of GATT 1994 20 introduction such as not being arbitrary or unjustifiable discrimination and disguised restriction on international trade. For example, based upon China's "Foreign Trade law" , if she restricts or prohibits important natural resources that Korea mainly relies on China, it will effects not only trade between two countries but also our lives and securities. Hence, it is highly time to analyze China's the Validity of the China's Resource Export-Quota Restrictive Measures under the GATT/WTO. In the process of resolving China-EU cokes dispute in 2004, ministry of Commerce of China shows well its characteristics of dispute settlement and also we can find out EU's logical countermeasures. Therefore, because of the high possibility of disputes between Korea and China in the area of natural resources, Korea needs to pay attention to the China's resource protecting policies, and if it violates GATT 1994 20 introduction and (g), we should consider to sue China to WTO. The paper believes that it will play an important role as an aggressive demand and effect on amendment of China's "Foreign Trade law" in the long term.

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A Study on Flag of Convenience and the Determination of the Choice of Law (편의치적과 준거법 지정에 관한 연구)

  • Kim, Jin-Kwon;Jeon, Hae-Dong
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2006.06a
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    • pp.141-142
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    • 2006
  • In relation to the determination of the appropriate choice of law in most of the maritime law issues, 'the law of the flag' or 'the law of the ship's nationality' is commonly used to apply to several provisions which is imposed in Korean Private International Law. But the theory of the law of the flag or ship's nationality suffers from serious problems in case of flag of convenience which is a flag flown by a vessel registered in one state, with which the vessel has few or no connections, while in reality the vessel is owned in or operated from another state. In this case, the article 8 of Korean Private International Law which stipulates the Exception of Choice of Law Clause can be applied to this matter, and thus it is essential to consider many factors which can be used in determining the applicable law through the most significant relationship or genuine link theory.

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The China Coast Guard Law (2021): A New Tool for Intimidation and Aggression (중국해안경비법(Coast Guard Law)(2021): 위협과 공격을 위한 도구)

  • Pedrozo, Raul (Pete)
    • Maritime Security
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    • v.3 no.1
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    • pp.1-44
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    • 2021
  • China's new Maritime Policy Law (MPL) purports to regulate the duties of China's maritime police agencies, including the China Coast Guard, and safeguard China's sovereignty, security, and rights and interest. The MPL has potentially far-reaching application, as China claims extensive maritime areas off its mainland and in the South China Sea. This expansive application of maritime law enforcement jurisdiction is problematic given that most of China's maritime claims are inconsistent with international law. To the extent that the MPL purports to assert jurisdiction over foreign flagged vessels in disputed areas or on the high seas, it contravenes international law. Numerous provisions of the MPL regarding the use of force are also inconsistent with international rules and standards governing the use of maritime law enforcement jurisdiction, as well as the UN Charter's prohibition on the threat or use of force against the territorial integrity or political independence of any state. China could use the MPL as a subterfuge to advance its illegal territorial and maritime claims in the South and East China Seas and interfere with coastal State resource rights in their respective exclusive economic zone.

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A study about the cook′s duty in the School Foodservice law (학교급식법에 나타난 조리사의 직무에 관한 연구)

  • 김숙희
    • Culinary science and hospitality research
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    • v.5 no.1
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    • pp.105-127
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    • 1999
  • The purpose of this study was to investigate cook′s duties in the School Foodservice law, comparing with those of other countries and to suggest the more useful details of cook′s duties. As a result of this study many things of the cook′s duties in the School Foodservice law have to be changed. If then, the gap of the School Foodservice law and Food Sanitation law will be decreased, logical application of two laws could be possible and a lot of cook′s abilities could be enoughly used. Compared with other countries, cooks can be responsible officials in the School Foodservice. Suggestions about cook′s duties in the School Foodservice law are as follows. 1. Not only dietitian but also cook should be subscribed as a responsible official in the School Foodservice law. 2. Not only the duties of dietitian but also those of cook should be subscribed in the School Foodservice law. 3. Cook as a responsible official of School Foodservice should investigate the food as well as dietitian. 4. Dietitian teaches cook and assistant cook how to cook presently by the School Foodservice law, but cook should teach how to cook because cooking is cook′s major and cook gets the national certificate of cooking. 5. Cooks do job under dangerous circumstances, so extra money should be paid to cooks. 6. Even if not being described in the law and education of sanitation is presently done in the cook′s reeducation, dietitian educates sanitation to cook, so it has to be changed. Cook can educate sanitation to other workers in the School Foodservice. 7. The name of office room in the School Foodservice systems "dietitian′s room" should be changed to "Foodservice office room". If those suggestions are accomplished, cooks and dietitians can cooperate effectively and respectfully and the better School Foodservice can be served to students.

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The Liability System and the Legal Nature of the Seller's Liability for Defective Goods under Korean Law and the PELS (유럽매매법원칙과 한국법상 결함상품에 대한 매도인의 책임의 법적성격과 책임제도)

  • Lee, Byung-Mun
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.44
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    • pp.31-55
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    • 2009
  • This study attempts to provide a comparative overview of the liability systems Korean law and the PELS adopt, that is, the approaches taken by Korean law and the PELS to deal with various irregularities of contractual performance. In addition, it examines in a comparative way the questions of what is the position of the seller's liability for his delivery of defective goods under the chosen liability system and what is the legal nature of the seller's liability. The study finds that the dual liability system taken by Korean law has caused some complexities as to the matter of which liability is applicable in some borderline cases. The problem in such complexities is originated in that the remedies available and the limitation period applicable are differentiated in accordance with one's different categorization among three types of default under the general liability and defective performance under the seller's guarantee liability. In this light, the study argues that the unified liability system under the PELS is superior because its concept of non-performance embraces in a unitary manner all the aspects of default including defects in quality, quantity and title. In addition, it finds that Korean law has suffered endless debates on the question of what are the true contents of the same remedies of rescission and damages provided under the seller's guarantee liability as under the general liability. The debates have been come along on the basis of the traditional presumption among some of civil law jurisdictions that two liabilities be different in terms of not only their legal nature but also their contents of remedies. The study argues that the problem may be circumvented, first, by another way of thinking that the unified liability in Korean law is inferred from the specification of the identical remedies for both the general liability and the seller's guarantee liability under the KCC, second, by the preposition that the requirement of fault be depended upon what remedy the buyer seeks to claim rather than what liability he does to rely on.

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Influence of Son-in-Law's Support Consciousness towards Mother-in-Law and Marital Quality Based on the Relation-Satisfaction between the Mother-in-Law and Son-in-Law (장모 부양의식과 부부관계의 질이 장모-사위 간 관계 만족도에 미치는 영향)

  • Jeon, Se-Song;Kim, Sue-Kyung
    • Journal of the Korean Home Economics Association
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    • v.50 no.3
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    • pp.69-81
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    • 2012
  • The purpose of this study was to investigate the effect of the support consciousness of the son-in-law's towards their mother-in-laws and also to study their marital quality(marital satisfaction, spousal influence, spousal loyalty) based on the relation-satisfaction between mother-in-law and son-in-law. We selected 319 married men who had their mother-in-laws as participants of this study and their age groups ranged from the twenties to the sixties. The major findings of this study were as follows: (1) There were significant differences in marital quality and also in the son-in-law's relation-satisfaction with their mother-in-laws with respect to the two-income family, the number of children and the educational level. (2) Marital satisfaction, spousal influence and support consciousness towards mother-in-law affected positively the relation-satisfaction between the mother-in-laws and the son-in-laws.

Analysis of Electrocoagulation Process using Faraday's Law (Faraday's Law에 의한 전기응집공정의 분석)

  • Kim, Hye-Sook;Yun, Young-Im;Cho, Eun-Jeong;Choi, Yun-Hee;Oh, Mi-Young;Kim, Yeong-Kwan
    • Journal of Industrial Technology
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    • v.21 no.A
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    • pp.351-355
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    • 2001
  • This research was carried out to find out the possibility of using Faraday's law in analyzing the electrocoagulation system. Bench-scale reactor equipped with aluminum electrode plates was operated using synthetic wastewater which received sodium chloride for conductivity adjustment. Phosphate was added to the wastewater to induce the precipitation with Al. The amount of aluminum dissolved from the electrodes could be predicted by Faraday's law with a difference less than 5%. This difference was greater at a higher electric current, probably due to the increased solution temperature. However, effect of pH on the dissolution of the aluminum was negligible. The result of this study suggested that the operating condition of electrocoagulation system could be developed using the Faraday's law when the pollutant concentration is given.

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Benford's Law in Linguistic Texts: Its Principle and Applications (언어 텍스트에 나타나는 벤포드 법칙: 원리와 응용)

  • Hong, Jung-Ha
    • Language and Information
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    • v.14 no.1
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    • pp.145-163
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    • 2010
  • This paper aims to propose that Benford's Law, non-uniform distribution of the leading digits in lists of numbers from many real-life sources, also appears in linguistic texts. The first digits in the frequency lists of morphemes from Sejong Morphologically Analyzed Corpora represent non-uniform distribution following Benford's Law, but showing complexity of numerical sources from complex systems like earthquakes. Benford's Law in texts is a principle reflecting regular distribution of low-frequency linguistic types, called LNRE(large number of rare events), and governing texts, corpora, or sample texts relatively independent of text sizes and the number of types. Although texts share a similar distribution pattern by Benford's Law, we can investigate non-uniform distribution slightly varied from text to text that provides useful applications to evaluate randomness of texts distribution focused on low-frequency types.

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Buyer's Right of Rejection and Revocation of Acceptance under the Uniform Commercial Code Compared with English Law (UCC상 매수인의 물품거절 및 승낙 철회권의 영국법과의 비교연구)

  • Lee, Byung-Mun
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.28
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    • pp.3-36
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    • 2005
  • Most legal systems provides the aggrieved buyer with a right to put an end to the contract. Unlike Civil Law systems, the right is rather complicated and uncertain in Common Law systems because they do not sharply distinguish between a refusal which amounts merely to a defence in the nature of the exceptio non adimpleti contractus, and one which is intended to abrogate the aggrieved party's obligations completely and to seek restitution of what he has already performed. That is, they do not draw any sharp distinction between the right of rejection or revocation and the right to put an end to the contract. This explains why the right to put an end to the contract under Civil Law systems are often compared with the right of rejection or revocation under Common Law systems in most academic papers. Having said that, this article describes and analyzes in detail the relevant UCC rules to the buyer's right of rejection and revocation, particularly the rules on the requirements for the right of rejection or revocation. This is for the purpose of providing legal advice to our sellers residing either in U.S.A. or in Korea who plan to enter into U.S.A markets and take academics' interest in the buyer's right which is deemed to be unique compared to the Civil Law systems. In addition, the study attempts to compare the rules as to the right of rejection and revocation under the UCC with those of English law which are stipulated mainly in the Sale of Goods Act (1979) in a statutory form. This may help one better to understand the rules of the UCC which are mostly originated with English law and to find in what way the rules of the UCC depart from those of English law.

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