• 제목/요약/키워드: Strong law of large number

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수준 연속인 퍼지 랜덤 변수의 가중 합에 대한 약 수렴성 (Weak convergence for weighted sums of level-continuous fuzzy random variables)

  • 김윤경
    • 한국지능시스템학회논문지
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    • 제14권7호
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    • pp.852-856
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    • 2004
  • 이 논문에서는 퍼지 랜덤 변수의 합에 대한 약한 대수의 법칙을 일반화로서, 컴팩트 일양 적분 가능한 수준 연속 퍼지 랜덤 변수의 가중 합이 약 수렴하기 위한 동치 조건을 구하였다.

ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF FUZZY RANDOM SETS

  • Joo, Sang-Yeol;Kim, Yun-Kyong;Kwon, Joong-Sung
    • 한국신뢰성학회:학술대회논문집
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    • 한국신뢰성학회 2004년도 정기학술대회
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    • pp.177-182
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    • 2004
  • In this paper, we establish some results on almost sure convergence for sums and weighted sums of uniformly integrable fuzzy random sets taking values in the space of upper-semicontinuous fuzzy sets in $R^{p}$.

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ON LIMIT BEHAVIOURS FOR FELLER'S UNFAIR-FAIR-GAME AND ITS RELATED MODEL

  • An, Jun
    • 대한수학회지
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    • 제59권6호
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    • pp.1185-1201
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    • 2022
  • Feller introduced an unfair-fair-game in his famous book [3]. In this game, at each trial, player will win 2k yuan with probability pk = 1/2kk(k + 1), k ∈ ℕ, and zero yuan with probability p0 = 1 - Σk=1 pk. Because the expected gain is 1, player must pay one yuan as the entrance fee for each trial. Although this game seemed "fair", Feller [2] proved that when the total trial number n is large enough, player will loss n yuan with its probability approximate 1. So it's an "unfair" game. In this paper, we study in depth its convergence in probability, almost sure convergence and convergence in distribution. Furthermore, we try to take 2k = m to reduce the values of random variables and their corresponding probabilities at the same time, thus a new probability model is introduced, which is called as the related model of Feller's unfair-fair-game. We find out that this new model follows a long-tailed distribution. We obtain its weak law of large numbers, strong law of large numbers and central limit theorem. These results show that their probability limit behaviours of these two models are quite different.

J-integral and fatigue life computations in the incremental plasticity analysis of large scale yielding by p-version of F.E.M.

  • Woo, Kwang S.;Hong, Chong H.;Basu, Prodyot K.
    • Structural Engineering and Mechanics
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    • 제17권1호
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    • pp.51-68
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    • 2004
  • Since the linear elastic fracture analysis has been proved to be insufficient in predicting the failure of strain hardening materials, a number of fracture concepts have been studied which remain applicable in the presence of plasticity near a crack tip. This work thereby presents a new finite element model to predict the elastic-plastic crack-tip field and fatigue life of center-cracked panels(CCP) with ductile fracture under large-scale yielding conditions. Also, this study has been carried out to investigate the path-dependence of J-integral within the plastic zone for elastic-perfectly plastic, bilinear elastic-plastic, and nonlinear elastic-plastic materials. Based on the incremental theory of plasticity, the p-version finite element is employed to account for the accurate values of J-integral, the most dominant fracture parameter, and the shape of plastic zone near a crack tip by using the J-integral method. To predict the fatigue life, the conventional Paris law has been modified by substituting the range of J-value denoted by ${\Delta}J$ for ${\Delta}K$. The experimental fatigue test is conducted with five CCP specimens to validate the accuracy of the proposed model. It is noted that the relationship between the crack length a and ${\Delta}K$ in LEFM analysis shows a strong linearity, on the other hand, the nonlinear relationship between a and ${\Delta}J$ is detected in EPFM analysis. Therefore, this trend will be depended especially in the case of large scale yielding. The numerical results by the proposed model are compared with the theoretical solutions in literatures, experimental results, and the numerical solutions by the conventional h-version of the finite element method.

산업안전보건기준의 문제점과 개선방안에 관한 연구 - 산업안전보건기준에 관한 규칙을 중심으로 - (A Study on the Problems and Improvement of Occupational Safety and Health Standards - Focusing on Regulation on Occupational Safety and Health Standards -)

  • 정진우
    • 한국산업보건학회지
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    • 제34권2호
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    • pp.148-155
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    • 2024
  • Objectives: Among the regulations that have recently attracted a lot of social attention in Regulation on Occupational Safety and Health Standards, we would like to specifically present the reasons why even companies with strong will to comply with regulations that are not effective or entail a number of legal problems, and suggest ways to improve them. Methods: The facts were confirmed and identified through various methods such as interviews and meetings with labor inspectors who enforce the Regulation on Occupational Safety and Health Standards and safety officials at industrial sites experiencing them. Results: Due to the lack of effectiveness in Regulation on Occupational Safety and Health Standards, there are not a few areas that do not function properly as a preventive standard. Although operating the regulatory nature of punishment as an administrative guideline without basing it on Regulation on Occupational Safety and Health Standards is a direct violation of the principles of the administration of the rule of law, there are many expedient ways to replace what should be placed in this rule as just an administrative guideline. Conclusions: It should be prioritized to explicitly stipulate effective regulations within the Regulation on Occupational Safety and Health Standards. In addition, as regulations on occupational safety and health standards play a large part in preventing industrial accidents, comprehensive and practical measures are indispensable rather than fragmented and formal measures to ensure that these rules function properly in the prevention industrial accidents.

A study on the Regulatory Environment of the French Distribution Industry and the Intermarche's Management strategies

  • Choi, In-Sik;Lee, Sang-Youn
    • 산경연구논집
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    • 제3권1호
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    • pp.7-16
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    • 2012
  • Despite the enforcement of SSM control laws such as 'the Law of Developing the Distribution Industry (LDDI)' and 'the Law of Promoting Mutual Cooperation between Large and Small/medium Enterprises (LPMC)' stipulating the business adjustment system, the number of super-supermarkets (SSMs) has ever been expanding in Korea. In France, however, Super Centers are being regulated most strongly and directly in the whole Europe viewing that there is not a single SSM in Paris, which is emphasized to be the outcome from French government's regulation exerted on the opening of large scale retail stores. In France, the authority to approve store opening is deeply centralized and the store opening regulation is a socio-economic regulation driven by economic laws whereas EU strongly regulates the distribution industry. To control the French distribution industry, such seven laws and regulations as Commission départementale d'urbanisme commercial guidelines (CDLIC) (1969), the Royer Law (1973), the Doubin Law (1990), the Sapin Law (1993), the Raffarin Law (1996), solidarite et renouvellement urbains (SRU) (2000), and Loi de modernisation de l'économie (LME) (2009) have been promulgated one by one since the amendment of the Fontanet guidelines, through which commercial adjustment laws and regulations have been complemented and reinforced while regulatory measures have been taken. Even in the course of forming such strong regulatory laws, InterMarche, the largest supermarket chain in France, has been in existence as a global enterprise specialized in retail distribution with over 4,000 stores in Europe. InterMarche's business can be divided largely into two segments of food and non-food. As a supermarket chain, InterMarche's food segment has 2,300 stores in Europe and as a hard-discounter store chain in France, Netto has 420 stores. Restaumarch is a chain of traditional family restaurants and the steak house restaurant chain of Poivre Rouge has 4 restaurants currently. In addition, there are others like Ecomarche which is a supermarket chain for small and medium cities. In the non-food segment, the DIY and gardening chain of Bricomarche has a total of 620 stores in Europe. And the car-related chain of Roady has a total of 158 stores in Europe. There is the clothing chain of Veti as well. In view of InterMarche's management strategies, since its distribution strategy is to sell goods at cheap prices, buying goods cheap only is not enough. In other words, in order to sell goods cheap, it is all important to buy goods cheap, manage them cheap, systemize them cheap, and transport them cheap. In quality assurance, InterMarche has guaranteed the purchase safety for consumers by providing its own private brand products. InterMarche has 90 private brands of its own, thus being the retailer with the largest number of distributor brands in France. In view of its IT service strategy, InterMarche is utilizing a high performance IT system so as to obtainas much of the market information as possible and also to find out the best locations for opening stores. In its global expansion strategy of international alliance, InterMarche has established the ALDIS group together with the distribution enterprises of both Spain and Germany in order to expand its food purchase, whereas in the non-food segment, it has established the ARENA group in alliance with 11 international distribution enterprises. Such strategies of InterMarche have been intended to find out the consumer needs for both price and quality of goods and to secure the purchase and supply networks which are closely localized. It is necessary to cope promptly with the constantly changing circumstances through being unified with relevant regions and by providing diversified customer services as well. In view of the InterMarche's positive policy for promoting local partnerships as well as the assistance for enhancing the local economic structure, implications are existing for those retail distributors of our country.

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남아선호사상에 기반한 출생 성비에 관한 확률론적 고찰 (A probabilistic study of the sex ratio at birth related to son preference)

  • 김윤수;최은선;차경준
    • 한국수학사학회지
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    • 제21권4호
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    • pp.79-86
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    • 2008
  • 우리나라의 출생 성비는 자연 상태에서의 출생 성비(natural sex ratio at birth)로 추정되는 105를 초과하고 있는데, 그 원인 중 하나로 남아선호사상으로 인한 인위적인 출산이 있다(e.g. 임신중절 등). 본 연구에서는 임신 중절 없이 남아를 낳을 때까지만 출산을 하려는 가정(family)들의 존재가 출생 성비를 높이는 데에 기여하는지를 알아보기 위하여, 이러한 가정들과 출생 성비(sex ratio at birth)의 관계를 분석하였다. 그 결과, 남아 한 명을 낳을 때까지만 출산을 하려는 가정의 수가 무한으로 발산할수록 출생 성비는 자연 상태에서의 출생 성비에 확률적으로 수렴하는 것을 알 수 있었다. 즉, 남아를 낳을 때까지만 출산을 하려는 가정들의 존재는 출생 성비에 영향을 미치지 않음을 확인하였다.

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일 지역 중년여성의 폐경증상과 폐경관리와의 관계에 대한 연구 (An Analysis of the Relationship between Climacteric Symptoms and Management of Menopause in Middle-aged Women)

  • 송애리
    • 한국간호교육학회지
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    • 제7권2호
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    • pp.308-322
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    • 2001
  • The purpose of this study was to investigate the relationship between climacteric symptoms and management of menopause of middle -aged women. The subjects of this study were 261 women(40 to 60 years old). Data were collected from Jun. 1 to Jul. 15, 2001 by a structured questionnaire. The instruments employed were : 1) The Climacteric Symptoms Scale developed by Aeri Song and Eun soon Chung(1998). 2) The Management of Menopause Scale developed by Aeri Song(1997). The data were analyzed by the SPSS p.c. program using t-test, ANOVA and Pearson correlation coefficient. The results of the study were as follows : 1. Mean score of climacteric symptoms was $2.18{\pm}0.39$(Maximum 4, Minimum 1). The mean scores among the categories of climacteric symptoms, in descending order, were : a) physical and physiological reactions ($2.62{\pm}0.53$), b) social and family relationships ($2.23{\pm}0.50$), c) psychiatric and psychological reactions ($2.08{\pm}0.49$), d) relationship with sexual partner($1.73{\pm}0.54$), e) genitourinary reactions ($1.72{\pm}0.55$). 2. Mean score of management of menopause was $1.79{\pm}0.45$ (Maximum 4, Minimum 1). The mean scores among the categories of management of menopause, in descending order, were : a) dietary management($2.57{\pm}0.52$), b) self control ($2.24{\pm}0.57$), c) management of exercise and physical activity($2.14{\pm}0.75$), d) management of sex life($1.71{\pm}0.47$), e) management of professional health maintenance($1.61{\pm}0.59$). 3. There were statistically significant differences in the score of middle-aged women's self reported climacteric symptoms according to : a) occupation (t=-2.79, p<0.001) b) marriage state (t=-2.29, p<0.05) c) age of menarche (F=4.66, p<0.001) d) method of Sanhujori (post natal care & treatment) (F=4.22, p<0.001) e) hormone replacement therapy (t=-3.09, p<0.05). From the above statistics, several significant findings were noted : a) There were more climacteric symptoms from those who were unemployed, those who had no partner or were divorced and those who started a menarche earlier. b) There were less climacteric symptoms reported from those on hormone replacement therapy and those who followed their parents or parents-in-law advice regarding Sanhujori (postnatal care) 4. There were statistically significant differences in the score of middle-aged women's self reported management of menopause according to : The educational background (F=7.63, p<0.001), religion (F=3.74, p<0.001), income (F=3.65, p<0.001), number of parity (F=4.87, p<0.001), method of Sanhujori(postnatal care) (F=5.73, p<0.001), period of Sanhujori (postnatal care) (F=2.81, p<0.05), hormone replacement therapy (t=3.81, p<0.001). Women with higher educational background, strong religion, higher income, large number of parity, managed their post natal care well, were on HRT, managed their menopause significantly better than the others who took part in the survey. 5. It will be noted from the above that women's degree of climacteric symptoms showed a negative correlation to the management of menopause(r=-0.2146, p<0.001). The findings shown above suggest the need to develop a variable management of menopause, in order to improve climacteric symptoms of middle-aged women. It is hoped that the above findings will stimulate more detailed research into this matter, and thereby enable guidance to be given to women going through the menopause to cope with it in a less stressful way.

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이조시대(李朝時代)의 임지제도(林地制度)에 관(關)한 연구(硏究) (A Study on the Forest Land System in the YI Dynasty)

  • 이만우
    • 한국산림과학회지
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    • 제22권1호
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    • pp.19-48
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    • 1974
  • 토지국유원칙(土地國有原則)을 표방(標榜)하고 "공사(公私) 공리(共利)"를 기본원칙(基本原則)으로 하고 있었던 고려조(高麗朝)의 시전과제도(柴田科制度)도 집권력(執權力)의 약화(弱化)로 인(因)하여 조만간(早晩間), 붕괴(崩壞)되고 말았던 것이나 임지제도(林地制度)에 있어서는 분묘설정(墳墓設定)의 자유(自由)와 개간장려(開墾奬勵)를 이용(利用)한 삼림(森林)의 광점(廣占) 및 전시과제도(田柴科制度)로 인(因)한 시지(柴地)의 수조권위양(收租權委讓)으로 유래(由來)된 사적수조권(私的洙組權)이 결부(結付)된 삼림(森林)의 사점현상등(私占現象等)이 점차(漸次) 발전(發展)하여 고려중기(高麗中期)의 국정해지기이후(國政解地期以後)에는 대부분(大部分)의 삼림(森林)이 권력층(權力層)의 사점지(私占地)로 화(化)하여 왔었다. 고려조(高麗朝)의 모든 제도(制度)를 그대로 계승(繼承)한 이조(李朝)는 건국후(建國後) 국가소용(國家所用)의 삼림확보(森林確保)를 위(爲)한 삼림수용(森林收用)의 제도확립(制度確立)이 긴요(緊要)하였음으로 전국(全國)의 삼림(森林)을 국가권력(國家權力)에 의(依)하여 공수(公收)하고 국가(國家)와 궁실소용이외(宮室所用以外)의 모든 삼림(森林)은 사점(私占)을 금(禁)한다는 "시장사점금지(柴場私占禁止)"의 제도(制度)를 법제화(法制化)하였고 도성주변(都城周邊)의 사산(四山)을 금산(禁山)으로 함과 아울러 우량(優良)한 임상(林相)의 천연림(天然林)을 택(擇)하여 전조선용재(戰漕船用材)와 궁실용재(宮室用材)의 확보(確保)를 위(爲)한 외방금산(外方禁山)으로 정(定)하고 그 금양(禁養)을 위(爲)하여 산직(山直)을 배치(配置)하였다. 그리고 연병(練兵)과 국왕(國王)의 수렵(狩獵)을 위(爲)한 강무장(講武場)과 관용시장(官用柴場), 능원부속림(陵園附屬林)의 금벌(禁伐), 금화(禁火)를 제정(制定) 등(等) 필요(必要)에 따라 수시(隨時)로 삼림(森林)을 수용(收用)하였으나 고려조이래(高麗朝以來)로 권력층(權力層)에 의(依)하여 사점(私占)되어온 삼림(森林)을 왕권(王權)으로 모두 공수(公收)하지는 못하였던 것이다. 이조초기(李朝初期)에 있어서의 집권층(執權層)은 그 대부분(大部分)이 고려조(高麗朝)에서의 권력층(權力層)이었던것 임으로 그들은 이미 전조시대(前朝時代)로부터 많은 사점림(私占林)을 보유(保有)하고 있었던 것이고 따라서 그들이 권력(權力)을 장악(掌握)하고 있는 한(限) 사점림(私占林)을 공수(公收)한다는 것은 어려운 일이었으며 그들은 오히려 권력(權力)을 이용(利用)하여 사점림(私占林)을 확대(擴大)하고 있었던 것이다. 또 왕자(王子)들도 묘지(墓地)를 빙자(憑藉)하여 주(主)로 도성주변(都城周邊)의 삼림(森林)을 광점(廣占)하고 있던 터에 성종(成宗)의 대(代) 이후(以後)로는 왕자신(王自身)이 금령(禁令)을 어기면서 왕자(王子)에게 삼림(森林)을 사급(賜給)하였음으로 16세기말(世紀末)에는 원도지방(遠道地方)에 까지 왕자(王子)들의 삼림사점(森林私占)이 확대(擴大)되었고 이에 편승(便乘)한 권신(權臣)들의 삼림사점(森林私占)도 전국(全國)으로 파급(波及)하였다. 임진왜란후(壬辰倭亂後)에 시작(始作)된 왕자(王子)에 대(對)한 시장절급(柴場折給)은 삼림(森林)의 상속(相續)과 매매(賣買)를 합법화(合法化)시켰고 이로 인(因)하여 봉건제하(封建制下)에서의 사유림(私有林)을 발생(發生)시키게 된 것이다. 그리하여 권신(權臣)들도 합법적(合法的)으로 삼림(森林)을 사점(私占)하게 되었고 따라서 이조시대(李朝時代) 임지제도(林地制度)의 기본(基本)이었던 시장사점금지(柴場私占禁止)의 제도(制度)는 건국초(建國初)로부터 실행(實行)된 일이 없었으며 오로지 국가(國家)의 삼림수용(森林收用)을 합법화(合法化)시키는 의제(擬制)에 불과(不過)하였던 것이다. 금산(禁山)은 그 이용(利用)과 관리제도(管理制度)의 불비(不備)로 인(因)하여 산하주민(山下住民)들의 염오(厭惡)의 대상(對象)이 되었음으로 주민(住民)들의 고의적(故意的)인 금산(禁山)의 파괴(破壞)는 처음부터 심(甚)하였고 이로 인(因)하여 국가(國家)에서는 용재림확보(用材林確保)를 위(爲)한 금산(禁山)의 증설(增設)을 거듭하였으나 관리제도(管理制度)의 개선(改善)이 수반(隨伴)되지 않았음으로 금산(禁山)의 황폐(荒廢)는 더욱 증대(增大)되었다. 영조(英祖)는 정국(政局)을 안정(安定)시키기 위(爲)하여 경국대전이후(經國大典以後) 남발(濫發)된 교령(敎令)과 법령(法令)을 정비(整備)하여 속대전(續大典)을 편찬(編纂)하고 삼림법령(森林法令)을 정비(整備)하여 도성주변(都城周邊)의 금산(禁山)과 각도(各道) 금산(禁山)의 명칭대신(名稱代身) 서기(西紀) 1699년(年) 이후(以後) 개칭(改稱)하여온 봉산(封山)의 금양(禁養)을 강화(强化)시키는 한편 사양산(私養山)의 권한(權限)을 인정(認定)하는 등(等) 적극적(積極的)인 육림정책(育林政策)을 퍼려하였으나 계속적(繼續的)인 권력층(權力層)의 삼림사점광대(森林私占廣大)는 농민(農民)들로부터 삼림(森林)을 탈취(奪取)하였고 농민(農民)들 이 삼림(森林)을 상실(喪失)함으로써 국가(國家)의 육림장려등(育林奬勵策)은 효과(効果)를 나타내지 못하였던 것이다. 임진왜란후(壬辰倭亂後)의 국정해이(國定解弛)로 인(因)한 묘지광점(墓地廣占), 왕자(王子)에 대(對)한 삼림(森林)의 절급(折給) 권세층(權勢層)에 대(對)한 산림사점(森林私占)은 인허(認許)하는 입안문서(立案文書)의 발행등(發行等)으로 법전상(法典上)의 삼임사점금지조항(森林私占禁止條項)은 사문화(死文化)되었고 이조말기(李朝末期)에 있어서는 사양산(私養山)의 강탈(强奪)도 빈발(頻發)하고 있음을 볼수 있다. 이와 같이 이조시대(李朝時代)의 시장사점금지조항(柴場私占禁止條項)은 오로지 농민(農民)에게만 적용(適用)되는 규정(規定)에 불과(不過)하였고 이로 인(因)하여 농민(農民)들의 육림의욕(育林意慾)은 상실(喪失)되었으며 약탈적(掠奪的)인 삼림(森林)의 채취이용(採取利用)은은 금산(禁山), 봉산(封山) 및 사양산(私養山)을 막론(莫論)하고 황폐(荒廢)시키는 결과(結果)를 자아냈으며 권력층(權力層)의 삼림점탈(森林占奪)에 대항(對抗)한 송계(松契)의 활동(活動)으로 일부(一部) 공산(公山)이 농민(農民)의 입회지(入會地)로서 보존(保存)되어왔다. 그럼에도 불구(不拘)하고 일제(日帝)는 이조말기(李朝末期)의 삼림(森林) 거의 무주공산(無主公山)이 었던것처럼, 이미 사문화(死文化)된 삼림사점금지조항(森林私占禁止條項)을 활용(活用)함으로써, 국가림(國有林)으로 수탈(收奪)한후(後) 식민정책(植民政策)에 이용(利用)하였던 것이나, 실제(實際)에 있어서 이조시대(李朝時代)의 삼림(森林)은 금산(禁山), 봉산(封山), 능원부속림등(陸園附屬林等)의 관금지(官禁地)와 오지름(奧地林)을 제외(除外)하고는 대부분(大部分)의 임지(林地)가 권세층(權勢層)의 사유(私有) 내지(乃至)는 사점하(私占下)에 있었던 것이다.

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