• 제목/요약/키워드: Book numbers

검색결과 72건 처리시간 0.026초

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

  • An, Jun
    • 대한수학회지
    • /
    • 제59권6호
    • /
    • pp.1185-1201
    • /
    • 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.

유한 순서열의 임의화 (Randomizing Sequences of Finite Length)

  • 허명회;이용구
    • 응용통계연구
    • /
    • 제23권1호
    • /
    • pp.189-196
    • /
    • 2010
  • 미국의 1970년 징병추출(draft lottery)은 유한 순서열 (1, 2, ..., k)의 물리적 임의화를 쉬운 일로 생각하였다가 사회적 물의가 빚어진 대표적인 사례이다. 본 소고는 숫자 1, 숫자 2, ... 등의 순서로 쌓인 k장의 카드 뭉치를 물리적으로 임의화하는 데 있어 반복 시행(repeated trial)의 역할을 밝힌다. 부수적으로 독립시행 수 n, 성공의 확률이 $\theta$인 이항분포 B(n, $\theta$)에서 성공 수가 짝수일 확률은 n이 커짐에 따라 0.5에 수렴하게 됨을 보인다.

식물학문헌을 위한 자동분류시스템의 개발 (Developing an Automatic Classification System for Botanical Literatures)

  • 김정현;이경호
    • 한국도서관정보학회지
    • /
    • 제32권4호
    • /
    • pp.99-117
    • /
    • 2001
  • 본 연구는 분류자동화를 위해 이미 연구된 바 있는 농학 및 의학분야의 AutoBC 시스템에 대한 계속적인 연구의 일환으로 식물학분야의 문헌에 대해 분류자동화가 가능한지의 여부를 CC의 원리를 응용하여 실험 및 검증한 것이다. 분류자동화를 위한 데이터베이스는 원통형과 행렬식의 원리에 의해 설계되었으며, 문헌의 표제나 키워드를 입력하여 자동적인 주제인지 및 분류기호가 생성될 수 있는 윈도우용 자동분류시스템을 새로이 개발하여 실험하였다.

  • PDF

Cutter-Sanborn 저자기호표에 관한 분석적 고찰 (On the Cutter-Sanborn Thtee-figure Author Table)

  • 박준식
    • 한국문헌정보학회지
    • /
    • 제23권
    • /
    • pp.33-62
    • /
    • 1992
  • The purpose of this is to evaluate the contents through the anal us is of the merits and demerits, and its special quality of the Cutter-Sanborn Three-figure Author Table. table. The abstract of this study is as follows : With the results of the analysis of Cutter-Sanborn's Tabls, several advent-age were found in the area of enumerative-ordinal numbering system, mixed notation, and information retrieval. A defect is that each corporate author and serials and reference book's titles are difficult to be numbered, and there is serious diviation in percentages of the numbers assigned to each letter because each letter apportion rate was applied without any criteria. Such phenomenon decrease the effectiveness as author notation in several letters. The separation of headings are seriously unbalanced because the separation of heading is not consistent with actual publishing trends. This phenomenon made difficult individualization of materials in several letters.

  • PDF

통계학책 번역서 네 권에 대한 비평 (A Review of Four Translated Statistics Books)

  • 조재근
    • 응용통계연구
    • /
    • 제17권3호
    • /
    • pp.573-594
    • /
    • 2004
  • 최근 국내에서 통계학 전공자들뿐만 아니라 일반인들도 읽을 수 있는 통계학 책이 많이 출판되는 현상은 대단히 반가운 일이다. 그 책들 가운데에는 국내 저자가 쓴 것보다는 번역서가 더 많은데, 번역도서의 양적인 팽창은 한편으로 그 책들이 번역되어야할 이유가 과연 무엇인가라는 질문을 비롯해서 번역의 질적인 면을 검토할 필요성도 제기한다. 이 글에서는 지난 2003년에 나온 번역서 네 권을 대상으로 그 책들에 담긴 색인과 참고문헌, 통계학 이론과 통계학 용어, 그리고 통계학의 역사에 대해 중점적으로 살펴보았다. 또한 그 책들을 소개하는 일간신문의 신간소개나 서평 기사들도 검토하였다. 결론적으로 이 글의 진단은 번역서들에서 보게 되는 많은 문제점들이 통계학과 거리가 먼 번역자들이 그 책을 옮겼기 때문에 생긴다는 것이다. 따라서 국내의 통계학 전문가들이 일반 대중을 위한 통계학 책의 필요성, 번역 작업이 갖는 의미, 번역할 책의 선택에 대해 좀더 활발하게 토론하고 무엇보다 직접 번역 작업에 참여할 필요가 있겠고, 나아가 일반 한국 사람을 대상으로 한국어로 된 훌륭한 통계학 책을 쓰는 작업에도 더 적극적일 필요가 있겠다.

돈황본(敦煌本) "상한론(傷寒論)"에 관한 연구(硏究) (The Study on the Donhwang Manuscript[敦煌本] "Sanghallon(傷寒論)")

  • 박시덕;신상우;박종현
    • 대한한의학원전학회지
    • /
    • 제21권1호
    • /
    • pp.27-42
    • /
    • 2008
  • It is generally called that the Donhwang Manuscript[敦煌本] "Sanghallon(傷寒論)" is all the series of documents relating to the "Sanghallon(傷寒論)", included in one of the testaments, which was, in 1900, originally found in the Janggyeong hole[藏經洞], Makgo cave[莫高庸], Donhwang(敦煌), Gamsuk province[甘肅省]. The consecutive numbers of the Manuscript are S 202 and P 3287, the former is called the "Sanghallon(傷寒論)" A-Manuscript[甲本] and the latter consists of the "Sanghallon(傷寒論)" B-Manuscript[乙本] and the "Sanghallon(傷寒論)" C-Manuscript[丙本]. The Donhwang Manuscript is a type of a hurt book, but not a complete form of a book. As the research conducted, it has been proven that the Donhwang Manuscript "Sanghallon(傷寒論)" has the academic values as mentioned below. First, it is highly valuable to inter-related study and revise the "Sanghallon(傷寒論)". Second, it is one of circumstantial evidences to have various kinds of versions of the "Sanghallon(傷寒論)". Third, its findings somehow wipes out arguments concerning with identifying authors of the "Sanghallon(傷寒論) Sanghanrye(傷寒例)" and the "Sanghallon(傷寒論) Byeonmaekbeop(辦脈法)". Fourth, it has turned out that the existing "Geumgweokhamgyeong" is not a forgery, but one of imparted versions of the "Sanghallon(傷寒論)" In conclusion, it could be acknowledged that the discovery of the Donhwang Manuscript "Sanghallon(傷寒論)" enables to arrange and revise the "Sanghallon(傷寒論)", and it has provided researchers with critical evidences about ascertaining many kinds of different versions of the "Sanghallon(傷寒論)". Moreover, we can also find the great contribution of this findings which could clarify various non-proven arguments within many experts and researchers.

  • PDF

지방도시의 지속가능성 평가모형 (An Assessment Model on Sustainability of Local City)

  • 홍영록;권상준;명현
    • 한국조경학회지
    • /
    • 제27권4호
    • /
    • pp.1-12
    • /
    • 1999
  • This study aims to find basic data for using the quantitative assessment of the sustainability and establishing the systematic index of the planning for local cities to consider the environmentally sound and sustainable development. The research designs to review professional responding to surveys preceded by separate questionnaires and interviews from book reviews, and suggests to make an assessment model of the sustainability for local cities. The research found consequently as follows. Firstly, the research survey items were decides totally 52, grouped 9 assessmental issues and distributed under 4 assessmental domains for the sustainability from the references of book reviews. Secondly, the research result concentrated on the followings from the professional responding to surveys. 1. A most influent factor is the distribution of animals and plants in a nature domain. The next influent factors are the ratio of mass-transportation systems, the numbers of the species of animals and plants, the acreage of conservative forestry, the numbers of reused water resources, and the usage number of water supply, orderly in the nature domain. 2. A most influent factor is the usage number of synthetic detergents in a pollution domain. The next influent factors are the volume of waste water, the number of registered vehicles, the degree of soil pollution, and the charge of development imposition, orderly in the pollution domain. 3. A most influent factor is the acreage of athletic facilities, in an urban domain. the next influent factors are the acreage of recreational facilities, the number and acreage of cultural assets, the number of cultural facilities, the acreage of landscape conservation area, the charge of cultural asset management, orderly in the urban domain. 4. A most influent factor is the number of waste disposal facilities in a participation domain. The next influent factors are the capacity of reused waste, the usage of synthetic detergents, the ratio of waste water disposal, orderly in the participation domain. 5. A most contributed influent domain to the assessment of the sustainability for local cities is the urban domain. The next influent domains are nature domain, participation domain, and pollution domain, orderly in the contribution of the assessment of the sustainability. But, the pollution domain is little relationship with the sustainability. Therefore, it is clear that the abundant greens and the improved level of culture are dominant influences on the sustainabiligy, as like improving the ratio of roadside trees, the acreage of parks, and enlarging the number of cultural facilities.

  • PDF

홍정하(洪正夏)의 수론(數論) (Hong Jung Ha's Number Theory)

  • 홍성사;홍영희;김창일
    • 한국수학사학회지
    • /
    • 제24권4호
    • /
    • pp.1-6
    • /
    • 2011
  • 조선의 가장 위대한 산학자 홍정하(洪正夏)의 저서 $\ll$구일집(九一集)$\gg$(1724)에 들어있는 최소공배수를 구하는 법을 조사하여 홍정하의 수론에 대한 업적을 밝혀낸다. 홍정하는 두 자연수 a, b의 최대공약수 d와 최소공배수 l 에 대하여 l = $a\frac{b}{d}$=$b\frac{a}{d}$, $\frac{a}{d}$, $\frac{b}{d}$는 서로 소인 것을 인지하여, 자연수 $a_1,\;a_2,{\ldots},a_n$의 최대공약수 D에 대하여, $\frac{a_i}{D}$($1{\leq}i{\leq}n$)도 서로 소이고, 이들의 최소공배수 L도 서로 소인 $c_i(1{\leq}i{\leq}n)$가 존재하여 L = $a_ic_i(1{\leq}i{\leq}n)$임을 보였다. 이 결과는 조선에서 얻어낸 수론에 관한 수학적 업적 중에 가장 뛰어난 것 중의 하나이다. 홍정하가 수학적 구조를 밝혀내는 과정을 드러내는 것이 이 논문의 목적이다.

아동실의 주거 환경 및 이용에 대한 실태 - 시설복지적 측면에서 본 아동공간에 관한 연구 ( I ) - (A study on the actual conditions of residing environment in children's room and it's utilization - A study on Children's Space from a Welfare viewpoint ( I ) -)

  • 박인전
    • 한국주거학회논문집
    • /
    • 제5권1호
    • /
    • pp.29-45
    • /
    • 1994
  • The purpose of this study are to investigate the actual conditions of residing environment in children's room and it's utilization. Further, basic for the guidence and the effective preparation of children's room and children's residing environment in addition willbe produce through grasping the actual conditions of them.The subjects of this study were 214 5th grade elementary school children living in Taegu. The analysis of the data was done through SPSS pc programs.The major findings of this study can be summarized as follow;1. The greater part of children had their own room, and they had the desk, the book case and the clothes chest in their room. But the numbers of children with the bed were few in comparison to those. And a large number of children wanted to have the bed and the computer in their room.2. There were significant differences in the actual conditions of residing environcent in children’s room according to the independent variables. For example, the existence of children's room was variable according to farther's job(0.1% level).3. The case of having their own room in the period of the lower grades in elemtary school dccupied the highest percentage. A lage number of children passed away time mostly in the women'a guarters. In the cleaner of children's room, the case of doing themselves occupied the highest rate as 51 percent.4. There were significant differences in the actual conditions of utilization in children's room according to the independent variables. For example, the period of separation from their parents was variable according to mother's educational level(5%), father's job(0.1%)and the numbers of room(1%).

  • PDF

어린이도서 분류를 위한 KDC 6판 개선 및 적용 방안에 관한 연구 (A Study on the Improvement and Application of KDC 6th ed. for Classifying the Children's Books)

  • 오영옥;이미화
    • 한국도서관정보학회지
    • /
    • 제50권1호
    • /
    • pp.105-124
    • /
    • 2019
  • 본 연구는 어린이도서 분류를 위한 KDC 6판의 개선 및 적용 방안을 마련하고자 문헌연구 및 설문조사를 실시하였다. 첫째, 어린이도서의 KDC 간략화 및 세분전개 방안으로 서울시교육청 20개 도서관 및 대표적인 C 도서관이 소장한 어린이도서 주제별 통계 분포를 바탕으로 중분류, 소분류로 간략화 할 분야를 제시하고, 세분화 전개가 필요한 항목은 도서관별 분류지침을 적용하여 확장할 것을 제안하였다. 둘째, 지식그림책과 동화는 내용과 주제에 따라 각 해당항목에 분류하고, 각 나라의 동화는 세목 추가 및 장르 구분을 추가하여 특정 기호에 편중된 자료를 분산시킬 것을 제시하였다. 셋째, 이용자를 위해 연령별, 독서수준별에 따른 배가 방안과 이를 위한 가이드라인의 배포, 분류와 관련한 이용자 교육 실시를 제안하였다. 본 연구는 향후 KDC 6판 개정 시 어린이도서의 간략판 개발 마련에 기여할 수 있을 것이다.