• Title/Summary/Keyword: Formal

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Reconsidering the Formal Accounts of Continuity in the Theory-Change from Newtonian to Einsteinian Physics

  • Yang, Kyoung-Eun
    • Korean Journal of Logic
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    • v.12 no.2
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    • pp.171-199
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    • 2009
  • This essay will consider evolutionary views that attempt to capture the continuity of theory-change from Newtonian to Einsteinian physics via the formal aspects of these theories. Although it cannot be denied that the formal aspects such as 'correspondence principles' and 'covariance principles' provide important information concerning this theory-change, these formal properties are not sufficient to capture the essential elements of any evolutionary account of the development of Einstein's special and general theories of relativity from Newtonian mechanics.

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Independence in probability, The conflicts between its intuitive concept and formal definition (확률 영역에서의 독립성, 그 직관적 개념과 형식적 정의의 갈등)

  • Cho, Cha-Mi;Park, Jong-Youll
    • The Mathematical Education
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    • v.47 no.3
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    • pp.373-386
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    • 2008
  • In highschool probability education, this study analyzed conflicts between intuitive concept and formal definition which originates from the process of establishing the concept of statistical independence. In judging independence, completely different types of problems requiring their own approach was analyzed by dividing them into two types. By doing so, this study researched a way to view independence as an overall idea. That is purposed to suggest a solution to a conflicts between intuitive concept and formal definition and to help not to judge independence out of wrong intuition. This study also suggests that calculation process which leads to precise perception of sample space and event be provided when we prove independence by expressing events with assembly symbols.

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Didactical Issues Related to Necessary Condition and Sufficient Condition (필요조건, 충분조건 개념의 학습과 관련한 문제들)

  • Hong, Jin-Kon;Kong, Jung-Taek
    • Journal for History of Mathematics
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    • v.28 no.4
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    • pp.191-204
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    • 2015
  • The reason of the confusion of learners about the logic concepts such as implication, necessary condition and sufficient condition can be analyzed from the point of view of history of logic, discrepancy between ordinary language and formal logic, and reification which occurs in the process of cognition of discursive object and also indicates the necessity of a research. This study analysed the difficulties related to study and implication concept and attempted to the reflection of textbook and curriculum. Not that ordinary language makes the introduction of formal language easier, but that this study discussed the possibilities ordinary language intervenes the learning of formal language. This study additionally intended to understand learning difficulties of concrete subjects, abstract subjects and the gap between primary object and discursive object by understanding the process of sagging, encapsulating and reifying.

Formal Analysis of Automatic Train Protection and Block System for Regional Line Using VDM++

  • Xie, Guo;Hei, Xinhong;Mochizuki, Hiroshi;Takahashi, Sei;Nakamura, Hideo
    • International Journal of Railway
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    • v.5 no.2
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    • pp.65-70
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    • 2012
  • This paper introduced a novel railway system, Automatic Train Protection and Block (ATPB) briefly, which is proposed to improve the efficiency of existing regional train lines with low cost in Japan. The biggest superiority of ATPB system is a great use of universal and mature technologies, such as GPS and regular mobile telephone networks, so that there is nearly no increment of trackside equipments in the reconstruction. Then in order to guarantee the system safety, a formal model of ATPB is established and analyzed by formal method VDM++. Firstly, the specification is specified by VDM++ formally without ambiguity. Secondly, its internal consistency is proved by discharging the proof obligations. And finally, its satisfiability is checked by systematic testing, which executes specification and checks the outputs against corresponding inputs.

A Generalization of Formal Local Cohomology Modules

  • Rezaei, Shahram
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.737-743
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    • 2016
  • Let a and b be two ideals of a commutative Noetherian ring R, M a finitely generated R-module and i an integer. In this paper we study formal local cohomology modules with respect to a pair of ideals. We denote the i-th a-formal local cohomology module M with respect to b by ${\mathfrak{F}}^i_{a,b}(M)$. We show that if ${\mathfrak{F}}^i_{a,b}(M)$ is artinian, then $a{\subseteq}{\sqrt{(0:{\mathfrak{F}}^i_{a,b}(M))$. Also, we show that ${\mathfrak{F}}^{\text{dim }M}_{a,b}(M)$ is artinian and we determine the set $Att_R\;{\mathfrak{F}}^{\text{dim }M}_{a,b}(M)$.

Product Variety Modeling Based on Formal Concept Analysis

  • Kim, Tai-Oun
    • Industrial Engineering and Management Systems
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    • v.9 no.1
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    • pp.1-9
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    • 2010
  • Increasing product variety based on product family and product platform provides a company with a competitive advantage over its competitors. As products become more complex, short-life cycled and customized, the design efforts require more knowledge-intensive, collaborative and coordinating efforts for information sharing. By sharing knowledge, information, component and process across different families of products, the product realization process will be more efficient, cost-effective and quick-responsive. Formal Concept Analysis (FCA) is used for analyzing data and forming semantic structures that are formal abstractions of concepts of human thoughts. A Web Ontology Language (OWL) is designed for applications that need to process the content of information instead of simply presenting information to humans. OWL also captures the evolution of different components of the product family. The purpose of this paper is to develop product variety modeling to increase the usefulness of common platform. In constructing and analyzing product ontology, FCA is adopted for conceptual knowledge processing. For the selected product family, product variety Ontology is constructed and implemented using prot$\'{e}$g$\'{e}$-2000.

A Study on the Way to Improve the Environmental Education of Elementary and Secondary School in Seoul for a Sustainable Development (지속가능 발전을 위한 서울특별시 초.중등학교 환경교육 개선 방안 연구)

  • Park, Tae-Yoon;Noh, Kyung-Im
    • Hwankyungkyoyuk
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    • v.22 no.1
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    • pp.110-119
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    • 2009
  • To promote environmental education of elementary and secondary school in Seoul for a sustainable development, researchers investigated and analysed the current situation of formal and non-formal environmental education in Seoul as well as their major problems. Based on these current situation and problems, the way to improve the environmental education of elementary and secondary school in Seoul was described. The final section deals with specific recommendations to accomplish the improvement of environmental education of elementary and secondary school in Seoul for a sustainable development as follows: 1) Integration of formal and non-formal environmental education system, 2) Establishment and operation of a regional environmental education center for community, 3) International cooperation, and 4) To provide high quality environmental education programs.

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A Development Methodology for Reliability Improvement of ESTEREL based Embedded Software (Esterel 기반 임베디드 소프트웨어의 신뢰성 향상을 위한 개발 기법)

  • YANG Jin-Seok;SIM Jae-Hwan;KIM Jin-Hyun;KANG In-Hye;CHOI Jin-Young
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.07b
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    • pp.334-336
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    • 2005
  • 본 논문은 정형 명세 언어인 Esterel이 가지는 취약점을 보안하기 위해 Safety-Critical Aided Development Environment를 추가로 활용하여 신뢰성 있고 안전적인 임베디드 제어 소프트웨어 개발을 위한 기법을 제시하고 있다. 그 뿐만 아니라 제시한 기법을 이용하여 개발된 간단한 자동 강속 제어 소프트웨어를 인터페이스와 기능 부분에 대해서 각각 확인 및 검증을 수행한 후 임베디드 시스템인 레고 마인드 스톰으로 제작된 차량 로봇에 탑재한 후 실험을 하고, 실험을 통해 기존 개발 기법과의 차이점을 분석한다.

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Monitoring Method for Fault Tolerance of Real-time System (실시간 시스템의 Fault Tolerance를 위한 모니터링 기법)

  • SIM Jae-Hwan;KIM Jin-Hyun;YANG Jin-Seok;CHOI Jin-Young
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.07a
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    • pp.772-774
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    • 2005
  • 안전성이 강조되는 실시간 시스템에서 시스템이 시간의 제약을 만족해야만 한다. 실시간 시스템에서 오류는 잘못된 응답 뿐 만이 아니라 시간적으로 늦은 응답에 대해서도 오류로 분류를 할 수가 있다. 이런 오류들을 모니터하기 위해서 본 논문에서는 커널에 Timed Conformance Monitor를 모듈로 추가하였다. Timed Conformance Monitor를 통해서 실시간 태스크가 시간의 제약을 만족하는지를 분석하고 또한 분석 결과에 따라 오류를 처리할 수 있는 Fault Handler를 추가하여 실시간 시스템에 대한 Fault Tolerance를 보장해 줄 수 있다.

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Formal Verification for Business Rule Safety (비즈니스 룰의 안전성을 위한 증명기법)

  • Shin, Yong-Nyuo;Cha, Ree-Seo;Choi, Jin-Young;Bai, Min-O
    • Proceedings of the Korea Information Processing Society Conference
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    • 2001.04a
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    • pp.519-522
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    • 2001
  • 바람직한 비즈니스 룰의 기본은 어디에 어떠한 형태로 구현되더라도 유일하고, 일관적인 모델 이여야 한다는 것이다. 또한 비즈니스 룰 자체의 정립은 의사결정 시스템을 사용함으로써 경영 전략이 바뀌어도 시스템 담당자에게 의뢰할 필요 없이 기획자가 바로 코드 값만 변경시키면 기존의 시스템을 그대로 사용할 수 있을 정도의 유연성을 가지게 된 현실에 비추어 볼 때 매우 요원한 일이다. 즉, 비즈니스 룰은 DRM(Digital Rights Management) 시스템뿐만 아니라 e-CRM을 실현하는 모든 시스템에서 사용되며, 이 비즈니스 룰의 충돌로 인해서 시스템의 작동 여부가 결정될 수 있다. 룰 자체가 자연어로 기술되고 언젠가는 모순을 유발할 가능성이 높기 때문에 먼저 명확한 논리식으로 표현하고 LEGO라는 정형기법 도구를 통해 검증하도록 한다.

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