• 건축역사연구
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• 제15권4호
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• pp.23-36
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• 2006

Since he was a leading figure in nineteenth century architecture, Viollet-le-Duc's architectural theory is crucial to the foundation of modern architecture. He has been called a Gothic Revivalist, a Structural Rationalist and a Positivist. The first title was perhaps due to his vigorous restoration of Gothic works such as $N\hat{o}tre$ Dame, but he did not adore the Gothic style just for itself. Rather, he hoped to deduce some principles from the style. So how did he manage this? In his book "Entretiens sur l'Architecture (Lectures on Architecture), published between 1864 and 1872, he mentions using Descartes' four rules for reaching architectural certainty in contrast with the chaotic situation during that modernising period. Furthermore Viollet-le-Duc's theory can be seen as a serious attempt to translates Descartes' philosophical rules into systems of architectural speculation. Descartes' four rules of doubt are anchored in mathematical propositions, and without mathematical distinctions, none of these rules are valid. In other word, mathematics for Viollet is the yardstick of judgement between distinctness and indistinctness. Many architectural problems arise from this view. In this paper, the validities of applying Descartes' method of doubt to architectural discourse will be discussed in order to address the question:-Did Viollet-le-Duc clearly grasp Cartesian method by which memory was erased from the world?

• 한국전자통신학회논문지
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• 제14권2호
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• pp.433-438
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• 2019

본 논문에서는 기계 서비스 부품 도면에서 숫자를 인식하기 위하여 입력 영상에 대한 전처리와 딥러닝 모델을 제안한다. 서비스 부품 도면의 숫자를 인식하는데 있는 지시선과 도형에 의한 오검출 또는 오인식을 개선하기 위하여 수학적 형태학 필터링 전처리를 한다. 숫자 인식을 위하여 VGG-16 모델을 축소 변형한 7 개의 계층을 가지는 VGG 모델을 적용함으로써 인식 성능을 개선한다. 서비스 부품 도면의 숫자 인식 실험 결과, 제안하는 방법이 인식률 95.57%, 정확도는 92.82%로 종래의 방법에 현저히 개선된 결과를 얻었다.

• 디지털산업정보학회논문지
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• 제10권4호
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• pp.29-35
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• 2014

The formula contains up between the text and the structural information, as well as their mathematical symbols. Research on-line or off-line recognition formula is underway actively used in various fields, and various forms of the equation are implemented recognition system. Although many documents are included in the various formulas, it is not easy to enter a formula into the computer. Recognition of the expression is divided into two processes of symbol recognition and structural analysis. After analyzing the location information of each character is specified to recognize the effective area after each symbol, and to the structure analysis based on the proximity between the characters is recognized as an independent single formula. Furthermore, analyzing the relationship between the front and back each time a combination of the position relationship between each symbol, and then to add the symbol which was able to easily update the structure of the entire formula. In this paper, by using a scanner to scan the book formula was used to interpret the meaning of the recognized symbol has a relative size and location information of the expression symbol. An algorithm to remove the formulas for calculation of the number of formula is present at the same time is proposed. Using the proposed algorithms to scan the books in the formula in order to evaluate the performance verification as 100% separation and showed the recognition rate equation.

• 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 2^k yuan with probability p_k = 1/2^kk(k + 1), k ∈ ℕ, and zero yuan with probability p₀ = 1 - Σ^∞_k=1 p_k. 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 2^k = 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.

• 한국수학사학회지
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• 제22권4호
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• pp.67-82
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• 2009

본 연구는 최석정의 <구수략>을 수학적 측면보다는 수학철학적 측면에서 재조명한다. 최석정은 <구수략>을 통해 산학을 산학 자체만이 아닌 도학의 전통에서 산학을 정리하고, 산학의 기본 경서라 할 수 있는 <구장산술>을 소강절의 사상론을 바탕으로 재정립하려는 것으로 볼 수 있다. 이는 산학에서 성립되는 법칙이 자연만물의 이치에 벗어나지 않는다는 최석정의 독특한 시각으로 해석할 수 있다.

• 한국도서관정보학회지
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• 제22권
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• pp.299-325
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• 1995

The aim of this thesis is to attempt a bibliographical analysis of Gu Geub Eui Seo that were published during Yi-Dynasty. In this study maters that were treated concretely are the same as follows: 1. Formulation of a system about Gu Geub Eui Seo that were published from Three Kingdoms to Yi-Dynasty. 2. Background of each period about compilation ad publication of mathematical materials. 3. Investigation to transition, block book and domain of subject of Gu Geub Eui Seo through analysis on each period of publication. But it was not easy to contrast materials on each catalogue with existed books one by one. In further, we must a new chance for better a n.0, ppreciation about Yi-Dynasty's Gu Geub Eui Seo through continuous studies to this field.

• 한국수학사학회지
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• 제18권3호
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• pp.25-38
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• 2005

이 글에서는 중국의 산학서에 나타난 직각 삼각형의 풀이에 관한 연구 결과를 역사적으로 간략히 알아본다. 그리고 직각 삼각형에 관한 문제만을 다룬 조선의 산학서 [유씨구고술요도해]를 중심으로 직각 삼각형의 풀이에 관한 문항들을 분석하고, 문제 풀이를 위한 다항 방정식 작성 방법을 예시하며, 각 문항에서 이용한 피타고라스 삼조들을 조사한다.

• 한국HCI학회논문지
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• 제7권2호
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• pp.57-64
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• 2012

최근 독서 장애인을 위한 국제 디지털 음성 도서 표준인 DAISY를 통해 장애인의 고등 교육을 위한 연구가 활성화되고 있으나 그림이나 수식과 같은 특수요소는 음성도서에서 독음해주기 힘들다. 이를 위해, 본 연구에서는 중학교 및 고등학교 1학년 교과과정에 포함된 수식을 토대로 Contents MathML에 대한 한글 독음 규칙을 정의하였다. 또한, 정의한 한글 독음 규칙에 따라 Contents MathML로 표현된 수식을 독음해주기 위한 프로그램을 XSLT로 구현하였다. 본 연구에서 구현한 프로그램을 검증하기 위해 사용성을 검토하였다.

• Asia Marketing Journal
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• 제19권3호
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• pp.19-44
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• 2017

Researchers do not fully understand consumers' responses to negative co-branding events; thus, they report inconsistent evidence regarding the negative impact on the partnering brands. Our research bridges a gap in this research stream, and answers an important question: When a service failure occurs, could the two different models of consumers' brand schema change affect their negative perception of each brand partner? By using a theoretical and mathematical modeling approach, we offer two propositions. The first proposition shows that, under consumers' book-keeping cognitive process, the negative spillover effect occurs for both brands. The second proposition argues that, when the sub-typing model is assumed, it is possible that one brand suffers while the other escapes the blame for the failure. To our knowledge, this is one of the first few studies to identify circumstances in which a negative spillover effect may or may not occur to brand partners in co-branding service failures.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제23권3호
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• pp.887-921
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• 2009

인류 문명의 발달과 함께 폭넓게 활용된 수학적 내용 중의 하나가 피타고라스 정리이다. 특히, 이집트, 메소포타미아, 중국과 같은 고대 문명의 발생지에서 발굴되는 많은 역사적 기록 속에서 피타고라스 정리에 대한 내용을 찾아 볼 수 있다. 피타고라스 정리는 중등학교 수학교육에서 매우 중요한 정리로써, 정리 내용 자체뿐만 아니라 다양한 증명 방법과 증명 과정에 내재된 수학적 아이디어는 수학 교육학적 측면에서 큰 의미를 가지고 있다. 이에 본 연구에서는 먼저 피타고라스 정리의 390여 가지의 알려진 증명 방법들을 중심으로 하여, 피타고라스 정리의 다양한 증명 방법들에 대한 분석을 한다. 분석된 결과를 바탕으로 각 증명 방법들에 대한 핵심 아이디어, 선수학습개념, 주요 아이디어들을 알아보고 내재된 수학교육학적 아이디어를 분석할 것이다.