• 한국수학사학회지
• /
• 제26권4호
• /
• pp.245-257
• /
• 2013

Hermann Grassmann classified mathematics and extended the dimension of vector spaces by using dialectics of contrasts. In this paper, we investigate his mathematical idea and its background, and the process of the classification of mathematics. He made a synthetic concept of mathematics based on his idea of 'equal' and 'inequal', 'discrete' and 'indiscrete' mathematics. Also, he showed a creation of new mathematics and a process of generalization using a dialectic of contrast of 'special' and 'general', 'real' and 'formal'. In addition, we examine his unique development in using 'real' and 'formal' in a process of generalization of basis and dimension of a vector space. This research on Grassmann will give meaningful suggestion to an effective teaching and learning of linear algebra.

• 한국의류학회지
• /
• 제44권3호
• /
• pp.413-426
• /
• 2020

This study researches the association between associative vocabulary and fashion image language in order to extract ideas that can be used as basic data for design ideas. Classic - avant-garde imaged language were chosen as theme words and each 70 questionnaires per a final image word were used for analysis. We obtained the following results by researching keywords that explained classic image words through a word cloud technique. It was found to have high central representation in the order of suit, classical, basic, music, Chanel, black and traditional. The core key words explaining avant-garde image language were found to have a central representation in the order of : peculiar, huge, Comme des Garçons, artistic, creative, deconstruction and individuality. We extracted the necessary idea dimensions needed for design ideas through associative network graph analysis. In the case of classical image language, it was named as the Mannish Item, Music, Modern Color, and the Traditional Classicality dimensions. In the case of avant-garde image language, it was named as the Key Image, Artistic Aura, Key Design and Designers dimensions.

• 대한수학회보
• /
• 제53권2호
• /
• pp.551-559
• /
• 2016

Recently a construction of local cohomology functors for compactly generated triangulated categories admitting small coproducts is introduced and studied by Benson, Iyengar, Krause, Asadollahi and their coauthors. Following their idea, we introduce the depth of objects in such triangulated categories and get that when (R, m) is a graded-commutative Noetherian local ring, the depth of every cohomologically bounded and cohomologically finite object is not larger than its dimension.

• 한국실내디자인학회논문집
• /
• 제16권5호
• /
• pp.22-29
• /
• 2007

In the face of the new dimension of the developed technology $L{\acute{a}}szl{\acute{o}}$ Moholy-Nagy, a master of 'the Bauhaus Akademie', made an effort to constitute the integrated life of the intellectual and the emotional by translating the experiences of the new technology Into the emotional language and the cultural realities. As an artist who criticized in the constructivist ethos the conception of the image as the imitation and brought the Image movements into relief Moholy-Nagy groped for a new expressive idea that can be called as 'the idea of the non-representational spatial expression' in which the expressive elements interact one another. His idea of the non-representational spatial expression that is made up of the pure forms of the nature, the direct colors and the spatial elements is oriented to incorporate the modern realities, i.e. the space experiences as the complicated sensory workings and the new technology as the measure of the human thinking, and further to see where they will move to. This study is on the one hand purposed to explicate the fundamental idea of the non-representational spatial expression that was poorly illuminated in spite of its importance in the respects of the design and art history, on the other to re-actualize the implications of the space-design which are contained in it.

• 한국콘텐츠학회:학술대회논문집
• /
• 한국콘텐츠학회 2003년도 추계종합학술대회 논문집
• /
• pp.276-280
• /
• 2003

Somani와 Peleg은 k개의 부정확한 진단을 용인함으로써 결함의 개수가 t(차원)개를 초과할 경우에도 시스템을 진단하는 t/k-diagnosable 시스템을 제안하였다. 한편 Kranakis와 Pelc는 결함의 개수가 t개를 초과하지 않는 경우에 하이퍼큐브를 보다 효율적으로 진단하는 알고리즘을 제안하였다. 이 논문에서는 Somani 등이 제안한 것처럼 k=1, 2, 3개의 부정확한 진단을 용인하는 경우에 Kranakis 등이 제안한 효율적인 방법을 기반으로 하이퍼큐브를 진단하는 알고리즘을 제안한다. 그리고 제안한 알고리즘이 약 두 배 이상 더 많은 결함을 진단하면서도 기존의 알고리즘보다 효율이 거의 떨어지지 않는다는 사실을 분석을 통하여 확인할 수 있었다.

• 한국통신학회논문지
• /
• 제31권5C호
• /
• pp.483-489
• /
• 2006

Somani와 Peleg은 k개의 부정확한 진단을 용인함으로써 결함의 개수가 t(차원)개를 초과할 경우에도 시스템을 진단하는 t/k-dignosable 시스템을 제안하였다. 한편 Kranakis와 Pelc는 결함의 개수가 t개를 초과하지 않는 경우에 하이퍼큐브를 보다 효율적으로 진단하는 알고리즘을 제안하였다. 이 논문에서는 Somani등이 제안한 것처럼 k=1, 2, 3개의 부정확한 진단을 용인하는 경우에 Kranakis등이 제안한 효율적인 방법을 기반으로 하이퍼큐브를 진단하는 알고리즘을 제안한다. 그리고 제안한 알고리즘이 약 두 배 이상 더 많은 결함을 진단하면서도 기존의 알고리즘보다 효율이 거의 떨어지지 않는다는 사실을 분석을 통하여 확인할 수 있었다.

• 한국기계가공학회지
• /
• 제12권5호
• /
• pp.157-162
• /
• 2013

To analyze the dynamic acceleration characteristics, it is necessary to identify the acceleration model using some methods that can represent the dynamic properties well. In this sense, fractal methods were used for the verification of characteristics of an acceleration signal. To estimate and analyze the geometry of acceleration signal, a fractal interpolation and its analysis was introduced in this paper. The chaotic nature of acceleration signal was considered in fractal modeling. In this study the fractal signal modeling has brought a focus within the scope of the fractal interpolation and fractal dimension. And a new idea of fractal dimension has been introduced and discussed considering the damping ratio and amplitude for its dynamic properties of the signal. The fractal dimension of acceleration with respect to the scaling factor using fixed data points of 1000 points was calculated and discussed. The acceleration behaviors of this results show some different characteristics. And this fractal analysis can be applied to other signal analysis of several machining such as pendulum type grinding and milling which has many dynamic properties in the signal.

• 디자인학연구
• /
• 제14권3호
• /
• pp.155-164
• /
• 2001

21세기론 생활, 경제, 문화 등 모든 면에서 빠르게 변화하는 Speed 시대라고 합니다. 디자인분야 역시 유행과 소비자 기호가 빠르게 변화하고 있으며 캐릭터 디자인 역시 빠른 변화를 거듭하고 있습니다. 이러한 급변하는 환경속에서 디자이너가 창조적이고 효율적인 캐릭터 디자인 개발을 하기 위해서는 이를 뒷받침해줄 수 있는 새로운 프로세스의 개발이 필요합니다. 즉, 디자이너가 아이디어를 창출하고 이를 전개하는 과정에서 반복되어지는 과정을 효과적으로 활용할 수 있는 방안에 관한 연구가 필요하다고 봅니다. 디자이너는 아이디어 창출단계에서 초기에 떠오른 아이디어를 바탕으로 표현 요소들을 다양하게 조합하고 배치하면서 적합한 디자인을 탐색하는데 많은 시간과 노력을 투자합니다. 본 연구에서는 이러한 과정을 컴퓨터 시스템의 개발을 통하여 디자이너가 3D 캐릭터론 개발하는데 있어서 능력의 한계를 극복하고 최대의 효과를 낼 수 있도록 보조하는데 그 목적을 두었습니다. 즉 시간과 노력을 절약하면서 표현효과는 극대화하는데 목적이 있습니다.

• 한국초등과학교육학회지:초등과학교육
• /
• 제22권1호
• /
• pp.109-120
• /
• 2003

The purpose of this study is to observe, to analyze of the preservice teachers' naive theories about the change of season. And it is to find a instruction strategy which can solve problem about this. The general idea about the change of season is observed by the 3 methods which are simply explaining with words, explaining with pictures and models. The author is to find the similarity. difference and relationship which the preservice teachers have about the general idea about the change of season. The important changable primary factors, which can effect to the general Idea formation, are naturally dragged out through the observation of preservice teachers participation. For this study, 4 first year preservice teachers of one of national university of education are used. Before the interview. the author tries to form rapport with the preservice teachers. Experiment materials, pencil. paper, camcorder, digital recorder and interview note were used for the study with reflection of them just way they are. As the result of the interview. all of 4 preservice teachers had not being understand the concept about the change of season and the three ways of explanation methods were not matched each other, so it is revealed that the general Idea of the change of season, which the preservice teachers have, is not strongly formed. In spite of the repeated study of the change of season from elementary school to university, it has many problem about recognition of the general idea about the change of season which pre-elementary teachers have. Therefore it is needed to improve the experiment in elementary science text book and naive theories by the activity which is explaining the change of season in three dimension space. to prevent the naive theories which the preservice teachers may have.

• Journal of the Korean Statistical Society
• /
• 제25권1호
• /
• pp.49-66
• /
• 1996

The singular value decomposition is one of the most useful methods in the area of matrix computation. It gives dimension reduction which is the centeral idea in many multivariate analyses. But this method is not resistant, i.e., it is very sensitive to small changes in the input data. In this article, we derive the resistant version of singular value decomposition for principal component analysis. And we give its statistical applications to biplot which is similar to principal component analysis in aspects of the dimension reduction of an n x p data matrix. Therefore, we derive the resistant principal component analysis and biplot based on the resistant singular value decomposition. They provide graphical multivariate data analyses relatively little influenced by outlying observations.