• Title/Summary/Keyword: principal concepts

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A Study on the Development of Geometry as the Natural Laws and the Concepts of Space - Focus on the Whitehead's theories of natural laws - (자연법칙으로서 기하학과 공간 개념의 전개에 관한 연구 - 화이트헤드의 자연법칙 학설을 중심으로 -)

  • Hwang, Tae-Joo
    • Korean Institute of Interior Design Journal
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    • v.19 no.2
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    • pp.90-98
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    • 2010
  • The concepts of laws like regularity or persistence or recurrence those are discovered in nature, became the essential elements in speculative philosophy, study and scientific technology. Western civilization was spread out by these natural laws. As this background, this study is aimed to research the theories of natural laws and the development of geometry as the descriptive tools and the development aspects of the concepts of space. According to Whitehead's four theories on the natural laws, the result of this study that aimed like that as follows. First, the theories on the immanence and imposition of the natural laws were the predominant ideas from ancient Greek to before the scientific revolution, the theory on the simple description like the positivism made the Newton-Cartesian mechanism and an absolutist world view. The theory on the conventional interpretation made the organicism and relativism world view according to non-Euclidean geometry. Second, the geometrical composition of ancient Greek architecture was an aesthetics that represented the immanence of natural laws. Third, in the basic symbol of medieval times, the numeral symbol was the frame of thought and was an important principal of architecture. Fourth, during the Renaissance, architecture was regarded as mathematics that made the order of universe to visible things and the geometry was regarded as an important architectural principal. Fifth, according to the non-Euclidean geometry, it was possible to present the natural phenomena and the universe. Sixth, topology made to lapse the division of traditional floor, wall and ceiling in contemporary architecture and made to build the continuous space. Seventy, the new nature was explained by fractal concepts not by Euclidean shapes, fractal presented that the essence of nature had not mechanical and linear characteristic but organic and non-linear characteristic.

ON INTEGRAL DOMAINS IN WHICH EVERY ASCENDING CHAIN ON PRINCIPAL IDEALS IS S-STATIONARY

  • Hamed, Ahmed;Kim, Hwankoo
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1215-1229
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    • 2020
  • Let D be an integral domain and S a multiplicative subset of D. An ascending chain (Ik)k∈ℕ of ideals of D is said to be S-stationary if there exist a positive integer n and an s ∈ S such that for each k ≥ n, sIk ⊆ In. As a generalization of domains satisfying ACCP (resp., ACC on ∗-ideals) we define D to satisfy S-ACCP (resp., S-ACC on ∗-ideals) if every ascending chain of principal ideals (resp., ∗-ideals) of D is S-stationary. One of main results of this paper is the Hilbert basis theorem for an integral domain satisfying S-ACCP. Also we investigate the class of such domains D and we generalize some known related results in the literature. Finally some illustrative examples regarding the introduced concepts are given.

PRINCIPAL FIBRATIONS AND GENERALIZED H-SPACES

  • Yoon, Yeon Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.1
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    • pp.177-186
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    • 2016
  • For a map $f:A{\rightarrow}X$, there are concepts of $H^f$-spaces, $T^f$-spaces, which are generalized ones of H-spaces [17,18]. In general, Any H-space is an $H^f$-space, any $H^f$-space is a $T^f$-space. For a principal fibration $E_k{\rightarrow}X$ induced by $k:X{\rightarrow}X^{\prime}$ from ${\epsilon}:PX^{\prime}{\rightarrow}X^{\prime}$, we obtain some sufficient conditions to having liftings $H^{\bar{f}}$-structures and $T^{\bar{f}}$-structures on $E_k$ of $H^f$-structures and $T^f$-structures on X respectively. We can also obtain some results about $H^f$-spaces and $T^f$-spaces in Postnikov systems for spaces, which are generalizations of Kahn's result about H-spaces.

PRINCIPAL COFIBRATIONS AND GENERALIZED CO-H-SPACES

  • Yoon, Yeon Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.1
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    • pp.129-139
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    • 2017
  • For a map $p:X{\rightarrow}A$, there are concepts of co-$H^p$-spaces, co-$T^p$-spaces, which are generalized ones of co-H-spaces [17,18]. For a principal cofibration $i_r:X{\rightarrow}C_r$ induced by $r:X^{\prime}{\rightarrow}X$ from $\imath:X^{\prime}{\rightarrow}cX^{\prime}$, we obtain some sufficient conditions to having extensions co-$H^{\bar{p}}$-structures and co-$T^{\bar{p}}$-structures on $C_r$ of co-$H^p$-spaces and co-$T^p$-structures on X respectively. We can also obtain some results about co-$H^p$-spaces and co-$T^p$-spaces in homology decompositions for spaces, which are generalizations of Golasinski and Klein's result about co-H-spaces.

Lane Recognition Algorithm by an Image Processing (영상처리 기반의 차선인식 알고리즘)

  • 이준웅
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.6
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    • pp.759-764
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    • 1998
  • We propose a novel algorithm capable of recognizing the road lane by image processing. Considering the fact that the direction and location of road lane are maintained similarly in successive images we formulate a function to represent the property. However, as noises play the role of making a lot of similar patterns appear and disappear in the road image, keeping of robustness in the lane detection has been known a difficult work. To overcome this problem, we introduce the following three ideas: 1) design of a function based on an edge direction and magnitude, 2) construction of a recursive filter to estimate the function recursively for successive images, 3) principal axis-based line fitting. These concepts enhance the adaptability to cope with the random environment of traffic scene and eventually lead to the reliable detection of a road lane.

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A Study on the Planning of Rural Housing of Energy Saving Type Environmental Friendly (에너지 절약형 친환경 농어촌주택 디자인 방향에 관한 연구)

  • Son, Kwang-Ho;Jeong, Do-hwa;Shin, Jung-Sook;Kim, Kang-Seob
    • Journal of the Korean Institute of Rural Architecture
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    • v.12 no.4
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    • pp.13-20
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    • 2010
  • This study takes notes on energy problems and sustainability of rural housing. The purpose of this study was to analyze the actual conditions of rural and applying energy saving of rural housing. For this, we tried to review literatures and conduct a field survey. The results of this study were as follows, first, rural housing of energy saving type environmental friendly applied planning factors with gradual carbon decrease by considering economic efficiency, current application and technical level. Second, the principal concepts of this housing are economic, locality and energy efficiency, it is applicable three kinds of the concepts of environmentally friendly housing. Third, this housing in planning must decrease energy consumption and increase air conditioning efficiency by means of air tightness and improvement insulation capacity.

Analysis of Concept Mapping about the Perception of Teacher's Rights by Childcare Teachers (보육교사의 교사권리 인식에 대한 개념도 분석)

  • Jang, Kyung Wha;Lim, Sun Ah
    • Korean Journal of Childcare and Education
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    • v.18 no.1
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    • pp.51-70
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    • 2022
  • Objective: In order to promote the rights of childcare teachers, there is a need to identify problems and demands about the rights of childcare teachers. Therefore, this study sought to examine the perception of childcare teachers' rights in order to identify the concepts of teacher rights. Methods: This study used the concept mapping method to identify the concepts of childcare teachers' teacher rights and interpreted these concepts utilizing the multi-dimension analysis method. Results: As a result of interviews from eight childcare teachers, 37 statements were derived. The result of similarities evaluated by 28 childcare teachers showed that 37 statements about teachers' rights consisted of two dimensions and four clusters (direct-indirect and indoor-outdoor of day-care center). Conclusion/Implications: This study suggested that direct and indirect efforts are needed to enhance the rights of childcare teachers and that change is necessary not only within daycare centers such as the principal but that change is also necessary outside daycare centers such as at government agencies in relation to daycare teachers's rights.

GEOMETRY OF ISOPARAMETRIC NULL HYPERSURFACES OF LORENTZIAN MANIFOLDS

  • Ssekajja, Samuel
    • Journal of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.195-213
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    • 2020
  • We define two types of null hypersurfaces as; isoparametric and quasi isoparametric null hypersurfaces of Lorentzian space forms, based on the two shape operators associated with a null hypersurface. We prove that; on any screen conformal isoparametric null hypersurface, the screen geodesics lie on circles in the ambient space. Furthermore, we prove that the screen distributions of isoparametric (or quasi isoparametric) null hypersurfaces with at most two principal curvatures are generally Riemannian products. Several examples are also given to illustrate the main concepts.

Multiscale Clustering and Profile Visualization of Malocclusion in Korean Orthodontic Patients : Cluster Analysis of Malocclusion

  • Jeong, Seo-Rin;Kim, Sehyun;Kim, Soo Yong;Lim, Sung-Hoon
    • International Journal of Oral Biology
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    • v.43 no.2
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    • pp.101-111
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    • 2018
  • Understanding the classification of malocclusion is a crucial issue in Orthodontics. It can also help us to diagnose, treat, and understand malocclusion to establish a standard for definite class of patients. Principal component analysis (PCA) and k-means algorithms have been emerging as data analytic methods for cephalometric measurements, due to their intuitive concepts and application potentials. This study analyzed the macro- and meso-scale classification structure and feature basis vectors of 1020 (415 male, 605 female; mean age, 25 years) orthodontic patients using statistical preprocessing, PCA, random matrix theory (RMT) and k-means algorithms. RMT results show that 7 principal components (PCs) are significant standard in the extraction of features. Using k-means algorithms, 3 and 6 clusters were identified and the axes of PC1~3 were determined to be significant for patient classification. Macro-scale classification denotes skeletal Class I, II, III and PC1 means anteroposterior discrepancy of the maxilla and mandible and mandibular position. PC2 and PC3 means vertical pattern and maxillary position respectively; they played significant roles in the meso-scale classification. In conclusion, the typical patient profile (TPP) of each class showed that the data-based classification corresponds with the clinical classification of orthodontic patients. This data-based study can provide insight into the development of new diagnostic classifications.