• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.581-590
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• 2018

In this paper, we consider surfaces in the 3-dimensional Euclidean space $\mathbb{E}^3$ which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in $\mathbb{E}^3$. We show that tubes are of infinite III-type.

• Korean Institute of Interior Design Journal
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• v.19 no.5
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• pp.56-66
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• 2010

This study proposes a thesis of architectural concepts and visual dimension systems, and the comparison between steps of spatial formation and dimensional alteration. The second chapter, to form the basis of this study, explains the dimensional alterations and changes of fundamental notion of space. In the third chapter, history of space, architectural formations, and changes of the viewpoint are analyzed as objects of study. The forth chapter presents the interrelation between dimensional alteration and the transition in fundamental notion of space, demonstrating that modern architecture has been born from these cultural movements. Lastly, the fifth chapter suggests possibilities on further studies and the following conclusions: First, architectural spaces have been changed, in accordance with the changes of culture, art and the tools that regulate architectural design. Proportional regulations by two-dimensional tools and depth through three-dimensional drawings are created. Second, architectural spaces gained depth by recognizing movement and time that have induced formations to change, creating various aesthetic backgrounds and attempts. Third, the aesthetic background and cosmologic spatial concept have led the visualization and changes of architectural experience. It created the design tools and shapes originated in dynamism and vitality. Forth, diversification of fundamental spatial concepts has become palimpsest and complex, and been divided into four dimensions; expressional two-dimensional space, perspective three-dimensional space, forth-dimensional space of time and experience, and imagery space formed by body movement. Fifth, architecture has been influenced by the elevated viewpoint that understands the whole world as a space. It has evolved from the two-dimensional proportion principle, change of depth and vanishing point to multidimensional space of movement and time. Sixth, changes of fundamental notion of space have arisen from changes of visual dimensions in times. In other words, space has been developed from two-dimensional space to multidimensional space by accepting visual dimension, grasping distance, direction, depth, height, velocity, movement, gravity, power and structure.

• Journal of Families and Better Life
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• v.11 no.2
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• pp.111-120
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• 1993

The purpose of the study is to find how the family moral principles are placed in the Buddhist Sutra how they come up to the surface through certain course. We set up the following five kinds of question for aim of this study First in which form are the family moral principles placed in the Buddhist Sutra ? That is are they shown devided into two between the fundamental though of Buddhism and the concrete description? Second how are the family moral principles melted into the fundamental though of Bud-dhism ? Buddhism takes a cognitive method of pursuiting one from divesification,. If that is so the family moral principles will establish the fundamental thought of Buddhism melted along with other phenomena. When the fundamental thought of Buddhism is restored to the family moral principles which image are they presented with us? Third if the family moral princprinciples melted into the fundamental thought of Buddhism in itself came up to the surface ? Buddhism has a and is mixed together. The family moral principles of Buddhism are named from the fundamental thoughts to the family moral principles and do not come up to the surface but are melted into the important concepts of Buddism that is charity kama nirvara emptiness the principle of middle way. The aspects of the family moral principles which are melted into theses thoughts: 1) The concept of loving-kindness including equality non-self practice is shown in the family moral principles. 2) The thought of karma includes the moral principles for interdependence between the building up of home and family members. 3) Home should be a place of self-realization from the suffering realization This kind of home salvation should be set up by family members themselves and the consciousness of the master that such salvation is neither to be made by others not to be given by god is presented one should be the master of one's life 4) The thought of emptiness includes the social extension of home and those of the moral principles of collective body of family. 5) The Buddnist family is morality is based on the principle of the middle way shich means neither too extrim nor lacking.

• Communications of the Korean Mathematical Society
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• v.15 no.4
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• pp.649-668
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• 2000

In this paper we prove the following : Let M be a real (2n-1)-dimensional compact minimal semi-invariant submanifold in a complex projective space P(sub)n+1C. If the scalar curvature $\geq$2(n-1)(2n+1), then m is a homogeneous type $A_1$ or $A_2$. Next suppose that the third fundamental form n satisfies dn = 2$\theta\omega$ for a certain scalar $\theta$$\neq$c/2 and $\theta$$\neq$c/4 (4n-1)/(2n-1), where $\omega$(X,Y) = g(X,øY) for any vectors X and Y on a semi-invariant submanifold of codimension 3 in a complex space form M(sub)n+1 (c). Then we prove that M has constant principal curvatures corresponding the shape operator in the direction of the distingusihed normal and the structure vector ξ is an eigenvector of A if and only if M is locally congruent to a homogeneous minimal real hypersurface of M(sub)n (c).

• Korean Institute of Interior Design Journal
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• v.20 no.6
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• pp.291-299
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• 2011

As our lifestyles have changed due to rapid industrialization and urbanization, new social and communication problems have been caused and there have been lots of discussion on regional communication. For communities to become alternatives with realistic meanings in this changed society, considerations on social and spatial conditions are needed. Therefore, public space which works as a device of physical environment for activation of communities needs more active changes which encourages social communication. In respect to the activation of communities, the following suggestions are given: First, physical devices of a urban plaza should be arranged to support various programs presented along with consideration of human behaviors as users. Second, fundamental facilities of the plaza should accommodate various activities through connections with programs and commercial space. Third, when cultural and historical characteristics of the community are understood, the plaza can form regionality and symbolism through artistic representation. And users can form the identity of community. Fourth, transportation facilities should be separated from or coexist with areas of passengers and the plaza should have its own identity through symbolic sculptures.

• Honam Mathematical Journal
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• v.23 no.1
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• pp.91-111
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• 2001

In this paper we prove the following : Let M be a semi-invariant submanifold with almost contact metric structure (${\phi}$, ${\xi}$, g) of codimension 3 in a complex hyperbolic space $H_{n+1}{\mathbb{C}}$. Suppose that the third fundamental form n satisfies $dn=2{\theta}{\omega}$ for a certain scalar ${\theta}({\leq}{\frac{c}{2}})$, where ${\omega}(X,\;Y)=g(X,\;{\phi}Y)$ for any vectors X and Y on M. Then M has constant eigenvalues correponding the shape operator A in the direction of the distinguished normal and the structure vector ${\xi}$ is an eigenvector of A if and only if M is locally congruent to one of the type $A_0$, $A_1$, $A_2$ or B in $H_n{\mathbb{C}}$.

• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.953-965
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• 2017

In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space ${\mathbb{I}}_3^1$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.

• Journal of KSNVE
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• v.3 no.4
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• pp.353-359
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• 1993

In this study, the Taylor-Galerkin method is modified to take into consideration the third order term in the Taylor series of the fundamental variable. In the Taylor-Galerkin method, after expressing the governing equation of motion in conservation form, the temporal discretization is done first and then spatial discretization follows in contrast to the conventional approaches. A predictor-corrector type algorithm has been developed previously by the same author. A new computationally efficient direct algorithm is proposed in this study. A study on convergency and accuracy of the solution is carried out. Numerical examples show that this new algorithm exhibits the same order of accuracy with less computational effort.

• Journal of Contemporary Eastern Asia
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• v.21 no.2
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• pp.13-26
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• 2022

This study explores the following research question to address issues linked to emotions, identity, and institutions: how has the cult (institution) of the three Kims affected North Koreans' strong sense of nationalism (emotion), which is based on their Juche ideology (identity)? This paper investigates four fundamental elements of historical institutionalism: time boundedness, path dependency, institutional changes, and the shadow of the past. First, time boundedness illustrates how culture and education have been used to build trust and loyalty in the general public to construct individual and family cults. Second, path dependence reveals how the Songbun system has resulted in strong nationalism throughout Rodongdang's institutionalization. Third, institutional changes highlight the significance of age divides, as different age groups do not always support the three Kims' cult. Finally, the shadow of the past helps us understand the primary processes for generating mass ardent nationalism in the form of powerful impulses for self-sacrifice.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.185-205
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• 2013

In this study, to begin with, it was discussed to gather vocabularies which are expected to be vocabularies related to four fundamental rules of arithmetic and classify them according to kinds and groups, to demarcate vocabularies related to four fundamental rules of arithmetic for using in elementary school mathematics which are associated with addition, subtraction, multiplication, and division directly. Next, the basic vocabularies related to four fundamental rules of arithmetic were discussed. At this time, regarding vocabularies related addition, subtraction, multiplication, and division as coming from the verb add, subtract, multiply, divide respectively, vocabularies that contains the stem of each verb were considered as the basic vocabularies related to four fundamental rules of arithmetics. Following it, vocabularies which assist the operation and indicate the result of the operation were included, then, vocabularies related to four fundamental rules of arithmetic for using in elementary school mathematics were demarcated and presented according to the following criteria. First, a newly coined verb or derivative using the noun form of a certain verb as a root should not be used. Second, such vocabularies of which examples do not exist or rarely exist in textbooks/workbooks should not be used, even though they are registered in mathematics glossary book published by ministry of education or Korean dictionary published by the national institute of Korean language. Third, vocabularies which are not replaceable and vocabularies which have some didactical reasons for using them should be used.