• Korean Journal of Mathematics
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• v.5 no.1
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• pp.9-16
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• 1997

In this paper, we construct new classes from the idea of [6, Theorem 2.1] and show that the property of operators belonging to the classes is inherited by certain dilations. And we also prove that the existence of common noncyclic vectors for certain families is equivalent to the existence of infinite dimensional common semi-invariant subspace of operators.

• Journal of Korean Philosophical Society
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• v.141
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• pp.1-42
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• 2017

This paper's purpose is to seek to grasp how Descartes demonstrates proofs of God's existence on the basis of his works especially Meditations. To consider these points, I shall explore first, second, third proofs that are present in his works, and contents related to God. Descartes argues that there is idea of God within me, but it is God, which is first proof. On the basis of this fact, Descartes shows only God is the cause of thinking self who has idea of God(second proof), both of them are called Cosmological argument. To investigate this, at first he states that representative reality that is different from formal reality sets a kind of hierarchy, the degree of this reality is equally applied to cause and effect, consequently to the cause of my idea or existence(God). From Meditation V, third proof which is called Ontological argument, Descartes examined a supremely perfect God can't be separated from God's existence(perfection) just as surly as the certainty of any shape or number, for example triangle, namely it is quite evident that God's existence includes his essence. Through these processes I shall examine following points: the way of having Descartes' proofs of God's existence itself is not only exposed, God's existence who guarantees cogito ergo sum which is never doubted, despite doubting all things that is outside, is but also postulated; Proofs for the existence of God are an ultimate source of ensuring the clear and distinct perception of human reason, Descartes uses reason suitable for non-christians instead of faith suitable for Christians for these methods, which are similarities with the traditional views on the one hand, but nevertheless there are some of discontinuities establishing authority or power of the first philosophical principle to which God is subjected, on the other.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.261-267
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• 2010

Both history of mathematics and education of mathematics is old subject. The question arises wether can these two important subjects can help each other or not. Unfortunately this idea made mathematics society into two groups; one has idea that history of mathematics can help education of mathematics and other group has idea that not only history of mathematics can not help education of mathematics but also it makes some confusion. In this article the author is going to do some comparison and take some conclusion that history of mathematics can make education of mathematics so active and interesting.

• Journal of the Korean Society of Clothing and Textiles
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• v.33 no.7
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• pp.1128-1139
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• 2009

This study is on the works of Hussein Chalayan that is an expression of his idea and abstract concepts such as culture, history, time, space, nature, and humanity. The perspective of E. H. Gombrich is studied to understand the works of Chalayan who is the one of representative fashion designers in the present age. The 'schema and correction' process of E. H. Gombrich provides a suitable interpretation frame that considers the variety of works of art and the deconstruction of genre in the after 20th century. Hussein Chalayan attempts to combine clothes with other territories to show the spirit as materiality. He expresses the clothes that speaks the form of nature, symbolizes the combination of culture, visualizes time and space, and investigates the existence of human beings. Hussein Chalayan poses an endless question about the existence of human beings. He has put a question about the relationship of the human being and time, space, history, and nature. His trial to visualize the metaphysical conception of 'ego' and 'self' through his works makes him the representative designer of the 21st century.

• Kyungpook Mathematical Journal
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• v.29 no.2
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• pp.141-147
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• 1989

The existence and uniqueness of solutions of nonlinear Volterra-Fred-holm integral equations of the more general type are investigated. The main tool employed in our analysis is the method of successive approximation based on the general idea of T.Wazewski.

• Journal of Korean Society of Rural Planning
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• v.9 no.4 s.21
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• pp.19-34
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• 2003

The purpose of this study is to investigate an epistemological recognition of rural society. This study suggests an epistemological reorientation for rural society circumscribing diverse theoretical thoughts as well as empirical evidences. Traditional theoretical perspectives in urban-rural dichotomy envisioned by modernistic idea have regarded rural society as a premodern and underdeveloped society. The perspectives also have regarded city as a symbol of civilization and development. These perspectives thought of the function of rural society as a periphery that can survive as a back-up for urban-oriented prosperity. This study shows that these idea have been concentrated on agricultural expansionism and productivism which do not function in the post-modem societies my longer. The present study argues that these modernistic idea give little understanding of implicit value of rural society. Owing to the functional change of rural society which is quite omnipresent in the 21'st centuries in the world, the present study argues that the value of rural society should work even in the market society that has traditionally been regarded as an working-mechanism in urban society. The present study drives a new insight showing that rural renaissance is an explicit existence instead of a phenomenal one.

• Journal of the Korean Mathematical Society
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• v.51 no.4
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• pp.703-719
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• 2014

This paper is concerned with the traveling wave solutions of nonlocal dispersal models with nonlocal delays. The existence of traveling wave solutions is investigated by the upper and lower solutions, and the asymptotic behavior of traveling wave solutions is studied by the idea of contracting rectangles. To illustrate these results, a delayed competition model is considered by presenting the existence and nonexistence of traveling wave solutions, which completes and improves some known results. In particular, our conclusions can deal with the traveling wave solutions of evolutionary systems which admit large time delays reflecting intraspecific competition in population dynamics and leading to the failure of comparison principle in literature.

• Communications for Statistical Applications and Methods
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• v.14 no.2
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• pp.443-457
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• 2007

This paper deals with the problem of testing the existence of change in mean and estimating the change-point using nonparametric bootstrap technique. A test statistic using Gombay and Horvath (1990)'s functional form is applied to derive a test statistic and nonparametric change-point estimator with bootstrapping idea. Achieved significance level of the test is calculated for the proposed test to show the evidence against the null hypothesis. MSE and percentiles of the bootstrap change-point estimators are given to show the distribution of the proposed estimator in simulation.

• Journal of applied mathematics & informatics
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• v.42 no.4
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• pp.749-759
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• 2024

In this manuscript, we formulate the notion of Ω(H, θ)-contraction on a self mapping f : W → W, this contraction based on the concept of Ω-distance mappings equipped on G-metric spaces together with the concept of H-simulation functions and the class of Θ-functions, we employ our new contraction to unify the existence and uniqueness of some new fixed point results. Moreover, we formulate a numerical example and a significant application to show the novelty of our results; our application is based on the significant idea that the solution of an equation in a certain condition is similar to the solution of a fixed point equation. We are utilizing this idea to prove that the equation, under certain conditions, not only has a solution as the Intermediate Value Theorem says but also that this solution is unique.

• Journal of the Daesoon Academy of Sciences
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• v.26
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• pp.143-182
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• 2016

The Qi(氣) concept in the Orient is the important concept which forms the world-view and thinking structure of the Oriental. The idea of Qi unfolds two ways. The first is the cosmogony that is the theory explaining the creation and change of universe through the change of Qi. The second is the preservation theory that think human body is full of Qi and we can be the immortal by raising Qi inside human body. The canon of Daesoonjinrihoe(大巡眞理會), Jeon-gyung(典經) also says about Qi many times especially in the doctrines about the object of belief and Cheonjigongsalon(天地公事論). This paper is willing to systematize the discussion of Qi in Daesoon(大巡) thought through researching Sangjeguan (上帝觀) and Cheonjigongsalon. The object of religious faith in Daesoonjinrihoe is Gucheon(九天)-yeungwon(應元)-noisung(雷聲)-bohwa(普化)-cheonjon(天尊)-gangsung(姜聖)-sangje(上帝) and Won(元) concept in the explanation of this divinity is deeply related to Wonqi(元氣) thought of the Oriental traditional Qi idea. And the theory of Qi(Qilon, 氣論) in Sangjeguan is related to electricity and the idea that the supreme God governs all things by electricity is the very original interpretation only found in Daesoon thought. The Qilon in Cheonjigongsalon is based on the Qilon of traditional thought that sees Qi is the element of all things and all thing are formed by the change of Qi. And the unique feature of the Qilon is saying that the supreme God, Cheungsan(甑山) operates Qi of universe and arouses the change of Qi. That is to say, God Cheungsan saved the world and all living beings by eliminating and giving and changing and moving and gathering and combining Qi. The characteristics of Qilon in Cheonjigongsalon is that the transcendental existence having human body has the control of the change of Qi in the universe. In conclusion, Qilon of Dasesoon thought tells that Gucheon-Sangje Chengsan governs all things by electricity and he fixed the old world and opened the new world like paradise by conducting the change of Qi.