• Bulletin of the Korean Mathematical Society
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• v.60 no.2
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• pp.495-505
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• 2023

In this note, we study a comparison principle for elliptic obstacle problems of p-Laplacian type with L¹-data. As a consequence, we improve some known regularity results for obstacle problems with zero Dirichlet boundary conditions.

• Advances in materials Research
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• v.4 no.1
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• pp.31-44
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• 2015

This paper presents a simple n-order four variable refined theory for buckling analysis of functionally graded plates. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, does not require shear correction factor, and eliminates the shear stresses at the top and bottom surfaces. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present n-order refined theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.

• IE interfaces
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• v.13 no.4
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• pp.738-744
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• 2000

This Paper presents a method for unfinished work transition probability distribution of modulated $n^*D/D/l$ queue with overload period. The Modulated $n^*D/D/l$ queue is well known as a performance analysis model of ATM multiplexer with superposition of homogeneous periodic on-off traffic sources. Theory of probability by conditioning and results of $N^*D/D/l$ queue are used for analytic methodology. The results from this paper are expected to be applied to general modulated $n^*D/D/l$ queue.

• The Transactions of The Korean Institute of Electrical Engineers
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• v.57 no.1
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• pp.1-7
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• 2008

In this paper, we proposed the method judging whether transmission system is radial system or loop system using simple set theory. And we proposed the method judging whether power device's operation causes of blackout or not. Using proposed method, we developed automatic judgement system of radial system for preventing power device's wrong control in SCADA. Finally, we simulated a variety of case study using SCADA simulator with developed system, and verified reliability of the result and performance of developed system.

• The Journal of Dong Guk Oriental Medicine
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• v.7 no.1
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• pp.1-32
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• 1998

I found following idea, as a result of researching his Science idea, mainly, by translation of the "$Zh\bar{a}ng$ xi $ch\acute{u}n$ $Xu\acute{e}$ $Sh\acute{u}$ ssu $hsi\acute{a}ng$ "(張錫純 學術硏究). $Zh\bar{a}ng$ xi $ch\acute{u}n$ regarded $ch\tilde{u}ng$ $ch\bar{u}ng$ $ts'\bar{a}n$ $hs\bar{l}$' (衷中參西) as the core idea of The Chinese-Western medical combination. He didn't segregate philosophy of the West from One of the Orient. He persued to harmonize each other and thought that the Western medicint theory is included in the Chinese one in many parts. besides, He recognized that it is bad to reject each other, for the medical science's purpose is to save a life, and united The Chinese-Western medicine theory, by $ch\acute{u}ng$ $ch\tilde{u}ng$ $ch\bar{u}ng$ $ts'\bar{a}n$ $hs\bar{l}$'(衷中參西) idea which refers to consult the Western medicine on the basis of the Chinese one. Medical basic theory of $Zh\bar{a}ng$ xi $ch\acute{u}n$ brought up new views of the theory : Dae-gi(大氣), gi-Hwa(氣化) theory, Nongangubgan byung juing chi(論肝及肝病證治), Eum her chijung ja bi(陰虛治重滋脾). Lim Sangeung yong(臨床應用) of Hyul Her gub(血虛及)-Hwal Hyul Hwa $\breve{u}$ bub(活血化瘀法), on the basis of classics, such as, "$N\breve{e}i$ Ching"(內經), "Chin Kue $\breve{i}$ $y\bar{a}o$ $l\ddot{u}{\bar{e}}h$, "Shen $n\acute{u}ng$ $p\breve{e}n$ $t\acute{s}{\check{a}}o$ ching"(新農本草經) etc. I'll sum up $Zh\bar{a}ng$ xi $ch\acute{u}n's$ clinical idea now He unified Sang Han(像寒)-On Byung(溫病) with Yuk Kyung Byung Jung(六經辨證) and It was noticiable to utilize a kinds of Baek Ho Tang(白虎湯). He gave a detailed description about a method of grasp the symptoms of the cause of the internal medicine diseases and pathology and, he left abundant views of theory about using remedy and experience of clinic.

• Bulletin of the Korean Mathematical Society
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• v.33 no.1
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• pp.29-33
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• 1996

In this paper we shall generalize a Clary theorem by using the local spectral theory; If $ T \in L(H)$ has property $(\beta)$ and A is any operator such that $A \prec T$, then $\sigma(T) \subseteq \sigma(A)$.

• Honam Mathematical Journal
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• v.40 no.1
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• pp.27-46
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• 2018

In this paper, (E, L)-preproximity and uniformity spaces in matriod theory as a generalized to a classical proximity and Uniformity spaces introduced by Csaszar [1] is introduced. Recently, Shi [17]-[18] introduced a new approach to the fuzzification of matroids.Here introduce (E, L)-preproximity and uniformity spaces, Uniformity and strong uniformity on (E, L)-fuzzifying matroid space, Not only study the properties of this new notions, but it has been generated (E, L)-fuzzifying matroid Space from (E, L)-preproximity and uniformity spaces. Next to introduced (E, L)-preproximity continuous in (E, L)-fuzzifying matroid space and used it in more properties. Finally we solve combinatorial optimizations problem via (E, L)-fuzzifying matroid space.

• Journal of the Korean Mathematical Society
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• v.31 no.4
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• pp.659-667
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• 1994

Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ be the algebra of all bounded linear operators on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $I_H$ and is closed in the ultraweak operator topology on $L(H)$. Note that the ultraweak operator topology coincides with the weak topology on $L(H) (cf. [6]). Several functional analysists have studied the problem of solving systems of simultaneous equations in the predual of a dual algebra (cf. [3]). This theory is applied to the study of invariant subspaces and dilation theory, which are deeply related to the classes $A_{m,n}$ (that will be defined below) (cf. [3]). An abstract geometric criterion for dual algebras with property $(A_{\aleph_0}, {\aleph_0})$ was first given in [1].

• Journal of the Korean Mathematical Society
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• v.57 no.1
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• pp.21-59
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• 2020

Let L_K denote the hypothetical automorphic Langlands group of a number field K. In our recent study, we briefly introduced a certain unconditional non-commutative topological group ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$, called the Weil-Arthur idèle group of K, which, assuming the existence of L_K, comes equipped with a natural topological group homomorphism $NR{\frac{\varphi}{K}^{Langlands}}$ : ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ → L_K that we called the "Langlands form" of the global nonabelian norm-residue symbol of K. In this work, we present a detailed construction of ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ and $NR{\frac{\varphi}{K}^{Langlands}}$ : ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ → L_K, and discuss their basic properties.

• Journal of the Korean Mathematical Society
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• v.37 no.3
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• pp.371-389
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• 2000

Working within classical distribution theory, we develop notions of multiplication and convolution for tempered distributions which are general enough to encompass the classical cases -such as pointwise multiplication of continuous functions or the convolution of $L^1$ functions- which most textbook treatments of distribution theory leave out. Pains are taken to develop a theory which satisfies the commutative and asociative laws.