• Journal of applied mathematics & informatics
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• v.37 no.5_6
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• pp.341-349
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• 2019

This paper is concerned to investigate M-Wright function, which was earlier known as transcendental function of the Wright type. M-Wright function is a special case of the Wright function given by British mathematician (E.Maitland Wright) in 1933. We have explored the cosequences of Riemann-Liouville Integral and Differential operators on M-Wright function. We have also evaluated integral transforms of the M-Wright function.

• Journal of the Korean Geographical Society
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• v.29 no.3
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• pp.281-296
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• 1994

It is generally accepted that there is always a potential for crisis in the capitalist society because of the internal contradiction of capitalism. The contradiction is explicitly and implicitly expressed in space. The fundamental contradiction in capitalism, however, is controlled and mediated by the state (i.e., the capitalist state). We thus could argue that the state plays an important role in the capitalist society and in the capitalist spatial formation. It is necessary to note how and why spatial structure has developed unevenly in capitalist societies, particularly in the U.S., The general concept of uneven geographical development is understood in the context of the capitalist economic system and the role of the state. But the problem is that the capitalist state itself has a contradiction between the productive function (i.e., accumulation function) and the reproductive function (i.e., legitimation function). The compromise of the two functions is always the dilemma of the state and the state becomes the object of class struggle (e.g., political class struggle) . The research questions are as follows. First, what is the role of the state in the economic structure and what is the internal problem of the state\ulcorner Second, what is the role of the state in space economy (or in spatial structure)\ulcorner And last, what is the relation between the federal state and the local state in the U.S. and how does the relation form the urban policies and thus the urban and regional development\ulcorner The paper will be looking at how the political economy in the U.S. explains unevenly developed geographical phenomenon.

• Journal of applied mathematics & informatics
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• v.24 no.1_2
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• pp.357-366
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• 2007

Let G(V, E) be a simple graph, and let f be an integer function on V with $1{\leq}f(v){\leq}d(v)$ to each vertex $v{\in}V$. An f-edge cover-coloring of a graph G is a coloring of edge set E such that each color appears at each vertex $v{\in}V$ at least f(v) times. The f-edge cover chromatic index of G, denoted by ${\chi}'_{fc}(G)$, is the maximum number of colors such that an f-edge cover-coloring of G exists. Any simple graph G has an f-edge cover chromatic index equal to ${\delta}_f\;or\;{\delta}_f-1,\;where\;{\delta}_f{=}^{min}_{v{\in}V}\{\lfloor\frac{d(v)}{f(v)}\rfloor\}$. Let G be a connected and not complete graph with ${\chi}'_{fc}(G)={\delta}_f-1$, if for each $u,\;v{\in}V\;and\;e=uv{\nin}E$, we have ${\chi}'_{fc}(G+e)>{\chi}'_{fc}(G)$, then G is called an f-edge covered critical graph. In this paper, some properties on f-edge covered critical graph are discussed. It is proved that if G is an f-edge covered critical graph, then for each $u,\;v{\in}V\;and\;e=uv{\nin}E$ there exists $w{\in}\{u,v\}\;with\;d(w)\leq{\delta}_f(f(w)+1)-2$ such that w is adjacent to at least $d(w)-{\delta}_f+1$ vertices which are all ${\delta}_f-vertex$ in G.

• Proceedings of the Korean Vacuum Society Conference
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• 2016.02a
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• pp.265.1-265.1
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• 2016

여러 application에 적용하기 위하여 p-type SnO 박막과 전극 간의 접촉 저항을 분석이 필요하였다. 이를 Transmission Line Method(TLM) 패턴 소자를 제작한 후 전기적 특성을 분석함으로써 알 수 있었다. $Si/SiO_2$ 기판에 Reactive Magnetron Sputtering법을 이용하여 c축 우선 배향된 SnO를 100nm 증착하고 photolithography 공정을 통해 전극을 패턴화하여 100nm 두께로 증착하였다. 전극 간 거리는 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, $1024{\mu}m$로 각각 2배씩 증가하는 패턴이고 폭 W는 $300{\mu}m$ 이다. p-type SnO 의 경우, work function이 4.8eV이기 때문에 전극과 ohmic contact이 되기 위해서는 4.8eV보다 높은 work function 값을 가지는 전극이 필요하였다. 이 조건과 맞는 후보로 Ni(5.15eV), ITO(5.3eV)를 설정한 후 소자를 제작하였다. 제작된 소자는 열처리 하지 않은 소자와 Rapid Thermal Annealing(RTA) 장비에서 $100^{\circ}C$, $200^{\circ}C$, $300^{\circ}C$에서 각각 1분씩 열처리한 소자의 특성을 분석하였다. 열처리 하지 않은 소자의 경우 Ni 전극의 specific contact resistance는 $3.42E-2{\Omega}$의 값을 나타내었고, ITO의 경우 $3.62E-2{\Omega}$값을 나타내었다.

• Journal of the Korean Society for information Management
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• v.6 no.1
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• pp.3-14
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• 1989

The purpose of t h i s paper i s to i n v e s t i g a t e the development of academic magazines and i t s Charac t e r i s t ~ c s i n o r d e r to determine i t s function a s a means of p r e s e n t i n g t h e i r r e s u l t s of reasearch in Korea.

• Bulletin of the Korean Mathematical Society
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• v.46 no.5
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• pp.1013-1018
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• 2009

Let * be an e.a.b. star operation on an integrally closed domain D, and let $K\gamma$(D, *) be the Kronecker function ring of D. We show that if D is a P*MD, then the mapping $D_{\alpha}{\mapsto}K{\gamma}(D_{\alpha},\;{\upsilon})$ is a bijection from the set {$D_{\alpha}$} of *-linked overrings of D into the set of overrings of $K{\gamma}(D,\;{\upsilon})$. This is a generalization of [5, Proposition 32.19] that if D is a Pr$\ddot{u}$fer domain, then the mapping $D_{\alpha}{\mapsto}K_{\gamma}(D_{\alpha},\;b)$ is a one-to-one mapping from the set {$D_{\alpha}$} of overrings of D onto the set of overrings of $K_{\gamma}$(D, b).

• Kyungpook Mathematical Journal
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• v.61 no.3
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• pp.661-669
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• 2021

For a simple, undirected graph G = (V, E), a perfect Roman dominating function (PRDF) f : V → {0, 1, 2} has the property that, every vertex u with f(u) = 0 is adjacent to exactly one vertex v for which f(v) = 2. The weight of a PRDF is the sum f(V) = ∑_v∈V f(v). The minimum weight of a PRDF is called the perfect Roman domination number, denoted by γ_R^P(G). Given a graph G and a positive integer k, the PRDF problem is to check whether G has a perfect Roman dominating function of weight at most k. In this paper, we first investigate the complexity of PRDF problem for some subclasses of bipartite graphs namely, star convex bipartite graphs and comb convex bipartite graphs. Then we show that PRDF problem is linear time solvable for bounded tree-width graphs, chain graphs and threshold graphs, a subclass of split graphs.

• Journal of the Korean Mathematical Society
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• v.57 no.2
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• pp.331-357
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• 2020

Let p be an analytic function defined on the open unit disk 𝔻. We obtain certain differential subordination implications such as ψ(p) := p^λ(z)(α+βp(z)+γ/p(z)+δzp'(z)/p^j(z)) ≺ h(z) (j = 1, 2) implies p ≺ q, where h is given by ψ(q) and q belongs to 𝒫, by finding the conditions on α, β, γ, δ and λ. Further as an application of our derived results, we obtain sufficient conditions for normalized analytic function f to belong to various subclasses of starlike functions, or to satisfy |log(zf'(z)/f(z))| < 1, |(zf'(z)/f(z))² - 1| < 1 and zf'(z)/f(z) lying in the parabolic region v² < 2u - 1.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 1995.05a
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• pp.50-53
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• 1995

In this paper we have obtained property by considering the change of optical energy gap as a function of photo-does for exposing photo on Ag/a-Se$\sub$75/Ge$\sub$25/ thin films. This U-type property was obsered for all photo-exposing except for blu-pass filtered Hg lamep. Expecially, very large band shift(~0.3[eV]) is obtained by exposing He-Ne laser (6328[${\AA}$]). It is impossible to explain this property for exposing He-Ne and semiconductor laser through DWP model, which was explained for photo-exposing above the energy gap. Therefore we suggest a new modified model of DWP model for Ag/a-Se$\sub$75/Ge$\sub$25/ bilayer thin films.

• Communications of the Korean Mathematical Society
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• v.9 no.3
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• pp.547-564
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• 1994

Let X be a real Banach space. We consider the existence of solutions of the abstract nonlinear functional evolution equation : $$ (E) \frac{du(t)}{dt} + A(t)u(t) + F(u)(t) \ni h(t), $$ $$ u(s) = x_o \in D(A(s)), 0 \leq s \leq t \leq T, $$ where u : $[s, T] \to x$ is an unknown function, ${A(t) : 0 \leq t \leq T}$ is a given family of nonlinear (possibly multivalued) operators in X, and $F : C([s, t];X) \to L^{\infty}([s, X];X)$ and $h : [s, T] \to X$ are given functions.