• Communications of the Korean Mathematical Society
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• v.11 no.2
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• pp.377-383
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• 1996

For a given separable space X which contains no copy of $C_0$ and a weakly compact T, we show that a Dunford integrable function $f : [a,b] \to X$ is intrinsically-separable valued if and only if f is McShane integrable. Also, for a given separable space X which contains no copy of $C_0$, a weakly compact T and a Dunford integrable function f we show that if there exists a sequence $(f_n)$ of McShane integrable functions from [a,b] to X such that for each $x^* \in X^*, x^*f_n \to x^*f$ a.e., then f is McShane integrable. Finally, let X contain no copy of $C_0$. If $f : [a,b] \to X$ is McShane integrable, then F is a countably additive on $\sum$.

• Journal of the Korean Mathematical Society
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• v.36 no.4
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• pp.747-756
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• 1999

In ring theory it is well-known that a ring R is (von Neumann) regular if and only if all right R-modules are flat. But the analogous statement for this result does not hold for a monoid S. Hence, in sense of S-acts, Liu (]10]) showed that, as a weak analogue of this result, a monoid S is regular if and only if all left S-acts satisfying condition (E) ([6]) are flat. Moreover, Bulmann-Fleming ([6]) showed that x is a regular element of a monoid S iff the cyclic right S-act S/p(x, x2) is flat. In this paper, we show that the analogue of this result can be held for automata and them characterize regular semigroups by flat automata.

• Communications of the Korean Mathematical Society
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• v.37 no.1
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• pp.213-228
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• 2022

In the present paper, we aim to study Yamabe soliton and Riemann soliton on Lorentzian para-Sasakian manifold. First, we proved, if the scalar curvature of an 𝜂-Einstein Lorentzian para-Sasakian manifold M is constant, then either 𝜏 = n(n-1) or, 𝜏 = n-1. Also we constructed an example to justify this. Next, it is proved that, if a three dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton for V is an infinitesimal contact transformation and tr 𝜑 is constant, then the soliton is expanding. Also we proved that, suppose a 3-dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton, if tr 𝜑 is constant and scalar curvature 𝜏 is harmonic (i.e., ∆𝜏 = 0), then the soliton constant λ is always greater than zero with either 𝜏 = 2, or 𝜏 = 6, or λ = 6. Finally, we proved that, if an 𝜂-Einstein Lorentzian para-Sasakian manifold M represents a Riemann soliton for the potential vector field V has constant divergence then either, M is of constant curvature 1 or, V is a strict infinitesimal contact transformation.

• Communications of the Korean Mathematical Society
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• v.30 no.3
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• pp.313-325
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• 2015

An H-magic labeling in a H-decomposable graph G is a bijection $f:V(G){\cup}E(G){\rightarrow}\{1,2,{\cdots},p+q\}$ such that for every copy H in the decomposition, $\sum{_{{\upsilon}{\in}V(H)}}\;f(v)+\sum{_{e{\in}E(H)}}\;f(e)$ is constant. f is said to be H-V -super magic if f(V(G))={1,2,...,p}. In this paper, we prove that complete bipartite graphs $K_{n,n}$ are H-V -super magic decomposable where $$H{\sim_=}K_{1,n}$$ with $n{\geq}1$.

• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.409-421
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• 2018

Let X be a complex manifold of dimension n $n{\geqslant}2$ and let ${\Omega}{\Subset}X$ be a weakly q-convex domain with smooth boundary. Assume that E is a holomorphic line bundle over X and $E^{{\otimes}m}$ is the m-times tensor product of E for positive integer m. If there exists a strongly plurisubharmonic function on a neighborhood of $b{\Omega}$, then we solve the ${\bar{\partial}}$-problem with support condition in ${\Omega}$ for forms of type (r, s), $s{\geqslant}q$ with values in $E^{{\otimes}m}$. Moreover, the solvability of the ${\bar{\partial}}_b$-problem on boundaries of weakly q-convex domains with smooth boundary in $K{\ddot{a}}hler$ manifolds are given. Furthermore, we shall establish an extension theorem for the ${\bar{\partial}}_b$-closed forms.

• Journal of The Korean Astronomical Society
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• v.8 no.1
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• pp.29-34
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• 1975

Solar electrical conductivity has been calculated, making use of Yun and Wyller's formulation. The computed results arc presented in a tabulated form as functions of temperature and pressure for given magnetic field strengths. The results of the calculation show that the magnetic field does not play any important role in characterizing the electrical conductivity of the ionized gas when the gas pressure is relatively high (e.g., $P{\geq}10^4\;dynes/cm^2$). However, when the gas pressure is low (e.g., $P{\leq}10\;dynes/cm^2$), the magnetic field becomes very effective even if its field strength is quite small (e.g., $B{\leq}0.01$ gauss). It is also found that, except for lower temperature region (e.g., $T{\leq}10^{4^{\circ}}K$), there is a certain linear relationship in a log- log graph between the pressure and the critical magnetic field strength, which is defined as a field strength capable of reducing the non-magnetic component of the electrical conductivity by 20%.

• The Journal of Internal Korean Medicine
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• v.27 no.1
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• pp.27-39
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• 2006

Objectives : Induction of CYP2E1 by ethanol is believed to be one of the major mechanism by which ethanol generate a state of oxidative stress. Previous studies showed that treatment with Chungganhaeju-tang prevents hepatic inflammation and apoptosis in alcoholic liver disease. The purpose of our study is to determine if Chungganhaeju-tang can also protect against alcohol-induced cytotoxicity in CYP2E1-transfected HepG2 cells. Materials and Methods : CYP2E1-transfected HepG2 cells and control vector-transfected HepG2 cells were exposed for isx hours to Chungganhaeju-tang, and then 50 mM of ethanol was added and left for two days. Results : Ethanol significantly decreased cell viability in CYP2E1-transfected HepG2 cells and increased apoptosis. These alterations were attenuated by Chungganhaeju-tang. This was accompanied by an improvement of NF-${\kappa}B$ and Akt activation. Conclusion : These results suggest that Chungganhaeju-tang exerts inhibitory effect against the cytotoxicity induced by alcohol in CYP2E1-transfected HepG2 cells, and that this is a protective action due, at least in part, to an activation of NF-${\kappa}B$ that plays a key role in the protection mechanism, and in reducing hepatotoxic cytokine gene expression.

• Journal of the Korean Mathematical Society
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• v.51 no.5
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• pp.919-940
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• 2014

We conjecture that if $k{\geq}2$ is an integer and G is a graph of order n with minimum degree at least (n+2k)/2, then for any k independent edges $e_1$, ${\cdots}$, $e_k$ in G and for any integer partition $n=n_1+{\cdots}+n_k$ with $n_i{\geq}4(1{\leq}i{\leq}k)$, G has k disjoint cycles $C_1$, ${\cdots}$, $C_k$ of orders $n_1$, ${\cdots}$, $n_k$, respectively, such that $C_i$ passes through $e_i$ for all $1{\leq}i{\leq}k$. We show that this conjecture is true for the case k = 2. The minimum degree condition is sharp in general.

• The Journal of Korean Physical Therapy
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• v.31 no.2
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• pp.88-93
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• 2019

Purpose: The aim of the study was to develop a Korean version of an ICF e-Learning tool (KICF e-Learning tool). Methods: The process of translation and adaptation of the ICF e-Learning tool was followed: two translators developed the Korean versions independently, and a consensus version of the translation was then produced. An expert committee, which was composed of five experts from physiotherapy, occupational therapy, speech pathology, and social welfare, reviewed the consensus Korean version to make a beta version of the tool. A field test was conducted to determine if the Korean version of the tool was easy to understand and suitable to use in ICF learning. Feedback from the field test were used for the final adaptation of the KICF e-Learning tool. Results: One-hundred and twenty-six volunteers (40 males and 76 females) were invited to examine the KICF e-Learning tool. The participants reported various levels of ICF knowledge from none to very good. Forty-eight participants reported no knowledge of ICF. The majority of participants (n=84) reported that Korean terms or expression in the tool were easy to understand and one-hundred fourteen participants would recommend the tool to another person. The Korean cases would be helpful for a Korean audience to study the ICF using the tool. Conclusion: The KICF e-Learning tool was developed and is ready for use by the public for the consistency of ICF education. On the other hand, development of an advanced module will be needed.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.22 no.5
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• pp.538-544
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• 2011

This paper presents a compact single balanced diode mixer fabricated using a 0.1 ${\mu}M$ GaAs p-HEMT commercial process for an E-band frequency up/down converter. This mixer includes a LO balun employing a Marchand balun with a good RF performance. In order to improve the port-to-port isolation, a high pass filter and a low pass filter are include in this mixer at the RF and IF ports, respectively. The fabricated mixer with a very compact size of 0.58 mm2(0.85 mm${\times}$0.68 mm) exhibits a conversion loss of 8～12 dB and an input P1dB of 1～5 dBm at the LO power of 10 dBm from 71～86 GHz.