• The Mathematical Education
• /
• v.26 no.1
• /
• pp.41-45
• /
• 1987

In this paper, we give several fixed point theorems in a complete metric space for two multi-valued mappings commuting with two single-valued mappings. In fact, our main theorems show the existence of solutions of functional equations f($\chi$)=g($\chi$)$\in$S$\chi$∩T$\chi$ and $\chi$=f($\chi$)=g($\chi$)$\in$S$\chi$∩T$\chi$ under certain conditions. We also answer an open question proposed by Rhoades-Singh-Kulsherestha. Throughout this paper, let (X, d) be a complete metric space. We shall follow the following notations : CL(X) = {A; A is a nonempty closed subset of X}, CB(X)={A; A is a nonempty closed and founded subset of X}, C(X)={A; A is a nonempty compact subset of X}, For each A, B$\in$CL(X) and $\varepsilon$>0, N($\varepsilon$, A) = {$\chi$$\in$X; d($\chi$, ${\alpha}$) < $\varepsilon$ for some ${\alpha}$$\in$A}, E$\sub$A, B/={$\varepsilon$ > 0; A⊂N($\varepsilon$ B) and B⊂N($\varepsilon$, A)}, and (equation omitted). Then H is called the generalized Hausdorff distance function fot CL(X) induced by a metric d and H defined CB(X) is said to be the Hausdorff metric induced by d. D($\chi$, A) will denote the ordinary distance between $\chi$$\in$X and a nonempty subset A of X. Let R$\^$+/ and II$\^$+/ denote the sets of nonnegative real numbers and positive integers, respectively, and G the family of functions ${\Phi}$ from (R$\^$+/)$\^$s/ into R$\^$+/ satisfying the following conditions: (1) ${\Phi}$ is nondecreasing and upper semicontinuous in each coordinate variable, and (2) for each t>0, $\psi$(t)=max{$\psi$(t, 0, 0, t, t), ${\Phi}$(t, t, t, 2t, 0), ${\Phi}$(0, t, 0, 0, t)} $\psi$: R$\^$+/ \longrightarrow R$\^$+/ is a nondecreasing upper semicontinuous function from the right. Before sating and proving our main theorems, we give the following lemmas:

• Analytical Science and Technology
• /
• v.26 no.1
• /
• pp.73-79
• /
• 2013

The allyl isothiocyanate, capsaicin and dihydrocapsaicin as main components in self defense sprays were determined by gas chromatography-mass spectrometer (GC-MS). Although self defense spray was used to protect by myself, a social problem could be caused by the hazard of spray chemical due to use pungent liquid. To identify this, the pH of pungent liquid solutions, solubility to detergents, the existence of other materials and the types and amounts of pungent material in spray chemicals were investigated in this work. Finally, the amounts of allyl isothiocyanate, capsaicin and dihydrocapsaicin as pungent materials in them were determined by GC-MS. The pH of chemicals were about 5.7 as weak acid, the detergents can emulsify them with water well. And they did not contain fluorescent materials and hazard organic solvents. The pungent components in three real samples were only allyl isothiocyanate [47,600 mg/kg (47.6%)] in one sample, and mixtures with capsaicin [228 mg/kg~368 mg/kg (1.14%~1.84%)] and dihydrocapsaicin [224 mg/kg~414 mg/kg (1.12%~2.07%)] in the others, respectively.

• Journal of the Korean Institute of Telematics and Electronics A
• /
• v.29A no.1
• /
• pp.33-40
• /
• 1992

Several etching phenomena were observed and analyzed in diaphragm process performed on 4-inch (100) Si wafers for sensor application. In case of deep etching to above 300$\mu$m depth, the etch-defects appeared at etched surface could be classified into three categories such as hillocks, reaction products, and white residues. It was known that the hillock had a pyramidal shape or trapizoidal hexahedron structure depending on the density and size of the reaction products. The IR spectra showed that the white residue, which was due to the local over-saturation of Si dissolved in solution, was mostly Si-N-O compounds mixed with a small amount of H and C etc. Also, the difference in both the existence of etch-defects and etch rate distribution over a whole wafer was investigated when the etched surfaces were downward, upward horizontally and erective in etching solutions. The obtained data were analyzed through flow pattern in the etching bath. As the results, the downward and erective postures were favorable in the etch rate uniformity and the etch-defect removal, respectively.

• Journal of Satellite, Information and Communications
• /
• v.2 no.2
• /
• pp.53-58
• /
• 2007

The Satellite Mobile Communication System holds several advantages, such as wide coverage that guarantees the communication in a huge area. It is suitable in the ocean and forest and especially in emergency situation. However, the licensed frequency is not always occupied within all coverage and all the time. The actual utilization rate is relatively low compared to other wireless communications such as cellular systems. There are a large amount of white spaces in its coverage. Therefore, it is necessary to consider introducing additional services such as data communication, in order to increase the spectrum utilization as well as the revenue of the Satellite service provider. In this paper, we first analyze the possibility to implement new services in the licensed band of satellite mobile phone by its provider. Then we address the most significant issue for the implementation of current service, which is how to accurately detect the satellite mobile terminals. Finally, we suggest two new possible solutions namely, eigenvalue detection based methods to find out the existence of transmitted signal from the satellite mobile terminals.

• Korean journal of communication and information
• /
• v.80
• /
• pp.224-253
• /
• 2016

In this study, we analyzed the television news frames related to private school irregularities. Television broadcasting stations have not dealt with underlying problems of private school irregularities, but their reporting have been focused more on stating the situations. While Public announcing frame, Interference and solutions frame, Moral hazard frame and Protests and strikes frame have been applied in reporting, Autonomy highlighted frame and Publicity highlighted frame which are fundamental to the existence of private schools hardly appeared. In particular, the adhesion between private schools and political power has been continuously pointed out to be a cause of raising problems, whereas articles with such perspectives were hard to find. As a result, television broadcasting stations are required to change the way in reporting of private school irregularities in order for a lively discussion about them as the social agenda.

• Journal of applied mathematics & informatics
• /
• v.30 no.1_2
• /
• pp.161-171
• /
• 2012

We consider the fourth-order differential equation with one-dimensional $p$-Laplacian (${\phi}_p(x^{\prime\prime}(t)))^{\prime\prime}=f(t,x(t),x^{\prime}(t),x^{\prime\prime}(t)$) a.e. $t{\in}[0,1]$, subject to the boundary conditions $x^{\prime\prime}}(0)=0$, $({\phi}_p(x^{\prime\prime}(t)))^{\prime}{\mid}_{t=0}=0$, $x(0)={\sum}_{i=1}^n{\mu}_ix({\xi}_i)$, $x(t)=x(1-t)$, $t{\in}[0,1]$, where ${\phi}_p(s)={\mid}s{\mid}^{p-2}s$, $p$ > 1, 0 < ${\xi}_1$ < ${\xi}_2$ < ${\cdots}$ < ${\xi}_n$ < $\frac{1}{2}$, ${\mu}_i{\in}\mathbb{R}$, $i=1$, 2, ${\cdots}$, $n$, ${\sum}_{i=1}^n{\mu}_i=1$ and $f:[0,1]{\times}\mathbb{R}^3{\rightarrow}\mathbb{R}$ is a $L^1$-Carath$\acute{e}$odory function with $f(t,u,v,w)=f(1-t,u,-v,w)$ for $(t,u,v,w){\in}[0,1]{\times}\mathbb{R}^3$. We obtain the existence of at least one nonconstant symmetric solution by applying an extension of Mawhin's continuation theorem due to Ge. Furthermore, an example is given to illustrate the results.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.30 no.11B
• /
• pp.689-697
• /
• 2005

The IETF has created the v6ops Working Group to assist IPv6 transition and propose technical solutions to achieve it. But it's quite problem which security consideration for a stage of IPv4/IPv6 transition and co-existence. There are new security problem threat that it caused by the characteristics of heterogeneity. In this paper, we describe IPv6 transition mechanisms and analyze security problem for IPv6 transition mechanism. also we propose security consideration and new security mechanism. We analyzed DoS and DRDoS in 6to4 environment and presented a address sanity check as a solution. We also showed an attack of address exhaustion in address allocation server. To solve this problem, we proposed challenge-response mechanism in DSTM.

• Communications for Statistical Applications and Methods
• /
• v.16 no.1
• /
• pp.115-125
• /
• 2009

Simultaneous equation models, which are widely used in business and economic areas, generally consist of endogenous variables determined within models and exogenous variables externally determined and in the simultaneous equations model framework there are rank and order conditions for the model identification and the existence of unique solutions. By contrast, their estimating results have less efficiencies and furthermore do not exist, since the most estimating procedures are performed under the assumptions for rank and order conditions. We propose the new statistical test for sufficiency of the rank condition under the order condition, and show the asymptotic properties for the test. The Monte Carlo simulation studies are achieved in order to evaluate its power and to suggest the baseline for satisfying the rank conditions.

• KIEAE Journal
• /
• v.16 no.5
• /
• pp.47-55
• /
• 2016

Purpose: As the energy consumed by buildings increases, there is a growing need for studies and technology development to address this issue. One of the solutions to excessive energy use by buildings is the light-shelf, which is a natural lighting system enabling efficient reduction in light energy, and research in this area has been intensive. However, most of the studies about the light-shelf are limited to the light environment, and thus the application of their findings to an actual environment in the form of a design may be problematic. Therefore, the purpose of the present study is to provide fundamental data for light-shelf design by carrying out a light-shelf performance evaluation on the basis of the light environment and the heating and cooling environment. Method: In the present study, a testbed was established to conduct a light-shelf performance evaluation by measuring the electric power consumption of lighting and heating and cooling devices depending on the existence of a light-shelf and its angle. Result: The findings of the present study are as follows: 1) With respect to the uniformity of the indoor light environment amenity, the optimum angle of a light-shelf was found to be $30^{\circ}$ for the summer solstice and the winter solstice. 2) With respect to the reduction of electric power consumption by indoor lighting devices, the optimum light-shelf angle at the summer solstice is $30^{\circ}$, at which time electric power consumption may be reduced by 10.2% in comparison with when no light-shelf is applied. However, at the winter solstice, a light-shelf may increase the energy consumption for lighting in comparison with when no light-shelf is applied, and this should be taken into account in the design of a light-shelf. 3) In terms of reducing the electric power consumption of heating and cooling devices, the optimum angle of a light-shelf was found to be $30^{\circ}$ for the summer solstice, while a light-shelf is inappropriate for the winter solstice since a light-shelf creates shade and thus increases the heating energy consumption. 4) To summarize the findings above, the optimum angle of a light-shelf is $30^{\circ}$ for the summer solstice, but the installation of a light-shelf may in some circumstances increase the energy consumed by lighting devices as well as by heating and cooling devices. Therefore, more studies and technology development may need to be performed to solve the problem of increased energy consumption at the winter solstice.

• Journal of the Daesoon Academy of Sciences
• /
• v.25_2
• /
• pp.1-43
• /
• 2015

Daesoonjinrihoe perceives that human suffering is caused not only by mental factors but also by the cosmic principle of Mutual Overcoming more fundamentally. The relationship influenced among all things in the universe is Mutual Beneficence and Mutual Overcoming. If these relations are properly cooperated in harmony, all things will reveal their energetic existence in a balanced state, however, if one side, particularly, Mutual Overcoming becomes excessive, indeed, it will cause trouble. That is, the sentient beings that are inclined to excessive Mutual Overcoming rather than indispensable Mutual Overcoming make grievances among themselves and cumulate them. In the end, heaven and earth lose its constant Way[常道], leading the sentient beings to all kinds of agonies. However, it may be a problem if every agony is depicted with Mutual Overcoming, that is, one single fixed frame, because Mutual Overcoming has to be interpreted diversely according to the circumstances. Thus, it is not possible to explain precisely about the agony if not understanding its spectrum. This study analyzed the ways how Daesoonjinrihoe explains the aspects of reasons and solutions to a variety of agonies. In the Supreme Scripture of Daesoonjinrihoe, the reasons for agony vary: first, it is caused by Mutual Overcoming of the cosmos itself, which is irrelevant to human beings. Secondly, man can be victimized because of Mutual Overcoming caused by man. Thirdly, there is a case of a victim who is damaged due to Mutual Overcoming caused by the other. Fourthly, man can be victimized because of Mutual Overcoming caused by someone else's unintended deeds. Fifthly, there is a case of man having agony in return when he, as a perpetrator, hurt others or resolve his inappropriate desires. Sixthly, man's deed unintendedly became a sin and have agony in return. Seventhly, man can be a self-perpetrator, conceiving vain desire, obsession and grievance. Eightly, there is a case of man having agony during enforcement of the law or practice of justice. Ninthly, man needs to endure agony during self-cultivation, enacting Reordering of the Universe(天地公事), ritual practice, promotion of fortune, and test. However, it is important to make sure that the reason for agony can interact with not only one but also diverse models in real situation. These nine models are included in the category of Mutual Overcoming; but, these cannot be classified in a single term, Mutual Overcoming because much information will be hidden, only to make it difficult to explain about agony more precisely. There are some characteristic observed in the concept of agony in Daesoonjinrihoe as follows: first, reasons for agony are caused by Mutual Overcoming although Mutual Overcoming can be interpreted differently according to the circumstances. Secondly, Daesoonjinrihoe makes a positive valuation for some agony. Thirdly, the solution to overcome a agony is brought to a conclusion, that is cultivation practice of Daesoonjinrihoe. Fourthly, the experience of agony and solution in Daesoonjinrihoe sometimes lie in the unit of family beyond individual. Fifthly, in the painful situation resulted from vain desire and obsession, Daesoonjinrihoe suggests a solution called Mutual Beneficence. That is, it emphasizes not only self-control but also active practice of considering others.