• Korean Journal of Mathematics
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• v.16 no.1
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• pp.1-24
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• 2008

Let $Lu=u_{tt}+u_{xxxx}$ and E be the complete normed space spanned by the eigenfunctions of L. We reveal the existence of six nontrivial solutions of a nonlinear suspension bridge equation $Lu+bu^+=1+{\epsilon}h(x,t)$ in E when the nonlinearity crosses three eigenvalues. It is shown by the critical point theory induced from the limit relative category of the torus with three holes and finite dimensional reduction method.

• Bulletin of the Korean Mathematical Society
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• v.40 no.1
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• pp.1-8
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• 2003

In this paper, we further develop the weak polygroup theory, we define quotient weak polygroup and then the fundamental homomorphism theorem of group theory is derived in the context of weak polygroups. Also, we consider the fundamental relation $\beta$$^{*}$ defined on a weak polygroup and define a functor from the category of all weak polygroups into the category of all fundamental groups.s.

• Honam Mathematical Journal
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• v.30 no.3
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• pp.443-468
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• 2008

We give a theorem of existence of six nontrivial solutions of the nonlinear Hamiltonian system $\.{z}$ = $J(H_z(t,z))$. For the proof of the theorem we use the critical point theory induced from the limit relative category of the torus with three holes and the finite dimensional reduction method.

• Journal of the Korean Society of Clothing and Textiles
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• v.16 no.4 s.44
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• pp.371-377
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• 1992

The purposes of the study were 1) to extend the cognitive categorization theory in an attempt to explain the of garment category, fashionability, and wearer's body types on impression formation, and 2) to find out structures of wearer's impressional dimension and wearer's professional image. The research included a quasi-experiment and survey. The experimental design was a $2^{3}$full factorial design of 3 independent variables. The experimental materials developed for the study were a set of stimuli and a response scale. The stimuli consisted of 8 drawings made by 3 independent variables (garment category, fashion level, wearer's body type). Result were as follows: 1) Garment category, fashionability and wearer's body type had significant effects on impression of the 5 factors-evaluation, potency, appearance, sociability and good-bad, with exception of wearer's body type which was nonsignificant to the potency factor. 2) Garment category was most effective on the evaluation and the potency. However wearer's body type was most effect on the appearance factor and fashionability variable was most effective on the good-bad factor. It was conclued that the results supported the cognitive categorization theory on impression formation and a cognitive categorization hypothesis of clothes.

• Journal of Korean Society of Transportation
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• v.28 no.4
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• pp.141-156
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• 2010

In this paper, understanding there is a limitation with a comprehensive and network approach for the evaluation of existing vehicle and pedestrian environments, the authors focus on developing an integrated approach to assessing these environments. The network evaluation here means the assessment at a three-dimensional level that includes evaluation methods of lines/axes in a spatial concept as well as integration of evaluation indicators being used for vehicles and the walking environment. Grey System Theory (GST) was applied based on the theoretical background for network and comprehensive integrated evaluation, and the evaluation of the vehicle and pedestrian environment was performed by assigning target areas to walking preference zones. As a result of the comprehensive evaluation and analysis by GST, even if the service level is the same as the operating indicators (Highway Capacity Manual) of the vehicle and pedestrian environment, or relatively better, it was identified that the total score could be varied over Grey Category because the observed data are calculated after considering the weights between evaluation indicators by the range of Grey Category on the comprehensive evaluation. Considering comprehensively these points, although the indicators on the operation of roads are relatively good, in the event that the indicators on the safety of roads are bad, it was known that the scores over Grey Category also could be changed. The result is that this evaluation method can be used to evaluate the network concept per lane (per axis) as well as to diagnose the current state by type of urban street in the future.

• Journal of Korean Medical classics
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• v.23 no.3
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• pp.81-101
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• 2010

The results of researching Jang's use of herb remedies through his book "Uihakchungjungchamseorok(醫學衷中參西錄)" are as follows. 1. Jang Seoksun's medicine is based on "Hwangjenaegyeong(黃帝內經)", "Sanghanron(傷寒論)", "Sinnongbonchogyeong(神農本草經)". And through constant study he brought to perfection his own unique medical theory. 2. He introduced Western medicine, and united it with traditional Chinese medicine. He perfected the Chinese-Western medical theory, by Chungjungchamseo(衷中參西) which means 'roots in traditional Chinese medicine, reference in Western medicine'. 3. He thought Onbyeong(溫病) was not an independent category of disease, but included it into the category of Sanghan(傷寒). So he used modified prescription of "Sanghanron(傷寒論)" to treat Onbyeong(溫病). 4. He expanded the category of remedy uses by using various compounds, such as minerals and animal compounds. He has also developed substitute remedies.

• Management Science and Financial Engineering
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• v.17 no.1
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• pp.1-18
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• 2011

The present study provides a theoretical investigation on pioneering advantage based on reference dependence and loss aversion effect under prospect theory (Kahneman and Tversky, 1979). Behavioral explanations for pioneering advantage are provided from two different perspectives: one based on the prototypicality and the other on the utility uncertainty of the option. A pioneer brand creates the product category and makes a strong impression in customers' mind, and thus becomes the most representative or prototypical option of the category. In addition, the pioneer brand becomes the first option to be experienced by the majority of consumers in the product category, thus has the lowest level of utility uncertainty compared with the late movers. This study integrates the previous accounts for pioneering advantage by showing that consumers have higher preferences for the most prototypical and the least uncertain option based on loss aversion and reference dependence effect. This study suggests that firms should carefully analyze the consumers' loss aversion and perceived uncertainty and prototypicality of their products in order to develop effective market entry strategies.

• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.671-682
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• 1999

Using a base-point free version of the infinite symmetric product we define a fibrewise infinite symmetric product for any fibration $E\;\longrightarrow\;B$. The construction works for any commutative ring R with unit and is denoted by $R_f(E)\;l\ongrightarrow\;B$. For any pointed space B let $G_I(B)\;\longrightarrow\;B$ be the i-th Ganea fibration. Defining $M_R-cat(B):= inf{i\midR_f(G_i(B))\longrihghtarrow\;B$ admits a section} we obtain an approximation to the Lusternik-Schnirelmann category of B which satisfies .g.a product formula. In particular, if B is a 1-connected rational space of finite rational type, then $M_Q$-cat(B) coincides with the well-known (purely algebraically defined) M-category of B which in fact is equal to cat (B) by a result of K.Hess. All the constructions more generally apply to the Ganea category of maps.

• Korean Journal of Mathematics
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• v.4 no.2
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• pp.163-171
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• 1996

We investigate change of the torsion tensor induced by the conformal change in 6-dimensional $g$-unified field theory. These topics will be studied for the second class with the second category in 6-dimensional case.

• Korean Journal of Mathematics
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• v.5 no.2
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• pp.141-149
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• 1997

We investigate chnage of the tensor $U^{\nu}{_{\lambda}{\mu}}$ induced by the conformal change in 6-dimensional $g$-unified field theory. These topics will be studied for the second class with the second category in 6-dimensional case.