• Journal of the Korean Mathematical Society
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• v.43 no.5
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• pp.991-1018
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• 2006

Hypermaps are cellular embeddings of hypergraphs in compact and connected surfaces, and are a generalisation of maps, that is, 2-cellular decompositions of closed surfaces. There is a well known correspondence between hypermaps and co-compact subgroups of the free product $\Delta=C_2*C_2*C_2$. In this correspondence, hypermaps correspond to conjugacy classes of subgroups of $\Delta$, and hypermap coverings to subgroup inclusions. Towards the end of [9] the authors studied regular hypermaps with extra symmetries, namely, G-symmetric regular hypermaps for any subgroup G of the outer automorphism Out$(\Delta)$ of the triangle group $\Delta$. This can be viewed as an extension of the theory of regularity. In this paper we move in the opposite direction and restrict regularity to normal subgroups $\Theta$ of $\Delta$ of finite index. This generalises the notion of regularity to some non-regular objects.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.20 no.44
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• pp.61-68
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• 1997

The algorithm of customer demand decomposition suggested by this study is a reconstruction method of distribution network under the allowance of same level supply. Regional distribution center(RDC) distributes additional inventories of some of the supplying items to retailers under its charge to reduce the time needed for emergency delivery to neighborhood retailer where backlog happened. This also restrict the purpose of the inventories held by RDC as only regular supply. All of which leads to the creation of more realistic method allowing the affiliation of closing related RDC with one in the vicinity. In this study, the role of RDC is restricted only as supplying items regularity and the conruction of distribution system processing through the closing by consideration of the possibility of supplying retailers from the RDC in the vicinity is discussed.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.859-866
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• 1999

In Eucliden k-space the cone of vectors x=($\chi$1, $\chi$2, ...,$\chi$k) satisfying $\chi$1$\leq$$\chi$ 2, $\leq$...$\leq$$\chi$k and {{{{ SUM { }`_{j } ^{k } }}= 1 $\chi$j=0 is generated by the vectors vj=(j-k,...j-k...j) having j-k's in its first j coordinates and j's for the remaining k-j coordinates for 1$\leq$j$\leq$i

• Journal of Mechanical Science and Technology
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• v.15 no.2
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• pp.192-198
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• 2001

We consider an interpolation problem with nonuniform rational B-spline curves given ordered data points. The existing approaches assume that weight for each point is available. But, it is not the case in practical applications. Schneider suggested a method which interpolates data points by automatically determining the weight of each control point. However, a drawback of Schneiders approach is that there is no guarantee of avoiding undesired poles; avoiding negative weights. Based on a quadratic programming technique, we use the weights of the control points for interpolating additional data. The weights are restricted to appropriate intervals; this guarantees the regularity of the interpolating curve. In a addition, a knot placement is proposed for pleasing interpolation. In comparison with integral B-spline interpolation, the proposed scheme leads to B-spline curves with fewer control points.

• Journal of architectural history
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• v.3 no.1
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• pp.101-122
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• 1994

This paper is one of the sequels from 'A Survey of Villages and Dwellings of Korean Immigrants in the North-Eastern Part of China'. It is the result of the extensive survey of Ch'ang-ts'ai-tsun village and covers several architectural characteristics of the dwellings. This paper alma to identify the 'double file' dwelling type, which is believed as one of the main stream of Korean folk dwelling. In this type, 'Chung-ju-kan' forms the central open space, where main household functions are carried out. This type originates from climatic reasons and functional reasons as well. This paper also aims to clarify how the dwelling forms are changed according to the life styles of various periods. The Korean immigrants in this village have experienced rapid changes in modern times like other Chinese. Through various political movements, the original dwelling type of this village has changed to adapt various needs and functions, which shows the simple truth : dwelling form changes according to the changes of life style and social structure. In this paper the directions of chimney through various periods are analyzed to verify the differences of the house layout methods and concepts of the time. The village had grown through 3 main periods before liberation period(1946), communization period(1946 - 1966) and contemporary period (1967 - ). It is concluded as follows: 1. The village was originated in late 19th century along the east-west street, which was a major routes of Korean Immigrants to China. In this area there was no regularity in its site plan. The direction of chimney, which was usually westward, was not determined according to the location of gate. This type was kept until liberization of this area, 1946. The plans of dwellings followed Ham-kyong-do 'double file' dwelling type, '6-kan dwelling' or '8-kan dwelling'. 2. The 'New Village' area, which was formed in the communization period, has a strict regularity in its site plan. The direction of chimney was determined as opposite direction of the gate. This method was maintained until 1976, when Mao died and new 'open' policy was held by Chinese government. In this area the 'dwelling house' plan type was not changed, but its layout and size were restricted. The general form of the dwelling in this village was shaped in this period. 3. The contemporary dwellings were built in random site location. The dwelling type was changed because of the reduction of family size and the permissin of private ownership. The number of rooms was reduced but the storage rooms and domestic animal hutches were added. But the 'Chung-ju-kan', the major chacteristics of north-eastern Korea dwelling is still kept. It becomes one large 'Chtin-ju-kan' room like 'open plan' type.

• The Journal of the Acoustical Society of Korea
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• v.13 no.2E
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• pp.20-25
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• 1994

The major drawback to the Code Excited Linear Prediction(CELP) type vocoders is their large computational requirements. In this paper, a simple method is proposed to reduce the pitch searching time in the pitch filter almost without degradation of quality. Bease upon the observational regularity of the correlation function of speech, the searching range can be restricted to the positive side in pitch search. This is done by skipping the negative side with the width which is estimated from the previous positive envelope. In addition to that, the maximum number of available lags can be limited by the threshold, $L_T$, which is set on 58 empirically. So, only the limited numbers of lags are considered in pitch search, which is less than a half of that of the full search method. By using the proposed method in pitch search, its required computations are greatly reduced. Experimental result shows 51% time reduction almost without lowering the speech quality in segmental SNR measure.

• Journal of the Korean Mathematical Society
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• v.54 no.5
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• pp.1483-1504
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• 2017

We consider weak solutions of the instationary Navier-Stokes system in a smooth bounded domain ${\Omega}{\subset}{\mathbb{R}}^3$ with initial value $u_0{\in}L^2_{\sigma}({\Omega})$. It is known that a weak solution is a local strong solution in the sense of Serrin if $u_0$ satisfies the optimal initial value condition $u_0{\in}B^{-1+3/q}_{q,s_q}$ with Serrin exponents $s_q$ > 2, q > 3 such that ${\frac{2}{s_q}}+{\frac{3}{q}}=1$. This result has recently been generalized by the authors to weighted Serrin conditions such that u is contained in the weighted Serrin class ${{\int}_0^T}({\tau}^{\alpha}{\parallel}u({\tau}){\parallel}_q)^s$ $d{\tau}$ < ${\infty}$ with ${\frac{2}{s}}+{\frac{3}{q}}=1-2{\alpha}$, 0 < ${\alpha}$ < ${\frac{1}{2}}$. This regularity is guaranteed if and only if $u_0$ is contained in the Besov space $B^{-1+3/q}_{q,s}$. In this article we consider the limit case of initial values in the Besov space $B^{-1+3/q}_{q,{\infty}}$ and in its subspace ${{\circ}\atop{B}}^{-1+3/q}_{q,{\infty}}$ based on the continuous interpolation functor. Special emphasis is put on questions of uniqueness within the class of weak solutions.

• Korean Institute of Interior Design Journal
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• v.16 no.6
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• pp.250-257
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• 2007

Characteristics of color application indicated from Kirchsteigfeld is presented the various points of view to be preserved urban housing color. It had been handled as environmental color by view point of community and connectivity rather than color scheme of single housing. First, color to be consisted of basis for urban entirely as background color in urban housing complex has been indicated the bright and cheerful feelings and expressed to be introduced mostly from the single color system. Second, characteristics to be inhibited strongly from housing complex had been indicated by restricted four types of color, formulated the overall context and change through accent and the change from disposition of principal and the accessary of color scheme. In this case, it was not regular formulation, but as a whole category view, it could be provided by orderly regularity system strictly Particularly it had been applied as a whole for lightness change by single color, introduced the different color of building to be centered or remained by a visual point. This had been formed to introduction of color by stand points of housing group not introduction to color by sole concept of building. Third, emphasizing of morphologic feeling by using of difference of lightness, it could be indicated the mild and comfortable stereo-type sensibility from the overall types of housing, we could understand for formation of color code by lightness of slightly differences. Fourth, it had been taken the convenient adaptation method for maintenance of simple graphic system as a environmental color. It has considerable advantage for sustainability of color to indicate on finishing material, form and detail in architecture, as the sole separated color not to be complicated when to be painted over and again or managed continuously.

• Journal of Arbitration Studies
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• v.22 no.1
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• pp.65-88
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• 2012

Even though there are some discrepancies in detail with the legal characteristic of the issuing bank's notice to the beneficiary of opening of the letter of credit, article 25 of "the Korean Private International Act(hereunder, 'KPIA')" can be applied to the legal relation between the issuing bank and the beneficiary or the negotiating bank. According to article 26 of the KPIA, if there is no agreement between the issuing bank and its opponent party as to the governing law issues, a state's law which has the closest relationship with the subject case may be applied. In the latter case, given the facts that the issuing bank plays important roles in every phasis of the sale of goods by the letter of credit, a law of place where the issuing bank's business premises is situated(the $lex$ $situs$) can be the applicable law. Meanwhile, "the Korean Supreme Court(hereunder 'KSC')" held that the beneficiary or the negotiating bank can claim any damages arising due to the refusal or deferred payment of the issuing bank, and the law which governs the above mentioned situation is the same law that is applicable to the legal relation between the issuing bank and the beneficiary or the negotiating bank. The main reason of the KSC's ruling is that the nature of the legitimate interest rate which is stated in article 3 of "the Act on Special Cases concerning Expedition etc. of Legal Proceeding(hereunder 'ASCELP')" is substantial matters, not procedural. Taking into account, however, that the main object of ASCELP lies in expedition of legal proceeding, prompt realization of people's rights and duties, and prevention of delayed legal proceeding, it is recommendable that ASCELP, instead of the law applicable to the legal relation between the issuing bank and the beneficiary or the negotiating bank, should be applied to the cases in which the malicious debtor's only and main purpose is delaying the legal proceedings. On the other hand, even if the issuing bank's duty of examination of the documents which were tendered by the beneficiary or the negotiating bank is restricted to the formality and strict conformity of the documents and not the substantiality of the documents, the issuing bank still has to examine the documents with due diligence that is required to the banks whose main business is sales of documents, not the real goods. In this regard, under the circumstances where the document lacked the regularity and/or the formality on its face because of the forgery of the document and where it was expected that an ordinary banker might have easily found any faults with the document, the issuing bank must compensate any parties for damages when it pays money without due diligence as a banker who engaged in the sales of documents.