• Journal of the Korean Institute of Telematics and Electronics C
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• v.34C no.2
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• pp.12-18
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• 1997

An efficient synthesis method of cellular architecture FPgA is proposed in this paper. To generate a logical representation called complex term which is to be directly mapped onto the cellular architecture FPGA, and SO or ESOP minimization tool was used in previous methods. Instead, we use a logic function transformed into BDD (binary decision diagram) in the actual generation of the complex temrs. In this process it estimates the cost(i.e. the number of complex terms) for three branches, 0-branch and 1-branches. This process is continued over the whole BDD to do such computation, and we observed that the number of complex terms has been reduced compared to the previous results.

• Journal of Arbitration Studies
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• v.9 no.1
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• pp.139-160
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• 1999

International commercial arbitrations have developed into a simple form in which both parties involved in the dispute by a contract intend to solve the dispute through the legal arbitration system. however nowadays the above traditional form taken by international projects are rarely seen and instead the form of complex arbitration in which many parties are involved has become more and more universal. The complex arbitration means not only many-sided parties concerned but also means a plural number of contract involved in conflicts, a plural number of issues involved in conflicts and a plural number of contracts though their contractors are not in a plural number. However in this report the complex arbitrations will be studied into categories as follows : 1. Pure multi-issue situations, 2. Pure multi-party situations, 3. Pure multi-contract situations. A Pure Multi-Issue arbitration basically includes a plural number of claims between the two parties concerned. A Pure Multi-party case classically presupposes an arbitration clause which involves a plural number of parties concerned. After Party A takes a legal proceeding and then Party B institutes a request to Party C in the above proceeding. In that case the problem arises on whether it is allowed to do so or not. A Pure Multi-Contract case presupposes that when Party A and Party B have independent arbitration clauses based on separate contract relations, respectively, the problem is whether both above-mentioned proceedings can be unified into one or not. As for the above-mentioned complex arbitration, though international treaties are being formed, including the WTO treaties, the NAFTA treaties, the Mercosur treaties and others, legal regulations and customs have not yet been formed domestically. The institutional preparations will be necessitated in consideration of national legal status as well as international treaty relations.

• Honam Mathematical Journal
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• v.35 no.4
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• pp.809-817
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• 2013

We research properties of a corresponding Cauchy theorem of hyperholomorphic functions in an open set of product complex spaces, in the sense of complex Clifford analysis.

• Journal of applied mathematics & informatics
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• v.35 no.3_4
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• pp.331-347
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• 2017

Soft sets are fantastic mathematical tools to handle imprecise and uncertain information in complicated situations. In this paper, we defined the hybrid structure which is the combination of soft set and complex number representation of intuitionistic fuzzy set. We defined basic set theoretic operations such as complement, union, intersection, restricted union, restricted intersection etc. for this hybrid structure. Moreover, we developed this theory to establish some more set theoretic operations like Disjunctive sum, difference, product, conjugate etc.

• School Mathematics
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• v.9 no.2
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• pp.291-312
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• 2007

As a result of observing the 10-th grade text books on mathematics now in use which show the way of introducing complex numbers for the first time, it is easy to see all the text books on mathematics use a quadratic equation $x^2+1=0$ for a new number i. However, Since using the new number i is artificial, this make students get confused in understanding the way of introducing complex numbers. And students who have problems with the quadratic equation can also have difficulty in understanding complex numbers. On the other hand, by using a coordinate plane with ordered pairs and arrows, students can understand complex numbers better because the number system can be extended systematically through intuitive methods. The problem is that how to bring and use ordered pairs and arrows to introduce complex numbers in highschool mathematics. To solve this problem, in this study, We developed a systematic and visible learning contents which make it possible to study the process of the step-by-step extension of number system that will be applied through elementary and middle school curriculum and all the way up to the introduction of complex numbers. After having applied the developed learning contents to the teaching and learning procedure, we can know that the developed learning contents are more efficient than the contents used in the text books on mathematics now in use.

• Journal for History of Mathematics
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• v.25 no.4
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• pp.69-82
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• 2012

The objective of this paper is to study De Morgan's perspective on teaching and learning complex numbers. De Morgan's didactical approaches reflect the process of development of his thoughts about algebra from universal arithmetic, symbolic algebra to meaning algebra. De Morgan develop his perspective on algebra by justifying and explaining complex numbers. This implies that teaching and learning complex numbers is a catalyst for mathematical development of De Morgan.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.20 no.9
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• pp.2953-2964
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• 1996

Heat Transfer with periodic fluctuation of fluid temperature caused by oscillatory flow or compression expansion can be out of phase with balk fluid-wall temperature difference. Newton's law of convection is inadequate to describe this phenomenon. In order to solve this problem the concept of the complex Nusselt number has been introduced by severla researchers. The complex Nusselt number expresses out of phase excellently while the first harmonic is dominant in the variations of both fluid-wall temperature difference and heat flux. However, in the case of oscillatory flow with non-linear wall temperature distribution, the complex Nusselt number is not appropriate to predict the heat transfer phenomena since the higher order harmonic components appear in periodic temperature variation. Analytic solutions to the heat transfer with an sinusoidal well temperature distribution were obtained to investagate the effect of non-linear wall temperature distribution. A new formula considering the thermal boundary layer was suggested based on the solutions. A comparison was also made with the complex Nusselt number. It was verified that the new formula describes well the heat transfer of oscillating flow even if the first harmonic component is not dominant in the fluid-wall temperature difference.

• Structural Engineering and Mechanics
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• v.87 no.1
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• pp.57-68
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• 2023

Response spectrum method is still an effective approach for the design of buildings with supplemental dampers. In practice, complex complete quadratic combination (CCQC) rule is always used in the response spectrum method to consider the effect of non-classical damping. The conventional CCQC rule is based on exact complex mode vectors. Sometimes the calculated complex mode vectors may be not excited by the external loading and errors in the structural responses always arise due to the mode truncation. Load-dependent Ritz (LDR) vectors are associated with the external loading and LDR vectors not excited can be automatically excluded. Also, contributions of higher modes are implicitly contained in the LDR vectors in terms of static responses. To improve the calculation efficiency and accuracy, LDR vectors are introduced in the CCQC rule in the present study. Firstly, the generation procedure of LDR vectors suitable for non-classical damping system is presented. Compared to the conventional LDR vectors, the LDR vectors herein are complex-valued and named as complex LDR (CLDR) vectors. Based on the CLDR vectors, the CCQC rule is then rederived and an improved response spectrum method is developed. Finally, the effectiveness of the proposed method in this paper is verified through three typical non-classical damping buildings. Numerical results show that the CLDR vector is superior to the complex mode with the same number in the calculation. Since the generation of CLDR vectors requires less computational cost and storage space, the method proposed in this paper offers an attractive alternative, especially for structures with a large number of degrees of freedom.

• International Journal of Advanced Culture Technology
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• v.9 no.4
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• pp.376-384
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• 2021

This study wants to provide basic data on effective escape safety plans when residents of apartment complex use residential convenience facilities. The findings of the analysis are as follows. First, when this study applied the actual number of users (No=54) of those facilities, the existence of elevator for escape reduced the escape time by 189.0 seconds. Second, when the number of users was calculated on the standard of the number of people who can be accommodated for performance based design (No=316), the existence of the elevator for escape reduced the escape time by 173.5 seconds. Finally, when the number of users was calculated on the standard of installing fire-fighting facilities (No=122), the existence of the elevator for escape reduced the escape time by 159.2 seconds. As a result, it was found that elevator for escape reduces the escape time from fire. Accordingly, it is necessary to revise the construction law to make it obligatory for residential convenience facilities to be equipped with elevator for escape. Currently, apartment buildings lower than 30 stories have either elevator for passengers or elevator for escape. Thus, in future studies, it is necessary to compare escape times in fire depending on the kinds of elevator, and identify the usefulness of elevator for escape.

• Journal of the Architectural Institute of Korea Structure & Construction
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• v.34 no.3
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• pp.95-102
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• 2018

In order to understand interaction between building users' occupant performance and building maintenance performance of maintenance management personnel, actual data from maintenance activities of buildings were analyzed. Also, using building defect customer complaint data reported by building user, satisfaction data on building maintenance services of building users and service response time of maintenance management personnel, a method for evaluating interaction of buildings with the same purpose and same size was proposed. Throughout analysis, average number of occurrences per unit area per year for the mechanical complaints in complex building were presented. In addition, using building users' satisfaction with facility management services, attitude of responding to business obstacles, number of occurrences per unit area per year of mechanical complaints and complaint processing speed, interaction was comprehensively identified and compared.