• Communications of the Korean Mathematical Society
• /
• v.28 no.2
• /
• pp.209-224
• /
• 2013

The problem of finding rational or integral points of an elliptic curve basically boils down to solving a cubic equation. We look closely at the cubic formula of Cardano to find a criterion for a cubic polynomial to have a rational or integral roots. Also we show that existence of a rational root of a cubic polynomial implies existence of a solution for certain Diophantine equation. As an application we find some integral solutions of some special type for $y^2=x^3+b$.

• East Asian Economic Review
• /
• v.22 no.4
• /
• pp.467-505
• /
• 2018

We propose a simple identification scheme for the causes of the violations of uncovered interest parity. Our method uses the serial dependence patterns of excess returns as a criterion for judging performance of economic models. We show that a mean reverting component in excess returns, representing a violation of uncovered interest parity, mainly contributes to generating different serial dependence patterns of excess returns: rational expectations risk premium models tend to generate negative serial dependence of excess returns, while expectational errors models tend to generate positive serial dependence.

• Journal of Korea Port Economic Association
• /
• v.20 no.2
• /
• pp.73-87
• /
• 2004

The purpose of this paper is to setup reasonable criterion for underwriters to reimburse the expenses of suing and labouring incurred by assured, using game theory. As for the upper limit for the reimbursement, MIA and ICC do not mention at all but stipulate that proper and reasonable expenses shall be reimbursed, while ITC-Hulls set the amount insured as the upper limit to compensate the sum of expenses and damage loss. And as for failed measures of averting and minimizing loss, MIA and ICC do not mention either, while ITC-Hulls stipulates underwriters shall compensate the expenses and damage loss within the amount insured. The main results of this paper are as follows: First, it is for the benefit of underwriters to reimburse the expenses incurred to take such reasonable measures to avert or minimizing a loss which would be recoverable under the insurance. Second, the expenses of single measure should not be above the amount insured. Third, even if the measures failed, the expense should be reimbursed if it is less than the expected value of the subject-matter insured that could be recovered by the measures. Last, if the measures are taken several times individually, even if the sum of expenses might be above the amount insured, it should be reimbursed.

• 제어로봇시스템학회:학술대회논문집
• /
• 2001.10a
• /
• pp.155.1-155
• /
• 2001

The main contribution of this research is that it gives:(1) a rational criterion to select the best self-localizing method for a particular situation, and (2) an appropriate arrangement of the landmarks to minimize the error. In this paper, the authors propose a set of indices to evaluate the accuracy of the self-localizing methods, and the indices are derived from a sensitivity which is defined as the ratio of the localizing error to sensor error. And then, we compare the accuracy of self-localizing a mobile robot with landmarks based on the indices, and propose a rational way to minimize the localizing error.

• Structural Engineering and Mechanics
• /
• v.28 no.2
• /
• pp.239-257
• /
• 2008

Double-sided punched metal plate timber fasteners present projections on both sides, which offer improved joint fire resistance and better joint aesthetics. In this paper, 3-D nonlinear finite element models were developed to simulate double-sided nail plate fastener timber joints. The models, incorporating orthotropic elasticity, Hill's yield criterion and elasto-plasticity and contact algorithms, are capable of simulating complex contact between the tooth and the timber and between the base plate and the timber in a fastener. Using validated models, parametric studies of the double-sided nail plate joints was undertaken to cover the tooth length and the tooth width. Optimal configuration was assumed to have been attained when increase in nail plate tooth width did not result in a raise in joint capacity, in conjunction with the optimum tooth length. This paper presents the first attempt to model and optimise tooth profile of double-sided nail plate fastener timber joints, which offers rational designs of such fasteners.

• Explosives and Blasting
• /
• v.23 no.3
• /
• pp.1-10
• /
• 2005

Blast-induced ground vibration nay cause an environmental impact such as neighbour's complaints or damage on adjacent structures and facilities. Complaints associated with blasting have often become a target of public grievances. One of the difficulties to solve the problem is that we do not have a national standard for the acceptance level of blast-induced ground vibration. A peak particle velocity criterion, which was suggested for urbane underground construction, has often been widely used. Efforts have been made to establish more rational criteria. It seems that differing cultures have often differing thresholds of the toleration of vibration, and that technical data or rational grounds for establishing the limits are hardly provided. In this paper, national standards for allowable limit of blast vibration were presented and discussed.

• Journal of Information Technology Services
• /
• v.17 no.4
• /
• pp.85-100
• /
• 2018

In this study, we formulated rational criteria to efficiently provide traffic information services via a crafted approach. By utilizing this, we presented a detailed traffic information service providing method that can overcome the limitations of existing link unit information provision system. Three methodologies such as user survey, data mining, and KHCM (Korea Highway Capacity Manual) utilization method were applied to formulate a rational expression standard for traffic information service. Each method was designed to establish a quantitative criterion for various traffic conditions and to enable user-oriented traffic information service in consideration of the traffic principal/compatibility. Considering the results of each methodological analysis in a comprehensive manner, the basic expression standards for traffic information service was formulated. Then we presented improvements such as traffic condition step by road, speed range of traffic condition, expression term of traffic condition and so on. In order to complement the problems of the information provision system of the existing link unit based on the derived improvement criterion, we presented the detailed traffic information service provision method by using the traffic speed data of the second order. And we applied this to the two links of Daegu city. The method presented in this research can improve the quality of traffic information service. Not only it can be used for various fields such as optimal route search, traffic safety service and so on.

• Explosives and Blasting
• /
• v.22 no.3
• /
• pp.85-95
• /
• 2004

A damage criterion by blast vibration & noise has to be established through a engineering view point. Though a blast vibration has effects on human and structure, they have experienced a different damage. Thus, a damage criterion for structure needs to get a peculiar criterion which are different from one for human. At present, blast damage criterions authorized by government are Vibration & Noise Act made by Ministry of Environment and blast damage criterion of specifications for tunnel made by Ministry of Construction & Transportation. Vibration & Noise Act is based on the response of human, and while it has some application problems, it turns out to be partly rational. But, blast damage criterion of specifications for tunnel has unreasonable guidelines. In this article, its problems are reviewed and a alternative blast damage criterion is suggested.

• Journal of the Korean Wood Science and Technology
• /
• v.21 no.2
• /
• pp.15-22
• /
• 1993

This study was carried out to investigate the fracture criterion of glulam. The mixed mode fracture of glulam was investigated by means of single edge notched specimens with various crack inclination in the longitudinal-radial plane. While fracture of wood is not completely understood, the study on linear-elastic fracture mechanics is a rational and valuable tool for studying the strength behavior of glulam. The results are summarized as follows : 1. Glue line has no effect on fracture strength. 2. There is a definite interaction between fracture toughness $K_I$ and $K_{II}$ during the mixed mode fracture of glulam. Several criterions for mixed mode failure were compared. The criterion was expressed in the following form: $(\frac{K_I}{K_{IC}})^2+(\frac{K_{II}}{K_{IIC}})^2=1$ 3. As crack inclination increases, $K_{IC}$ value and $K_{IIC}$ value decreases. The equations relating crack angle to $K_{IC}$ and $K_{IIC}$, respectively, were obtained as follows; $K_{IC}$ = -77.42${\gamma}$+153.72 ($R^2$ = 0.78) $K_{IIC}$ = -9.17${\gamma}$+34.90 ($R^2$ = 0.48)

• The Journal of the Acoustical Society of Korea
• /
• v.15 no.1E
• /
• pp.45-58
• /
• 1996

This paper addresses the problem of identifying the class of all stable system transfer functions that interpolate the given partial impulse response sequence. In this context, classical Pade approximations that are also stable, are shown to be a special case of this general formulation. The theory developed in this connection is utilized to obtain a new criterion for determining the model order and system parameters for rational systems, and, further, to generate nonminimum phase optimal stable rational approximatinos of nonrational systems from its impulse response sequence.