• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.35 no.5
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• pp.412-418
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• 2007

An inverse optimal problem for homing guidance with angular constraint is addressed. The gains of BPN(Biased PN) are investigated by duality analysis related to the weighting matrices of the performance index in the LQ control problem. Moreover, the criteria for the existence of optimal gains are derived from the generalized Riccati equation. Based on the conditions we achieve the gain set of BPN to be optimal solution to the LQ problem with terminal constraints. To validate and demonstrate the proposed approach 3-DOF simulations are carried out.

• Journal of Korean Society for Geospatial Information Science
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• v.20 no.2
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• pp.15-22
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• 2012

The variation in the wind speed with height above ground is called the wind shear profile. In the field of wind resource assessment, analysts typically use one of two mathematical relations to characterize the measured wind shear profile: the logarithmic profile (log law) and the power law profile (power law). The logarithmic law uses the surface roughness as a parameter, and the power law uses the power law exponent as a parameter. The shape of the wind shear profile typically depends on several factors, most notably the roughness of the surrounding terrain and the stability of the atmosphere. Since the atmospheric stability changes with season, time of day, and meteorological conditions, the surface roughness and the power law exponent also tends to change in time. For this study, Using the observed data from Met-mast, located in Pyeongdae, Handong in Jeju. we used the matlab and windograper to calculate roughness length and the law exponents. These calculations are similar to reference the data, but they have different ranges. In the ocean case, each reference data and calculated data was the same, but the crop area is higher than the earlier studies. In addition, the agricultural village is lower than the earlier studies.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.18 no.1
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• pp.57-62
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• 2014

The benefits of infrastructure support are shown by analyzing a throughput scaling law of an erasure network in which multiple relay stations (RSs) are regularly placed. Based on suitably modeling erasure probabilities under the assumed network, we show our achievable network throughput in the hybrid erasure network. More specifically, we use two types of physical models, a exponential decay model and a polynomial decay model. Then, we analyze our achievable throughput using two existing schemes including multi-hop transmissions with and without help of RSs. Our result indicates that for both physical models, the derived throughput scaling law depends on the number of nodes and the number of RSs.

• The Journal of Natural Sciences
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• v.8 no.2
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• pp.13-16
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• 1996

In this paper, we introduce various exponential laws and fibrations in a quasitopos over a base. And the properties of the restricted fibred mapping projection in a quasitopos are investigated.

• The Korean Journal of Financial Management
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• v.19 no.1
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• pp.1-32
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• 2002

한국 종합주가지수는 한국증권거래소에 상장된 모든 기업들의 가치 가중치에 의한 포트폴리오의 가격의 시계열이라고 할 수 있다. 따라서 이 지수는 한국 경제의 현재의 활동과 미래의 활동에 대한 예상의 총합의 반영 또는 표상을 표현하는 정보라 할 수 있다. 본 논문에서는 시차변수가 독립변수로 도입될 수도 있으며, 시차변수가 아닌 변수가 독립변수로 도입되는 것이 허용되는 회귀모형을 통하여 구조변화의 회수와 구조변환점을 검정할 수 있는 통계량과 이 통계량의 확률분포를 분석하고 한국 종합주가지수에 적용하여 한국 종합주가 지수의 일별수익률에 구조변화가 발생하였는지의 여부와 발생했다면 발생회수와 변환점들을 발견하는데 그 목적이 있다. 한국 종합주가지수의 일별수익률은 분산의 변화 그리고 평균 및 분산의 동시변화가 1997년 9월 27일에 발생하였다. 자기회귀모형에 의할 때 증권시장의 구조변화는 1999년 11월 16일에 이루어졌다. 평균과 분산의 변화가 일어나 구조변화의 단계를 시작하고 구조변화에 알맞는 환경조성에 2년이 소요된 후에 1999년 11월 16일에 구조변화가 정착되었다. 정착이 이루어진 후에야 비로서 이 두 기간은 서로 다른 경제구조와 증권시장구조가 이루어지고 이에 입각하여 시장의 새로운 운동법칙이 전개되고 있다고 할 수 있을 것이다.

• Journal of Korean Society for Geospatial Information Science
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• v.21 no.4
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• pp.65-71
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• 2013

Wind shear means the variation of wind speed according to the height. Wind shear is the important factor affecting the energy production of wind turbines. Power Law is used to extrapolate wind speed data. Normally, a Power Law exponent of 0.143 is used and this is referred to as the 1/7th Power Law. The Power Law exponent is affected by atmospheric stability and surface roughness of the site. Thus, it is necessary to calculate the Power Law exponent of the site exactly for an accurate estimation of wind energy. In this study, wind resources were measured at the three Met-masts which were located in the coastal area of northeastern Jeju Island. The Power Law exponents of the sites were calculated and proposed using measured data. They were 0.141 at Handong, 0.138 at Pyeongdae, and 0.1254 at Udo. We compared annual energy productions which are calculated using a Power Law exponent of 0.143, the proposed value of the Power Law exponents for each site, and the measured data. As a result, the cases of calculating using the proposed values were more similar to the cases using the measured data than the cases using the 0.143 value. Finally, we found that the propsed values of the Power Law exponent are available to more accurately estimate wind resources.

• The Mathematical Education
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• v.50 no.1
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• pp.61-67
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• 2011

There may be two methods defining the rational exponent $a^{\frac{m}{n}}$ for any positive real number a. The one which is used in all korean highschool mathematics textbooks is to define it as $\sqrt[n]{a^m}$, that is $(a^m)^{\frac{1}{n}}$. The other is to define it as $(\sqrt[n]a)^m}$, that is $(a^{\frac{1}{n}})^m$. In this paper, we insist that the latter is more appropriate and universal, and that the contents of current textbooks on the definition of the rational exponent should be corrected.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.583-600
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• 2013

In this paper, we study the recognition and fallacy of would-be in-service teachers about numbers with irrational exponent. We chose 51 secondary school teachers who are teaching mathematics in K metropolitan city and investigate their recognition and fallacy about the cases of irrational exponents of a positive rational and irrational exponents of a positive irrational number at the expansion of exponential law. We found following facts. First, in-service teacher's a percentage of correct answers differ depending on the type of numbers with irrational exponent. Second, in-service teachers decide their answer depending on intuition rather than logic. Third, in-service teachers decide their answer depending on exponential rather than base.

• Fire Science and Engineering
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• v.13 no.1
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• pp.11-19
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• 1999

The flash point is generally used as a hazardous index of fire and explosion of a flammable liquid. A classification of the flash points is important for the safe handling of flammable liquids such as solvent mixtures. The flash points of pure substances and solvent mixtures can be c calculated with the appropriate use of the fundamental laws of Raoult, Dalton, Le Chatelier and a activity coefficient models. In this study, experimentally determined lower and upper flash points w were compared with the calculated values by using Raoult's law and van Laar equation. The flash points of pure substances were in agreement with the calculated values by vapor pressure and e explosive limits. Also, the lower flash points of M.E.K(methylethylketone)-toluene system were i in agreement with the predicted values by Raoult’s law, and the upper flash points were in a agreement with the predicted values by van Laar equation. By means of this methodology, it is possible to evaluate reliability of expermental data of the flash points of the flammable mixtures.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.29 no.6
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• pp.279-285
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• 2017

In general, the power law and logarithmic profile are commonly used as flow vertical velocity profile model. However, since the parameters of profile vary with characteristics of coastal environment, it is necessary to estimate these values from measured data using regression analysis. In this paper, we estimated the power law exponent (n), friction velocity ($u^*$) and roughness length ($z_0$) of logarithmic profile by analyzing measured tidal current data that are averaged at a interval of 30 min. In the results of analysis, power law exponent (n) was estimated to be about 10.75 during flood and about 9.3 during ebb. Meanwhile, $u^*$ of logarithmic profile was estimated to be about 0.084 m/s, 0.105 m/s during flood and ebb, respectively. Also, $z_0$ was estimated to be 0.004 m and 0.006 m, respectively.