• Communications of Mathematical Education
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• v.22 no.4
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• pp.505-514
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• 2008

In this paper we study on derivation of formulas for roots of quadratic equation, cubic equation, and quartic equation through method analogy. Our argument is based on the norm form of polynomial. We also present some mathematical content knowledge related with main discussion of this article.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.107-107
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• 2012

우리나라의 시설재배는 연중 고품질의 농산물을 요구하는 소비자의 기대와 생산자의 경제적 목적이 부합되어 재배면적이 증가하고 있으며 전체 시설재배면적의 31.3%는 수리시설이 완비된 관개논에 위치한다. 시설재배지에서의 수분관리는 작물의 안정적인 생산과 수자원의 효율적인 사용을 위하여 토양 특성을 고려하여 운영되어야 한다. 따라서 시설재배지 토양 특성을 반영한 작물근군역에서의 물수지와 수분거동 특성에 관한 연구가 선행되어야한다. 불포화토양에서의 수분이동은 토양-작물-대기의 연속계에서 수분의 공급과 증발산, 배수 및 유거에 의한 토양수분 장력의 변화로 이루어지며 토양수분과 토양수분 장력, 수리전도도와의 관계는 토양의 수리적 특성에 따라 상이하다. 실험을 통한 토양수분 거동 분석은 시간적, 비용적 측면에서 비효율적이므로 모형에 의한 분석이 요구된다. 본 연구에서는 불포화토양에서의 수분이동을 모의하기 위하여 Richards 공식을 유한차분법으로 해석하였으며 국내 논 시설재배지 이(異)층토양에 대하여 다양한 관개조건을 적용하여 토양수분 거동 특성을 분석하였다. 관개와 작물의 수분흡수가 지속됨에 따라 근군역을 이탈한 토양수분이 유하되어 밭 토양과 논 토양의 경계에 축적됨을 확인 하였으며 과다관개가 이루어질수록 이러한 현상이 심화되는 것으로 나타났다. 본 연구의 결과는 관개시스템의 설계와 운영에 기초자료로 활용될 수 있다.

• The Journal of the Korea Contents Association
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• v.6 no.2
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• pp.51-58
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• 2006

The enhancement of antenna near-field measurements is obtained using a general probe compensation equation based on the Lorentz reciprocity theorem and reciprocity notation. The probe compensation is an essential process of the near-field to far-field transformations. Applying the equation proposed in this paper to a planar scanning for a rectangular horn antenna shows that our near-field radiation pattern is similar to that of a far-field and our theory is very simple to use and suitable for most practical applications.

• Proceedings of the Korea Water Resources Association Conference
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• 2011.05a
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• pp.387-391
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• 2011

국내에서 사면 붕괴의 직접적인 원인은 강우에 의한 것으로 볼 수 있으며, 강우침투에 따른 지하수위 상승과 간극수압 증가, 강우강도 크기에 직접적으로 영향을 받는 지표면 유출로 인한 사면의 표면토사 유출 및 얕은 사면붕괴로 나타난다. 본 연구에서는 강우로 인한 지반내 침투로 불포화토가 포화토로 변화는 과정에서 침투능을 산정하고자 기존의 침투공식을 검토하고 TDR 센서를 이용한 실내실험을 통한 침투능 산정공식을 제시하였다. 제시한 침투능 산정공식을 검증하기 위한 침투실험을 수행하여 결과를 비교 분석하였으며, 이론적 해석 및 실내실험에 의한 결과는 다음과 같다. 첫째, 포화도 변화에 따른 TDR데이터 변화는 일정했으며 이를 회귀분석을 통하여 함수화하였고, 이 함수를 이용하여 지반의 포화도 및 함수비를 파악할 수 있었다. 둘째, 흡인수두항과 중력수두항이 결합된 연속적인 침투능 산정공식을 새로이 유도하였으며, 이를 이용한 결과와 TDR 센서를 이용한 실험결과와 거의 유사함을 알 수 있었다.

• Proceedings of the Korea Contents Association Conference
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• 2004.05a
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• pp.317-322
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• 2004

The improvement of a near-field measurement for an antenna is investigated. We propose the formula of a circular cylindrical scanning based on the Cartesian coordinate. Proposed algorithm for the circular cylindrical scanning is compared with the exact solution for a Hertzian dipole antenna, thus confirming that our approach is useful for most practical measurements.

• Journal of the Korean Institute of Telematics and Electronics
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• v.15 no.6
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• pp.48-51
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• 1978

적선도에서 Masan의 이득공식의 분자를 구하기 위한 변형된 적선도를 제안하고 검토하였다. 이 변형된 적선도는 Barbay의 원래의 적선도에서 직접 얻어지며, 선형가역 회로망희 구동점 함수와 전달 임피이던스 또는 어드미턴스를 구하는데 이용 될 수 있다.

• The Mathematical Education
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• v.57 no.3
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• pp.231-246
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• 2018

In this paper, we applied Sfard's reification theory to analyze the secondary students' level of conceptualization with regard to the formula of quadratic equation. Through the generation and development of mathematical concepts from a historical perspective, Sfard classified the formulation process into three stages of interiorization, condensation, and reification, and proposed levels of formulation. Based on this theory, we constructed a test tool reflecting the reversibility of the nature of manipulation of Piaget's theory as a criterion of content judgement in order to grasp students' conceptualization level of the formula of quadratic equation. By applying this tool, we analyzed the conceptualization level of the formula of quadratic equation of the $9^{th}$ and $10^{th}$ graders. The main results are as follows. First, approximately 45% of $9^{th}$ graders can not memorize the formula of quadratic equation, or even if they memorize, they do not have the ability of accurate calculation to apply for it. Second, high school curriculum requires for students to use the formula of the quadratic equation, but about 60% of $10^{th}$ graders have not reached at the level of reification that they can use the formula of quadratic equation. Third, as a result of imaginarily correcting the error of the previous concept, there was a change in the levels of $9^{th}$ graders, and there was no change in $10^{th}$ graders.

• Proceedings of the Korea Contents Association Conference
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• 2004.11a
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• pp.280-284
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• 2004

In this paper, we propose a low-cost near-field measurement system using a circular cylindrical scanning formula in order to obtain the radiation pattern of an AUT (Antenna Under Test). Near-field measurement is performed with the improved circular cylindrical scanning based on a planar scanning. We propose a novel method that replaces a network analyzer and we also offer the specifications of the near-field measurement system.

• Journal of Korea Water Resources Association
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• v.33 no.5
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• pp.603-610
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• 2000

Climate factors such as rainfall, temperature, wind, humidity, and solar radiant heat affect soil erosion. Among those factors, rainfall influences soil erosion to the most extent. The kinetic energy of rainfall breaks away soil particles and the water flow caused by the rainfall entrains and transport them downstream. In order to estimate soil erosion, therefore, it is important to determine the rainfall erosivity. In this study, the annual average Rainfall Erosivity(R) in Korea, an important factor of the Universal Soil Loss Equation(USLE) and Revised Equation(RUSLE), has been estimated using the nationwide rainfall data from 1973 to 1996. For this estimation, hourly rainfall data at 53 meterological stations managed by the Meterological Agency was used. It has been found from this study that the newly computed values for R are slightly larger than the existing ones. It would be because this study is based on the range of rainfall data that is longer in period and denser in the number of gauging stations than what the existing result used. The final result of this study is shown in the form the isoerodent map of Korea.

• Journal of the Korean Geotechnical Society
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• v.35 no.8
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• pp.17-30
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• 2019

Based on pile load test results for various pile types that were constructed in-situ and pile design data of prebored PHC piles, the ratio of skin friction to total capacity (SRF) was analyzed. A SRF distribution range from the pile load test results for pilot test prebored PHC piles was 42~99% regardless of relative penetration lengths, soil types, and pile load test types. However, a SRF distribution range from the pile design data for prebored PHC piles was 20~53% regardless of relative penetration lengths and pile diameters. Also, a SRF distribution range from the restrike dynamic pile load test results for pretest working prebored PHC piles was a scattered range of 4~83% regardless of pile diameters, relative penetration lengths and soil types. The scattered SRF of pretest working piles was caused to the quality control issue on the filling of cement milk around piles and this quality control issue should be improved. The average SRF calculated by the current design method was estimated to be 2.2 times lower than the average SRF of the pilot test piles. It is because skin friction resistance is calculated at a very low level. Therefore, a new design method for skin friction will be proposed based on this study.