• East Asian mathematical journal
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• 제31권2호
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• pp.167-188
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• 2015

Formula for the area of a trapezoid is an educational material that can handle algebraic and geometric perspectives simultaneously. In this note, we will make up the expression equivalent algebraically to the formula for the area of a trapezoid, and deal with the conversion of a geometric point of view, in algebraic terms of translating and interpreting the expression geometrically. As a result, the geometric conversion model, the first algebraic model, the second algebraic model are obtained. Therefore, this problem is a good material to understand the advantages and disadvantages of the algebraic and geometric perspectives and to improve the mathematical insight through complementary activity. In addition, these activities can be used as material for enrichment and gifted education, because it helps cultivate a rich perspective on diverse and creative thinking and mathematical concepts.

• KEPCO Journal on Electric Power and Energy
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• 제8권2호
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• pp.73-77
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• 2022

Recently, as the number of years of operation has increased for more than 30 years, interest in evaluating the remaining life of major power facilities such as transformers and ultra-high voltage cables is increasing. In particular, the risk of failure is increasing because the underground transmission XLPE cable has been built since 1980 and has been operating in excess of 30 years of design life or close proximity. Therefore, it is necessary to develop an algorithm to evaluate the residual life of the XLPE cable considering the load to determine the risk of failure. Since load data is large amount of data, it is necessary to make the variable load information equivalent to the time unit first in order to calculate the remaining life of the system quickly. In overseas literature, transformers are reported to be standardized for variable load equivalent conversion formulas, but they have not been reported for ultra-high voltage cables. Therefore, in this paper, whether the equivalent conversion formula of a transformer can be applied to XLPE cables was reviewed through accelerated degradation tests under equivalent and variable temperature conditions, and considerations were studied when evaluating the remaining operating life of XLPE cables based on the experimental results.

• Journal of Electrochemical Science and Technology
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• 제11권3호
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• pp.318-321
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• 2020

Here I present a formula which converts a constant phase element (CPE) to its equivalent capacitor. Electrochemical impedance spectroscopy is capable of resolving a complex electrochemical processes into its faradaic and non-faradaic elements, and the non-faradaic process is frequently described as a CPE in place of a capacitor due to the non-ideality. Being described as a capacitor, the non-faradaic element provides information by its capacitance, but a CPE cannot provide a physical meaning. In order to solve the problem, the CPE has been dealt with as an equivalent capacitor of which the capacitance provides practical information. Succeeding the two methods previously suggested, a new conversion method is suggested in this report. While the previous ones manipulate only the CPE, the new method takes both the CPE and its related resistor into account for conversion. By comparing the results obtained by the three methods, we learn that the results are nearly the same within tolerable ranges, and conclude that any of the method choices is acceptable depending on the conditions of the system of interest.

• 치과방사선
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• 제27권1호
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• pp.87-97
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• 1997

The purpose of this study was to evaluate the method for quantitative assessment of bone mass from aluminum-equivalent value of hydroxyapatite by using digital imaging system consisted of Power Macintosh 7200/120, 15-inch color monitor, and GT-9000 scanner with transparency unit. After aluminum-equivalent image made from correlation between aluminum thickness and grey scale, the accuracy of conversion to mass from aluminum-equivalent value was evaluated. Measured bone mass was compared with converted bone mass from aluminum-equivalent value of hydroxyapatite block by correlation formula between aluminum-equivalent value of hydroxyapatite block and hydroxyapatite mass. The results of this study were as follow; 1. Correlation between aluminum thickness and grey level for obtaining aluminum-equivalent image was high positively associated(r²=0.99). Converted masses from aluminum-equivalent value were very similar to measured masses. There was, statistically, no significant difference(P<0.05) between them 2. Correlation between hydroxyapatite aluminum-equivalent and hydroxyapatite mass was shown to linear relation (r²=0.95). 3. Converted masses from aluminum-equivalent value of 3 dry mandible segments were similar to measured masses. The difference between the exposure directions was not significantly different(P<0.05).

• 한국의학물리학회지:의학물리
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• 제4권2호
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• pp.9-17
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• 1993

본 논문의 목적의 NEC LINAC 6 MVX 선의 소조사면에 대한 선량분포를 복잡한 물팬톰 및 ion chamber대신 film 및 고체 물팬톰을 이용하여 간단히 측정하고 분석하는 시스템을 개발하는 데 있다. 단일 선속측정을 위하여 필름과 고체 물팬톰이 이용되었으며, 측정된 데이타는 percent depth dose (PDD), off-axis ratio (OAR) 등을 포함하며, 한변이 1, 2, 3cm의 정사각형 소조사면에 대하여 측정이 이루어 졌다. 또한 Output factor측정은 ion chamber로 측정되었으며, 필름에 의하여 측정된 PDD, OAR 등은 ion chamber측정기로 측정된 값과 비교 검토되었다. 필름으로 부터 측정된 PDD값으로 부터 환산식을 이용하여 tissue maximum ratio (TMR) 값을 얻었으며, 본 실험에서 얻어진 TMR, OAR 값들은 같은 에너지를 나타내는 Philips LINAC의 선량 데이타와 유사한 결과를 보여주었다. 고체 물팬톰 및 필름을 이용한 소조사면 측정은 간편하고도 유용한 방법이었으며, 특히, 자체 개발된 필름팬톰은 뇌정위적 방사선 수술을 위한 OAR 선량을 측정하는 데 유용하였다.

• 한국수자원학회논문집
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• 제52권12호
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• pp.1057-1066
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• 2019

저류함수법은 비선형성을 가지는 실제 강우-유출 관계를 해석하기 위한 방법으로 우리나라 4개 홍수통제소의 홍수예측모형으로 이용되고 있다. 정확한 유출해석을 위해서는 정확한 저류함수의 매개변수 산정이 중요하나, 현재 사용되고 있는 저류함수법의 매개변수는 제한된 수문사상 분석에 의해 작성된 2012년도 경험식에 의해 추정된 것으로 정확도가 낮은 실정이다. 운동파법은 유역 및 하도의 물리변수에 기초한 방법으로 강우-유출 해석에 많이 이용되고 있다. 운동파법의 변환에 의한 2항 저류함수법을 채택하면 물리변수를 기반으로 매개변수를 추정할 수 있어 유출계산의 정확도가 증가할 수 있다. 유역유출에서 중요한 물리변수인 등가조도는 토지이용 및 토지피복을 이용하여 쉽게 구할 수 있으며, 하도유출의 물리변수는 하천기본계획 보고서 및 지형도 등에서 쉽게 구할 수 있어 매개변수의 추정이 매우 용이한 장점이 있다. 본 연구에서는 2항 저류함수법의 운동파법 재현성을 검토하였고, 한강권역 홍천강의 지류인 내촌천을 대상으로 2항 저류함수법의 적용 가능성을 검토한 바, 경험식에 의한 매개변수를 이용한 기존 1항 저류함수법보다 정확한 유출계산 결과를 얻을 수 있었다. 미계측 유역 및 하도에서도 물리변수를 이용하여 매개변수를 용이하게 추정할 수 있기 때문에 저류함수법의 활용도가 증가될 수 있을 것으로 기대된다.