• 제목/요약/키워드: condition number

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골반 방사선 치료에서 산란이 kV-Conebeam CT 영상 기반의 선량계산에 미치는 영향에 대한 연구 (Study of Scatter Influence of kV-Conebeam CT Based Calculation for Pelvic Radiotherapy)

  • 윤경준;곽정원;조병철;김영석;이상욱;안승도;남상희
    • 한국의학물리학회지:의학물리
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    • 제25권1호
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    • pp.37-45
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    • 2014
  • ConeBeam Computed Tomography (CBCT) 영상을 기반으로 한 선량계산에서는 Fanbeam Computed Tomography (FBCT)와 비교하여 산란에 의한 영향이 크고 그 양상이 다양하게 나타나 오차의 주요한 요인으로 작용하는 것으로 알려져 있다. 본 논문에서는 골반 방사선 치료에서 산란이 CBCT 기반으로 한 선량계산에 미치는 영향을 평가하여 오차를 최소화 할 수 있는 조건에 대하여 연구하였다. 다양한 산란조건에서의 CBCT 영상 취득을 위하여 전자밀도 교정용 팬텀에 크기가 각기 다른 산란물질을 추가하여 "산란부족", "산란과다", 그리고 "산란충분"의 3가지 조건을 정하였다. 산란조건에서 취득된 CBCT 영상에서 팬텀 중심부와 주변부의 위치에 따른 CT number값의 차이와 분포를 분석하여 균질도를 평가하였으며 FBCT 영상 기반의 선량 분포를 기준으로 하여 다양한 산란조건에서의 전자밀도 교정관계를 적용하였을 때 팬텀 및 전립선암 환자 5명의 CBCT 영상에서 계산된 선량분포의 감마합격률 및 상대적 오차를 구하였다. 팬텀 CBCT 영상에 대한 CT number들의 히스토그램에서의 분포에서 물 등가 물질에 해당하는 피크의 폭(FWHM)은 산란부족(685 HU)이나 산란과다(264 HU)보다 산란충분(146 HU)의 조건에서 가장 작게 나타나 균질도가 제일 좋은 것으로 평가되었고 팬텀의 중심부와 주변부에서 동일 성분에 대한 CT number의 차이 역시 같은 결과를 나타내었다. 또한 팬텀의 CBCT 영상을 취득할 때와 동일한 산란조건에서의 교정조건을 적용한 경우 선량계산이 가장 정확하였으며 산란충분의 교정곡선 조건을 적용하였을 때 5명의 전립선암환자(평균 등가지름 27.2 cm)의 CBCT 영상 기반의 선량분포는 FBCT의 경우와 대비하여 1%/3 mm의 감마지표에서 감마합격률 98% 이상을 나타내었다. 이때 FBCT 선량에 대한 CBCT 선량오차는 처방선량 대비 2% 이하(평균 0.2%, -1.3%~1.6%)로 평가되었다. CBCT 골반 촬영을 할 때 일반적인 성인 골반의 원통 등가지름(ECD, Equivalent Cylindrical Diameter)의 산란조건에서 동일 성분에 대한 HU 값이 가장 균질하게 나타나 골반 촬영모드가 최적화되었음을 확인하였으며 일반적인 골반부위와 ECD가 유사한 산란조건, 즉 산란충분조건에서 취득된 전자밀도 교정관계를 적용하여 골반 CBCT 기반에서 선량을 계산하였을 때 최적의 선량 정확성을 확보할 수 있었다.

Study on Antecedent Moisture Condition for Seolma Stream Basin

  • Ly, Sidoeun;Shin, Hyun Seok;Kim, Duck Hwan;Kim, Beom Jun;Kim, Hung Soo
    • 한국습지학회지
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    • 제15권4호
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    • pp.609-618
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    • 2013
  • Curve number (CN), originally developed, compiled by 'The Natural Resources Conservation Service (NRCS)', and has been widely used throughout the world. However, there is the uncertainty of CN derived from the use of antecedent moisture condition (AMC)/Antecedent Runoff Condition (ARC). As in Korea where nearly 70% covered by mountainous area, it is still not sufficient handbook precedent to guide or support the estimation of AMC/ARC. The failure to develop formal criteria of applying AMC/ ARC will be a gaping profession and results not only in uncertainty of CN estimation in particular, but also in designing appropriate structures in Korea as a whole. This paper is aiming at presenting a critical review of AMC/ARC and deriving a procedure to deal more realistically with event rainfall-runoff over wider variety of initial conditions. Proposed methods have been developed. It is based on modifying estimated runoff to observed runoff with coefficient of determination and then applying different algebraic expression with the verification of AMC by antecedent rainfall table of NEH-1964. The result shows that algebraic expression by Arnold et al. (1996) is the most appropriate for AMC/ARC and the results of AMC/ARC estimation criteria are generally very close to each other. Therefore, this algebraic expression might be applied in South Korea condition properly.

ON THE JUMP NUMBER OF SPLITS OF ORDERED SETS

  • Jung, Hyung-Chan;Lee, Jeh-Gwon
    • 대한수학회보
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    • 제37권4호
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    • pp.685-690
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    • 2000
  • In this paper, we consider the jump number of the split P[S] of a subset S ordered set P. $For\ x\in\ P,\ we\ show\ that\ s(P)\leq\ s(P[x]\leq\ s(P)+2$ and give a necessary and sufficient condition for which s(P[x])=s(P).

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한국 재래상의 염색체 연구 (Study on the chromosome number of the Korean native mulberry)

  • 김윤식
    • 한국잠사곤충학회지
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    • 제3권
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    • pp.59-60
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    • 1963
  • 1. 유엽의 Smear Method가 타법에 못지않게 염색체수 조사에 이용될 수 있음을 확인하였다. 2. 우리나라 재래삼은 전부가 체세포염색체수 28개의 이배체상수임을 알게 되었다. 3. 자연적으로 기상환경에 의하여 3배체상수가 생성한 일이 없었음을 증명해 주는 것이다.

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PRIMALITY BETWEEN CONSECUTIVE PRIMORIALS

  • Jung, Kiyuob;Ko, Eunkyung
    • 대한수학회보
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    • 제58권6호
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    • pp.1377-1385
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    • 2021
  • In this paper, we consider a general number system with a base m in order to determine if a positive integer x is prime. We show that the base m providing the most efficient test is the primorial pn# when pn# < x < pn+1# and establish a necessary and sufficient condition for x in between consecutive primorials to be determined as a prime number.

내재적 경계조건 방법을 적용한 비정렬 격자 기반의 정상 압축성 Navier-Stokes 해석자 (AN UNSTRUCTURED STEADY COMPRESSIBLE NAVIER-STOKES SOLVER WITH IMPLICIT BOUNDARY CONDITION METHOD)

  • 백청;김민수;최선규;이승수;김철완
    • 한국전산유체공학회지
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    • 제21권1호
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    • pp.10-18
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    • 2016
  • Numerical boundary conditions are as important as the governing equations when analyzing the fluid flows numerically. An explicit boundary condition method updates the solutions at the boundaries with extrapolation from the interior of the computational domain, while the implicit boundary condition method in conjunction with an implicit time integration method solves the solutions of the entire computational domain including the boundaries simultaneously. The implicit boundary condition method, therefore, is more robust than the explicit boundary condition method. In this paper, steady compressible 2-Dimensional Navier-Stokes solver is developed. We present the implicit boundary condition method coupled with LU-SGS(Lower Upper Symmetric Gauss Seidel) method. Also, the explicit boundary condition method is implemented for comparison. The preconditioning Navier-Stokes equations are solved on unstructured meshes. The numerical computations for a number of flows show that the implicit boundary condition method can give accurate solutions.

이동식 사다리를 중심으로 한 제조업에서의 추락재해 예방대책 연구 (A Study on the Preventive Measures against Fall Injuries in Manufacturing Industry Focusing on the Portable Ladders)

  • 김형석;이석원;정원제;류보혁
    • 한국안전학회지
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    • 제24권6호
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    • pp.136-143
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    • 2009
  • The injuries as a result of fall accidents is the one of the most common kind of injuries in Korea, especially fall from height is the top most common kind for fatal injuries. Futhermore, the number of fall injuries in manufacturing industry has been steadily increasing from 2000 to 2007. In 2007 the number of fall fatal injuries increased 10.6 % in comparison with the number in 2006. These numbers are 6~17 times higher than those for foreign countries such as the U.K and the USA. So, it is needed to make a study to reduce these numbers for manufacturing industry. To get the goals, we did research as followings. First, this study analyzed statistics by industry, by fall height, by common agent and so on to gain an insight into real aspect of fall injuries. It showed that ladder is the commonly cited agent for manufacturing industry, and 3 risky activities ; the ladder work, the load/unload work, and the maintenance work. Secondly, this study made a survey of manufacturing workers for their understandings of the most 3 risky activities. It showed that 'tendency to work easily' and 'difficulty of applying measures due to inherent working conditions' are main reasons for workers not to implement the preventive measures against the fall accidents. Thirdly, this study tested the slip characteristics of ladder base and lungs. The tests were done based on ANSI standard and KS. In addition to the standard condition, this study performed slip tests in wet and sandy conditions and compared the results with the those of standard condition. It showed that friction coefficient is standard condition > wet condition > sandy condition, and the friction coefficient of ladder for sandy condition is measured to be reduced by 63.9% compared with that for standard condition. Finally, this study developed safety work models for using of portable ladders in consideration of the safety standards of foreign countries such as the U.K, the USA, and the Australia.

탈설계 조건에서의 미끄럼 계수 모텔들의 평가 (Assessment of Slip Factor Models at Off-Design Condition)

  • 윤성호;백제현
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.410-415
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    • 2000
  • Slip factor is defined as an empirical factor being multiplied to theoretical energy transfer for the estimation of real work input of a centrifugal compressor. Researchers have tried to develop a simple empirical model, for a century, to predict a slip factor. However most these models were developed on the condition of design point assuming inviscid flow. So these models often fail to predict a correct slip factor at off-design condition. In this study, we summarized various slip factor models and compared these models with experimental and numerical data at off-design condition. As a result of this study, Wiesner's and Paeng and Chung's models are applicable for radial impeller, but all the models are not suitable for backswept impeller. Finally, the essential avenues for future study is discussed.

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NECESSARY CONDITION AND SUFFICIENT CONDITION FOR THE WAVELET FRAMES IN $L^2(R^n)$

  • Wu, Guochang;Zhang, Rui
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1117-1130
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    • 2010
  • The main goal for this paper is consider the necessary conditions and sufficient conditions of wavelet frames in higher dimensions with an arbitrary expanding matrix dilation. At first, we give a necessary condition of wavelet frame in $L^2(R^n)$, which generalizes the univariate results of Shi from one dimension with an arbitrary real number a(a > 1) dilation to higher dimension with an arbitrary expansive matrix dilation. Secondly, we deduce a necessary condition for wavelet frames in $L^2(R^n)$ when the function $\psi$ satisfies some property of the decay. For the case n = 1, we obtain a corollary which has weaker condition comparing with existing result.

Pin fin의 다른 두 핀 끝 경계조건 사이의 온도분포 비교 (Comparison of Temperature Distribution Between Two Different Fin Tip Boundary Conditions for a Pin Fin)

  • 강형석
    • 산업기술연구
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    • 제31권A호
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    • pp.21-25
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    • 2011
  • A comparison of temperature distributions along the fin length coordinate between two different fin tip boundary conditions for a circular pin fin is made by using the one-dimensional analytic method. One tip boundary condition is the actual fin tip boundary condition and fin tip temperature is arbitrarily given for another fin tip boundary condition. The value of the fin base temperature is depend on the fin base thickness and fin radius. One of the results shows that the temperature distribution along the fin length coordinate for the actual fin tip boundary condition and that for the arbitrarily given fin tip temperature are the same if the arbitrarily given fin tip temperature and the fin tip temperature for the actual fin tip boundary condition are the same.

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