• 제목/요약/키워드: logarithmic calculation

검색결과 31건 처리시간 0.024초

유사인자를 사용하여 용출양상 유사성을 비교하는 방법에 대한 고찰 (Understanding of F2 Metrics Used to Evaluate Similarity of Dissolution Profiles)

  • 조미현;김정호;이현태;사홍기
    • Journal of Pharmaceutical Investigation
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    • 제33권3호
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    • pp.245-253
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    • 2003
  • Dissolution profile comparsions can be done by virtue of the similarity factor $(f_2)$. It is a logarithmic reciprocal square root transformation of the sum of squared error of % dissolution differences between two profiles at several time points. It gives information on the degree of similarity between the two profiles: An $f_2$ value between 50 and 100 suggests the similarity/equivalence of the two dissolution curves being compared. The objective of this report was to provide a careful examination on the $f_2$ metrics in detail. It was shown that $f_2$ values exceeded 50, when relative differences in % dissolved between two products were less than 15% at all time points. The similarity factor value was also found to be greater than 50, in cases when absolute % dissolution differences were below 10% at all time points. Interestingly, the $f_2$ value was changed by the number of the time points selected for calculation. In particular, $f_2$ tended to have higher values, when the $f_2$ metrics used a large number of time points in which % dissolved reached plateau. Finally, since the similarity factor was a sample statistics, it was impossible to infer type I/II errors and sampling error. Despite certain limitations inherited in the $f_2$ metrics, it was easy and convenient to evaluate how similar the two dissolution profiles were.

회귀분석을 이용한 UCP 기반 소프트웨어 개발 노력 추정 모델 (Software Cost Estimation Model Based on Use Case Points by using Regression Model)

  • 박주석;양해술
    • 한국콘텐츠학회논문지
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    • 제9권8호
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    • pp.147-157
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    • 2009
  • 최근 객체지향 개발 방법론을 적용하는 소프트웨어 개발 프로젝트에서 개발 노력 추정 기법으로 사용사례점수(Use Case Point, UCP)에 대한 연구가 계속되고 있다. 기존의 연구는 기술적 요인과 환경적 요인을 적용한 AUCP(Adjusted Use Case Point)에 상수를 곱하여 개발 노력을 추정하는 선형모델을 제안하고 있다. 그러나 소프트웨어 규모가 증가하면 개발기간은 기하급수적으로 증가함으로서 비선형 회귀모델이 적합하다는 사실과 UCP 계산과정에서 TCF(Technical Complexity Factor)와 EF(Environmental Factor)를 적용함에 따른 FP(Function Point) 오차가 발생함으로서 AUCP로 규모를 추정하는 것은 비현실적이다. 이 논문은 사용사례점수 기반의 기존 연구의 문제점을 제시하고, 기존 연구의 문제점인 TCF와 EF를 고려하지 않고 직접 UUCP로 부터 개발 노력을 추정할 수 있는 모델(선형, 로그형, 다항식, 거듭제곱, 지수형)을 도출하고 평가한다. 그 결과, 기존의 선행 모델보다 비선형모델인 지수형 모델이 우수한 결과를 보였다. 따라서 개발될 소프트웨어 시스템의 UUCP를 계산한 후 제안된 모델을 이용하여 개발 노력을 추정함으로서 개발에 소요되는 직접비용 산정이 가능하다.

Monte Carlo 시뮬레이션을 이용한 Si 임팩트이온화계수의 온도 및 전계 특성 (The Temperature- and Field-dependent Impact ionization Coefficient for Silicon using Monte Carlo Simulation)

  • 유창관;고석웅;김재홍;정학기;이종인
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2000년도 춘계종합학술대회
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    • pp.451-454
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    • 2000
  • 임팩트이온화는 고전계하에서 고에너지를 지닌 캐리어간 산란으로써 전자전송해석에 필수적인 요소이다. 임팩트이온화율 계산은 풀밴드 E-k관계와 페르미의 황금법칙을 이용하였다. 본 연구에서는 풀밴드 Monte Carlo 시뮬레이션을 이용하여 온도 및 전계에 대한 Si 임팩트이온화계수를 조사하였다. 임팩트이온화 모델에 의해서 계산된 look의 임팩트이온화계수는 실험값과 잘 맞았다. 온도상승에 따른 임팩트이온화계수와 전자의 에너지는 포논산란의 emission 모드의 증가 때문에 감소함을 알 수 있었다. 임팩트이온화계수의 대수는 온도와 전계에 대한 선형함수로 fitting 되었다. 이 선형함수의 오차는 5%이내이다. 결과적으로 임팩트이온화계수의 대수는 선형적으로 온도와 전계에 의존함을 알 수 있었다.

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CANDU6 감속재 온도분포 계산을 위한 CFD 해석모델의 타당성 검토 (Validation of a CFD Analysis Model for the Calculation of CANDU6 Moderator Temperature Distribution)

  • 윤철;이보욱;민병주
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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    • pp.499-504
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    • 2001
  • A validation of a 3D CFD model for predicting local subcooling of moderator in the vicinity of calandria tubes in a CANDU reactor is performed. The small scale moderator experiments performed at Sheridan Park Experimental Laboratory(SPEL) in Ontario, Canada[1] is used for the validation. Also a comparison is made between previous CFD analyses based on 2DMOTH and PHOENICS, and the current model analysis for the same SPEL experiment. For the current model, a set of grid structures for the same geometry as the experimental test section is generated and the momentum, heat and continuity equations are solved by CFX-4.3, a CFD code developed by AEA technology. The matrix of calandria tubes is simplified by the porous media approach. The standard $k-\varepsilon$ turbulence model associated with logarithmic wall treatment and SIMPLEC algorithm on the body fitted grid are used and buoyancy effects are accounted for by the Boussinesq approximation. For the test conditions simulated in this study, the flow pattern identified is a buoyancy-dominated flow, which is generated by the interaction between the dominant buoyancy force by heating and inertial momentum forces by the inlet jets. As a result, the current CFD moderator analysis model predicts the moderator temperature reasonably, and the maximum error against the experimental data is kept at less than $2.0^{\circ}C$ over the whole domain. The simulated velocity field matches with the visualization of SPEL experiments quite well.

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그래픽 계산기를 활용하는 수학과 교수-학습 자료 모형 개발 연구 (Study on the Development of a Model for Teaching and Learning Mathematics Using Graphic Calculators)

  • 강옥기
    • 대한수학교육학회지:수학교육학연구
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    • 제8권2호
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    • pp.453-474
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    • 1998
  • This study is focused on the possibility if we can use graphic calculators in teaching and learning school mathematics. This study is consisted with four main chapters. In chapter II, the functions of the graphic calculator EL-9600 produced by Sharp Corporation was analyzed focused on the possibilities if the functions could be used in teaching and learning school mathematics. Calculating of real numbers and complex numbers, solving equations and system of linear equations, calculating of matrices, graphing of several functions including polynomial functions, trigonometric functions, exponential and logarithmic functions, calculation of differential and integrals, arranging of statical data, graphing of statistical data, testing of statistical hypotheses, and other more useful functions were founded. In Chapter III, a mathematics textbook developed by Core-Plus Mathematics Project was analyzed focused on how a graphic calculator was used in teaching and learning mathematics, In the textbook, graphic calculator was used as a tool in understanding mathematical concepts and solving problems. Graphic calculator is not just a tool to do complex computations but a tool used in the processes of doing mathematics, In chapter IV, the 7th mathematics curriculum for korean secondary schools was analyzed to find the contents could be taught by using graphic calculators. Most of the domains, except geometric figure, were found that they could be taught by using graphic calculators, In chapter V, a model of a unit using graphic calculator in teaching 7th mathematics curriculum was developed. In this model, graphic calculator was used as a tool in the processes of understanding mathematical concepts and solving problems. This study suggests the possibilities that we can use graphic calculators effectively in teaching and learning mathematical concepts and problem solving for most domains of secondary school mathematics.

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플로팅 링 베어링으로 지지된 터보차저 로터의 안정성 해석 (Stability Analysis of Floating Ring Bearing Supported Turbocharger)

  • 이동현;김영철;김병옥
    • Tribology and Lubricants
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    • 제31권6호
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    • pp.302-307
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    • 2015
  • The use of turbocharger in internal combustion engines has increased as it is a key components for improving system efficiency without increasing engine size. Because of increasing demand, many studies have evaluated rotordynamic performance so as to increase rotation speed. This paper presents a linear and nonlinear analysis model for a turbocharger rotor supported by a floating ring bearing. We constructed rotor model by using the finite element method and approximated bearings as being infinitely short. In the linear model, we considered fluid film force as stiffness and damping element. In nonlinear analysis, calculation of the fluid film force involved solving the time dependent Reynolds equation. We verified the developed model by comparing the results to those of previous research. The analysis results show that there are four unstable modes, which are rigid body modes combining ring and rotor motion. As the rotating speed increases, the logarithmic decrement shows that certain unstable modes goes into the stable area or the stable mode goes into the unstable area. These unstable modes appear as sub-synchronous vibrations in nonlinear analysis. In nonlinear analysis frequency jump phenomenon demonstrated in several experimental studies appears. The analysis results also showed that frequency jump phenomenon occurs when the vibration mode changes and the sequence of unstable mode matches the linear analysis result. However, the natural frequency predicted using linear analysis differs from those obtained using nonlinear analysis.

Correlation of response spectral values in Japanese ground motions

  • Jayaram, Nirmal;Baker, Jack W.;Okano, Hajime;Ishida, Hiroshi;McCann, Martin W. Jr.;Mihara, Yoshinori
    • Earthquakes and Structures
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    • 제2권4호
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    • pp.357-376
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    • 2011
  • Ground motion models predict the mean and standard deviation of the logarithm of spectral acceleration, as a function of predictor variables such as earthquake magnitude, distance and site condition. Such models have been developed for a variety of seismic environments throughout the world. Some calculations, such as the Conditional Mean Spectrum calculation, use this information but additionally require knowledge of correlation coefficients between logarithmic spectral acceleration values at multiple periods. Such correlation predictions have, to date, been developed primarily from data recorded in the Western United States from active shallow crustal earthquakes. This paper describes results from a study of spectral acceleration correlations from Japanese earthquake ground motion data that includes both crustal and subduction zone earthquakes. Comparisons are made between estimated correlations for Japanese response spectral ordinates and correlation estimates developed from Western United States ground motion data. The effect of ground motion model, earthquake source mechanism, seismic zone, site conditions, and source to site distance on estimated correlations is evaluated and discussed. Confidence intervals on these correlation estimates are introduced, to aid in identifying statistically significant differences in correlations among the factors considered. Observed general trends in correlation are similar to previous studies, with the exception of correlation of spectral accelerations between orthogonal components, which is seen to be higher here than previously observed. Some differences in correlations between earthquake source zones and earthquake mechanisms are observed, and so tables of correlations coefficients for each specific case are provided.

고 레이놀즈수 유동의 수치해석시 벽함수 사용에 관한 연구 (A Study of using Wall Function for Numerical Analysis of High Reynolds Number Turbulent Flow)

  • 최정규;김형태
    • 대한조선학회논문집
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    • 제47권5호
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    • pp.647-655
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    • 2010
  • In this paper, a numerical study is carried out for super-pipe, flat plate and axisymmetric body flows to investigate a validity of using wall function and high $y_1^+$ in calculation of high Reynolds number flow. The velocity profiles in boundary layer agree well with the law of the wall. And it is found that the range of $y^+$��which validated the logarithmic law of the wall grows with increasing Reynolds number. From the result, an equation is suggested that can be used to estimate a maximum $y^+$ value of validity of the log law. And the slope(1/$\kappa$) of the log region of the numerical result is larger than that of experimental data. On the other hand, as $y_1^+$ is increasing, both the friction and the pressure resistances tend to increase finely. When using $y_1^+$ value beyond the range of log law, the surface shear stress shows a significant error and the pressure resistance increases rapidly. However, when using $y_1^+$ value in the range, the computational result is reasonable. From this study, the use of the wall function with high value of $y_1^+$ can be justified for a full scale Reynolds number ship flow.

일중 피복온실의 관류열전달계수 산정 (Estimation of Overall Heat Transfer Coefficient for Single Layer Covering in Greenhouse)

  • 황영윤;이종원;이현우
    • 생물환경조절학회지
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    • 제22권2호
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    • pp.108-115
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    • 2013
  • 본 연구의 목적은 일중피복온실의 피복재에 대하여 우리나라 환경에 적합한 관류열전달계수를 산정하는 방법을 찾아내고 검증하여 다양한 온실조건 및 환경조건에서 관류열전달계수를 산정할 수 있는 모델을 제시하는 것이다. 온실내부 및 외부온도와 피복재 표면온도와의 상관관계를 분석한 결과 주간 및 야간 온도를 모두 고려하였을 때보다 야간온도만을 고려하였을 경우가 상관성이 훨씬 더 높은 것으로 나타났다. 피복재의 표면온도가 온실의 외부온도보다는 내부온도와 상관성이 더 높은 것으로 나타났다. 관류열전달계수를 산정하는데 사용된 5가지 종류의 대류 및 복사열전달계수 산정식을 비교한 결과 Kittas가 제안한 대류 및 복사열전달계수 산정식이 가장 적합한 것으로 나타났다. 피복재 표면온도의 측정값과 계산 값의 상관성을 분석한 결과 직선의 기울기는 1.009이고 절편은 0.001이며 결정계수가 0.98로 나타나 본 연구에서 제시된 관류열전달계수 산정모델이 신뢰성이 있음을 확인할 수 있었다. 온실내부로부터 피복재 내부표면으로 전달되는 열흐름량의 경우 모든 풍속구간에 대해 대류열전달량이 복사열전달량보다 더 컸으며 풍속이 증가할수록 그 차이가 증가하였다. 외부표면에서 손실되는 열흐름량의 경우 풍속이 낮을 때에는 대류열전달량에 비해 복사열전달량이 더 컸으나 풍속이 증가함에 따라 그 차이는 점점 줄어들어 풍속이 높을 때에는 대류열전달량이 더 커지는 것으로 나타났다. 피복재 외부 표면의 대류열전달량은 내부표면의 대류열전달량에 직선적으로 비례하여 증가하는 것으로 나타났다. 풍속이 증가함에 따라 관류열전달계수는 증가하고 피복재의 표면 온도는 감소하는 것을 확인할 수 있었고, 변화추세를 보면 관류열전달계수는 거듭제곱함수와 그리고 표면온도는 로그함수와 잘 일치하였다.

침엽수림 상부의 단일층 풍속 관측으로부터의 영면변위 추정에 관하여 (On Estimation of Zero Plane Displacement from Single-Level Wind Measurement above a Coniferous Forest)

  • 유재일;홍진규;권효정;임종환;김준
    • 한국농림기상학회지
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    • 제12권1호
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    • pp.45-62
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    • 2010
  • 영면변위(d)는 거친 식생군락에 의해 운동량이 모두 흡수되어 군락 내의 대수적 풍속 프로파일이 0이 되는 높이를 말한다. 군락의 표면 거칠기의 구조를 나타내는 영면변위는 군락난류의 분석과 지표 스칼라 플럭스의 계산에 매우 중요하다. 본 단보에서는 Monin-Obukhov 상사이론에 기반을 두고 단일층에서 관측된 평균수평풍속 자료를 사용하는 두 가지 다른 방법을 사용하여 광릉침엽수림에서 d 값을 추정하였다. 관측지의 비균질성과 복잡성을 고려해서, 표면거칠기와 바람체계가 d에 미칠수 있는 영향을 살펴보기 위해, 자료를 매 $30^{\circ}$ 간격의 풍향별로 나누었다. 전반적으로 두 방법을 사용한 결과는 서로 비슷했는데, $d/h_c$ (여기서 $h_c$는 군락의 높이로서 약 ~23m)는 풍향에 따라 0.51~0.97의 범위를 보였다. 이러한 $d/h_c$의 값의 범위는 문헌에 보고되어 있는 범위(0.64~0.94)와 크게 다르지 않았으나, 다소 높은 쪽에 분포되어 있었다. 이러한 원인의 하나로는 관측이 두 방법의 전제인 Monin-Obukhov 상사이론이 성립하지 않는 거칠기아층에서 이루어졌기 때문인 것으로 사료된다. 따라서 관측높이가 거칠기 아층에 존재할 경우에는 단일층 풍속으로부터 영면변위를 추정하는 방법을 적용하고 그 결과를 해석하는 데에 세심한 주의가 필요하다.