• Title/Summary/Keyword: Root finding

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Business Process Analysis Based on Event-driven Process Chain Model (EPC 모델 기반의 비즈니스 프로세스 분석)

  • Kang, Jun-Gyu;Lim, Seung-Kil
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.36 no.3
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    • pp.34-42
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    • 2013
  • In this study, we develop a method for analyzing business process based on the event-driven process chain (EPC) model. The method consists of five stages such as identifying abnormal events, finding causes for the abnormal events and problems caused by the abnormal events, making cause-and-effect chains, drawing root-cause map, and defining improvement areas. We illustrate how to apply the method with some examples for the domestic registered mail delivery process.

Wakeby Distribution and the Maximum Likelihood Estimation Algorithm in Which Probability Density Function Is Not Explicitly Expressed

  • Park Jeong-Soo
    • Communications for Statistical Applications and Methods
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    • v.12 no.2
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    • pp.443-451
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    • 2005
  • The studied in this paper is a new algorithm for searching the maximum likelihood estimate(MLE) in which probability density function is not explicitly expressed. Newton-Raphson's root-finding routine and a nonlinear numerical optimization algorithm with constraint (so-called feasible sequential quadratic programming) are used. This algorithm is applied to the Wakeby distribution which is importantly used in hydrology and water resource research for analysis of extreme rainfall. The performance comparison between maximum likelihood estimates and method of L-moment estimates (L-ME) is studied by Monte-carlo simulation. The recommended methods are L-ME for up to 300 observations and MLE for over the sample size, respectively. Methods for speeding up the algorithm and for computing variances of estimates are discussed.

The Pedagogical Analysis of the History of Mathematics on Newton's Binomial Theorem (뉴턴의 이항정리에 대한 수학사의 교수법적 고찰)

  • Cho, Cheong-Soo
    • Communications of Mathematical Education
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    • v.23 no.4
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    • pp.1079-1092
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    • 2009
  • The purpose of this study is to investigate Newton's binomial theorem that was on epistemological basis of the emergent background and developmental course of infinite series and power series. Through this investigation, it will be examined how finding the approximate of square root of given numbers, the method of the inverse method of fluxions by Newton, and Gregory and Mercator series were developed in the course of history of mathematics. As the result of this study pedagogical analysis and discussion of the history of mathematics on Newton's binomial theorem will be presented.

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Rethinking the US Presidential Election: Feminism and Big Data

  • CHUNG, Sae Won;PARK, Han Woo
    • International Journal of Contents
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    • v.17 no.4
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    • pp.52-61
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    • 2021
  • The 2020 US Presidential Election was a highly-anticipated moment for our global society. During the election period, the most intriguing issue was who would be the winner-Trump or Biden? Among the possible main themes of the 2020 election, from the COVID-19 pandemic to racism, this study focused on feminism ('women') as a main component of Biden's victory. To explore the character of Biden's supporters, this paper focused on internet spaces as a source of public opinion. To guide the data analysis, this study employed four indices from empirical studies on Big Data analytics: issue salience, attention diversity, emotional mentioning, and semantic cohesion. The main finding of this study was that the representative keyword 'women' appeared more prevalently within content related to Biden than Trump, and the keyword pairs indicated that female voters were the main reason for Trump's failure but the root cause of Biden's victory. The results of this study indicated the role of the internet as a forum for public opinion and a fountain of political knowledge, which requires more rigorous investigation by researchers.

Study on characteristics of cavitating flow around vortex generators (와류 발생기의 공동 유동 특성에 관한 연구)

  • Ji-Woo Hong;Young-Jin Kim;Byoung-Kwon Ahn
    • Journal of the Korean Society of Visualization
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    • v.21 no.3
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    • pp.85-92
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    • 2023
  • In this study, we present experimental results of cavitating flow around a vortex generator which is used to improve the flow in the wake of ships and enhance propulsion efficiency. We conducted experiments at the CNU cavitation tunnel on a total of six vortex generators, two different aspect ratios and three taper ratios. We recorded cavity patterns using a high-speed camera and quantitatively evaluated cavity fraction using OpenCV. The most important finding of this study is that the vortex cavity generated at a root leading edge of the vortex generator develops at a specific angle.

Prediction of Delivery Quality Assurance Via Machine Learning in Helical Tomotherapy (방사선치료 시 다양한 기계학습을 이용한 선량품질관리 결과의 예측)

  • Kyung Hwan Chang
    • Journal of radiological science and technology
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    • v.47 no.4
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    • pp.263-270
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    • 2024
  • The objective of this study was to evaluate the accuracy and impact of leaf open time (LOT) and pitch using various machine learning models on EBT film-based delivery quality assurance (DQA) performed on 211 patients of helical tomotherapy (HT). We randomly selected passed (n=191) and failed (n=20) DQA measurements to evaluate the accuracy of the k-nearest neighbor (KNN), support vector machine (SVM), naive Bayes (NB) and logistic regression (LR) models using scale-dependent metrics such as the coefficient of determination (R2), mean squared error (MSE), and root MSE (RMSE). We evaluated the performance of the four prediction models in terms of the accuracy, precision, sensitivity, and F1-score using a confusion matrix, finding the NB and LR models to achieve optimal results. The results of this study are expected to reduce the workload of medical physicists and dosimetrists by predicting DQA results according to LOT and pitch in advance.

An explicit approximation of the central angle for the curved interface in double-circle model for horizontal two-phase stratified flow

  • Taehwan Ahn;Dongwon Jeong;Jin-Yeong Bak;Jae Jun Jeong;Byongjo Yun
    • Nuclear Engineering and Technology
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    • v.56 no.8
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    • pp.3139-3143
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    • 2024
  • Stratified flow in horizontal tubes is frequently observed in gas-liquid two-phase flow system. In the two-fluid modeling, it is important to define the interface shape in solving the balance equations to determine the key parameters such as the interfacial transfer terms, void fraction, and pressure drop. A double-circle model is usually introduced to depict the concave-down interface in a horizontal circular tube under the stratified-wavy flow condition. However, calculation of the central angle in the double-circle model, which represents the interfacial curvature, requires an appropriate iterative numerical root-finding scheme to solve the implicit transcendental equation. In this study, an explicit approximate equation has been proposed without requirement of the iterative scheme and numerical instability, which is expected to improve the coding process and computation efficiency in the analysis code with the two-fluid model.

Maxillary Incisor Replacement with the Ectopically Erupting Canine : Case Reports (이소맹출하는 견치의 상악 전치로의 대체사용 : 증례보고)

  • Lim, Jieun;Choi, Sungchul;Park, Jaehong;Choi, Yeongchul;Kim, Kwangchul;Ann, Hyojung
    • Journal of the korean academy of Pediatric Dentistry
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    • v.40 no.4
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    • pp.335-341
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    • 2013
  • Impacted maxillary canines are the most frequently impacted teeth after the third molars. The exact etiology of impacted maxillary canines is unknown, but several complications may result from impacted maxillary canines. An early detection of ectopically erupting teeth can lead to performing interceptive treatment such as early extraction of primary canine and provide the best long-term results. In the absence of prevention, clinicians should consider orthodontic treatment followed by surgical exposure of the canine to bring it into occlusion. However, in cases when the finding ectopically erupting teeth and severe root resorption of adjacent teeth are found late, malposed canine can replace the injured teeth. In these presented cases, early diagnosis and treatment of ectopic eruption and root resorption were not performed. The maxillary incisor replacement with ectopically erupting canine can be the alternative treatment of choice with successful results. The reconstructed canine is planned to be checked periodically for the condition of composite resin restoration. Orthodontic treatment and dental implant are planned. This report shows that when early diagnosis was not done, maxillary incisor replacement with ectopically erupting canine could prevent uncertain prognosis of the adjacent teeth with root resorption and provide esthetic satisfactory with time saved and cost reduced.

A Rapid Screening for Aluminum-tolerant and -sensitive in Barley (Hordeum vulgare L.) and Plasma Membrane H+-ATPase Expression (알루미늄 내성과 민감성 보리의 빠른 screening과 원형질막 H+-ATPase의 발현)

  • Kim, Hyun-Sung;Oh, Jung-Min;Ahn, Sung-Ju
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.56 no.1
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    • pp.72-79
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    • 2011
  • Here we report a simple screening system using hematoxylin staining (HS) of the root apex. It allowed rapid classification into different aluminum (Al) tolerance from 65 cultivars within one week. Using this system, we selected the most Al-tolerant (Jayae-2) and-sensitive (Pum-2) barley (Hordeum vulgare L.) The results show that the different responses in Al-induced growth inhibition, Al accumulation and expression of plasma membrane (PM) $H^+$-ATPase in root apices of selected two cultivars. It showed strongly Al-induced growth inhibition in a dosedependant manner only in Pum-2 but not in Jayae-2. Aluminum accumulation in root apices (10 mm) was significantly higher in Pum-2 only. The $H^+$-ATPase expression of PM vesicles by western blotting was decreased in Pum-2 but not in Jayae-2 treated with $20{\mu}M$ Al for 24 h. These finding indicate to screen from our system is rapid and reliable and to sustain the expression of PM $H^+$-ATPase at translational level is an important role in root growth as affected by Al.

A Variable Latency Goldschmidt's Floating Point Number Square Root Computation (가변 시간 골드스미트 부동소수점 제곱근 계산기)

  • Kim, Sung-Gi;Song, Hong-Bok;Cho, Gyeong-Yeon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.1
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    • pp.188-198
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    • 2005
  • The Goldschmidt iterative algorithm for finding a floating point square root calculated it by performing a fixed number of multiplications. In this paper, a variable latency Goldschmidt's square root algorithm is proposed, that performs multiplications a variable number of times until the error becomes smaller than a given value. To find the square root of a floating point number F, the algorithm repeats the following operations: $R_i=\frac{3-e_r-X_i}{2},\;X_{i+1}=X_i{\times}R^2_i,\;Y_{i+1}=Y_i{\times}R_i,\;i{\in}\{{0,1,2,{\ldots},n-1} }}'$with the initial value is $'\;X_0=Y_0=T^2{\times}F,\;T=\frac{1}{\sqrt {F}}+e_t\;'$. The bits to the right of p fractional bits in intermediate multiplication results are truncated, and this truncation error is less than $'e_r=2^{-p}'$. The value of p is 28 for the single precision floating point, and 58 for the doubel precision floating point. Let $'X_i=1{\pm}e_i'$, there is $'\;X_{i+1}=1-e_{i+1},\;where\;'\;e_{i+1}<\frac{3e^2_i}{4}{\mp}\frac{e^3_i}{4}+4e_{r}'$. If '|X_i-1|<2^{\frac{-p+2}{2}}\;'$ is true, $'\;e_{i+1}<8e_r\;'$ is less than the smallest number which is representable by floating point number. So, $\sqrt{F}$ is approximate to $'\;\frac{Y_{i+1}}{T}\;'$. Since the number of multiplications performed by the proposed algorithm is dependent on the input values, the average number of multiplications per an operation is derived from many reciprocal square root tables ($T=\frac{1}{\sqrt{F}}+e_i$) with varying sizes. The superiority of this algorithm is proved by comparing this average number with the fixed number of multiplications of the conventional algorithm. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a square root unit. Also, it can be used to construct optimized approximate reciprocal square root tables. The results of this paper can be applied to many areas that utilize floating point numbers, such as digital signal processing, computer graphics, multimedia, scientific computing, etc.