• Title/Summary/Keyword: Function Representation

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A Study on the Quantitative Rehabilitation Extent Evaluation Method Using High-Order Function Waveform Analysis of EMG Signal (근전도 신호의 고차함수분석법을 이용한 정량적 재활정도 평가에 관한 연구)

  • Moon, D.J.;Kim, J.Y.;Noh, S.C.;Choi, H.H.
    • Journal of rehabilitation welfare engineering & assistive technology
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    • v.8 no.4
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    • pp.305-312
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    • 2014
  • In this study, in order to quantitatively confirm walking rehabilitation degree, we analyzed EMG pattern simulated abnormal gait and normal gait by applying a curve fitting. We calculated the suitable high-order function for EMG signal, and classified them into 5 groups by using cluster analysis. Depending on the distance from normal pattern group, we listed the pattern group and then the distribution of each variables were confirmed. The amplitude-decreased pattern was the most similar to the normal pattern, but the reversed pattern showed the lowest similarity. Due to the smaller overlapping range, the distribution of the groups were possible to classify using the value of variable. The standard deviation of each term coefficient was compared to indicate the quantitative rehabilitation extent, and the higher value was confirmed as the pattern is close to the normal pattern. Consequently, the representation of quantitative rehabilitation extent is expected to contribute to the more effective rehabilitation method study.

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Aeromagnetic Pre-processing Software Based on Graphic User Interface, KMagLevellingTM (그래픽 사용자 인터페이스 기반 항공자력탐사 전처리 S/W, KMagLevellingTM)

  • Ko, Kwang-Beom;Jung, Sang-Won
    • Geophysics and Geophysical Exploration
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    • v.17 no.3
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    • pp.171-178
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    • 2014
  • Aeromagnetic survey generally require much more pre-processing steps than that of common land survey due to several complex and cumbersome steps included in pre-processing stage. Therefore it is desirable to use specific processing tool especially based on graphic user interface. For this purpose, aeromagnetic pre-processing software based on graphic user interface under the Windows environment, called $KMagLevelling^{TM}$ was developed and briefly introduced. In an aspect of its user-friendliness and originality, three noticeable features of $KMagLevelling^{TM}$ are summarized as the following (1) function of representation and handling for large amount of aeromagnetic data set as a visualization in the form of flight-path (2) function of selective exclusion of unwanted data by using survey area information expressed as polygon, and (3) function of selective removal processing for the irregular flight-path data acquired within the entire survey area by implementing the segmentation of flight-path technique.

Multivariate empirical distribution functions and descriptive methods (다변량 경험분포함수와 시각적인 표현방법)

  • Hong, Chong Sun;Park, Jun;Park, Yong Ho
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.1
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    • pp.87-98
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    • 2017
  • The multivaiate empirical distribution function (MEDF) is defined in this work. The MEDF's expectation and variance are derived and we have shown the MEDF converges to its real distribution function. Based on random samples from bivariate standard normal distribution with various correlation coefficients, we also obtain MEDFs and propose two kinds of graphical methods to visualize MEDFs on two dimensional plane. One is represented with at most n stairs with similar arguments as the step function, and the other is described with at most n curves which look like bivariate quantile vector. Even though these two descriptive methods could be expressed with three dimensional space, two dimensional representation is obtained with ease and it is enough to explain characteristics of bivariate distribution functions. Hence, it is possible to visualize trivariate empirical distribution functions with three dimensional quantile vectors. With bivariate and four variate illustrative examples, the proposed MEDFs descriptive plots are obtained and explored.

SHM-based probabilistic representation of wind properties: statistical analysis and bivariate modeling

  • Ye, X.W.;Yuan, L.;Xi, P.S.;Liu, H.
    • Smart Structures and Systems
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    • v.21 no.5
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    • pp.591-600
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    • 2018
  • The probabilistic characterization of wind field characteristics is a significant task for fatigue reliability assessment of long-span railway bridges in wind-prone regions. In consideration of the effect of wind direction, the stochastic properties of wind field should be represented by a bivariate statistical model of wind speed and direction. This paper presents the construction of the bivariate model of wind speed and direction at the site of a railway arch bridge by use of the long-term structural health monitoring (SHM) data. The wind characteristics are derived by analyzing the real-time wind monitoring data, such as the mean wind speed and direction, turbulence intensity, turbulence integral scale, and power spectral density. A sequential quadratic programming (SQP) algorithm-based finite mixture modeling method is proposed to formulate the joint distribution model of wind speed and direction. For the probability density function (PDF) of wind speed, a double-parameter Weibull distribution function is utilized, and a von Mises distribution function is applied to represent the PDF of wind direction. The SQP algorithm with multi-start points is used to estimate the parameters in the bivariate model, namely Weibull-von Mises mixture model. One-year wind monitoring data are selected to validate the effectiveness of the proposed modeling method. The optimal model is jointly evaluated by the Bayesian information criterion (BIC) and coefficient of determination, $R^2$. The obtained results indicate that the proposed SQP algorithm-based finite mixture modeling method can effectively establish the bivariate model of wind speed and direction. The established bivariate model of wind speed and direction will facilitate the wind-induced fatigue reliability assessment of long-span bridges.

A Review of the Role of Domain in Representational Activities for Forming the Concept of Linear Functions (일차함수의 개념형성을 위한 표상활동에서 정의역의 역할에 대한 고찰)

  • Kim, Jin-Hwan
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.49-65
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    • 2010
  • The purpose of this study is to encourage the role of domain to consider the teaching of the concept of functions in modeling real situations. To do this, it is analyzed that how to introduce the concept of functions and linear functions in textbooks treated in the 1st grade and the 2nd grade of middle school. This study also reviewed the role of domain in representational activities for modeling real situations using linear functions. In these reviews, it found that many textbooks do not consider the domain in the equations of functions and these graphs and several text books used linear functions for modeling real situations which are not represented by linear functions contextually. It is concluded that the domain of function is an important concept that will be considered any representational activities for functions.

Study on Data Normalization and Representation for Quantitative Analysis of EEG Signals (뇌파 신호의 정량적 분석을 위한 데이터 정규화 및 표현기법 연구)

  • Hwang, Taehun;Kim, Jin Heon
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.9 no.6
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    • pp.729-738
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    • 2019
  • Recently, we aim to improve the quality of virtual reality contents based on quantitative analysis results of emotions through combination of emotional recognition field and virtual reality field. Emotions are analyzed based on the participant's vital signs. Much research has been done in terms of signal analysis, but the methodology for quantifying emotions has not been fully discussed. In this paper, we propose a normalization function design and expression method to quantify the emotion between various bio - signals. Use the Brute force algorithm to find the optimal parameters of the normalization function and improve the confidence score of the parameters found using the true and false scores defined in this paper. As a result, it is possible to automate the parameter determination of the bio-signal normalization function depending on the experience, and the emotion can be analyzed quantitatively based on this.

A Study of Characteristics and Types of Congressional Records (의회기록의 특질과 종류)

  • Lee, Won-young
    • The Korean Journal of Archival Studies
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    • no.9
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    • pp.110-142
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    • 2004
  • This paper treated what are congressional records which are one of core fields of national records and what kind of significant records they have. The characteristics of "substantive records" of the institution among public records are as follows: firstly, their contents depend on the inherent function of the institution; secondly, their types differ by the character of basic unit(member); thirdly, their sources are determined by the character of institution. Starting from the above points of view, the contents, characteristics, main sources, and types by sources of congressional records were presented. They are summarized as follows. In Chapter 2, the substantial records, which document the intrinsic function of congress on the basis of analyses of inherent function and structural uniqueness of congress have natures of which the contents are "legislative records", "oversight records", and "political activity records" starting from the inherency of congress as the people's representation. The typical natures of congress records are related with the specialty that the basic unit of congress structure is an individual congressman as an indepent national institution and congress is a council of these congressmen. Firstly, the records of congressmen as basic member of congress are the national records with the type of personal records. Secondly, "council records" produced by the council (commettee and main conference), which have evidencial and informative value for decision making through the process of investigating, discussing and voting bill and policy (item) of the basis for national management, are very special kind of records, such as item records, decision records, journal records, and congress assistant records. Because congressmen and councils composing congress have an equal inter-relationship in the structure of congress, the main sources of congress records are an individual congressman and all the councils. In chapter 3, the contents and sorts of main records are discribed, centering around congressmen and councils as the main sources of congress records. In chapter 4, the management of records of congressmen is issued as an urgent subject for the management of congress records, instead of conclusions.

Concepts of System Function and Modulation-Demodulation based Reconstruction of a 3D Object Coordinates using Active Method (시스템 함수 및 변복조 개념 적용 능동 방식 3차원 물체 좌표 복원)

  • Lee, Deokwoo;Kim, Jisu;Park, Cheolhyeong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.5
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    • pp.530-537
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    • 2019
  • In this paper we propose a novel approach to representation of the 3D reconstruction problem by employing a concept of system function that is defined as the ratio of the output to the input signal. Akin to determination of system function (or system response), this paper determines system function by choosing (or defining) appropriate input and output signals. In other words, the 3D reconstruction using structured circular light patterns is reformulated as determination of system function from input and output signals. This paper introduces two algorithms for the reconstruction. The one defines the input and output signals as projected circular light patterns and the images overlaid with the patterns and captured by camera, respectively. The other one defines input and output signals as 3D coordinates of the object surface and the image captured by camera. The first one leads to the problem as identifying the system function and the second one leads to the problem as estimation of an input signal employing concept of modulation-demodulation theory. This paper substantiate the proposed approach by providing experimental results.

A Literature Study on the Construction of Sasang Constitutional Medicine on the basis of Channel-qi theory (경기론(經氣論)에 근거(根據)한 사상체질(四象體質) 형성(形成)에 관한 문헌적(文獻的) 고찰(考察))

  • Kim, Sung-Chul
    • Journal of Sasang Constitutional Medicine
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    • v.15 no.2
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    • pp.38-57
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    • 2003
  • Objective: The purpose of this study is to discourse upon that the construction of Sasang Constitutional Medicine has a significant property of Oriental Medicine by explaining the disparity of the viscera and bowels of four constitutions through the special quality of ying-qi and wei-qi circulating in human body on the basis of the channel-qi theory of ${\ulcorner}Huangdi$ $Neijing{\lrcorner}$ Conclusion: 1. Primordial-qi is the congenital essence inherited from the parents and pectoral-qi, ying-qi and wei-qi is the acquired essence derived from the food and air that human eat and breathe. 2. Ying-qi and wei-qi circulates in the meridian system by the strength and pushing of pectoral-qi under the influence of primordial-qi 3. Ying-qi, by the pushing function of pectoral-qi, determines large lung-small liver and small lung-large liver according to the innate quantity of qi and blood. 4. Wei-qi, by the pushing function of pectoral-qi, determines large spleen-small kidney and small spleen-large kidney according to the innate quantity of qi and blood. 5. The heart in the theory of the meridian system's fetus-nourishing and Sasang Constitutional Medicine is involved in the formation of viscera and bowels as governing human body and seven emotions. 6. It is considered that Taiyang person and Taiyin person have the constitution influenced by ying-qi. 7. It is considered that Shaoyang person and Shaoyin person have the constitution influenced by wei-qi. The inquiry into several literatures on the basis of the channel-qi theory of ${\ulcorner}Huangdi$ $Neijing{\lrcorner}$ leads us to the idea that the construction of Sasang Constitotional Medicine is another well-implied representation of the property of the meridian doctrine in the existing Oriental Medicine. And it is considered that the more continual studies of literatures and Sasang Constitutional Medicine Acupuncture are necessary henceforth.

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Statistical Modeling of Learning Curves with Binary Response Data (이항 반응 자료에 대한 학습곡선의 모형화)

  • Lee, Seul-Ji;Park, Man-Sik
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.433-450
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    • 2012
  • As a worker performs a certain operation repeatedly, he tends to become familiar with the job and complete it in a very short time. That means that the efficiency is improved due to his accumulated knowledge, experience and skill in regards to the operation. Investing time in an output is reduced by repeating any operation. This phenomenon is referred to as the learning curve effect. A learning curve is a graphical representation of the changing rate of learning. According to previous literature, learning curve effects are determined by subjective pre-assigned factors. In this study, we propose a new statistical model to clarify the learning curve effect by means of a basic cumulative distribution function. This work mainly focuses on the statistical modeling of binary data. We employ the Newton-Raphson method for the estimation and Delta method for the construction of confidence intervals. We also perform a real data analysis.