• 제목/요약/키워드: Non-linear relationship

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Estimating the compressive strength of HPFRC containing metallic fibers using statistical methods and ANNs

  • Perumal, Ramadoss;Prabakaran, V.
    • Advances in concrete construction
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    • v.10 no.6
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    • pp.479-488
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    • 2020
  • The experimental and numerical works were carried out on high performance fiber reinforced concrete (HPFRC) with w/cm ratios ranging from 0.25 to 0.40, fiber volume fraction (Vf)=0-1.5% and 10% silica fume replacement. Improvements in compressive and flexural strengths obtained for HPFRC are moderate and significant, respectively, Empirical equations developed for the compressive strength and flexural strength of HPFRC as a function of fiber volume fraction. A relation between flexural strength and compressive strength of HPFRC with R=0.78 was developed. Due to the complex mix proportions and non-linear relationship between the mix proportions and properties, models with reliable predictive capabilities are not developed and also research on HPFRC was empirical. In this paper due to the inadequacy of present method, a back propagation-neural network (BP-NN) was employed to estimate the 28-day compressive strength of HPFRC mixes. BP-NN model was built to implement the highly non-linear relationship between the mix proportions and their properties. This paper describes the data sets collected, training of ANNs and comparison of the experimental results obtained for various mixtures. On statistical analyses of collected data, a multiple linear regression (MLR) model with R2=0.78 was developed for the prediction of compressive strength of HPFRC mixes, and average absolute error (AAE) obtained is 6.5%. On validation of the data sets by NNs, the error range was within 2% of the actual values. ANN model has given the significant degree of accuracy and reliability compared to the MLR model. ANN approach can be effectively used to estimate the 28-day compressive strength of fibrous concrete mixes and is practical.

Statistical Analysis on Process Variables in Linear Roll-CMP (선형 Roll-CMP에서 공정변수에 관한 통계적 분석)

  • Wang, Han;Lee, Hyunseop;Jeong, Haedo
    • Tribology and Lubricants
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    • v.30 no.3
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    • pp.139-145
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    • 2014
  • Nowadays, most micro-patterns are manufactured during flow line production. However, a conventional rotary chemical mechanical polishing (CMP) system has a limited throughput for the fabrication of large and flexible electronics. To overcome this problem, we propose a novel linear roll-CMP system for the planarization of large-area electronics. In this paper, we present a statistical analysis on the linear roll-CMP process of copper-clad laminate (CCL) to determine the impacts of process parameters on the material removal rate (MRR) and its non-uniformity (NU). In the linear roll-CMP process, process parameters such as the slurry flow rate, roll speed, table feed rate, and down force affect the MRR and NU. To determine the polishing characteristics of roll-CMP, we use Taguchi's orthogonal array L16 (44) for the experimental design and F-values obtained by the analysis of variance (ANOVA). We investigate the signal-to-noise (S/N) ratio to identify the prominent control parameters. The "higher is better" for the MRR and "lower is better" for the NU were selected for obtaining optimum CMP performance characteristics. The experimental and statistical results indicate that the down force and roll speed mainly affect the MRR and the down force and table feed rate determine the NU in the linear roll-CMP process. However, over 186.3 N of down force deteriorates the NU because of the bending of substrate. Roll speed has little relationship to the NU and the table feed rate does not impact on the MRR. This study provides information on the design parameter of roll-CMP machine and process optimization.

Analysis of Relationships Among the Pollutant Concentrations in Non-urban Area (비도시 유역에서 수질오염물질 사이의 상관관계 분석)

  • Jeon, Ji-Hong;Ham, Jong-Hwa;Yoon, Chun-Gyeong
    • Korean Journal of Ecology and Environment
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    • v.34 no.3 s.95
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    • pp.215-222
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    • 2001
  • A statistical analysis was performed to evaluate relationships among the pollutant concentrations in non-urban area. The data obtained from two subcatchments in Hwa-Ong watershed during 1999 was used for correlation and regression analyses. Strong correlations were observed among the SS, COD, and TP, while it was not significant with TN. The reason fer weak correlation with TN might be that TN was high in dry-days and runoff in wet-days could not increase enough to change it substantially like in other pollutants. The correlations were stronger for the data in wet-days than in dry-days, and it was influenced by watershed characteristics. While TP-COD showed linear relationship from the regression analysis, SS-TP and SS-COD shelved intrinsically linear relationship between log-transformed TP and COD data and non-transformed SS data. The TP-COD showed strong relationship for all the combinations of monitored data, which implies that these two constituent concentrations varied in a similar pattern. The regression equations reported in the paper might be used to estimate one pollutant concentration from the other in pollutant loading estimates, and its application could be expanded to other non-urban watersheds if their characteristics are not significantly different from the study area. In water quality management projects, rigorous monitoring and its thorough evaluation are recommended to develop more reliable relationships among the pollutant concentrations which could be used in other area.

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Trajectory Estimation of a Moving Object using Kohonen Networks

  • Ju, Jin-Hwa;Lee, Dong-Hui;Lee, Jae-Ho;Lee, Jang-Myung
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.2033-2036
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    • 2004
  • A novel approach to estimate the real time moving trajectory of an object is proposed in this paper. The object position is obtained from the image data of a CCD camera, while a state estimator predicts the linear and angular velocities of the moving object. To overcome the uncertainties and noises residing in the input data, a Kalman filter and neural networks are utilized. Since the Kalman filter needs to approximate a non-linear system into a linear model to estimate the states, there always exist errors as well as uncertainties again. To resolve this problem, the neural networks are adopted in this approach, which have high adaptability with the memory of the input-output relationship. Kohonen Network(Self-Organized Map) is selected to learn the motion trajectory since it is spatially oriented. The superiority of the proposed algorithm is demonstrated through the real experiments.

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An application of mutual information in mathematical statistics education

  • Yi, Seongbaek;Jang, Dae-Heung
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.4
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    • pp.1017-1025
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    • 2015
  • In mathematical statistics education, we can use mutual information as a tool for evaluating the degree of dependency between two random variables. The ordinary correlation coefficient provides information only on linear dependency, not on nonlinear relationship between two random variables if any. In this paper as a measure of the degree of dependency between random variables, we suggest the use of symmetric uncertainty and ${\lambda}$ which are defined in terms of mutual information. They can be also considered as generalized correlation coefficients for both linear and non-linear dependence of random variables.

A Robust Fault Detection method for Uncertain Systems with Modelling Errors (모델링 오차를 갖는 불확정 시스템에서의 견실한 이상 검출기)

  • 권오주;이명의
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.7
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    • pp.729-739
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    • 1990
  • This paper deals with the fault detection problem in uncertain linear/non-linear systems having both undermodelling and noise. A robust fault detection method is presented which accounts for the effects of noise, model mismatch and nonlinearities. The basic idea is to embed the unmodelled dynamics in a stochastic process and to use the nominal model with a predetermined fixed denominator. This allows the input /output relationship to be represented as a linear function of the system parameters and also facilitate the quatification of the effect of noise, model mismatch and linearization errors on parameter estimation by the Bayesian method. Comparisons are made via simulations with traditional fault detection methods which do not account for model mismatch or linearization errors. The new method suggested in this paper is shown to have a marked improvement over traditional methods on a number of simulations, which is a consequence of the fact that the new method explicitly for the effects of undermodelling and linearization errors.

Properties of Urea-Formaldehyde Resin Adhesives with Different Formaldehyde to Urea Mole Ratios

  • Park, Byung-Dae
    • Journal of the Korean Wood Science and Technology
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    • v.35 no.5
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    • pp.67-75
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    • 2007
  • As a part of abating the formaldehyde emission of urea-formaldehyde (UF) resin adhesive by lowering formaldehyde to urea (F/U) mole ratio, this study was conducted to investigate properties of UF resin adhesive with different F/U mole ratios. UF resin adhesives were synthesized at different F/U mole ratios of 1.6, 1.4, 1.2, and 1.0. Properties of UF resin adhesives measured were non-volatile solids content, pH level, viscosity, water tolerance, specific gravity, gel time and free formaldehyde content. In addition, a linear relationship between non-volatile solids content and sucrose concentration measured by a refractometer was established for a faster determination of the non-volatile solids content of UF resin. As F/U mole ratio was lowered, non-volatile solids content, pH, specific gravity, water tolerance, and gel time increased while free formaldehyde content and viscosity were decreased. These results suggested that the amount of free formaldehyde strongly affected the reactivity of UF resin. Lowering F/U mole ratio of UF resin as a way of abating formaldehyde emission consequently requires improving its reactivity.

A Study on the Non-representational Architecture in Comparing between Perspectiva artificialis and Digital Modelling Method (투시도법과 디지털 표현방식의 비교를 통한 비표상적 건축에 관한 연구)

  • Jung, In-Ha
    • Journal of architectural history
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    • v.12 no.2 s.34
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    • pp.21-39
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    • 2003
  • After a digital modelling method has been introduced into architectural design in 1990s, a radical change was taken place in generating architectural form and space. Many architects have a view that digital modelling method is the most Important invention in the visual presentation since the moment that architect Philippo Brunelleschi experimented initially the linear perspective. Therefore, in this study, comparing between perspectiva artificialis and digital modelling method, we clarify 1) the relationship of architectural design and presentation method, 2) the practical and philosophical background inherent in digital modelling method which played key role in developing non-representational architecture, 3) and the principles of non-representational architecture like diagram, folding, and trace.

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Application of Theory of Reasoned Action in u-Tour System (유투어 시스템에서의 합리적 행동이론 적용)

  • Kim, Mincheol
    • Journal of Digital Convergence
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    • v.12 no.12
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    • pp.217-225
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    • 2014
  • The objective of this study is to propose the implications using theory of reasoned action(TRA) on u-Tour system. This research model through TRA is consisted as three constructs: user-friendliness(cognitive), perceived usefulness(cognitive) and purchase intention(affective). This study analyzes with a total of 153 respondents and used PLS-SEM method considering the small number of samples. Also, with the analysis, WarpPLS software is used in order to ferret out non-linear relationship between the constructs of research model. As a result of analysis, this research model shows statistical level significantly on proposed hypotheses and the applicability of TRA model in u-Tour system. Furthermore, additional analysis presents the possibility of non-linear relationship on each path between the constructs of research model showing J-shape. Also, the result showes the fact that the relationship had partly negative (-) effect on dependent factor. Additional analysis proposes that income variable as base of purchase intention has a moderating effect on all paths of research model.

Estimating TOC Concentrations Using an Optically-Active Water Quality Factors in Estuarine Reservoirs (광학특성을 가진 수질변수를 활용한 하구 담수호 내 TOC 농도 추정)

  • Kim, Jinuk;Jang, Wonjin;Shin, Jaeki;Kang, Euntae;Kim, Jinhwi;Park, Yongeun;Kim, Seongjoon
    • Journal of Korean Society on Water Environment
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    • v.37 no.6
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    • pp.531-538
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    • 2021
  • In this study, the TOC in six estuarine reservoirs in the West Sea (Ganwol, Namyang, Daeho, Bunam, Sapkyo, and Asan) was estimated using optically-active water quality factors by the water environment monitoring network. First, specification data and land use maps of each estuarine reservoir were collected. Subsequently, water quality data from 2013 to 2020 were collected. The data comprised of 11 parameters: pH, dissolved oxygen, BOD, COD, suspended solids (SS), total nitrogen, total phosphorus, water temperature, electrical conductivity, total coliforms, and chlorophyll-a (Chl-a). The TOC in the estuarine reservoirs was 4.9~7.0 mg/L, with the highest TOC of 7.0 mg/L observed at the Namyang reservoir, which has a low shape coefficient and high drainage density. The correlation of TOC with water quality factors was also analyzed, and the correlation coefficients of Chl-a and SS were 0.28 and 0.19, respectively, while the correlation coefficients of these factors in the Namyang reservoir were 0.42 and 0.27, respectively. To improve the estimation of TOC using Chl-a and SS, the TOC was averaged in 5 mg/L units, and Chl-a and SS were averaged. Correlation analysis was then performed and the R2 of Chl-a-TOC was 0.73. The R2 of SS-TOC was 0.73 with a non-linear relationship. TOC had a significant non-linear relationship with Chl-a and SS. However, the relationship should be assessed in terms of the spatial and temporal variations to construct a reliable remote sensing system.