• Title/Summary/Keyword: limit function

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Korean Mothers' Ideal and Actual Parenting Behaviors Toward their Young Children as a Function of Child Gender, Age, and Birth Order

  • Park, Sung-Yun;Kim, Min-Jung
    • International Journal of Human Ecology
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    • v.7 no.2
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    • pp.85-95
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    • 2006
  • The purpose of this study was to examine mothers' ideal and actual parenting behaviors toward their infants in three parenting domains; social, didactic, and limit setting. A total of 264 mothers of young children under age three from Seoul, Korea completed Parental Style Questionnaires (PSQ). Mothers' self report on their ideal and actual parenting were explored as a function of child sex, age, and birth order. As expected, there were significant differences between mothers' ideal and actual behaviors in all three parenting domains: Mothers' ideal behaviors such as social interaction, didactic interaction and limit setting were higher than those of their actual behaviors. For mothers' ideal parenting, results revealed neither significant main effects nor interaction effects. However, the Parenting Domain x Birth-Order 2-way interaction and the Parenting Domain x Child Age 2-way interaction were significant for mothers' actual behaviors. Specifically, mothers reported more social and didactic behaviors with their first-born than later born children, but not for limit setting behavior. It was also found that higher limit setting behaviors were apparent for their 2- and 3-year-old than 1-year old children whereas lower social interactions were found for 3-year-old than for 1-year-old. In light of universality and uniqueness, mothers' parenting behavior toward young children has been discussed.

Filtering Motion Vectors using an Adaptive Weight Function (적응적 가중치 함수를 이용한 모션 벡터의 필터링)

  • 장석우;김진욱;이근수;김계영
    • Journal of KIISE:Software and Applications
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    • v.31 no.11
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    • pp.1474-1482
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    • 2004
  • In this paper, we propose an approach for extracting and filtering block motion vectors using an adaptive weight function. We first extract motion vectors from a sequence of images by using size-varibale block matching and then process them by adaptive robust estimation to filter out outliers (motion vectors out of concern). The proposed adaptive robust estimation defines a continuous sigmoid weight function. It then adaptively tunes the sigmoid function to its hard-limit as the residual errors between the model and input data are decreased, so that we can effectively separate non-outliers (motion vectors of concern) from outliers with the finally tuned hard-limit of the weight function. The experimental results show that the suggested approach is very effective in filtering block motion vectors.

Development of Pareto strategy multi-objective function method for the optimum design of ship structures

  • Na, Seung-Soo;Karr, Dale G.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.6
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    • pp.602-614
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    • 2016
  • It is necessary to develop an efficient optimization technique to perform optimum designs which have given design spaces, discrete design values and several design goals. As optimization techniques, direct search method and stochastic search method are widely used in designing of ship structures. The merit of the direct search method is to search the optimum points rapidly by considering the search direction, step size and convergence limit. And the merit of the stochastic search method is to obtain the global optimum points well by spreading points randomly entire the design spaces. In this paper, Pareto Strategy (PS) multi-objective function method is developed by considering the search direction based on Pareto optimal points, the step size, the convergence limit and the random number generation. The success points between just before and current Pareto optimal points are considered. PS method can also apply to the single objective function problems, and can consider the discrete design variables such as plate thickness, longitudinal space, web height and web space. The optimum design results are compared with existing Random Search (RS) multi-objective function method and Evolutionary Strategy (ES) multi-objective function method by performing the optimum designs of double bottom structure and double hull tanker which have discrete design values. Its superiority and effectiveness are shown by comparing the optimum results with those of RS method and ES method.

Structure Reliability Analysis using 3rd Order Polynomials Approximation of a Limit State Equation (한계상태식의 3차 다항식 근사를 통한 구조물 신뢰도 평가)

  • Lee, Seung Gyu;Kim, Sung Chan;Kim, Tea Uk
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.3
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    • pp.183-189
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    • 2013
  • In this paper, uncertainties and failure criteria of structure are mathematically expressed by random variables and a limit state equation. A limit state equation is approximated by Fleishman's 3rd order polynomials and the theoretical moments of an approximated limit state equation are calculated. Fleishman introduced a 3rd order polynomial in terms of only standard normal distiribution random variables. But, in this paper, Fleishman's polynomial is extended to various random variables including beta, gamma, uniform distributions. Cumulants and a normalized limit state equation are used to calculate a theoretical moments of a limit state equation. A cumulative distribution function of a normalized limit state equation is approximated by a Pearson system.

Comparison of Reliability of PSSC Girder Bridge for Different Limit States (PSSC 거더 교량의 한계상태별 신뢰도 비교)

  • Hwang, Chul-Sung;Paik, In-Yeol
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.1
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    • pp.171-180
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    • 2007
  • Reliability analysis of prestressed steel and concrete(PSSC) girders is conducted for deflection, stress and moment strength limit state. PSSC girder has strong advantages in terms of construction cost and vertical clearance for the span length of over 40 meters. In this paper, example PSSC girders with different span lengths, section dimensions and design stress levels are designed and analyzed to calculate the midspan deflection, stress and the section moment strength. Deflection limit state, stress limit state and strength limit state functions are assumed and the reliability indexes are obtained by Monte-Carlo simulation and Rackwitz-Fiessler procedure. The results show that the reliability of PSSC girder for deflection limit state is appropriately higher than the stress limit state and the reliability for moment strength is significantly conservative.

CONDITIONAL CENTRAL LIMIT THEOREMS FOR A SEQUENCE OF CONDITIONAL INDEPENDENT RANDOM VARIABLES

  • Yuan, De-Mei;Wei, Li-Ran;Lei, Lan
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.1-15
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    • 2014
  • A conditional version of the classical central limit theorem is derived rigorously by using conditional characteristic functions, and a more general version of conditional central limit theorem for the case of conditionally independent but not necessarily conditionally identically distributed random variables is established. These are done anticipating that the field of conditional limit theory will prove to be of significant applicability.

Economic Selection of the Lower Limit and the Process Mean for a Continuous Production Process (연속생산공정에서 규격하한과 공정평균의 경제적 설정)

  • Hong, Sung-Hoon;Lim, Hoon
    • Journal of Korean Society for Quality Management
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    • v.23 no.3
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    • pp.20-32
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    • 1995
  • This paper is concerned with the economic selection of both the lower limit and the process mean for a continuous production process. Consider a production process where items are produced continuously. All of the items are subject to acceptance inspection. The items for which the measured values of the quality characteristic are larger than the lower limit are accepted, and those smaller than the lower limit are rejected and excluded from shipment. The process mean may be set higher to reduce the costs incurred by imperfect quality. Using a higher process mean, however, results in a higher production cost when production cost is an increasing function of the quality characteristic. Assuming that the quality characteristic is normally distributed with known variability, cost models are constructed which involve production cost, cost incurred by imperfect quality, rejection cost, and inspection cost. Methods of finding optimal values of the lower limit and the process mean are presented and numerical examples are given.

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Determination of the Forming Limit Strain of Sheet Metal Using Inverse Quartic Curve Fitting (역4차식 곡선근사에 의한 판재 성형한계변형률의 결정)

  • Lee, J.S.;Kim, J.D.;Kim, H.J.
    • Transactions of Materials Processing
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    • v.22 no.6
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    • pp.328-333
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    • 2013
  • The current study aims to determine the limit strains more accurately and reasonably when producing a forming limit curve (FLC) from experiments. The international standard ISO 12004-2 in its recent version (2008) states that the limit major strain should be determined by using the best-fit inverse second-order parabola through the experimental strain distribution. However, in cases where fracture does not occur at the center of the specimen, due to insufficient lubrication, the inverse parabola does not give a realistic fit because of its intrinsic symmetry in shape. In this study it is demonstrated that an inverse quartic function can give a much better fit than an inverse parabola in almost all FLC test samples showing asymmetric strain distributions. Using a quartic fit creates more reliable FLCs.

The Determination of Control Limit and Testing Interval in the On-Line Quality Control of Taguchi Method (Taguchi Method의 On-Line Quality control에 있어서 관리한계 및 검사간격 결정에 대한 연구)

  • Kim, Uk-Il;Gang, Chang-Uk
    • Journal of Korean Society for Quality Management
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    • v.20 no.2
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    • pp.11-20
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    • 1992
  • We discuss the feed back control of the on-line QC in the Taguchi method. Taguchi(1982) used the assumptions that the quality characteristics follow an uniform distribution and the Brownian motion to draw the loss function and proposed ${\Delta}/3$ or ${\Delta}$ for the initial control limit. Adams and Woodall(1989) also proposed a different procedure but using the same loss function. We propose, in this paper the new loss function under the assumption of mainly Brownian motion and compare the results with the results of the above.

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Prediction of Anisotropy and Formability of Lithium-ion Battery Pouch Sheet using Non-quadratic Yield Function (비이차 비등방 항복함수를 이용한 리튬-이온 배터리 파우치의 이방성 및 성형성 예측)

  • J. S. Kim;C. M. Moon;H.R. Lee;M. G. Lee
    • Transactions of Materials Processing
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    • v.32 no.3
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    • pp.136-144
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    • 2023
  • This study analyzed the mechanical behavior of lithium-ion battery pouch material and predicted its formability. A homogenization method was used to evaluate the physical properties of the pouch, and a new hardening model was developed. The yield function for the plastic model was optimized, and the anisotropic property was determined. Also, the forming limits were measured and predicted using the M-K forming limit diagram. Finally, a square cup drawing experiment confirmed the accuracy of the measured mechanical properties and the formability calculation.