• Title/Summary/Keyword: L-함수

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Calculation of Intensity Factors Using Weight Function Theory for a Transversely Isotropic Piezoelectric Material (횡등방성 압전재료에서의 가중함수이론을 이용한 확대계수 계산)

  • Son, In-Ho;An, Deuk-Man
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.2
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    • pp.149-156
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    • 2012
  • In fracture mechanics, the weight function can be used for calculating stress intensity factors. In this paper, a two-dimensional electroelastic analysis is performed on a transversely isotropic piezoelectric material with an open crack. A plane strain formulation of the piezoelectric problem is solved within the Leknitskii formalism. Weight function theory is extended to piezoelectric materials. The stress intensity factors and electric displacement intensity factor are calculated by the weight function theory.

Geographical Impact on the Annual Maximum Rainfall in Korean Peninsula and Determination of the Optimal Probability Density Function (우리나라 연최대강우량의 지형학적 특성 및 이에 근거한 최적확률밀도함수의 산정)

  • Nam, Yoon Su;Kim, Dongkyun
    • Journal of Wetlands Research
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    • v.17 no.3
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    • pp.251-263
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    • 2015
  • This study suggested a novel approach of estimating the optimal probability density function (OPDF) of the annual maximum rainfall time series (AMRT) combining the L-moment ratio diagram and the geographical information system. This study also reported several interesting geographical characteristics of the AMRT in Korea. To achieve this purpose, this study determined the OPDF of the AMRT with the duration of 1-, 3-, 6-, 12-, and 24-hours using the method of L-moment ratio diagram for each of the 67 rain gages in Korea. Then, a map with the Thiessen polygons of the 67 rain gages colored differently according the different type of the OPDF, was produced to analyze the spatial trend of the OPDF. In addition, this study produced the color maps which show the fitness of a given probability density function to represent the AMRT. The study found that (1) both L-skewness and L-kurtosis of the AMRT have clear geographical trends, which means that the extreme rainfall events are highly influenced by geography; (2) the impact of the altitude on these two rainfall statistics is greater for the mountaneous region than for the non-mountaneous region. In the mountaneous region, the areas with higher altitude are more likely to experience the less-frequent and strong rainfall events than the areas with lower altitude; (3) The most representative OPDFs of Korea except for the Southern edge are Generalized Extreme Value distribution and the Generalized Logistic distribution. The AMRT of southern edge of Korea was best represented by the Generalized Pareto distribution.

Nuclear LS-Energy Matrix Elements with the Harmonic Oscillator Shell Model Wave Functions for the Configurations ($I_1$$I_{1+1}$$I_1$$I_{1+1}$) and Sum Rules (조화 단진동자 파동함수를 쓴 원자핵의 LS에너지 행열요소 합법칙)

  • Chung-hum Kim;Soon-Kwon Nam
    • Nuclear Engineering and Technology
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    • v.14 no.1
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    • pp.22-40
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    • 1982
  • The nuclear LS-energy matrix elements have been calculated with the harmonic oscillator shell model wave functions for the configurations ( $l_{i}$ $l_{i+1}$$l_{i}$ $l_{i+1}$) where 1$_1$= $l_{s}$ , $l_2$=lp, $l_3$=ld, 2s, $l_4$=1f, 2p, $l_{5}$ =1g, 2d, 3s. The resulting matrix elements are expressed in terms of both Talmi integrals $I_1$ and Slater integrals $F^{k}$ . In addition to this various sum rules are derived and applied to check the results of the calculations.ons.

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A Study on the Functional Relationship between Biomass Concentration and Fermentation Characteristics in the Culture of High density Cell (고농도 균체 배양에 의한 알콜 발효에서의 균체농도와 발효특성치 사이의 함수관계 규명 -균체농도와 비성장속도, 균체 수율, 알콜 생산성 사이의 함수관계-)

  • 배천순;김범준
    • KSBB Journal
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    • v.7 no.4
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    • pp.247-251
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    • 1992
  • The effect of biomass concentration of Saccharomyces cerevisiae ATCC 24858 on specific growth rates, biomass yields, ethanol yields and productivity in the batch fermentation of rotary shaker was investigated. The specific growth rate decreased according to the increase in the biomass density and finally became zero at a biomass concentration, 55g/L. The ethanol yield $Y_{p/s}$ represented a constant value, 0.43, regardless of the change of biomass concentrations. However, the biomass yield $Y_{x/s}$ showed a trend to diminish in values with augmentation of biomass density and ultimately to reach zero at 55g/L of biomass concentration. The ethanol productivity increased linearly with biomass concentration so that, in case of initial sugar concentration, 170g/L, the productivity for 55g/L of biomass density rose up to 30g/L$\cdot$hr for all the batch fermentations. And also the ethanol concentration inhibiting completely the growth was verified 95g/L by applying experimental data to Luong's equation.

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Ultra-High Frequency Characteristics of Double-Wall Carbon Nanotube Resonator with Different Length (서로 다른 길이를 갖는 이중벽 탄소 나노튜브 공진기의 초고주파 주파수 특성)

  • Kim, Jin-Tae;Lee, Jun-Ha;Lee, Kang-Ho;Choi, Jong-Ho
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.12
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    • pp.175-180
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    • 2010
  • In this paper, we have investigated ultrahigh frequency nano-mechanical resonators, made of DWCNTs with various wall lengths, via classical molecular dynamics simulations. We have aimed our analysis on the frequency variations of these resonators with the DWCNT wall lengths. The results show that the variations can be well fitted by either the Pearson VII function when the resonant frequency of normalized by its maximum frequency is plotted as a function of the inner/outer wall length ratio L5/L10 for different values of the outer wall length L10, and the Gauss distribution function when the resonant frequency of normalized by its maximum frequency is plotted as a function of the outer/inner wall length ratio for different values of the inner wall length.

Weighted L1-Norm Support Vector Machine for the Classification of Highly Imbalanced Data (불균형 자료의 분류분석을 위한 가중 L1-norm SVM)

  • Kim, Eunkyung;Jhun, Myoungshic;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.28 no.1
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    • pp.9-21
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    • 2015
  • The support vector machine has been successfully applied to various classification areas due to its flexibility and a high level of classification accuracy. However, when analyzing imbalanced data with uneven class sizes, the classification accuracy of SVM may drop significantly in predicting minority class because the SVM classifiers are undesirably biased toward the majority class. The weighted $L_2$-norm SVM was developed for the analysis of imbalanced data; however, it cannot identify irrelevant input variables due to the characteristics of the ridge penalty. Therefore, we propose the weighted $L_1$-norm SVM, which uses lasso penalty to select important input variables and weights to differentiate the misclassification of data points between classes. We demonstrate the satisfactory performance of the proposed method through simulation studies and a real data analysis.

Detection of a Bias Level in Prediction Errors due to Input Acceleration (입력 가속에서 비롯된 예측오차 바이어스 레벨의 검출)

  • Shin, Hae-Gon;Hong, Sun-Mog
    • Journal of Sensor Science and Technology
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    • v.2 no.1
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    • pp.57-64
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    • 1993
  • In this paper the normalized innovations squared of a Kalman filter is used to detect a bias level in prediction errors due to target accelerations. The probability density function of the normalized innovation squared is obtained for a steady state Kalman filter, and it is used to calculate the detection probability of the bias level. A typical example is given to compute the detection probability and to plot the maneuver detector operating characteristic curves.

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Evaluation of Parameter Characteristics of the Storage Function Model Using the Kinematic Wave Model (운동파모형을 이용한 저류함수법 매개변수의 특성 평가)

  • Choi, Jong-Nam;Ahn, Won-Shik;Kim, Hung-Soo;Park, Min-Kyu
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.4
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    • pp.95-104
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    • 2010
  • The storage function model is one of the most commonly used models for flood forecasting and warning system in Korea. This paper studies the physical significance of the storage function model by comparing it with kinematic wave model. The results showed universal applicability of the storage function model to Korean basins. Through a comparison of the basic equations for the models, the storage function model parameters, K, P and $T_l$, are shown to be related with the kinematic wave model parameters, k and p. The analysis showed that P and p are identical and K and $T_l$ can be related to k, basin area, and coefficients of Hack's law. To apply the storage function model throughout the southern part of Korean peninsular, regional parameter relationships for K and $T_l$ were developed for watershed area using data from 17 watersheds and 101 flood events. These relationships combine the kinematic wave parameters with topographic information using Hack's Law.

L-system Tree with Particle Attributes (파티클 속성을 사용한 L-시스템 트리)

  • Jou, Wou-Seok;Park, Hyun-Min;Bahng, Soon-Jung
    • The KIPS Transactions:PartA
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    • v.9A no.4
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    • pp.589-594
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    • 2002
  • In computer graphics, L-system is primarily used for the production of such natural shapes as flowers, trees, and grass. It is possible by iteratively applying the theory of multiple-reduction-copy-machine to an arbitrary initial shape. The purpose of this paper is to modify the shape of ordinary L-system trees so that more realistic trees can be generated. Instead of applying simple iterative function system of the L-system, we regard each branch of the trees as a living thing, and endow them with corresponding attributes. Such branch attributes as lifetime, growth speed, shape variation, attraction by environment are known to belong to the attributes of the particle system. We presented modeling methods as hypotheses for each of the attributes based on parameters, iud shown the resulting diverse tree shapes.

Predicting Unsaturated Soil Water Content Using CIELAB Color System-based Soil Color (CIELAB 색 표시계 기반 토색을 활용한 불포화토 함수비 예측 연구)

  • Baek, Sung-Ha;Park, Ka-Hyun;Jeon, Jun-Seo;Kwak, Tae-Young
    • Journal of the Korean Geotechnical Society
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    • v.39 no.2
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    • pp.31-42
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    • 2023
  • A study was conducted to use soil color obtained from digital im ages as an indicator of soil water content. Digital images of Jumoonjin standard sand with five different water contents were captured under nine different lighting conditions. Through digital image processing, the soil color of the sample was obtained based on the CIELAB color system, and the effect of lighting conditions and water content on the soil color was analyzed. The results indicated that L* showed a high correlation with illuminance, whereas a* and b* showed a high correlation with color temperature. As the water content increased, L*, which represents the brightness of the soil color, decreased, and a* and b* increased. Therefore, the soil color changed from green and blue to red and yellow. Based on the regression analysis results of lighting conditions, water content, and soil color, a water content predicting method based on the soil color of silica-based sand photographed under irregular light conditions was proposed. The proposed method can predict the water content with a m axim um error of 0.29%.