• Title/Summary/Keyword: Standard $deviation(\sigma)$

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Estimation of Probability Distribution Functions for Water Temperature Data in Korean Coasts (한반도 연안 수온자료의 확률분포함수 추정)

  • Jeong, Shin Taek;Cho, Hongyeon;Ko, Dong Hui;Oh, Nam Sun;Son, Kyeong-Pyo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.1
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    • pp.11-19
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    • 2013
  • As the temperature data show a distribution pattern with a number of peaks, assumption of normal distribution will result in a serious bias in the analysis. In this study, the Gaussian Mixture Distribution (GMD), a type of bimodal distribution, is presumed as a frequency distribution for the water temperature, in order to estimate the optimal parameter and to carry out the relation analysis between the optimal parameter and the basic statistical information such as mean and variance on the data. By the way, an estimation formulae to compute the frequency distribution of the data is developed by computing the parameters of GMD (i.e. ${\alpha}_1$, ${\mu}_1$, ${\sigma}_1$, ${\alpha}_2$, ${\mu}_2$, ${\sigma}_2$) by means of the major characteristic values, such as mean, standard deviation and skewness of the data. The formulae shows an excellent coincidence with the result from the observation data, in the RMS limit accuracy of 5%.

A Study on the Process Capability Analysis of MIM Product (금속분말 사출성형 제품의 공정능력분석에 관한 연구)

  • Choi, Byung-Ky;Lee, Dong-Gil;Choi, Byung-Hui
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.1
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    • pp.57-64
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    • 2010
  • Metal Injection Molding (MIM) is attractive because it produces consistent, complex-geometry components for high-volume, high-strength, and high-performance applications. Also MIM using in optical communication field, display field, and semi-conductor field is a cost-effective alternative to metal machining or investment casting parts. It offers tremendous single-step parts consolidation potential and design flexibility. The objective of this paper is to study the suitability of design, flow analysis, debinding and sinterin processes, and capability analysis. The suitable injection conditions were 0.5~1.5 second filling time, 11.0~12.5 MPa injection pressure derived from flow analysis. The gravity of the product is measured after debinding an sintering. The maximum and minimum gravity levels are 7.5939 and 7.5097. the average and standard deviation are 7.5579 and 0.0122; when converted into density, the figure stands at 98.154%. According to an analysis of overall capacity, PPM total, which refers to defect per million opportunities(DPMO), stands at 166,066.3 Z.Bench-the sum of defect rates exceeding the actual lowest and highest limits-is 0.97, which translates into the good quality rate of around 88.4% and the sigma level of 2.47.

The Spray Behavior Analysis and Space Distribution of Mixture in Transient Jet Impinging on Piston Cavity (비정상 충돌 분류의 Cavity형상에 따른 공간 농도 분포 및 거동해석)

  • Lee, S.S.;Kim, K.M.;Kim, B.G.;Chang, S.S.;Ha, J.Y.
    • Journal of ILASS-Korea
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    • v.1 no.2
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    • pp.16-23
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    • 1996
  • In case of a high-speed D.I. diesel engine. the injected fuel spray is unavoidable that the impinging on the wall of piston cavity and in this case the geometry of piston cavity has a great influence on the atomization structure and air flow fields. In the field of combustion and in many other spray applications, there are clear evidence of correlation between spray structure and emission of pollutants. Ordinary, the combustion chamber of driving engine have unsteady turbulent flow be attendant on such as the change of temperature, velocity and pressure. So the analysis of spray behavior is difficult. In this study, a single spray was impinged on each cavity wall at indicated angle in a quiescent atmosphere at room temperature and pressure, as being the simplest case, and 3 types of piston cavity such as Dish, Toroidal and Re-entrant type was tested for analyzing the influence of cavity geometry. And hot wire probe was used for analyze non-steady flow characteristics of impinging spray, and to investigate the behavior of spray, the aspects of concentration c(t), standard deviation $\sigma(t)$ and variation factor (v.f.) was measured with the lapse of time.

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Validation of selection accuracy for the total number of piglets born in Landrace pigs using genomic selection

  • Oh, Jae-Don;Na, Chong-Sam;Park, Kyung-Do
    • Asian-Australasian Journal of Animal Sciences
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    • v.30 no.2
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    • pp.149-153
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    • 2017
  • Objective: This study was to determine the relationship between estimated breeding value and phenotype information after farrowing when juvenile selection was made in candidate pigs without phenotype information. Methods: After collecting phenotypic and genomic information for the total number of piglets born by Landrace pigs, selection accuracy between genomic breeding value estimates using genomic information and breeding value estimates of best linear unbiased prediction (BLUP) using conventional pedigree information were compared. Results: Genetic standard deviation (${\sigma}_a$) for the total number of piglets born was 0.91. Since the total number of piglets born for candidate pigs was unknown, the accuracy of the breeding value estimated from pedigree information was 0.080. When genomic information was used, the accuracy of the breeding value was 0.216. Assuming that the replacement rate of sows per year is 100% and generation interval is 1 year, genetic gain per year is 0.346 head when genomic information is used. It is 0.128 when BLUP is used. Conclusion: Genetic gain estimated from single step best linear unbiased prediction (ssBLUP) method is by 2.7 times higher than that the one estimated from BLUP method, i.e., 270% more improvement in efficiency.

Separation Purification Characteristics of Rinsing Solution in Semiconductor Process using High Performance Polymer Membranes( II ) (기능성 고분자막을 이용한 반도체 공정 세정액의 분리정제특성( II ))

  • Lee Jae-Dal;Hong Young-Ki;Ro Duck-Kil;Bae Kie-Seo
    • Textile Coloration and Finishing
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    • v.17 no.4 s.83
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    • pp.21-26
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    • 2005
  • A combination separation system is composed of three parts, simple microfiltration unit for the pretreatment of real waste IPA, pervaporation unit with plate and frame type module(the effective membrane area 9,040$cm^2$), and simple ultrafiltration unit as a refiner. Utrafiltration module with hollow fiber membrane(MWCO 10,000) used to purify waste aqueous IPA solution. In addition, the flux of $CMPA-K^+$ composite membrane for waste aqueous IPA solution was very steady-state with long experiment time(30 days). And the standard deviation($\sigma$) was 0.152 and then the coefficient of variation($CV\%$)was 10.82 The IPA concentration on the membrane performance using pervaporation module system could be increased from $89.85wt(\%)$ to more than $99.90wt\%$ in about 8hr at operation temperature of $70^{\circ}C$ using the pervaporation module system. Therefore, a combination separation process system of simple filtration and pervaporation was very effective for the purpose of the IPA purification and reuse front industrial electronic components cleaning process.

Experimental Study on Local Bed Scour Due to Bridge Pier (교각에 의한 하상세굴에 관한 실험적 연구)

  • Lee, Jong Kyu;Jeong, Dong Won;Lee, Chang Hae;Yook, Woon Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1349-1356
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    • 1994
  • The results of laboratory experiments on the clear-water scour of cohesionless bed sediment for three types of pier shape were presented. According to the experimental data, the local scouring around the pier was initiated at $V/V_c=0.4{\sim}0.5$ and $Fr_p{\fallingdotseq}0.2$, and the relative local scour depths linearly increased with respect to the velocity ratio and the pier Froude number. The relative scour depth had the linear relationship with ${\tau}_r$ for ${\tau}_r$ < $10^{-4}$, but it tends to become constant for ${\tau}_r$ > $10^{-4}$, irrespective of ${\tau}_r$. And also the relative scour depths showed the close relationship with both the geometric standard deviation and the pier shape.

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Elemental Analysis of Coal by Inductively Coupled Plasma Mass Spectrometry (誘導結合플라스마 質量分析法에 의한 石炭의 元素 分析)

  • 이용근;고인형;이동수
    • Journal of Korean Society for Atmospheric Environment
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    • v.8 no.3
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    • pp.155-161
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    • 1992
  • A simple, fast yet sensitive method is described for the determination of fifty elements in coal by inductively coupled plasma mass spectrometry. The method involves complete dissolution of coal with mixed acid $(HNO_3, HF, HClO_4)$ in hish pressure Teflon bomb and subsequent inductively coupled plasma mass spectrometric(ICP-MS) measurement. The accuracy of the method, being evaluated by the analysis of NIST SRMs (1632a, 1632b) is better than 20% RSD for most elements. The limits of detection defined by two times $\sigma$ (standard deviation of operational blank) are in order of sub-ppm to ppm, which are low enough to quantitate most elements. However, the determiantions for few elements such as V, As, Se are severely interfered by molecular ions such that their accurate determiantions are not possible. Analytical results for twentyon coals from eight countries including six ones world major coal producing, Korea, Japan, China, I.C.S., U.S.A., Canada, Australia, and South Africa are presented. While the results for major elements agree well with the existing ones, those for a few trace elements disagree considerably. The existing values are considerably higher. It is not possible to judge which are more accurate. However, the exisisting values are more likely to be errorous inasmuch as they are obtained without using high purity reagents and clean laboratory techniques.

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Study on uplift performance of stud connector in steel-concrete composite structures

  • Ju, Xiaochen;Zeng, Zhibin
    • Steel and Composite Structures
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    • v.18 no.5
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    • pp.1279-1290
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    • 2015
  • The main role of studs, which act as connectors of the steel-concrete composite structures, is to ensure that the steel and the concrete work together as a whole. The studs in steel-concrete composite structures bear the shearing force in the majority of cases, but in certain locations, such as the mid-span of a simply supported composite beam, the studs bear axial uplift force. The previous studies mainly focused on the shearing performance of the stud by some experimental and theoretical effort. However, rare studies involved the uplift performance of studs. In this paper, the single stud uplift test on 10 composite specimens was performed. Meanwhile, based on the test, numerical analysis was introduced to simulate the concrete damage process due to the stud uplifted from concrete. The static ultimate bearing capacity, under which the stud connector was pulled out from the damaged reinforced concrete, is much larger than the cyclic ultimate bearing capacity, under which the weld joint between stud and steel plate fractured. According to the fatigue test results of 7 specimens, the fatigue S-N curve of the construction detail after minus 2 times standard deviation is $logN=24.011-9.171\;log{\Delta}{\sigma}$, the fatigue strength corresponding to $2{\times}10^6$ cycles is 85.33 MPa.

A New Statistical Approach for the Estimation of Range and Degree of Fisheries Damages Caused by Public Undertaking (공공사업으로 인한 어업피해 범위와 피해정도 추정의 새로운 통계학적 접근)

  • 강용주;김기수;장창익;박청길;이종섭
    • The Journal of Fisheries Business Administration
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    • v.35 no.1
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    • pp.117-132
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    • 2004
  • This study attempts to suggest a new approach of the estimation of range and degree of fisheries damages caused by a large scale of reclamation undertaken in coastal area using the central limit theorem(CLT) in statistics. The key result of the study is the introduction of the new concept of critical variation of environmental factor($d_{c}$). The study defines $d_{c}$ as a standard deviation of the sample mean($\bar{X}$) of environmental factor(X), in other words, $\frac{\sigma}{ \sqrt{n}}$. The inner bound of $d_{c}$ could be the area of fisheries damages caused by public coastal undertaking. The study also defines the decreasing rate of fisheries production$\delta_{\varepsilon}$, in other words, degree of fisheries damages, as the rate of change in the distribution of sample mean(($\bar{X}$), caused by the continuous and constant variation of environmental factor. Therefore $\delta_{\varepsilon}$ can be easily calculated by the use of table of the standardized normal distribution.

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Enhancement of the Ultrasonic Image Using the Adaptive Window Log Filter for NDI of Aircraft Composite Materials (항공기 복합 재료의 비파괴 검사(NDI)를 위한 가변 창 필터를 이용한 초음파 영상 개선)

  • Hong, G.Y.;Hong, S.B.
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.11 no.2
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    • pp.33-42
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    • 2003
  • In this paper, we propose an enhancement of the ultrasonic image for non-destructive inspection of aircraft composite materials. The ultrasonic images are corrupted by a speckle noise which has the characteristic of granular pattern noise and is in all types of coherent imaging systems, the signal independent and multiplicative noise. In this paper, we derive a filter, called the AWLF(Adaptive Window Log Filter), from the nature of the speckle. The filter is made of the MEAN Filter in the edge region and Log Filter in the flat or noise region. To make a distinction between edge and flat region, we calculate the inclination around the local window instead of computing the local statistics of pixels such as local mean ${\bar{M}}$ and standard deviation ${\sigma}_s$. According to the obtained region, edge region is performed by the mean filter and flat region by the Log filter. Performance of the proposed filter is evaluated by the Enhanced Factor$(F_e)$ and the Speckle Index(SI).

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