• 제목/요약/키워드: length distribution

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Note on Stochastic Orders through Length Biased Distributions

  • Choi, Jeen-Kap;Lee, Jin-Woo
    • Journal of the Korean Data and Information Science Society
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    • 제10권1호
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    • pp.243-250
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    • 1999
  • We consider $Y=X{\lambda}Z,\;{\lambda}>0$, where X and Z are independent random variables, and Y is the length biased distribution or the equilibrium distribution of X. The purpose of this paper is to consider the distribution of X or Y when the distribution of Z is given and the distribution of Z when the distribution of X or Y is given, In particular, we obtain that the necessary and sufficient conditions for X to be $X^{2}({\upsilon})\;is\;Z{\sim}X^{2}(2)\;and\;for\;Z\;to\;be\;X^{2}(1)\;is\;X{\sim}IG({\mu},\;{\mu}^{2}/{\lambda})$, where $IG({\mu},\;{\mu}^{2}/{\lambda})$ is two-parameter inverse Gaussian distribution. Also we show that X is smaller than Y in the reverse Laplace transform ratio order if and only if $X_{e}$ is smaller than $Y_{e}$ in the Laplace transform ratio order. Finally, we can get the results that if X is smaller than Y in the Laplace transform ratio order, then $Y_{L}$ is smaller than $X_{L}$ in the Laplace transform order, and that if X is smaller than Y in the reverse Laplace transform ratio order, then $_{\mu}X_{L}$ is smaller than $_{\nu}Y_{L}$ in the Laplace transform order.

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변이체벼 배유 전분분자의 포도당 사슬길이 분포와 쌀빵 가공성간의 상관관계 (Glucose Chain Length Distribution of Starches from Endosperm Mutant Rices and Its Relationship with Adaptability in Rice Bread Processing)

  • 강미영;한지연
    • 한국식품과학회지
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    • 제33권1호
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    • pp.50-54
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    • 2001
  • 8품종 변이체 쌀 전분의 청가에 의한 아밀로오스 함량의 차이는 남풍벼>화청벼>분질미>남풍 CB243>화청 du-1>남풍 EM90>화청찰벼>shr.의 순이었다. 아밀로펙틴의 미세구조는 효소처리에 의해서 debranching시킨 전분의 glucose chain length분포 비교에 의해서 수행되었고, 품종별로 미세구조상에 차이가 있었다. 아밀로오스 함량이 낮을수록 씹힘성이 좋은 쌀빵의 제조가 가능하였으며, 아밀로펙틴 분획에 짧은 쇄장을 많이 함유하는 품종일수록 질감 및 기호도가 높은 쌀빵의 제조가 가능하였다.

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Effects of Stressed and Unstressed Reinforcements on Prestressed Concrete Members with Unbonded Tendons

  • Moon, Jeong-Ho;Shin, Kyung-Jae;Lim, Jae-Hyung;Lee, Sun-Hwa
    • KCI Concrete Journal
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    • 제12권1호
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    • pp.131-138
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    • 2000
  • The research purpose of this paper is to investigate the influential Parameters on the unbonded tendon stress. The parameters were the reinforcing ratio, the prestressing ratio, and the loading type. To this end. first, the influence of parameters were examined with twenty eight test results obtained from references. Then, an experimental study was carried out with nine specimens. Test variables were the reinforcing ratio and the prestressing ratio. Specimens were divided equally into three groups and each group had a different level of the reinforcing ratio. Each specimen within a group has a different level of the prestressing ratio. The investigation with previous and current tests revealed the followings; (1) the length of crack distribution zone does not have a close relation with the length of plastic hinge. (2) the prestressing ratio does not affect both the length of crack distribution and the length of plastic hinge, (3) the tendon stress variation is in reverse relation with the ratios of mild steels and tendons, (4) the loading type nay not affect significantly the length of crack distribution zone, (5) AASHTO LRFD Code equation and Moon/Lim's design equation predicted the test results well with some safety margins.

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Influence of changing various parameters in miniscrew-assisted rapid palatal expansion: A three-dimensional finite element analysis

  • Yoon, Soungjun;Lee, Dong-Yul;Jung, Seok-Ki
    • 대한치과교정학회지
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    • 제49권3호
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    • pp.150-160
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    • 2019
  • Objective: This study aimed to analyze the effect of changing various parameters of the bone-borne rapid palatal expander (RPE) using the finite element method (FEM). Methods: In eight experimental groups, we investigated the effect of the number, position, and length of miniscrews; positional changes of the expander; and changes in the hook length on maxillary expansion. In finite element analysis, we compared the magnitude and distribution of stress, and the displacement changes following expansion of the bone-borne RPE. Results: When we compared the number and position of miniscrews, placing miniscrews in the anterior and posterior sides was advantageous for maxillary expansion in terms of stress distribution and displacement changes. Miniscrew length did not significantly affect stress distribution and displacement changes. Furthermore, anteroposterior displacement of the expander did not significantly affect transverse maxillary expansion but had various effects on vertical changes of the maxilla. The maxilla rotated clockwise when the miniscrews were placed in the anterior region. The hook length of the expander did not show consistent results in terms of changes in stress distribution and magnitude or in displacement changes. Conclusions: The findings of this study suggest that changes in the location and length of the miniscrews and displacement of the bone-borne RPE could affect the pattern of the maxillary expansion, depending on the combination of these factors.

최소자승법을 이용한 원판형 절리의 직경분포와 체적빈도 추정에 관한 연구 (A Study on the Estimation of Diameter Distribution and Volumetric Frequency of Joint Discs Using the Least Square Method)

  • 송재준
    • 터널과지하공간
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    • 제15권2호
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    • pp.137-144
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    • 2005
  • 이 연구에서는 최소자승법을 이용하여 절리의 직경분포를 추정하는 방법을 개발하였다. 이전에 Song and Lee가 제안한 방법에서는 현장에서 조사한 양끝내포선(contained trace) 분포로부터 무한 조사창에서 정의되는 절리선(joint trace) 길이 분포를 먼저 구하고 이 후에 직경분포를 구하게 된다. 그러나 새로 제안한 방법을 사용하면 중간 추정과정없이 현장에서 얻은 양끝내포선 분포로부터 바로 절리의 직경분포를 구할 수 있다. 이전의 방법과 비교할 때 새로 제안된 방법은 표본의 크기가 작을 때 조금 더 높은 추정정밀도를 보이며, 직경분포를 추정하는 과정에서 절리의 기하학적 파라미터의 하나인 체적빈도(volumetric frequency)도 제공한다. 새로운 추정법의 검증을 위해 Monte Carlo 시뮬레이션을 적용하였다.

복수휴가형 이산시간 GI/G/1 대기체계에 대한 수정부가변수법 (On the Modified Supplementary Variable Technique for a Discrete-Time GI/G/1 Queue with Multiple Vacations)

  • 이두호
    • 대한산업공학회지
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    • 제42권5호
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    • pp.304-313
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    • 2016
  • This work suggests a new analysis approach for a discrete-time GI/G/1 queue with multiple vacations. The method used is called a modified supplementary variable technique and our result is an exact transform-free expression for the steady state queue length distribution. Utilizing this result, we propose a simple two-moment approximation for the queue length distribution. From this, approximations for the mean queue length and the probabilities of the number of customers in the system are also obtained. To evaluate the approximations, we conduct numerical experiments which show that our approximations are remarkably simple yet provide fairly good performance, especially for a Bernoulli arrival process.

월유출량에 대한 Run-Length의 해석 (Analysis of Surplus and Dficit-using Runs for Monthly Streamflow)

  • 강관원;안경수;김양수
    • 물과 미래
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    • 제18권4호
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    • pp.317-325
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    • 1985
  • 본 연구에서는 낙동강, 한강 및 금강의 중요관측지점의 월평균 유출량을 분석에 사용하였으며, 먼저 일정유량(Truncation level) 별로 Run-length와 Run-sum에 대한 2-변수 Gamma 분포 및 대수정규분포의 적합성 여부를 검토하였던 바 Gamma 모델이 적합한 것으로 판명된 자료와 실측치와 비교하였다. 그리고 Run-length 및 Run-sum에 대한 일정유량별로 평균치의 변화에 대한 성질을 구명하였다.

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박테리아에 의한 클로깅 현상에 따른 임계 상태 균열 암반의 유체투과율 감소에 관한 전산 연구

  • 한충용;강주명;최종근
    • 한국지하수토양환경학회:학술대회논문집
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    • 한국지하수토양환경학회 2001년도 총회 및 춘계학술발표회
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    • pp.73-76
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    • 2001
  • We have simulated the effect of fracture characteristics on reduction of effective permeability of the fractured rocks due to in-situ bacteria growth. A nutrient is injected continuously for growth of in-situ bacteria. We used a power law for fracture length distribution and a fBm for fracture aperture spatial distribution. The results show that in-situ bacteria growth reduces the Permeability hyperbolically, but the porosity of backbone fracture does not change significantly. It shows that reduction of the permeability proceeds at faster speed for smaller value of length exponent(a) and for larger value of Hurst exponent(H). The fracture length distribution has stronger effect on speed of reduction than the aperture spatial distribution. The time needed to reduce permeability is inversely proportional to the hydraulic gradient.

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지팡이의 높이가 체중 지지분포에 미치는 영향 (Influence of Cane Length on the Weight Distribution)

  • 옥준영;김진우;한우석;한재덕;안덕현
    • 한국전문물리치료학회지
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    • 제7권1호
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    • pp.91-100
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    • 2000
  • This study investigates the influence of cane length on the weight distribution of the elderly in a standing position. Thirty participants were evaluated using two different cane lengths based on measurements of distal wrist crease to ground (WC cane), and distance of greater trochanter to ground (GT cane). A limloader was used to determine the weight distribution on the subject. It was found that 6.5% of body weight was supported on a GT cane and 7.7% of body weight supported on a WC cane in a standing position. Results suggests that more weight is distributed on a WC cane than a GT cane in the elderly.

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임플란트 매식조건에 따른 상, 하악골의 응력분포 양상에 대한 3차원 유한요소분석 연구 (EFFECTS OF BONE ENGAGEMENT TYPE&IMPLANT LENGTH ON STRESS DISTRIBUTION: A THREE DIMENSIONAL FINITE ELEMENT ANALYSIS)

  • 최정화;서기열;최주호;한중석
    • 대한치과보철학회지
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    • 제37권5호
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    • pp.687-697
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    • 1999
  • A finite element analysis has been utilized to analyze stress and strain fields and design a new configuration in orthopedics and implant dentistry. Load transfer and stress analysis at implant bone interface are important factors from treatment planning to long term success. Bone configuration and quality are different according te anatomy of expecting implantation site. The purpose of this study was to compare the stress distribution in maxilla and mandible accord-ing to implant length and bone engagement types. A three dimensional axi-symmetric implant model(Nobel Biocare, Gothenburg, Sweden) with surrounding cortical and cancellous bone were designed to analyze the effects of bone engagement and implant length on stress distribution. ANSYS 5.5 finite element program was utilized as an interpreting toot. Three cases of unicortical anchorage model with 7, 10, 13 mm length and four cases of bicortical anchorage model with 5, 7, 10 and 13 mm length were compared both maxillary and mandibular single implant situation. Within the limits of study, following conclusions were drawn. 1. There is a difference in stress distribution according to cortical and cancellous bone thickness and shape. 2. Maximum stress was shown at the top of cortical bone area regardless of bone engagement types. 3. Bicortical engagement showed less stress accumulation when compared to unicortical case overall. 4. Longer the implant future length, less the stress on cortical bone area, however there is no difference in mandibular bicortical engagement case.

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