• Title/Summary/Keyword: partition model

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ON THE PROBABILITY OF GENOTYPES IN POPULATION GENETICS

  • Choi, Won
    • Korean Journal of Mathematics
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    • v.28 no.1
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    • pp.1-7
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    • 2020
  • A partition X describes that there exists αi kinds of alleles occurring i loci for each i. All genes have multiple alleles, i.e., they exist in more than two allelic forms, although any one diploid organism can carry no more than two alleles. The number of possible genotypes in a multiple allel series depends on the number of alleles. We will deal with an n locus model in which mutation and gene conversion are taken into consideration. In this paper, we firstly find the probability pn(x) of genotype $$p_{n+1}(x)=p_n(x){\sum\limits_{k=1}^{r}}q_{kx}p_n(k)$$ with the rates of mutation and gene conversion. Also we find the probability of genotype without the rates of mutation and gene conversion and we apply this probability to two examples.

Conditional Skewness and Kurtosis in Natural Exponential Models

  • Hong, Chong-Sun;Lim, Han-Seung
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.887-894
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    • 1998
  • Let T=( $T_1$,…, $T_{k}$;k$\geq$2) be a minimal sufficient and complete statistic for a k-parameter exponential model. Consider a partition of T into ( $T_1$, $T_2$), where $T_1$=( $T_1$,…, $T_{r}$ and $T_2$=( $T_{r+1}$,…, $T_{k}$1$\leq$r$\leq$k-1/). This article represents a way to obtain higher moments such as skewness and kurtosis for the distribution T and the conditional distribution of $T_1$, given $T_2$= $t_2$. These results are illustrated by some examples.s.les.s.

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Numerical Simulation of Fluorescent Whitening Agents (DAS1) in Tokyo Bay (동경만 형광표백제 성분물질(DAS1)의 거동 특성 시뮬레이션)

  • Kim, Dong-Myung
    • Journal of Environmental Science International
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    • v.20 no.4
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    • pp.519-525
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    • 2011
  • A three-dimensional ecological model(EMT-3D) was applied to DAS1 in Tokyo Bay. The simulated results of DAS1 were in good agreement with the observed values. The result of sensitivity analysis showed that photolysis coefficient and extinction coefficient were important factor for dissolved DAS1, and photolysis coefficient, extinction and POC partition coefficient for PAHs in particulate organic matter. Mass balance of DAS1 in Tokyo Bay was calculated by using the simulated results of EMT-3D.

Plug Manufacturing of Leisure Boats through the NC Processing (NC가공을 통한 레저보트의 플러그 제작)

  • Park, Gen-Ong
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.4
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    • pp.606-612
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    • 2010
  • This study took advantage of NC processing technique in order to recreate design in development process of leisure boat based on the Korean boats and ships. CNC milling is an area which is concerned in automation process of boat production and needs sophisticated software, equipment and professionals to pilot it. The progress of manufacture begins when the surface model creation and simulation being done using CAD/CAM software. In this process, the needs such as 3D design, NC processing data, plug lamination and partition processing appear as detailed steps. The study completed these detailed steps and also the application example has been studied with presenting engineering potentialities.

Numerical Simulation of Ammonium Perfluorooctance (PFOA) in Gwangyang Bay (광양만 Ammonium Perfluorooctance (PFOA)의 거동 특성 시뮬레이션)

  • Kim, Dong-Myung
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.49 no.5
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    • pp.665-670
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    • 2016
  • A three-dimensional ecological model (EMT-3D) was used to simulate the behavior of PFOA in Gwangyang Bay, Korea. The results of sensitivity analysis showed that partition rate, adsorption rate, and settling rate were important factors in the variation in PFOA in particulate organic matter. Bioconcentration was the most significant factor for PFOA in phytoplankton, with the largest effect size. These parameters must therefore be carefully considered when modeling PFOA behavior. In simulations, 30% and 50% reductions in loads from land-based sources of PFOA resulted in concentrations of dissolved PFOA lower than 4 ng/L and 2 ng/L, respectively, in the central part of the bay.

A Liquid Theory. Nature of Liquid by Roulette Model (액체론. Roulette 모델로 설명되는 액체의 본질)

  • D. Chio;H. Park;M. Kim
    • Journal of the Korean Chemical Society
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    • v.22 no.1
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    • pp.1-6
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    • 1978
  • Feeling the potential field within a cell for various environments, every liquid molecule moves to minimize its potential energy. With this simple and fundamental concept, liquid molecules may be treated as a combination of three kinds of typical molecules characterized by Lennard-Jones and Devonshire's earlier work. We can get a partition function which has better functional from and less defects compared to the cell theory and the significant structure theory.

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Bayesian Multiple Comparisons for Normal Variances

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.29 no.2
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    • pp.155-168
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    • 2000
  • Regarding to multiple comparison problem (MCP) of k normal population variances, we suggest a Bayesian method for calculating posterior probabilities for various hypotheses of equality among population variances. This leads to a simple method for obtaining pairwise comparisons of variances in a statistical experiment with a partition on the parameter space induced by equality and inequality relationships among the variances. The method is derived from the fact that certain features of the hierarchical nonparametric family of Dirichlet process priors, in general, make it amenable to solving the MCP and estimating the posterior probabilities by means of posterior simulation, the Gibbs sampling. Two examples are illustrated for the method. For these examples, the method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison.

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Evaluation of Telomerase Inhibitors Using DE81 Filter Spotting Method from Natural Products

  • Lee, Sung-Jin;Woongchon Mar
    • Proceedings of the Korean Society of Applied Pharmacology
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    • 1998.11a
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    • pp.183-183
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    • 1998
  • Telomerase synthesizes telomeric DNA repeats onto chromosome ends de novo. Telomerase activation and telomere shortening in human somatic cells have been implicated in cell tumorigenesis and immortalization. In order to find the potential inhibitors against telomerase activitiy which can be used as potential anticancer agents, we screened about 100 kinds of natural products after partition into n-hexane, ethyl acetate and aqueous layers from methanol extracts. The inhibitory effects of these materials against telomerase enzyme activity were tested in 293T cell culture using telomeric repeat amplification protocol(TRAP). The incorporation of $\^$32/P-dGTP into amplified DNA was measured by adsorption to Whatman DE81 paper instead of using TRAP assay for screening the extracts of natural products. Strong effective compounds were not found in this study but DE81 filter spotting method may be a useful model for the screening. Some of the compounds which showed somewhat inhibitory effects had cytotoxic effects also.

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A Dynamically Reconfiguring Backpropagation Neural Network and Its Application to the Inverse Kinematic Solution of Robot Manipulators (동적 변화구조의 역전달 신경회로와 로보트의 역 기구학 해구현에의 응용)

  • 오세영;송재명
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.9
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    • pp.985-996
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    • 1990
  • An inverse kinematic solution of a robot manipulator using multilayer perceptrons is proposed. Neural networks allow the solution of some complex nonlinear equations such as the inverse kinematics of a robot manipulator without the need for its model. However, the back-propagation (BP) learning rule for multilayer perceptrons has the major limitation of being too slow in learning to be practical. In this paper, a new algorithm named Dynamically Reconfiguring BP is proposed to improve its learning speed. It uses a modified version of Kohonen's Self-Organizing Feature Map (SOFM) to partition the input space and for each input point, select a subset of the hidden processing elements or neurons. A subset of the original network results from these selected neuron which learns the desired mapping for this small input region. It is this selective property that accelerates convergence as well as enhances resolution. This network was used to learn the parity function and further, to solve the inverse kinematic problem of a robot manipulator. The results demonstrate faster learning than the BP network.

Nonlinear Dynamic Response Characteristics with Variations in the Lower Stories of Mixed Building Structures (복합구조물의 하부층수 변화에 따른 비선형 동적응답특성)

  • 강병두;전대한;김재웅
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.443-450
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    • 2001
  • The Mixed building structures can be divided into three partition, namely, upper wall, lower frame, and transfer system which link two partitions. The purpose of this study is to investigate the nonlinear response characteristics of structures, as the stories of lower frame of mixed building structures changes. The recorded earthquake ground motions of EI Centro 1940 NS is adopted, and the maximum ground accelerations are adjusted to 55ga1, 110ga1, 220ga1, 330ga1. The conclusions of this study are the following. 1) The responses of model that the story of lower frame is one were different from those of other models. 2) The process of ductility hinge occurrence of member was ends of coupling beam of upper wall and ends of beam of lower frame in 55ga1, bases of shear wall on pit floor in 110ga1, and bases of column of 1F in 220ga1.

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