• Title/Summary/Keyword: Sample Size

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Effects of Latin hypercube sampling on surrogate modeling and optimization

  • Afzal, Arshad;Kim, Kwang-Yong;Seo, Jae-won
    • International Journal of Fluid Machinery and Systems
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    • v.10 no.3
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    • pp.240-253
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    • 2017
  • Latin hypercube sampling is widely used design-of-experiment technique to select design points for simulation which are then used to construct a surrogate model. The exploration/exploitation properties of surrogate models depend on the size and distribution of design points in the chosen design space. The present study aimed at evaluating the performance characteristics of various surrogate models depending on the Latin hypercube sampling (LHS) procedure (sample size and spatial distribution) for a diverse set of optimization problems. The analysis was carried out for two types of problems: (1) thermal-fluid design problems (optimizations of convergent-divergent micromixer coupled with pulsatile flow and boot-shaped ribs), and (2) analytical test functions (six-hump camel back, Branin-Hoo, Hartman 3, and Hartman 6 functions). The three surrogate models, namely, response surface approximation, Kriging, and radial basis neural networks were tested. The important findings are illustrated using Box-plots. The surrogate models were analyzed in terms of global exploration (accuracy over the domain space) and local exploitation (ease of finding the global optimum point). Radial basis neural networks showed the best overall performance in global exploration characteristics as well as tendency to find the approximate optimal solution for the majority of tested problems. To build a surrogate model, it is recommended to use an initial sample size equal to 15 times the number of design variables. The study will provide useful guidelines on the effect of initial sample size and distribution on surrogate construction and subsequent optimization using LHS sampling plan.

The Demersal Fishes of Asan Bay -I. Optimal Sample Size- (아산만 저어류 I. 적정 채집 방법)

  • LEE Tae-Won
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.24 no.4
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    • pp.248-254
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    • 1991
  • The demersal fishes of Asan Bay were collected by an otter trawl in August 1990 to determine optimum sample size for the analysis of community structure. A total of 17 species comprising 957 individuals and 21,840 grams in biomass was collected. Predominant species were Cynoglossus joyneri, Thrissa koreana, Hexagrammos otakii and Johnius belengerii. Coefficients of variation for fish numbers in ten replicate tows ranged from 2.2 to $385.1\%$ for four abundant species and from 52.2 to $162.0\%$ when all species were considered. The cumulative number of species increased rapidly until 4 hauls, and less than 1 species per haul in average was added thereafter. The cumulative diversity index reached nearly an asymptote value when three of samples were combined. Variance in the number of individuals diminished as the sample size increased. The ratio of variance to mean numbers (dispersion index) was not significantly different from the unity when first 4-haul samples were combined. Four of 20-minute trawl haul are proposed to be a proper sampling size for the unbiased estimation of abundance in the study area.

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The relationship between precursor concentration and antibacterial activity of biosynthesized Ag nanoparticles

  • Balaz, Matej;Balazova, Ludmila;Kovacova, Maria;Daneu, Nina;Salayova, Aneta;Bedlovicova, Zdenka;Tkacikova, Ludmila
    • Advances in nano research
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    • v.7 no.2
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    • pp.125-134
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    • 2019
  • The Origanum vulgare L.-mediated synthesis of Ag nanoparticles was successfully realized within the present study. Various concentrations of the $AgNO_3$ used as a silver precursor (1, 2.5, 5, 10 and 100 mM) were used. Very rapid formation of Ag nanoparticles was observed, as only minutes were necessary for the completion of the reaction. With the increasing concentration, red shift of the surface plasmon resonance peak was observed in the Vis spectra. According to photon cross-correlation spectroscopy results, the finest grain size distribution was obtained for the 2.5 mM sample. The transmission electron microscopy analysis of this sample has shown bimodal size distribution with larger crystallites with 100 nm size and smaller around 10 nm. The antibacterial activity was also the best for this sample so the positive correlation between good grain size distribution and antibacterial activity was found. The in-depth discussion of antibacterial activity with related works from the materials science point of view is provided, namely emphasizing the role of effective nanoparticles distribution within the plant extract or matrix. The antibacterial activity seems to be governed by both content of Ag nanoparticles and their effective distribution. This work contributes to still expanding environmentally acceptable field of green synthesis of silver nanoparticles.

Partial Substitution of Copper with Nickel for the Superconducting Bismuth Compound and Its Effect on the Physical and Electrical Properties

  • Kareem Ali Jasim;Riyam Abd Al-Zahra Fadil;Kassim Mahdi Wadi;Auday Hattem Shaban
    • Korean Journal of Materials Research
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    • v.33 no.9
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    • pp.360-366
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    • 2023
  • This study focuses on how the partial substitution of copper by nickel nanoparticles affects the electrical and structural properties of the Bi2Ba2Ca2Cu2.9Ni0.1O10+δ, Bi2Ba2Ca2Cu2.8Ni0.2O10+δ and Bi2Ba2Ca2Cu2.6Ni0.4O10+δ compounds. Approximate values of crystallization size and crystallization percentage for the three compounds were calculated using the Scherer, modified Scherer, and Williamson-Hall methods. A great similarity was observed in the crystal size values from the Scherer method, 243.442 nm, and the Williamson-Hall method, 243.794 nm for the second sample. At the same time this sample exhibited the highest crystal size value for the three methods. In the examination of electrical properties, the sample with 0.1 partial substitution, Bi2Ba2Ca2Cu2.9Ni0.1O10+δ was determined to be the best with a critical temperature of 100 K and an energy gap of 6.57639 × 10-21 MeV. Using the SEM technique to analyze the structural morphology of the three phases, it was discovered that the size of the granular forms exceeds 25 nm. It was determined that the samples' shapes alter when nickel concentration rises. The patterns that reveal the distribution of the crystal structure also exhibit clear homogeneity.

A Study on Size Standardization of Saengbwal Hanbok (생활 한복의 치수규격 표준화에 관한 연구)

  • Nam, Yun-Ja;Lee, Hyung-Suk;Lee, Jeong-Yim
    • Fashion & Textile Research Journal
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    • v.3 no.2
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    • pp.140-147
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    • 2001
  • The purpose of this study is to suggest the standard size system of Saenghwal Hanbok for design development and popularization. As a sample, 20's and 40's female data among the 1997's National Somatometry Survey data were used because two groups have different somatic characteristics and design tastes with each other. The results are as follows; From t-test of 35 somatometric items in 20's and 40's female data, we knew that the differentiated size system proper to each age is needed. We also knew that the 38 Saenghwal Hanbok brands don't have consistent size system from investigation of size list and size application. From consideration on the number of size for production and coverage rate, we suggested regression formula by bust circumference and stature, and suggested advanced standard size system which are proper to each 20' and 40' female group.

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Intra- and Inter-Variation of Protein Content in Soybean Cultivar Seonnogkong (선녹콩 개체간 및 개체내 단백질 함량 변이)

  • Im, Moo-Hyeog;Choung, Myoung-Gun
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.53 no.spc
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    • pp.78-83
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    • 2008
  • Soybean [Glycine max (L.)] is a major source of protein for human and animal feed. Inter- and intra-genotype variation of soybean protein has been investigated by soybean researchers. However, limited sample amount of soybean single seed there is no report that investigated intra-plant variation of soybean protein within soybean plant. Recently a non-destructive NIR (near-infrared reflectance) spectroscopy using single seed grain to analyze seed protein was developed. The objectives of this study were to understand variation of seed protein content within plant and to determine the amount of minimum sample size which can represent protein content for a soybean plant. Frequency distribution of protein content within plant showed normal distribution. There was an intra-cultivar variation for protein content in soybean cultivar Seonnogkong. Difference of protein content among single plants of Seonnokong was recognized at 5% level. Seeds in lower position on plant stem tended to accumulate more protein than in higher position. There was significant difference for protein content between sample size 5 seeds and sample size of more than 5 seeds (10, 20, 30, 40, and 50 seeds) at a soybean plant with 57 seeds however no difference was recognized among sample size (5, 10, 20, and 30 seeds) at a soybean plant with 33 seeds. Around 20% seeds of soybean from single plant needed to determine the protein content to represent protein content of single soybean plant. This study is the first one to report evidence of intra-plant variation for proteincontent which detected by non-destructive NIR spectroscopy using single seed grain in soybean.

A Study on Variable Step Size LMS Algorithm using estimated correlation (추정상관값을 이용한 가변 스텝사이즈 LMS 알고리듬에 관한 연구)

  • 권순용;오신범;이채욱
    • Proceedings of the IEEK Conference
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    • 2000.11d
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    • pp.115-118
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    • 2000
  • We present a new variable step size LMS algorithm using the correlation between reference input and error signal of adaptive filter. The proposed algorithm updates each weight of filter by different step size at same sample time. We applied this algorithm to adaptive multip]e-notch filter. Simulation results are presented to compare the performance of the proposed algorithm with the usual LMS algorithm and another variable step algorithm.

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A STUDY ON ESTIMATING TOOTH SIZE WITH REGRESSION CONSTANTS (회귀항수에 의한 치아크기의 추정에 관한 연구)

  • Nahm, Dong-Seok
    • The korean journal of orthodontics
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    • v.11 no.1
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    • pp.31-34
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    • 1981
  • A study of a sample of 81 Korean adolescents was taken to determine the degree of correlation between mandibular anterior teeth size and the size of the canines and premolars. The correlation between the total mesiodistal width of the mandibular permanent incisors and that of maxillary or mandibular canine and first and second premolars was found to be 0.53 and 0.58, respectively. Further , regression constants were determined in an attempt to estimate the buccal segments from the mandibular incisors.

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Species Diversity of a Stratified Hornbeam Community in Kwangneung Forest (광릉산림에 있어서 서나무군집의 층에 따른 종다양성에 관한 연구)

  • 이광석;장남기
    • Asian Journal of Turfgrass Science
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    • v.9 no.2
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    • pp.131-136
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    • 1995
  • The herb, shrub, understory and canopy strata, which arbitrarily delineated by size classes, were sampled separately. The former one were sampled by the pin-point quadrat method. And remaining three by size quadrats, diversity (H= =$\Sigma$ Pi log Pi) of of each stratum was estimated for each set of census data. Species diversity within a stratum was independent of sample plot size above a minimum cumulative area. Diversity based on plotless and plot samples could he determined by the same equation, and by pooling the data needed to estimate diversity of each stratum.

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A study on analysis of particle size distribution

  • Min, Shin-Hong
    • Archives of Pharmacal Research
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    • v.3 no.2
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    • pp.65-74
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    • 1980
  • Analysis of particle size distribution of a sample of fine aluminum hydroxide powder was carried out by four different methods, i. e., conductivity, air permeability, gas-adsorption and sedimentation. Each method was reproducible. The results obtained by Coulter counter and sedimentation balance were similar, and the data obtained by Lea and Nurse permeameter and Stroehlein areameter were also similar. But the results differ considerabley between the former and the latter. The advantages and disavantages of each method were discussed briefly and a means of comparing the results with those obtianed by surface area measurements was shown.

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