• Title/Summary/Keyword: Basket numbers

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A CLASSIFICATION OF LINKS OF THE FLAT PLUMBING BASKET NUMBERS 4 OR LESS

  • Kim, Dongseok
    • Korean Journal of Mathematics
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    • v.22 no.2
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    • pp.253-264
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    • 2014
  • Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. In present article, we study links of the flat plumbing basket numbers 4 or less using a special presentation of the flat plumbing basket surfaces. We find a complete classification theorem of links of the flat plumbing basket numbers 4 or less.

THE BASKET NUMBERS OF KNOTS

  • Bang, Je-Jun;Do, Jun-Ho;Kim, Dongseok;Kim, Tae-Hyung;Park, Se-Han
    • Korean Journal of Mathematics
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    • v.23 no.1
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    • pp.115-128
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    • 2015
  • Plumbing surfaces of links were introduced to study the geometry of the complement of the links. A basket surface is one of these plumbing surfaces and it can be presented by two sequential presentations, the first sequence is the flat plumbing basket code found by Furihata, Hirasawa and Kobayashi and the second sequence presents the number of the full twists for each of annuli. The minimum number of plumbings to obtain a basket surface of a knot is defined to be the basket number of the given knot. In present article, we first find a classification theorem about the basket number of knots. We use these sequential presentations and the classification theorem to find the basket number of all prime knots whose crossing number is 7 or less except two knots $7_1$ and $7_5$.

Effect of Market Basket Size on the Accuracy of Association Rule Measures (장바구니 크기가 연관규칙 척도의 정확성에 미치는 영향)

  • Kim, Nam-Gyu
    • Asia pacific journal of information systems
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    • v.18 no.2
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    • pp.95-114
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    • 2008
  • Recent interests in data mining result from the expansion of the amount of business data and the growing business needs for extracting valuable knowledge from the data and then utilizing it for decision making process. In particular, recent advances in association rule mining techniques enable us to acquire knowledge concerning sales patterns among individual items from the voluminous transactional data. Certainly, one of the major purposes of association rule mining is to utilize acquired knowledge in providing marketing strategies such as cross-selling, sales promotion, and shelf-space allocation. In spite of the potential applicability of association rule mining, unfortunately, it is not often the case that the marketing mix acquired from data mining leads to the realized profit. The main difficulty of mining-based profit realization can be found in the fact that tremendous numbers of patterns are discovered by the association rule mining. Due to the many patterns, data mining experts should perform additional mining of the results of initial mining in order to extract only actionable and profitable knowledge, which exhausts much time and costs. In the literature, a number of interestingness measures have been devised for estimating discovered patterns. Most of the measures can be directly calculated from what is known as a contingency table, which summarizes the sales frequencies of exclusive items or itemsets. A contingency table can provide brief insights into the relationship between two or more itemsets of concern. However, it is important to note that some useful information concerning sales transactions may be lost when a contingency table is constructed. For instance, information regarding the size of each market basket(i.e., the number of items in each transaction) cannot be described in a contingency table. It is natural that a larger basket has a tendency to consist of more sales patterns. Therefore, if two itemsets are sold together in a very large basket, it can be expected that the basket contains two or more patterns and that the two itemsets belong to mutually different patterns. Therefore, we should classify frequent itemset into two categories, inter-pattern co-occurrence and intra-pattern co-occurrence, and investigate the effect of the market basket size on the two categories. This notion implies that any interestingness measures for association rules should consider not only the total frequency of target itemsets but also the size of each basket. There have been many attempts on analyzing various interestingness measures in the literature. Most of them have conducted qualitative comparison among various measures. The studies proposed desirable properties of interestingness measures and then surveyed how many properties are obeyed by each measure. However, relatively few attentions have been made on evaluating how well the patterns discovered by each measure are regarded to be valuable in the real world. In this paper, attempts are made to propose two notions regarding association rule measures. First, a quantitative criterion for estimating accuracy of association rule measures is presented. According to this criterion, a measure can be considered to be accurate if it assigns high scores to meaningful patterns that actually exist and low scores to arbitrary patterns that co-occur by coincidence. Next, complementary measures are presented to improve the accuracy of traditional association rule measures. By adopting the factor of market basket size, the devised measures attempt to discriminate the co-occurrence of itemsets in a small basket from another co-occurrence in a large basket. Intensive computer simulations under various workloads were performed in order to analyze the accuracy of various interestingness measures including traditional measures and the proposed measures.

Microwave Drying of Food Waste (음식물 쓰레기의 마이크로파 건조)

  • 김덕찬;현준호;변자진;이동원;문경환
    • Journal of environmental and Sanitary engineering
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    • v.13 no.3
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    • pp.133-140
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    • 1998
  • The food wastes from a refectory and an eating house were heated in domestic microwave oven(700W) equipped with a fan and the drying rates and destruction of microorganisms were investigated. The drying rate was decreased with the size of food waste and the food wastes in polypropylene basket were dried faster than that on glass dish. The rate was increased with lower initial moisture content. Death rate of microorganisms was also decreased with the size of food waste. Ninety eight percent of reduction in viable cell numbers for the 400g of food waste could be achieved in 240sec of microwave irradiation. The growth of microorganisms in food wastes after microwave irradiated was observed at $32^{\circ}C$ and 95% relative humidity after 7days and the cell numbers in microwave irradiated food wastes were found to be 1/2 ~ 1/20 of the numbers in untreated wastes in accordance with the mass and the length of exposed time to microwave. To minimize the moisture and microorganisms in food wastes, the use of microwave oven are recommended.

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Utilizing the Effect of Market Basket Size for Improving the Practicality of Association Rule Measures (연관규칙 흥미성 척도의 실용성 향상을 위한 장바구니 크기 효과 반영 방안)

  • Kim, Won-Seo;Jeong, Seung-Ryul;Kim, Nam-Gyu
    • The KIPS Transactions:PartD
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    • v.17D no.1
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    • pp.1-8
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    • 2010
  • Association rule mining techniques enable us to acquire knowledge concerning sales patterns among individual items from voluminous transactional data. Certainly, one of the major purposes of association rule mining is utilizing the acquired knowledge to provide marketing strategies such as catalogue design, cross-selling and shop allocation. However, this requires too much time and high cost to only extract the actionable and profitable knowledge from tremendous numbers of discovered patterns. In currently available literature, a number of interest measures have been devised to accelerate and systematize the process of pattern evaluation. Unfortunately, most of such measures, including support and confidence, are prone to yielding impractical results because they are calculated only from the sales frequencies of items. For instance, traditional measures cannot differentiate between the purchases in a small basket and those in a large shopping cart. Therefore, some adjustment should be made to the size of market baskets because there is a strong possibility that mutually irrelevant items could appear together in a large shopping cart. Contrary to the previous approaches, we attempted to consider market basket's size in calculating interest measures. Because the devised measure assigns different weights to individual purchases according to their basket sizes, we expect that the measure can minimize distortion of results caused by accidental patterns. Additionally, we performed intensive computer simulations under various environments, and we performed real case analyses to analyze the correctness and consistency of the devised measure.

A Study on Diversification of the Elderly Living Cost Estimate (노인가계 생계비 산정의 다양화를 위한 연구-반물량방식과 통계분석방식을 중심으로-)

  • Lee, Sun-Hyung;Kim, Keun-Hong
    • 한국노년학
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    • v.27 no.2
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    • pp.473-486
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    • 2007
  • This study focused on the diversification of the elderly living cost estimate through statistical analysis method and Engel method(market basket method). The results of this study were as follows. First of all, due to Engel method, it has shown that the minimum living cost of aged couples was 566,478won on average of 2006, single aged men 306,210 won and single aged women 260,276 won. Secondly, according to the first way of statistical analysis, the minimum living cost of elderly couples was 860,043won, the standard was 1,018,669won and abundant 1,287,555won. The second way of that, the minimum(of elderly couples) was 694.916won, the standard 1,037,779won and abundant 1,556,551won. Those numbers included imputed rent. These results were changed to that the minimum is 435,416won, the standard 548,250won and the abundant 699,844won when imputed rent were excluded Moreover, it was also represented that the minimum of Engel method was between that of quasi-relative standard line and that of not imputed rent. Lastly, in the deprivation indicators method studied by Korea Institute for Health and Social Affair, it was concerned that an underestimation of elderly deprivation might have been got if some inappropriate data include. Given this study, it could not be judged that various estimating ways had been tried were consistency, but market-basket method was keenly needed. Market-basket method is being an absolute estimating way including only elderly data. Therefore, what is asking for first is - because other analysis can be limited by absolute estimating ways, particularly market-basket method - to be required systemic and all-arounded elderly living cost with more various ways.

NATURAL CONVECTION HEAT TRANSFER CHARACTERISTICS IN A CANISTER WITH HORIZONTAL INSTALLATION OF DUAL PURPOSE CASK FOR SPENT NUCLEAR FUEL

  • Lee, Dong-Gyu;Park, Jea-Ho;Lee, Yong-Hoon;Baeg, Chang-Yeal;Kim, Hyung-Jin
    • Nuclear Engineering and Technology
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    • v.45 no.7
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    • pp.969-978
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    • 2013
  • A full-sized model for the horizontally oriented metal cask containing 21 spent fuel assemblies has been considered to evaluate the internal natural convection behavior within a dry shield canister (DSC) filled with helium as a working fluid. A variety of two-dimensional CFD numerical investigations using a turbulent model have been performed to evaluate the heat transfer characteristics and the velocity distribution of natural convection inside the canister. The present numerical solutions for a range of Rayleigh number values ($3{\times}10^6{\sim}3{\times}10^7$) and a working fluid of air are further validated by comparing with the experimental data from previous work, and they agreed well with the experimental results. The predicted temperature field has indicated that the peak temperature is located in the second basket from the top along the vertical center line by effects of the natural convection. As the Rayleigh number increases, the convective heat transfer is dominant and the heat transfer due to the local circulation becomes stronger. The heat transfer characteristics show that the Nusselt numbers corresponding to $1.5{\times}10^6$ < Ra < $1.0{\times}10^7$ are proportional to 0.5 power of the Rayleigh number, while the Nusselt numbers for $1.0{\times}10^7$ < Ra < $8.0{\times}10^7$ are proportional to 0.27 power of the Rayleigh number. These results agreed well with the trends of the experimental data for Ra > $1.0{\times}10^7$.

Development and Application of the Visual Test Instrument for Spent CANDU Fuel Bundle Serial Number Identification (CANDU형 사용후 핵연료 다발 일련번호 확인을 위한 육안검사 장치 개발 및 적용)

  • Na, Won-Woo;Lee, Young-Gil;Yoon, Wan-Ki;Kwack, Eun-Ho;Park, Seung-Sik
    • Journal of the Korean Society for Nondestructive Testing
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    • v.19 no.2
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    • pp.93-99
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    • 1999
  • SCAI(spent CANDU fuel bundle serial number identifier) was developed to read serial numbers of spent fuel bundles in the spent fuel storage. For the purpose of effectively identifying the serial number of fuel bundle. SCAI was composed of underwater camera & light part. guiding & supporting part and control & monitor part. So it is easy to assemble and disassemble, and operate. It was tested to read serial numbers of spent fuel bundles loaded in basket during the recent spent fuel transfer campaign at Wolsong Unit 1. And it was also applied to read serial numbers of spent fuel bundles discharging from the initial core at Wolsong Unit 3 by slight change of camera and light. Inspectors could easily operate SCAI after several practices in the storage pond, which was a user friendly. And SCAI provided clear and immediate picture for identification of serial numbers of spent fuel bundles. It was interally evaluated that SCAI greatly contributed to cut inspection efforts for national and international safeguards at Wolsong power plant.

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