• School Mathematics
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• v.13 no.2
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• pp.267-286
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• 2011

In this paper I investigated the historical developments of the algorithms for multiplication of natural numbers. Through this analysis I tried to describe more concretely what is to understand the common algorithm for multiplication of natural numbers. I found that decomposing dividends and divisors into small numbers and multiplying these numbers is the main strategy for carrying out multiplication of large numbers, and two decomposing and multiplying processes are very important in the algorithms for multiplication. Finally I proposed some implications based on these analysis.

• Transactions of the Korean Society of Mechanical Engineers
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• v.16 no.4
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• pp.765-774
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• 1992

The effect of the interactive flow on convective heat transfer from two vertical isothermal parallel plates have been studied numerically by the finite difference method. The Reynolds number, Grashof number, the relative length, L$_{2}$/L$_{1}$, and the dimensionless plate spacing, b/L$_{1}$ are varied as parameters. In case of outside mean Nusselt number, left outside mean Nusselt numbers show same values as L$_{2}$/L$_{1}$ and b/L$_{1}$ increase, but right outside mean Nusselt numbers decrease as L$_{2}$/L$_{1}$ increases. The inside mean Nusselt numbers are constant at narrow spacings and increase at wide spacings as Grashof numbers increase. The optimun plate spacing on left inside mean Nusselt numbers is b/L$_{1}$=0.4 at Re=100 and b/L$_{1}$=0.3 at Re=200. For the right inside mean Nusselt number, the optimum plate spacings move to the narrow spacing as Reynolds numbers increase and L$_{2}$/L$_{1}$ decrease.

• Journal for History of Mathematics
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• v.20 no.3
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• pp.1-16
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• 2007

In order to generalize theory of series in Iksan(翼算), we introduce a concept of double sequence of partial sums and elementary double sequence of partial sums, which play a dominant role in the study of double sequences of partial sums. We introduce a concept of finitely generated double sequence of partial sums and find a necessary and sufficient condition for those double sequences. Finally we prove a multiplication theorem for tetrahedral numbers and for 4 dimensional tetrahedral numbers.

• Water for future
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• v.25 no.4
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• pp.87-95
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• 1992

The validity of the estimate of runoff depth and peak runoff by the basin runoff curve numbers(CN-II for AMC-II condition and CN-III for AMC-III condition) obtained from hydrologic soil-cover complexs is investigated by making use of the observed curve numbers(median curve number and optimum curve number) computed from rainfall-runoff records. For gaged basins the median curve numbers are recommended for the estimation of runoff depth and peak runoff. For ungaged basins, found is that for the estimate of runoff depth CN-III is adequate and for the peak runoff CN-II is adequate. Also investigated is the variation of curve numbers during rainfall, which is turned out to improve the estimates of both depth and peak of runoff.

• Journal of KIISE:Software and Applications
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• v.27 no.7
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• pp.723-730
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• 2000

Fuzzy numbers represent fuzzy numeric values. However, it is difficult to clearly determine whether one fuzzy number is larger or smaller than other fuzzy numbers. Thus it is also difficult to determine the rank which a fuzzy number takes, or to select the k-th largest fuzzy number in a given set of fuzzy numbers. In this paper, we propose a fuzzy set based method to determine the rank of a fuzzy number and the k-th largest fuzzy number. The proposed method uses a given fuzzy greater-than relation which is defined on a set of fuzzy numbers. Our method describes the rank of a fuzzy number with a fuzzy set of ranks that the fuzzy number can take, and the k-th largest fuzzy number with a fuzzy set of fuzzy numbers which can be k-th ranked.

• Korean Journal of Microbiology
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• v.37 no.2
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• pp.124-129
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• 2001

For elucidating the effect of salinity to the effect of wastewater treatment, the heterotrophic bacterial numbers, total bacterial numbers, and the bacterial community structure by FISH method were analyzed. The total bacterial numbers were not significantly changed by the salinity. But the heterotrophic bacterial numbers and bacterial community structures were drastically changed by the increase of salinity. In case of 1% salinity, the heterotrophic bacterial numbers and structure were slightly changed comparing to those of contol. In case of 2% and higher salinities, the numbers of heterotrophic bacteria and the proportions of Eubacteria, Proteobacteria $\alpha$-group, $\rho$-group and Cytophaga-Flavobacterium groups were deceasing. By these results, the salinity stress to bacterial community in waste water treatment was unveiled, and for sustaining the waste water treatment system, the salinity should be lower than 1%.

• Korean Journal of Plant Resources
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• v.10 no.4
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• pp.292-299
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• 1997

The somatic chromosome numbers among the various taxonomic characters about 17 taxa in Korean Aster and its allied taxa were investigated to review accurate scientific name and taxonomic rank. The somatic chromosome numbers of the treated taxa were invariable in same taxa, but variable among different taxa. The treated taxa were divided into two types by basic chromosome numbers, one type was x=9, the other x=8 and x=9 type was subdivided by polyploidy. The somatic chromosome numbers of Aster altaicus var. uchiymae, A. hyatae, Kalimeris chejuensis were reported firstly in this study, and based upon somatic chromosome numbers and leaf morphology, the plants, idenified as Aster pinnatifidus in Korea was considered variant of Kalimeris incisa.

• Korean Journal of Microbiology
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• v.15 no.1
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• pp.20-30
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• 1977

Relationship of soil properties and seasonal variation on microbilogical population to-continuous culture and first-time culture of ginseng was investigated by bimonthly from May 1976 to January 1977. pH and P contents of 2 years continuous culture of soil were higher than other culture plot of soil, and contraty to the above, 2 years first-time culture of ginseng soil was conplot of soil, and contraty to the above, 2 years first-time culture of ginseng soil was contained more potassium contents than other culture plot of soil. In microbiological fluctuation with seasonr in various soil conditions, the population, trends of Fusarium spp., Erwiniaspp., and flourescent Psedudomonas spp. were increased in May and July in general, but decreased in the other month. It was observed that in all type of soil, Fusarium spp. was distributed in abundance in and on rihizosphere, and decreased the propagules numbers as soil depth increase. The numbers of Erwinia spp. and fluorescent Pseudo-monas spp. were distributed greater in numbers on the surface zone of soil depth decreasing the numbers along the soil layer increase, and also in 2years continuous culture of soil especially, a great numbers of Erwinia spp. and fluorescent Pseudomonas were evenly distributed in surface zone and rhizosphere. Ginseng disease with a high incidence of bacterial disease in continuous culture of 2 and 4 years was seemed to be associated with soil bacteria that was high in numbers of Erwinia spp. and fluorescent Pseudomonas spp. in May and July.

• The Journal of Pediatrics of Korean Medicine
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• v.14 no.2
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• pp.149-168
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• 2000

The Purpose of this study was to investigate the new effective oriential medicine tretments in pediatric disease and its clinical applicability The study was composed of 1245 new patients who had been treated at the all unit in the Dong-Seo oriential Medicine Hospitial for 1 year, from 1 April 1999 to 31 March 2000, and aged between 0 and 18 years. The chief complaint was mainly categorized by oral examination on patients and their care-givers. Result 1. The numbers of children who involved in this study is total 1245: Male children are 668 and female children are 577 children. The sex rate between male and female is 1.15 to 1. 2. Most of the above patients came to the hospital at first time from diseases such as musculoskelectal disease, weakness, asthma, cough, anorexia, common cold, rhiorrhea, sweating, dyspepsia, dematitis, night terror, obesity, stomach, short stature, Besides, they also came to the hospital at first time from various diseases such as epistasxis, pyrexia. Bell's palsy, nocturia, contipation, cerebral palsy, disorder, CVA. diarrhea. stress disease, Allergic disease, Tic disorder. Visual disorder, Kawasaki disease, Pierre Robin's syndrom, hematuria, edema and so on. 3. Looking at the frequent diseases, Respiratory dis. children including asthma, cough, rhiorrhea, sweating, common cold, pyrexia covers 36%, in 399 numbers. digestive dis. children including anorexia, dyspepsia, stomach, diarrhea, constipation, indigestion covers 19%, in 211 numbers. cadiovasculary disease children including arrthymia, terror in frequency, night crying, sediation, Tic disorder covers 8%, in 85 numbers. Hepatobiliary disease children including short stature, dizziness, visual difficulty, sprain, disorder of nail covers 21%, in 238 numbers. renal disease. children including nocturia, hematuria, hemation, disorder of hair, menorrhea, cerebral palsy, edema in 44 numbers. Fatigue children covers 13%. in 143 numbers. 4. In case of respatory disease children. total number is 399 children. dematitis children are 108 numbers and asthma children are 96 numbers. These show that children seem to the best have dematitis and asththma. The age from 0 to 6 is 290 numbers, covering 73 percentage. The others are covering 27 percentage. These data demonstrate that the age from 0 to 6 age could easily get these kinds - of diseases. The 29 percent of children had these kinds of diseases in spring. The 28 percent of children had these kinds of diseases in autumn. These show that children seem to frequently have these kinds of diseases in both spring and autumn season.(inter-season) 5. In case of digestive disease, anorexia covers 39%, in 83 numbers, dyspepsia covers 28%, in 59 numbers, anorexia and dyspepsia were the lagest group in digestive disease and the age from 0 to 6 covers 59%, in 125 numbers and the other age covers 39%. According to these data, infant seems to be vulnerable to these kinds of diseases. The 24 percent of children had these kinds of diseases in spring and summer. The 33 percent of children had these kinds of diseases in winter, which means that children mostly had winter. but decreased significant in autumn. 6. In case of cadiovasculary diseases, it can be divided into two categories: night covers 73% and nervous characteristics covers 27%. The age from 0 to 6 occupies 75%, and the other age occupies 25%. These data also show that infants can easily infected with these kinds of diseases. Analyzing by the season, summer could be the most frequent season that children have these kinds of diseases. but decreased in autumn. 7. In case of hepatobiliary children, sprains covers 166 numbers, fatigue covers 32 numbers, epistasxia covers 24 members, the reasion which sprain occupyied most of % were sprain covered ages. The age from 0 to 14 covers 59% and from 15 to 18 covers 41%. In the conclusion the adolescent seems to be vulnerable to sprains. In spring 29%, insummer 31%, in autumn 23%, and in winter 28% of children got these kinds of diseases, which show that children seems to have this kinds of disease in summer season. and decreased in autumn. 8. In case of renal disease. nocturia and hematuria covers 52%(occupied overhalf). The age from 0 to 6 covers 52%(occupied overhalf). Analyzing by season, in spring increased in summer(59%), decreased in autumn(45%) Conclusion 1. The chief complant in pediatric diseases that needed an oriental medical tretment was mainly the disease that tends to take iong time and the weakness. and appeared frequency in respiratory disease : 2. The oriential medical tretment was still preferred as a way to improve the weakness by patients, rather than a way to overcome their disease. In paticular, the study shows that the oriental medical tretment should be emphasized in terms of preventing the disease 3, The new disease, which were developed with the change of human life and envir oment(just like seual disorder, short stature, obesity, dynamic disorder, examinee disease), should be in vestigated as a new field of oriental medical tretment.

• School Mathematics
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• v.8 no.1
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• pp.1-25
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• 2006

To be good at numeration is an important matter in learning mathematics. Unlike the 6-th curriculum, integers are introduced in middle school curriculum for the first time in the 7-th curriculum. Therefore, to help the students team integers systematically and thoroughly, it is necessary that we allow more space for process of introduction, process of operations and practice of operations in the 7-th curriculum text book than that of 6-th curriculum text book. As specific and systemic visualized teaching of operation is especially important in building the concept of operation, by using visualized teaching methods, students can understand the process of operation more fully and systematically. Moreover, students become proficient in operation of positive number and negative numbers by expending this learning process of operations to the operations used absolute value. In 7-th grade mathematics, the expression of positive numbers and negative numbers visually are useful for understanding of operations for numbers. But it is not easy to do so. In this paper we use arrows(directed segments) to express positive numbers and negative numbers visually and apply them to perform the operations for numbers. Using arrows, we can extend the method used in elementary school mathematics to the methods for operations of positive numbers and negative number in 7-th grade mathematics. By experiments, we can know that such processes of introduction for operations are effective and this way helps teachers teach and students learn.