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Hong Gil Ju(洪吉周)'s Algebra (홍길주(洪吉周)의 대수학(代數學))

  • Hong, Sung-Sa;Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.21 no.4
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    • pp.1-10
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    • 2008
  • In this paper, we investigate the part dealing with algebra in Hong Gil Ju's GiHaSinSul to analyze his algebraic structure. The book consists of three parts. In the first part SangChuEokSan, he just renames Die jie hu zheng(疊借互徵) in Shu li jing yun to SangChuEokSan and adds a few examples. In the second part GaeBangMongGu, he obtains the following identities: $$n^2=n(n-1)+n=2S_{n-1}^1+S_n^0;\;n^3=n(n-1)(n+1)+n=6S_{n-1}^2+S_n^0$$; $$n^4=(n-1)n^2(n+1)+n(n-1)+n=12T_{n-1}^2+2S_{n-1}^1+S_n^0$$; $$n^5=2\sum_{k=1}^{n-1}5S_k^1(1+S_k^1)+S_n^0$$ where $S_n^0=n,\;S_n^{m+1}={\sum}_{k=1}^nS_k^m,\;T_n^1={\sum}_{k=1}^nk^2,\;and\;T_n^2={\sum}_{k=1}^nT_k^1$, and then applies these identities to find the nth roots $(2{\leq}n{\leq}5)$. Finally in JabSwoeSuCho, he introduces the quotient ring Z/(9) of the ring Z of integers to solve a system of congruence equations and also establishes a geometric procedure to obtain golden sections from a given one.

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Effects of Illite Supplementation on the Meat Quality of Finishing Pigs (황토성분(Illite) 첨가 급여가 비육돈의 육질에 미치는 영향)

  • 김천제;이의수;송민석;조진국
    • Food Science of Animal Resources
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    • v.20 no.2
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    • pp.152-158
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    • 2000
  • This study was conducted to investigate the influence of feeding illite(yellow soil component) on meat quality of pork. 40 pigs were fed with commercial formulated feed (control group) and 1% illite added feed(treatment group). Pigs grown up to 100~110kg of weight were slaughtered in commercial abattoir. After chilling for 24hours, samples were collected from M. longissimus dorsi muscle, and stored at $4\pm$$1^{\circ}C$ for analyses. The physico-chemical properties was determined during storage days as follows. Ultimate pH was not significantly different between control and treatment(pH 5.58 and 5.60, respectively). Water-holding capacity measured using filter paper press method of the treatment group was slightly higher than that of the control group. Cooking loss of treatment group were significantly lower than that of the control group at 1 and 7 days(p〈0.05). Shear force between control and treatment group was not different. L*- and a*-value were not significantly different between the two groups(p〉0.05), but b*-value of treatment group was lower than that of the control group(p〈0.05). The drip loss of all samples was increased with storage days, and that of the treatment group was significantly lower than that of the control at 1 and 3 day storage. Meat color measured using NPPC pork quality standards was not significantly different between the two groups(p〉0.05), but marbling content of the treatment group was significantly higher than that of the control group(p〈0.05). Sensory characteristics of, flavor taste and tenderness did not show significant differences(p〉0.05), but juiciness of the treatment group showed higher value than that of the control group(p〈0.05)

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Development of Biotope Evaluation Indexes for Improving Bird Diversity (조류 다양성 확보를 위한 비오톱 평가지표개발)

  • Chae, Jin-Hwak;Koo, Tae-Hoe
    • Journal of Environmental Policy
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    • v.4 no.1
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    • pp.113-127
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    • 2005
  • This study was aimed at developing an application method of biotope evaluation indexes to secure bird diversity on urban biotope that has high intensity of land use. The main purpose of the study was to plan the effective restoration method of sound urban biotope from the ecological aspects after evaluating the relationship between the biotope evaluation indexes. The biotope area, number of insect species, distance from adjacent road, biotope area index were surveyed on each designated site in order to analyze the evaluation indexes that influenced bird diversity in urban biotope. The analysis of the relationship between biotope evaluation. indexes showed the following results number of bird species and number of insect species > number of bird species and biotope area index > number of insect species and biotope area index, that is, the number of insect species and biotope area index had a specific effect on the bird diversity. The equation derived from the above result is 'number of bird species = 6.124 $\times$ biotope area index + 0.095 $\times$ number. of insect species - 1.197' ($R^2=0.716$, F=27.743, P<0.001). Therefore, even a small area can be helpful for promoting bird diversity in the urban area if the biotope area index and diversity of vertical landscape for insects are maintained.

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Implications and numerical application of the asymptotical shock wave model (점진적 충격파모형의 함축적 의미와 검산)

  • Cho, Seong-Kil
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.11 no.4
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    • pp.51-62
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    • 2012
  • According to the Lighthill and Whitham's shock wave model, a shock wave exists even in a homogeneous speed condition. They referred this wave as unobservable- analogous to a radio wave that cannot be seen. Recent research has attempted to identify how such a counterintuitive conclusion results from the Lighthill and Whitham's shock wave model, and derive a new asymptotical shock wave model. The asymptotical model showed that the shock wave in a homogenous speed traffic stream is identical to the ambient vehicle speed. Thus, no radio wave-like shock wave exists. However, performance tests of the asymptotical model using numerical values have not yet been performed. We investigated the new asymptotical model by examining the implications of the new model, and tested it using numerical values based on a test scenario. Our investigation showed that the only difference between both models is in the third term of the equations, and that this difference has a crucial role in the model output. Incorporation of model parameter${\alpha}$ is another distinctive feature of the asymptotical model. This parameter makes the asymptotical model more flexible. In addition, due to various choices of ${\alpha}$ values, model calibration to accommodate various traffic flow situations is achievable. In Lighthill and Whitham's model, this is not possible. Our numerical test results showed that the new model yields significantly different outputs: the predicted shock wave speeds of the asymptotical model tend to lean toward the downstream direction in most cases compared to the shock wave speeds of Lighthill and Whitham's model for the same test environment. Statistical tests of significance also indicate that the outputs of the new model are significantly different than the corresponding outputs of Lighthill and Whitham's model.

Critical Review on Discourses of Learning in Global Education Agendas (글로벌 교육의제에 반영된 학습 담론에 대한 비판적 고찰 : 교육의제에'학습'은 어디에 있는가?)

  • Kim, Jin-Hee;Cho, Won-Gyeum
    • Korean Journal of Comparative Education
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    • v.27 no.3
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    • pp.101-127
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    • 2017
  • The purpose of this study is to analyze how the debates on learning and learning outcomes in global education agendas have changed and to understand the discourses and issues about learning under the agendas, and finally based on the understanding, to know what is the implication we should take in international education development cooperation in Korea. To do this, this study critically analyzed 1) what is the main features and directions, and 2) the method and limitation in handling learning concept on three major global education forums which are Jomtien global education forum in 1990, Dakar in 2000, and Incheon in 2015. Major finding shows that there are little learning concept discussed in Jomtien and Dakar forums and in SDGs education agenda, learning is vaguely defined and discussed and there are problems of too much focus on learning outcomes itself and absence of study on proper assessment system. Major lessons and implications for international education development cooperation could be stated that postcolonial perspectives and learner centered approaches is required in developing countries's education ecology. And continuous support for sustainable development for learners' capacity should be underlined. We needs to focus on developing software not hardware from the first of educational ODA. Finally, it is needed to embed within pedagogical approaches.

A Study on the Migration of the Berbers in France and their Current Status (프랑스 내 '베르베르인'의 이민 과정과 그 위상에 관한 연구)

  • Lim, Gi-Dae
    • Cross-Cultural Studies
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    • v.42
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    • pp.131-163
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    • 2016
  • The issue of migrants has always been a social problem in France. Particularly, migration issues from the Maghreb region to multicultural France are recognized as topics of confrontation and conflict. One of the many reasons would be that the Maghreb migrant issue is interpreted with a hostile or conflicting 'Arab-Islam' meaning in the West. Therefore, the naming of natives from this region as 'Arab-Maghrebis' has become a common phenomenon. However, deeper understanding of the Maghreb region will explain that such naming could produce a number of problems. This is because the native Maghrebis, not only in the Maghreb region but also in France, are Berbers. Among the various Berbers, the Kabyles are in many ways different from the Arabs in their language, culture, and way of thinking. Apart from the difference in their lifestyle, there is a deep anti-Arab sentiment within them that represents their resistance against the hundreds-of-years Arab domination. This feature has also been used as France's tool of colonial division policy during the colonization period. The purpose of this study is to discuss the settlement process of the Kabyles in France by paying attention to their features. The Kabyles were the first to migrate to France among the natives of the Maghreb region. This study focuses on the process of their migration and search for identity, as well as how they continued to form community and the Berber's cultural movement. Through these series of processes, it is possible to point out the fictitious claim in France and in Korea that Maghrebis are Arab-Muslims. Lastly, the current use of Berber language in France and Algeria is not a coincidental phenomenon, rather it has a connection with the prolonged cultural movement and the settlement process of the migrants in France.

Effects of KMS on the DNCB induced animal Model of Atopic Dermartitis (가미미후등식장탕이 DNCB 유도 아토피 피부염 동물모델에 미치는 효과)

  • Song, Dea-Uk;Min, Ga-Yul;Hong, SooYeon;Lim, Seo-Eun;Huh, Jung;Sohn, Youngjoo;Jung, Hyuk-Sang
    • The Journal of Korean Medicine
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    • v.40 no.1
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    • pp.63-77
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    • 2019
  • Objectives: The purpose of this study is to examine the effect of water and fermentation extracts of KMS (Kami-Mihudeongsikjang-tang) on AD (atopic dermatitis). Additionally, by applying the fermentation extracts of KMS at the first sensitization and latency period, I investgated whether it could prevent AD. Methods: In this study, to test the effect and preventive efficacy of KMSs on AD. DNCB-induced BALB/c mice of AD model was used. Through histological observation, epidermis and dermis thickness, the infiltration of eoshiphils and mast cells in epidermis and dermis were examined. We measured the serum level of IgE and IL-6, TNF-alpha, and the expressions of $NF-{\kappa}B$ and MAPK protein. In order to examine the effect of KMSs on keratinocyte, HaCaT cells were treated TNF-alpha and IFN-gamma to induce an inflammatory response. The KMSs were applied at various concentration in the experimental group. We investigated TARC expression. Results: The treatment groups were reduced epidermis and dermis thickness, inhibited the infiltration of eosinophils and mast cells, reduced the serum level of IL-6. Moreover, sfKMS group reduced serum level of TNF-alpha, inhibited the protein expressions of $NF-{\kappa}B$ and the phosphoryllation of ERK, JNK and p38. Especially sfKMS-pre group were reduced the serum level of IgE, show significant inhibition on the protein expression of $NF-{\kappa}B$ and the phosphoryllation of ERK, JNK and p38. In the experiment on HaCaT cells, sfKMS group were reduced expression of TARC. Conclusions: These result suggest that wKMS and sfKMS was effective in the treament on AD, and sfKMS would prevent AD.

A Study on Teaching the Method of Lagrange Multipliers in the Era of Digital Transformation (라그랑주 승수법의 교수·학습에 대한 소고: 라그랑주 승수법을 활용한 주성분 분석 사례)

  • Lee, Sang-Gu;Nam, Yun;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.65-84
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    • 2023
  • The method of Lagrange multipliers, one of the most fundamental algorithms for solving equality constrained optimization problems, has been widely used in basic mathematics for artificial intelligence (AI), linear algebra, optimization theory, and control theory. This method is an important tool that connects calculus and linear algebra. It is actively used in artificial intelligence algorithms including principal component analysis (PCA). Therefore, it is desired that instructors motivate students who first encounter this method in college calculus. In this paper, we provide an integrated perspective for instructors to teach the method of Lagrange multipliers effectively. First, we provide visualization materials and Python-based code, helping to understand the principle of this method. Second, we give a full explanation on the relation between Lagrange multiplier and eigenvalues of a matrix. Third, we give the proof of the first-order optimality condition, which is a fundamental of the method of Lagrange multipliers, and briefly introduce the generalized version of it in optimization. Finally, we give an example of PCA analysis on a real data. These materials can be utilized in class for teaching of the method of Lagrange multipliers.

The effects of proliferation and differentiation on adipocyte 3T3-L1 by prescriptions and herbs of Taeyang-In and Taeum-In (태양인(太陽人), 태음인(太陰人)의 처방(處方)과 약재(藥材)가 지방세포(脂肪細胞)(3T3-L1)의 증식(增殖)·분화억제(分化抑制)에 미치는 영향(影響))

  • Kim, Su-beom;Kho, Byung-hee;Song, Il-byung
    • Journal of Sasang Constitutional Medicine
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    • v.10 no.2
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    • pp.533-564
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    • 1998
  • In order to know the effect of proliferation and differentiation on edipocyte 3T3-L1 by prescriptions and herbs, Taeyangin(太陽人)'s Okapijangcheok-tang(五加皮壯脊湯) Mihudeungsikjangtang Acanthopanacis Cortex(五加皮) Phragmitis Rhizoma(蘆根) and Taeumin(太陰人)'s Taeumjowi-tang(太陰調胃湯) Cheongsimyonja-tang(淸心蓮子湯) Cheongpaesagan-tang(淸肺瀉肝湯) Galkeunbupyong-tang(葛根浮萍湯) Coicis Semen(薏苡仁) Rhei Undulati Rhizoma(大黃) Mori Cortex(桑白皮) Ulmi Cortex(楡根白皮) Holotrichia Vermiculus Kalopanaxii Cortex(海桐皮) Ephedrae Herba(麻黃) Imperatae Rhizoma(白茅根), were used and had some effects. 1. The proliferation effect of edipocyte 1) At the Taeyangin(太陽人)'s prescriptions and herbs, Okapijangcheok-tang(五加皮壯脊湯) Mihudeungsikjang-tang Acanthopanacis Cortex(五加皮) have a control effect at the boiling water-extract and ethyl alcohol-extract. Phragmitis Rhizoma(蘆根) have a control effect at the ethyl alcohol-extract. 2) At the Taeyangin(太陽人)'s prescriptions and herbs, Taeumjowi-tang(太陰調胃湯) Cheongsimyonja-tang(淸心蓮子湯) Cheongpaesagan-tang(淸肺瀉肝湯) Galkeunbupyong-tang(葛根浮萍湯) have a control effect at the boiling water-extract and ethyl alcohol-extract. Coicis Semen(薏苡仁) Rhei Undulati Rhizoma(大黃) Morl Cortex(桑白皮) Ulmi Cortex(楡根白皮) Kalopanaxii Cortex(海桐皮) · Ephedrae Herba(麻黃) of the boiling water-extract, Holotrichia Vermiculus Kalopanaxii Cortex(海桐皮) of ethyl alcohol-extract have a control effect on edipocytes. Rhei Undulati Rhizoma(大黃) Ulmi Cortex(楡根白皮) Ephedrae Herba(麻黃) of high-density have a cyto-toxicity. 2. The differentiation effect of edipocyte 1) At the Taeyangin(太陽人)'s prescriptions and herbs during the natural differentiation, Phragmitis Rhizoma(蘆根) of the boiling water-extract, Okapijangchek-tang(五加皮壯脊湯) Acanthopanacis Cortex(五加皮) of the ethyl alcohol-extract have a cyto-toxicity on the first-differentiation. 2) At the Taeumin(太陰人)'s prescriptions and herbs during the natural differentiation, Ulmi Cortex (楡根白皮) Kalopanaxii Cortex(海桐皮) of the boiling water-extract have a cyto-toxicity on the first-differentiation. Cheongsimyonja-tang(淸心蓮子湯) Ephedrae Herba(麻黃) of ethyl alcohol-extract have a control effect on the redifferentiation. 3) At the Taeyangin(太陽人)'s prescriptions and herbs on the first-differentiation during the induced differentiation, Acanthopanacis Cortex(五加皮) of ethyl alcohol-extract has a control effect. Okapijangchek-tang(五加皮壯脊湯) Acanthopanacis Cortex(五加皮) Phragmitis Rhizoma(蘆根) of the boiling water-extract have a cyto-toxicity. 4) At the Taeumin(太陰人)'s prescriptions and herbs on the first-differentiation during the induced differentiation, Coicis Semen(薏苡仁) Ephedrae Herba(麻黃) Imperatae Rhizoma(白茅根) of the boiling water-extract and Ephedrae Herba(麻黃) of the ethyl alcohol-extract have a control effect. Kalopanaxii Cortex(海桐皮) of the boiling water-extract and the ethyl alcohol-extract has a cyto-toxicity. Considering this result, the Taeyangin(太陽人) Taeumin(太陰人)'s prescriptions and herbs have a control effect on edipocytes during the proliferation. Acanthopanacis Cortex(五加皮), Coicis Semen(薏苡仁) Ephedrae Herba(麻黃) Imperatae Rhizoma(白茅根) have a control effect on edipocytes during the induced differentiation. In the future, for treating a obesity need a vivo assay and hope this study to help to know the mechanisms of obesity.

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An Improved Online Algorithm to Minimize Total Error of the Imprecise Tasks with 0/1 Constraint (0/1 제약조건을 갖는 부정확한 태스크들의 총오류를 최소화시키기 위한 개선된 온라인 알고리즘)

  • Song, Gi-Hyeon
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.10
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    • pp.493-501
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    • 2007
  • The imprecise real-time system provides flexibility in scheduling time-critical tasks. Most scheduling problems of satisfying both 0/1 constraint and timing constraints, while the total error is minimized, are NP-complete when the optional tasks have arbitrary processing times. Liu suggested a reasonable strategy of scheduling tasks with the 0/1 constraint on uniprocessors for minimizing the total error. Song et at suggested a reasonable strategy of scheduling tasks with the 0/1 constraint on multiprocessors for minimizing the total error. But, these algorithms are all off-line algorithms. In the online scheduling, the NORA algorithm can find a schedule with the minimum total error for the imprecise online task system. In NORA algorithm, EDF strategy is adopted in the optional scheduling. On the other hand, for the task system with 0/1 constraint, EDF_Scheduling may not be optimal in the sense that the total error is minimized. Furthermore, when the optional tasks are scheduled in the ascending order of their required processing times, NORA algorithm which EDF strategy is adopted may not produce minimum total error. Therefore, in this paper, an online algorithm is proposed to minimize total error for the imprecise task system with 0/1 constraint. Then, to compare the performance between the proposed algorithm and NORA algorithm, a series of experiments are performed. As a conseqence of the performance comparison between two algorithms, it has been concluded that the proposed algorithm can produce similar total error to NORA algorithm when the optional tasks are scheduled in the random order of their required processing times but, the proposed algorithm can produce less total error than NORA algorithm especially when the optional tasks are scheduled in the ascending order of their required processing times.