• Title/Summary/Keyword: 수학일지

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A 2kβ Algorithm for Euler function 𝜙(n) Decryption of RSA (RSA의 오일러 함수 𝜙(n) 해독 2kβ 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.7
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    • pp.71-76
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    • 2014
  • There is to be virtually impossible to solve the very large digits of prime number p and q from composite number n=pq using integer factorization in typical public-key cryptosystems, RSA. When the public key e and the composite number n are known but the private key d remains unknown in an asymmetric-key RSA, message decryption is carried out by first obtaining ${\phi}(n)=(p-1)(q-1)=n+1-(p+q)$ and then using a reverse function of $d=e^{-1}(mod{\phi}(n))$. Integer factorization from n to p,q is most widely used to produce ${\phi}(n)$, which has been regarded as mathematically hard. Among various integer factorization methods, the most popularly used is the congruence of squares of $a^2{\equiv}b^2(mod\;n)$, a=(p+q)/2,b=(q-p)/2 which is more commonly used then n/p=q trial division. Despite the availability of a number of congruence of scares methods, however, many of the RSA numbers remain unfactorable. This paper thus proposes an algorithm that directly and immediately obtains ${\phi}(n)$. The proposed algorithm computes $2^k{\beta}_j{\equiv}2^i(mod\;n)$, $0{\leq}i{\leq}{\gamma}-1$, $k=1,2,{\ldots}$ or $2^k{\beta}_j=2{\beta}_j$ for $2^j{\equiv}{\beta}_j(mod\;n)$, $2^{{\gamma}-1}$ < n < $2^{\gamma}$, $j={\gamma}-1,{\gamma},{\gamma}+1$ to obtain the solution. It has been found to be capable of finding an arbitrarily located ${\phi}(n)$ in a range of $n-10{\lfloor}{\sqrt{n}}{\rfloor}$ < ${\phi}(n){\leq}n-2{\lfloor}{\sqrt{n}}{\rfloor}$ much more efficiently than conventional algorithms.

A Study on Development of Achievement Standards and Assessment Standards of Vocational Inquiry Section for 2005 College Scholastic Ability Test - Focus on Food and Nutrition Subject in the Field of Home Economics Order - (2005 수능 직업탐구영역의 과목별 성취기준과 평가기준 개발 - 식품과 영양 과목을 중심으로 -)

  • Na Hyeon-Ju;Min Kyung-Hee;Lee Hwa-young;Pyo Jum-sun;Ha Mi-ok;Jang Myung-Hee
    • Journal of Korean Home Economics Education Association
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    • v.17 no.2
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    • pp.197-219
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    • 2005
  • This study attempted, in accordance with the National Educational Curriculum, to develop achievement assessment standards for a course within the field of home economics which has been widely adopted by Korean vocational high schools, namely, the food and nutrition subject. Focus was also placed on strengthening the management of the curriculum for this food and nutrition course, as well as on establishing proper assessment standards by developing model assessment tools which can be used to assess the subject. The results of this study can be summarized as follows : First, based on an analysis of the related literature and materials. the desired notion of the achievement and assessment standards was established, and their significance ascertained the achievement and assessment standards for the food and nutrition course were set and the type of model assessment tool which should be developed, as well as the method in which it should be applied. was established Second. by analyzing the curriculums and the contents of the textbooks used in the food and nutrition subject, the researcher was able to compile the 70 factors which could to be used to develop the achievement and assessments standards, and then classify these into 6 main categories and 32 sub-categories. Based on the characteristics of these factors and learners' academic performance levels the number of factors was expanded to 89 in order to establish the achievement standards. In turn, these achievement standards were used, in accordance with the learners' achievement and teaming activity levels, to develop three different levels of assessment standards. namely, upper, middle, and lower ones. Third. a model assessment tool was developed which could be used by individual school units as a reference in terms of achievement and assessment standards, and that could be modified to meet each school's circumstances. In order to create the model assessment tool a 100-question questionnaire was formulated that contained various types of questions, such as essay, report, theoretical and practical, portfolio, as well as multiple choice-type questions. Lastly, the researcher introduced measures to effectively use the achievement and assessment standards developed for the food and nutrition course, as well as the model assessment tool in school units.

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The moment generated by the torque of the orthodontic rectangular wire : Three-dimensional finite element analysis (교정용 각형선재에 부여된 torque가 브라켓에 발생시키는 모멘트에 관한 유한요소법적 분석)

  • Ha, Do-Won;Kim, Young-Suk;Sung, Jae-Hyun
    • The korean journal of orthodontics
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    • v.31 no.3 s.86
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    • pp.335-346
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    • 2001
  • The purpose of this study was to investigate the ideal clinical torque(In the SWA rectangular wire, the torque by the angle between the plane part and twisted part to move the tooth) of the orthodontic rectangular wire which produce the proper labiolingual movement of the single tooth during finishing stage of the orthodontic treatment. The clinical torque is the sum of the play and the active torque which generates the moment at the bracket. The play is calculated by the formula and the active torque is calculated by the computer aided three-dimensional finite element method. The finite element model was consist of the three brackets which formed a row and 3 kinds of orthodontic rectangular wire(stainless steel, TMA, NiTi) which inserted in brackets. Both sides of the model were twisted and the moment generated in the center bracket was calculated. The sizes of seven wires which were used commonly were .016'X.022', .017'X.022', .017'X.025', .018'X.025', .019'X.025', .020'X.025', .021'X.025'. In 018' bracket, 016'X.022', .017'X.022', .017'X.025' wires were inserted and in 022' bracket, all the sizes of wires except .016'X.022' were inserted and tested. The following conclusions could be drawn from this study. 1. The moments generated on the same size of the wires by the same active torque were equal regardless of the bracket slot size. 2. The moments were increased with the size of the wires. The moment generated on the .021'X.025' wire was about 1.75 times as large as that on the .016'X.022' wire regardless of the material. 3. The moments were increased in the order of the NiTi, TMA stainless steel. The moment of the TMA wire was 0.35 times as small as that of the stainless steel wire and the moment of the NiTi was0.16 times as small as that of the stainless steel wire. 4. The moment was decreased as the interbracket distance was increased. 5. To get a desired moment with the specific size and material of the wire on the specific bracket slot, the formula and the results were displayed.

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A study on the method of developing achievement and assessment standards for the Subject of "Human Development", "Food and Nutrition" (가사ㆍ실업계 고등학교 전문교과에 대한 성취기준 및 평가기준 개발 방안 연구 -"인간발달"및 "식품과 영양"과목을 중심으로-)

  • Wang Seok-Soon
    • Journal of Korean Home Economics Education Association
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    • v.16 no.3
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    • pp.81-98
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    • 2004
  • This study is to conduct the basic study for the achievement and assessment standards for the subject of 'Human Development' and 'Food and Nutrition', which are the curricula of Vocational Home Economics High Schools. These two subjects were newly adopted in the Vocational study Section of the 2005 College Entrance Examinations. In other words, this study is to provide the basic data for implementing the quality education based on the proper assessment of the curricula. For this purpose. this study analyzed the character & objective of 'Human Development' and 'Food and Nutrition'. Secondly. through the theoretical review for the concept & necessity of absolute evaluation standards. this study ensures the concept of achievement and assessment standards. and also designs the developing measures (including procedures). The achievement standards were developed by the following 5 step procedures. (1) Analyzing the objectives & contents of curricula. (2) Designating the development field of achievement standards (3) Developing the achievement standards. (4) The assessment of achievement standards. (5) Confirming the achievement standards. The assessment standards were developed by the following 5 step procedures. (1) Analyzing the achievement standards, (2) Designating the assessment field (3) Developing the assessment standards (4) Evaluating the assessment standards (5) Confirming the assessment standards Thirdly, this study suggested the exemplary achievement standards and assessment standards for the subject of Human Development, Food and Nutrition. Future study needs some critical review for the method of developing achievement and assessment standards for the subject of Human Development, Food and Nutrition. For example. the properness of 'Contents Element' which was designated as the developing field in the achievement standards, the discussion on validity of Contents Element abstract. the base of evaluating classification in terms of low, middle and high level, and other things should be considered through critical discussion. Especially the follow-up study should include the development of various evaluating methods to enable the clear communication for the achievement and assessment standards based on abstract concept and theory, thereby it could enable the actual interpretation and practical use.

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Analysis of activities task using multiple intelligence in middle school 「Technology·Home Economics」 textbooks - Focusing on the 'Dietary Life' unit according to the curriculum of the 2015 revised Practical Arts(Technology·Home Economics) curriculum - (중학교 기술·가정 교과서 다중지능 활용 활동과제 분석 - 2015 개정 실과(기술·가정) 교육과정에 따른 '식생활' 단원을 중심으로 -)

  • Choi, Seong-Youn;Lee, Young-Sun;Choi, Ye-Ji;Joo, Hyun-Jung;Kim, Seung-Hee;Park, Mi-Jeong
    • Journal of Korean Home Economics Education Association
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    • v.30 no.3
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    • pp.19-42
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    • 2018
  • The purpose of this study is to analyze the tasks of 'dietary life' in the textbook developed according to the 2015 revised middle school 「Technology·Home economics」 education curriculum based on the multiple intelligence teaching and learning methods. To accomplish this purpose, 12 textbooks of middle school 「Technology·Home economics」 textbooks were titled "Nutrition and Dietary Behavior of Adolescents", "Planning and Choosing Meals", "Choosing Foods and Safe Cooking" except the questions, the tasks that the students can perform are analyzed based on the teaching and learning methods using multiple intelligences. Analysis methods were analyzed by using contents analysis method, focusing on learning activities, and sub-questions of activities were all included in each activity, and the process of preparing activities on a continuous line was grouped into one. Three people analyzed the activities and proceeded to revise and supplement the analysis standard through consultation. The other three researchers confirmed it. As a result of analyzing 12 kinds of textbooks, the number of activity tasks was 25~74 for each kind of textbooks, and the total number of activities was 527. According to the ratio of multiple intelligences, 35% of the tasks were using logical-mathematical intelligence, and 26.8% of linguistic intelligence, 23% of intrapersonal intelligence, 7.2% of interpersonal intelligence, 3.8% of spatial intelligence, bodily-kinesthetic(2.7%) and musical intelligence(1.5%). On the other hand, it was analyzed that there is no activity task using naturalist intelligence. Except to the naturalist intelligence, general intelligence was utilized. This indicates that the home economics curriculum is a convergence of the home economics curriculum in that it is a reorganization by extracting the contents and methods of other curriculum related to dietary life, is interpreted. This study is expected to provide a framework for various teaching and learning methods to activate students' participation classes and to provide an alternative to realize convergence education in home economics curriculum.

A Study on Batch-Type Remote Plasma Dry Cleaning Process for Native Oxide Removal (배치식 플라즈마 세정 설비를 이용한 자연산화막 제거 공정)

  • Park, Jae-Young;Yi, Wook-Yeol;Hyung, Yong-Woo;Nam, Seok-Woo;Lee, Hyeon-Deok;Song, Chang-Lyong;Kang, Ho-Kyu;Roh, Yong-Han
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.11a
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    • pp.247-251
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    • 2004
  • 반도체 소자의 제조에 있어 실리콘 표면에 성장한 자연산화막을 제거하기 위해 일반적으로 습식 세정 기술이 이용되어 왔다. 하지만 소자의 최소 선폭(design rule)이 nano급으로 고집적화 됨에 따라 contact hole 바닥의 자연산화막을 깨끗이 제거하는데 있어서 그 한계를 나타나고 있다. 이에 대한 효과적인 대안 공정으로 가스 건식 세정 기술이 연구되고 있다. 본 논문에서는 한 번에 50매 이상의 웨이퍼를 처리함으로써 생산성 측면에서 월등한 배치식 설비에서 원거리 플라즈마(remote plasma) 장치에서 2.450Hz의 마이크로웨이브(${\mu}$-wave)에 의해 형성시킨 수소라디칼과 $NF_3$ 가스를 이용하여 실리콘에 결함을 주지 않고 자연산화막을 선택적으로 제거하는 공정에 대해 고찰하였다. AFM을 이용한 표면분석, TEM을 이용한 물성분석, 그리고 ToF-SIMS 및 XPS를 이용한 화학 분석을 습식 및 건식 세정을 비교 평가한 결과, 건식 세정 공정이 실리콘 표면에 결함을 주지 않고 자연산화막을 제거 할 수 있음을 확인하였다. 산화막$(SiO_2)$, 질화막$(Si_3N_4)$, 그리고 다결정 실리콘(Poly-Si) 등의 각 막질별 식각 특성을 고찰하였으며, $NH_3$의 캐리어 가스인 $N_2$의 주입량을 조절함으로써 수소라디칼 형성 효율의 개선이 가능하였으며, 이로부터 게이트와 소스/드레인 사이를 절연하기 위해 이용되는 질화막의 식각 선택비를 2배 정도 개선할 수 있었다. nano급 소자에 실장하여 평가한 결과에서 불산(HF)에 의한 습식 세정 방식에 비하여 약 $20{\sim}50%$ 정도의 contact 저항 감소 효과가 있음이 확인되었다.두 소자 모두 $40mA/cm^2$ 에서 이상적인 화이트 발란스와 같은(0.33,0.33)의 색좌표를 보였다.epsilon}_0=1345$의 빼어난 압전 및 유전특성과 $330^{\circ}C$의 높은 $T_c$를 보였고 그 조성의 vibration velocity는 약4.5 m/s로 나타났다.한 관심이 높아지고 있다. 그러나 고 자장 영상에서의 rf field 에 의한 SAR 증가는 중요한 제한 요소로 부각되고 있다. 나선주사영상은 SAR 문제가 근원적으로 발생하지 않고, EPI에 비하여 하드웨어 요구 조건이 낮아 고 자장에서의 고속영상방법으로 적합하다. 본 논문에서는 고차 shimming 을 통하여 불균일도를 개선하고, single shot 과 interleaving 을 적용한 multi-shot 나선주사영상 기법으로 $100{\times}100$에서 $256{\times}256$의 고해상도 영상을 얻어 고 자장에서 초고속영상기법으로 다양한 적용 가능성을 보였다. 연구에서 연구된 $[^{18}F]F_2$가스는 친핵성 치환반응으로 방사성동위원소를 도입하기 어려운 다양한 방사성의 약품개발에 유용하게 이용될 수 있을 것이다.었으나 움직임 보정 후 영상을 이용하여 비교한 경우, 결합능 변화가 선조체 영역에서 국한되어 나타나며 그 유의성이 움직임 보정 전에 비하여 낮음을 알 수 있었다. 결론: 뇌활성화 과제 수행시에 동반되는 피험자의 머리 움직임에 의하여 도파민 유리가 과대평가되었으며 이는 이 연구에서 제안한 영상정합을 이용한 움직임 보정기법에 의해서 개선되었다. 답이 없는 문제, 문제 만들기, 일반화가 가능한 문제 등으로 보고, 수학적 창의성 중 특히 확산적 사고에 초점을 맞추어 개방형 문제가 확

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Relationships between Fatty Acids and Tocopherols of Conventional and Genetically Modified Peanut Cultivars Grown in the United States (미국산 전통품종과 유전자 재조합 땅콩품종의 지방산과 토코페롤의 상관관계)

  • Shin, Eui-Cheol
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.42 no.10
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    • pp.1618-1628
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    • 2013
  • Relationships between fatty acids and tocopherols in conventional and genetically modified peanut cultivars were studied by gas chromatography with flame ion detector and high performance liquid chromatography with fluorescence detection. Eight fatty acids and four tocopherol isomers in the sample set were identified and quantified. Oleic acid and linoleic acid are major fatty acids and the ratio of oleic and linoleic acids ranged from 1.11 to 16.26. Tocopherols contents were 6.76 to 12.24 for ${\alpha}$-tocopherol (T), 0.08 to 0.39 for ${\beta}$-T, 5.28 to 15.02 for ${\gamma}$-T, and 0.17 to 1.17 mg/100 g for ${\delta}$-T. Correlation coefficient (r) for fatty acids and tocopherols indicated a strong inverse relationship between oleic & linoleic acids (r=-0.97, P<0.05) and positive relationships between palmitic & linoleic acids (r=0.95, P<0.05) and ${\gamma}$-T & ${\delta}$-T (r=0.83, P<0.05). Principal component analysis (PCA) of fatty acids and tocopherols gave four significant principal components (PCs, with eigenvalues>1), which together account for 85.49% of the total variance in the data set with PC1 and PC2 contributing 45.27% and 21.33% of the total variability, respectively. Eigen analysis of the correlation matrix loadings of the four significant PCs revealed that PC1 was mainly contributed by palmitic, oleic, linoleic, and gondoic acids, while PC2 was by behenic acid, ${\beta}$-T, and ${\gamma}$-T. The score plot generated by PC1-PC2 identified sample clusters in the two spatial planes based on the oleic and linoleic acids. The score plot PC3-PC4 didn't separate sample groups.

The Verification of Computer Simulation of Nitinol Wire Stent Using Finite Element Analysis (유한요소법을 이용한 나이티놀 와이어 스텐트의 전산모사 실험 데이터 검증)

  • Kim, Jin-Young;Jung, Won-Gyun;Jeon, Dong-Min;Shin, Il-Gyun;Kim, Han-Ki;Shin, Dong-Oh;Kim, Sang-Ho;Suh, Tae-Suk
    • Progress in Medical Physics
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    • v.20 no.3
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    • pp.139-144
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    • 2009
  • Recently, the mathematical analysis of stent simulation has been improved, with the help of development of various tool which measure mechanical property and location of stent in artery. The most crucial part of the stent modeling is how to design ideal stent and to evaluate the interaction between stent and artery. While there has been great deal of researches on the evaluation of the expansion, stress distribution, deformation of the stent in terms of the various parameters, few verification through computer simulation has been performed about deformation and stress distribution of the stent. In this study, we have produced the corresponding results between experimental test using Universal Testing Machine and computer simulation for the ideal model of stent. Also, we have analyzed and compared stress distribution of stent in the cases of that with membrane and that without membrane. The results of this study would provide minimum change of plan and good quality for ideal stent replacing damaged artery through the analysis using computer simulation in the early stage of stent design.

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DIAGNOSTIC VALIDITY OF THE K-ABC AND THE K-LDES FOR CHILDREN WITH LEARNING DISORDER AND LEARNING PROBLEM (학습장애를 가진 아동에 대한 K-ABC와 K-LDES의 진단적 타당도)

  • Shin, Min-Sup;Cho, Soo-Churl;Kim, Boong-Nyun;Jeon, Sun-Young
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.14 no.2
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    • pp.209-217
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    • 2003
  • Object:This study examined the diagnostic validity of the K-ABC and the K-LDES for identifying the cognitive deficits and the learning difficulty of children with learning disorder and to diagnose the learning disorder. Method:The clinical group consisted of 15 children with learning disorder or attention deficit hyperactivity disorder accompanying learning problem(LP) and 14 children with attention deficit hyperactivity disorder. They were diagnosed either learning disorder or attention deficit hyperactivity disorder based on DSM-IV criteria by child psychiatrists and clinical psychologists visiting Seoul National University Children’s Hospital. The normal group was composed of 15 children be going to an elementary school. All groups were between the age of 7 and 12. The K-ABC was administered to the clinical and the normal group. The K-LDES was also administered to mothers of all groups. Result:There were no significant differences on sequential, simultaneous, mental processing subscales of the K-ABC in three groups. However, The LP group showed slightly lower scores on Achievement scale and significant low scores on Reading/Decoding than the other groups. On K-LDES, LP group showed significant low scores on Listing, Thinking, Reading, Writing, Spelling, Mathematical calculation, Learning quotient(LQ) than the other groups. Also there were significant correlations between K-ABC and K-LDES subscales. Conclusion:The result of present study showed that the K-ABC and the K-LDES are a valid and effective instruments for evaluating and diagnose the learning disorder.

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Development of a Small Size Hammer Mill for Farm Use (I) (농가용(農家用) 소형(小型) 사료(飼料) 분쇄기(粉碎機) 개량(改良)에 관(關)한 연구(硏究) (I))

  • Chang, D.I.;Kim, S.R.;Kim, M.S.;Lee, B.D.;Yi, K.J.
    • Korean Journal of Agricultural Science
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    • v.10 no.2
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    • pp.334-344
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    • 1983
  • This study was conducted to investigate the variables affecting the performance of hammer mills by the theoretical and dimensional analysis, and evaluate the power requirements of hammer mills for farm use in Korea. From the theoretical analysis, 16 variables affecting the performance of hammer mills were defined. In order to develop the mathematical relationships among the variables, the dimensional analysis was made for power requirements and $12{\pi}$ parameters were obtained. For the evaluation of the power requirements of hammer mills, approximate rates of grinding for 1HP, 3HP, 5HP, 6HP, 8HP, and 10HP were analyzed. Then, the fineness of grinding recommendation and average feeding rate of grain for livestock which is native cattle, dairy cattle, beef cattle, swine, broilers, and layers, were estimated. Finally number of livestock feeding shelled corn and barley were estimated from the above for one hour's hammer mill operation having the various power requirements. From this study it is known that 5HP is considered as an enough power for feed grinding of any kinds of livestock of Korean farm, as far as the grinding capacity is concerned.

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