• Journal for History of Mathematics
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• v.22 no.2
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• pp.99-116
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• 2009

In this paper we study errors related with constructing regular polygons in the book 'Method of Ruler and Compass' written three hundreds years ago. It is well known that regular heptagon and regular nonagon are not constructible using compass and ruler. But in this book construction methods of these regular polygons is suggested. We show that the construction methods are incorrect, it include some errors.

• Korean Journal of Materials Research
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• v.2 no.2
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• pp.95-100
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• 1992

The bond lengths, bond angles and energies of $C_6$ clusters are calculated by using the simulation technique based on some semiempirical potential energy functions, with the result that the equilibrium configuration of $C_6$ is a regular equilateral hexagon. The same simulations have been performed for linear and cyclic forms of $C_7-C_10$ clusters and the results show that the regular heptagonal, octagonal, nonagonal and decagonal forms are more stable than the linear forms of the respective clusters. Comparison of this result with the present author's previous result that the most stable configurations of $C_2-C_5$ are linear implies that the most stable configuration of the cluster changes from one-dimension al to two-dimensional one as the cluster size increases and that the critical cluster size is $C_6$.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.22 no.2
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• pp.617-624
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• 2021

Concrete-filled steel tubular columns can improve the strength and deformation capacity of structures, thereby enabling the development of efficient structures. The Korean design standard (KDS41) regarding concrete-filled steel tubular structures, established by the architectural institute of Korea in 2005, was revised in 2009 and 2016. The objective was to understand the compressive strengths and deformation capacity of stub columns for concrete-filled square steel tubes under uniaxial compression and validate the KDS41's standard code for necessary corrections. Experiments were conducted on 26 specimens with parameters, such as the width-thickness ratio of cold-formed square tubes. The following values of the stub columns for concrete-filled square steel tubes were obtained: compressive strengths, relationship between the axial load and axial displacement, and failure modes. An analysis of these results enabled an understanding of the concrete-filled effect and the influence of the wide-thickness ratio. The compressive strengths of filled concrete saw a 9% increase compared to a state of uniaxial stress, which must be noted in a future edition of KDS41. After benchmarking the results regarding square steel tubes generated by cold forming to the guidelines provided by the KDS41, the KDS41's value of 2.26 for the limiting width-to-thickness ratio for the compact section was found to be inflated. With a safety concern, this paper proposes a more conservative value of 1.35.

• Journal of Biosystems Engineering
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• v.7 no.2
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• pp.57-71
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• 1983

마찰식 정미기의 성능에 영향을 미치는 기계설계 및 작동상의 인자로는 스크린의 형태, 롤러의 형태, 롤러회전속도, 출구 저항 등 여러가지가 있다. 이러한 요인들에 대한 연구가 본 논문의 저자에 의해서 시리즈로 연구되어 왔으며, 본 연구는 그의 일환으로 스크린의 단면형상(6각, 8각, 12각 그리고 원통형), 스크린에 뚫려있는 슬랏의 기울기($15^{\circ}$, $30^{\circ}$, $45^{\circ}$ 그리고 $-45^{\circ}$), 그리고 출구 저항이 정백미의 질과 양, 정백효율 그리고 정백실내의 정백압력 등에 미치는 영향을 규명하기 위해 수행되었다. 이 실험에 사용된 공시 정미기는 임도정 공장에서 널리 사용되고 있는 흡입마찰식이었며, 사용된 시료는 밀양 23호인 통일계품종이었다. 각 처리마다 동력 소모량과 정백실내의 정백압력을 측정하기 위해서 "KYOWA" 스트레인 게이지 시스템(strain gauge system), 토오크 변환기, 압력변환기 등이 사용되었다. 본 실험 결과를 요약하면 다음과 같다. 1) 정백과정중에 정백실내의 정백압력은 입구에서 가장 높았고 출구쪽으로 갈수록 점차 감소하였다. 평균 정백압력도 순환 횟수에 따라서 변화 하였는데 첫번째 순환에서 가장 높았고 순환횟수가 증가함에 따라 감소하였다. 2) 본 실험에서 사용한 출구저항 수준은 출구저항 수준 1에서 요구되는 정백도의 백미를 얻기 위한 순환 횟수는 2회 이었고 출구저항 수준 2에서는 4회 이었는데, 이를 출구저항 수준이 정백압력, 정백율, 완전미수율 및 도정 효율에 가장 큰 영향을 주었다. 3) 스크린에 뚫려있는 슬랏 각도가 $15^{\circ}$에서 $45^{\circ}$로 증가함에 따라서 정백실내의 평균 정백압력은 감소하였고, 완전미수율과 도정 효율은 증가하였으나, 일반적으로 도정수율은 감소하는 경향을 보였다. $-45^{\circ}$의 슬랏 각도를 가진 스크린에서는 슬랏 각도 $15^{\circ}$인 스크린에서와 거의 비슷한 정백압력 수준을 나타냈으나 완전미와 정백미의 생산은 매우 낮았다. 4) 스크린 표면에 기다란 강편 (보통 "띠"라고 부름)을 붙인 원통과 12각형의 스크린에서는 강편을 붙이지 않은 6각형과 8각형 스크린에서 보다는 비교적 높은 정백압력을 나타냈다. 전자는 후자에 비해서 정백효율은 높았으나 완전미수율은 떨어졌다. 5) 정백실내에서 가장 낮은 정백압력을 나타낸 8각형 스크린은 높은 도정수율과 완전미수율을 가져왔으나 상대적으로 정백효율은 낮게 나타났다. 6) 정백실내의 반경 방향의 평균 정백압력($P_R$)과 완전미수율($Y_h$)은 다음과 같은 1차적인 역비례 관계가 있었으며(평균 정백압력 범위는 0.5-0.9kg/$cm^2$), $Y_h=-28.661P_R+84.860$ ($r^2=0.858$) 정백효율($Y_e$)과 정백압력($P_R$) 사이에는 다음과 같은 2차적인 관계가 존재함을 알 수 있었다. $Y_e=-597.5P_{R^2}+929.96P_R-210.15$ ($r^2=0.759$) 정백효율은 정백압력이 0.7-0.8kg/$cm^2$일 때 가장 높았으며, 이때 변이도 가장 심한 것으로 나타났다.

• The Mathematical Education
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• v.61 no.2
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• pp.323-338
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• 2022

The purpose of this study are to analyze how well middle and high school students understand the concept definition of quadrangle and to explore the phenomenon about their concept image. A test tool was developed and 60 8th graders, 63 9^th graders and 65 10^th graders were tested, and some students who needed in-depth analysis were interviewed. The results are as follows. First, it cannot be said that understanding level of the concept definition of the quadrangle naturally improves as the grade level goes up. Particularly, it was found that the understanding of the definition of the rhombus is the lowest in all three grades compared to other quadrangle. Second, although female students understood the definition of square better than male students, the understanding level of the definition of trapezoid, parallelogram, rhombus, and rectangle did not differ by gender. Third, it was found that the students who did not understand the concept definition of the quadrangle were more and more influenced by the concept image as the grade level went up. Fourth, it showed that a tendency to be less influenced by the concept definition and more influenced by textbooks and teachers as the grades go up when students form a concept image.

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.9 no.5
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• pp.463-469
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• 1999

The potassium lithium niobate $K_3$$Li_2$$Nb_5$$O_{15}$ single crystals were growing in $K_x$$Li_{1-x}$$NbO_3$ (x = 0.4~0.6) chemical formular by the Czorchralski method. Crystal growth is studied in two orientations with growth along a-axis and c-axis. We have subjected this crystal to x-ray diffraction studies and found that they are single-crystalline and belong to tetragonal system with the lattice parameters a = b = 12.577 $\AA$ and c = 3.997$\AA$. The temperature dependence of dielectric constant was measured in the region of the phase transition. Curie temperature and diffuseness of phase transition are influenced by composition concentration. The composition and cation distribution of ferroelectric TB-type niobate crystals has a strong influence on the ferroelectric properties. Growth condition, optical transmittance, etching pattern and dielectric properties are presented and discussed.

• Korean Journal of Breeding Science
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• v.40 no.2
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• pp.201-205
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• 2008

'Morningpurple' is a new sweetpotato variety developed by Mokpo Experiment Station, National Institute of Crop Science (NICS), RDA in 2007, for flowering. This variety was selected from the cross between Sinchunmi and Hi-dry in 2004, seedling and line selections were practiced from 2005 to 2006. 'Morningpurple' has morning glory type flowers with purple color. It has triangular leaf, green with purple vine and petiole, elliptic storage root, red skin and yellow flesh color of storage root. The average yield of storage root was 15.0 ton/ha. Number of storage roots over 50 gram per plant was 2.6, and the average weight of storage root was 143 gram.

• The korean journal of orthodontics
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• v.41 no.6
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• pp.399-410
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• 2011

Objective: The purpose of this study was to evaluate the difference in frictional resistance among metal, ceramic, self-ligation brackets and coated or non-coated Ni-Ti archwires at various bracket-archwire angulations during the sliding movement of an orthodontic archwire, using an orthodontic sliding simulation device. Methods: Four types of bracket (Micro-arch Perpect Clear2 Clippy-C and Damon3 and 5 types of orthodontic archwire (0.014", 0.016", and 0.016" ${\times}$ 0.022" inch coated Ni-Ti, and 0.016" and 0.016" ${\times}$ 0.022" inch Ni-Ti) were used. Further, the bracket- archwire angles were set at 4 different angulations: $0^{\circ}$, $3^{\circ}$, $6^{\circ}$, and $9^{\circ}$. Results: The frictions from all the experimental groups were found to be significantly increased in order of self-ligation brackets, Micro-arch and Perpect Clear2 ($p$ < 0.001). The presence of a coat had no effect on the friction of the same sized archwires at $0^{\circ}$ and $3^{\circ}$ bracket-archwire angles ($p$ < 0.001). Coated archwires had significantly higher frictions than the same sized non-coated archwires at $6^{\circ}$ and $9^{\circ}$ bracket-archwire angles ($p$ < 0.001). The frictions increased significantly as the bracket-archwire angles were increased ($p$ < 0.001). Conclusions: The use of self-ligation brackets will be beneficial in clinical situations where a low frictional force is required. Further, in cases where crowding is not severe, the use of coated archwires should not cause problems. However, more additional explanation is required considering the fact that the damage of coated archwire and exposure of the metal portion in case of binding and notching and the effects of saliva were not taken into account.

• Korean Journal of Materials Research
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• v.9 no.3
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• pp.274-281
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• 1999

Usually sputtering and electroless plating methods were used for manufacturing metal-alloy thin film magnetic memory devices. Since electroless plating method has many merits in mass production and product variety com­pared to sputtering method, many researches about electroless plating have been performed in the United State of America and Japan. However, electroless plating method has not been studied frequently in Korea. In these respects the purpose of this research is manufacturing Co-Mn-P alloy thin film on the corning glass 2948 by electroless plating method using sodium hypophosphite as a reductant, and analyzing deposition rate, alloy composition, microstructure, and magnetic characteristics at various pH's and temperatures. For Co-P alloy thin film, the reductive deposition reaction 0$\alpha$urred only in basic condition, not in acidic condition. The deposition rate increased as the pH and temperature increased, and the optimum condition was found at the pH of 10 and the temperature of $80^{\circ}C$. Also magnetic charac­teristics was found to be most excellent at the pH of 9 and the temperature of $70^{\circ}C$, resulting in the coercive force of 8700e and the squareness of 0.78. At this condition, the contents of P was 2.54% and the thickness of the film was $0.216\mu\textrm{m}$. For crystal orientation, we could not observe fcc for $\beta$-Co. On the other hand,(1010), (0002), (1011) orientation of hcp for a-Co was observed. We could confirm the formation of longitudinal magnetization from dominant (1010) and (1011) orientation of Co-P alloy. For Co-Mn-P alloy deposition, coercive force was about 1000e more than that of Co P alloy, but squareness had no difference. For crystal orientation, (l01O) and (lOll) orientation of $\alpha$-Co was dominant as same as that of Co- P alloy. Likewise we could confirm the formation of longitudinal magnetization.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.28 no.2
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• pp.194-201
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• 1995

In order to make clear the resistance of bag nets, the resistance R of bag nets with wall area S designed in pyramid shape was measured in a circulating water tank with control of flow velocity v and the coefficient k in $R=kSv^2$ was investigated. The coefficient k showed no change In the nets designed in regular pyramid shape when their mouths were attached alternately to the circular and square frames, because their shape in water became a circular cone in the circular frame and equal to the cone with the exception of the vicinity of frame in the square one. On the other hand, a net designed in right pyramid shape and then attached to a rectangular frame showed an elliptic cone with the exception of the vicinity of frame in water, but produced no significant difference in value of k in comparison with that making a circular cone in water. In the nets making a circular cone in water, k was higher in nets with larger d/l, ratio of diameter d to length I of bars, and decreased as the ratio S/S_m$ of S to the area $S_m$ of net mouth was increased or as the attack angle 9 of net to the water flow was decreased. But the value of ks15m was almost constant in the region of S/S_m=1-4$ or $\theta=15-90^{\circ}$ and in creased linearly in S/S_m>4 or in $\theta<15^{\circ}$ However, these variation of k could be summarized by the equation obtained in the previous paper. That is, the coefficient $k(kg\;\cdot\;sec^2/m^4)$ of bag nets was expressed as $$k=160R_e\;^{-01}(\frac{S_n}{S_m})^{1.2}\;(\frac{S_m}{S})^{1.6}$$ for the condition of $R_e<100$ and $$k=100(\frac{S_n}{S_m})^{1.2}\;(\frac{S_m}{S})^{1.6}$$ for $R_e\geq100$, where $S_n$ is their total area projected to the plane perpendicular to the water flow and $R_e$ the Reynolds' number on which the representative size was taken by the value of $\lambda$ defined as $$\lambda={\frac{\pi d^2}{21\;sin\;2\varphi}$$ where If is the angle between two adjacent bars, d the diameter of bars, and 21 the mesh size. Conclusively, it is clarified that the coefficient k obtained in the previous paper agrees with the experimental results for bag nets.