• Title/Summary/Keyword: The Golden Ratio

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An Analysis of Descriptions about the History of Mathematics in the 2015 Mathematics Textbooks and Teacher Guides for Elementary School Level (2015 초등 수학 교과서 및 지도서의 수학사 기술내용 분석)

  • Park, Mingu
    • Communications of Mathematical Education
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    • v.36 no.1
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    • pp.171-199
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    • 2022
  • In this study, we review contents to supplement the descriptions of the history of mathematics in the 2015 mathematics textbooks and teacher guides for the elementary school level and offer our opinion on them. For this purpose, we conducted a literature review on 24 types of 2015 mathematics textbooks and teacher guides for the elementary school level. The results of this study are as follows: A total of 10 topics were found whose contents were supplemented with descriptions. They were the "Arithmetic of the Ancient Egyptians," the "A'h-mosè Papyrus in Mathematics Textbooks of the Ancient Egyptians," "The Old Akkadian Square Band in Mesopotamia," "The Relationship of the Old Babylonians in Mesopotamia with the Angle," "The Pi of the Ancient Egyptians and the Old Babylonians," "The Square Roots 2 of the Ancient Egyptians and the Old Babylonians," "The Relationship of the Islamites with the Decimal Fraction," "Two Arguments for the Roots of the Golden Ratio," "The Relationship of Archimedes with the Exhaustion Method," and "The Design of Flats." Then, their specific supplements were suggested. It is expected that this will overcome the perspective of the history of the Axial Age and acknowledge and accept the perspective evidencing the transfer of mathematical culture from Ancient Egypt and Old Babylonia to Ancient Greece and Hellenism, and then through Central Asia to Europe.

A Study on the Rhythm Design Methodology of Landscape Architecture through the Design Principles Analysis of Oksan Seowon Traditional Slope Walls (옥산서원 경사지담장의 디자인원리분석을 통한 조경리듬설계방법론 연구)

  • Koo, Min-Ah
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.34 no.2
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    • pp.45-54
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    • 2016
  • For the design of landscape, quantitative research is very important data for the designer. In this regard, this study analyzed the rhythm of the wall of Oksan Seowon, which horizontally ascends the slope, as the principles of design. This resulted in the deduction of the numerical proportion and progression, which became design motifs and proposed a design method, which can be applied in landscape rhythm design. The Oksan Seowon is a very valuable cultural heritage, where a very meticulous design principles were found as a result of the analysis of the slope rhythm, for which the proportion and scale were employed. A principle of proportion was found, where an asymmetric balance was formed by weighting the lower part of the slope, in accordance with the degree of the slope. Also, The scale of the height of the wall was based on the human scale. The aesthetic rhythmic design progression was derived from the area and the horizontal line rhythm of the walls. Also, They found out the Fibonacci series and golden ratio. The fact that cultural heritage was analyzed of aesthetic design principles by the very systematic quantitative method is of great significance. Moreover, derived motifs proposed examples of an application of analyzed rhythm progression to the landscape rhythm design. This research will be able to function as the frame and data for the design method of the landscape rhythm.

Development of Applied Music Education Program for Creative and Convergent Thinking-With a Focus on the Capstone design Class (창의·융합적 사고를 위한 실용음악 교육프로그램 개발-캡스톤디자인 수업을 중심으로)

  • Yun, Sung-Hyo;Han, Kyung-hoon
    • The Journal of the Convergence on Culture Technology
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    • v.10 no.4
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    • pp.285-294
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    • 2024
  • This study aims to enhance learners' creative and integrative thinking through the use of a practical music education program, facilitating high-quality artistic activities and the integration of various disciplines. To achieve this, a practical music education program incorporating the PDIE model was designed, and the content validity of the developed program was verified. Through this process, We have researched and described methodologies for multidisciplinary research that can be applied in practical music education. This paper focuses on the fourth session of the study, which deals with the creative and integrative education of practical music and mathematics. The mathematical theory of interest in this research is the Fibonacci sequence, fundamental to the golden ratio in art. The goal is to enable balanced and high-quality creative activities through learning and applying the Fibonacci sequence. Additionally, to verify the validity and effectiveness of the instructional plan, including the one used in the 15-week course, we have detailed the participants involved in the content validation, the procedures of the research, the research tools used, and the methods for collecting and analyzing various data. Through this, We have confirmed the potential of creative and integrative education in higher practical music education and sought to develop educational methodologies for cultivating various creative talents in subsequent research.

A Study on MR Imaging Method for The Patient with Inserting Shoulder Joint Suture Anchor (견관절 삽입술을 시행한 환자의 자기 공명 영상법에 관한 연구)

  • Park, Eui-Cheol;Bae, Seok-Hwan;Ryu, Yeun-Chul;Park, Young-Joon;Kim, Yong-Gwon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.22 no.4
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    • pp.513-519
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    • 2021
  • Metallic suture anchors are very useful and common fixation devices that are inserted into the target bone to sustain the tendon of a patient with musculus supraspinatus tendon ruptures. On the other hand, the presence of a metallic material prosthesis, such as a metal suture anchor, causes severe MR imaging artifacts, including field distortion, signal loss, and failure of fat suppression. The difference in magnetic susceptibility between metal and other organic materials causes magnetic field distortion surrounding the prosthesis. The resulting magnetic field inhomogeneity makes the images with a lower signal-to-noise ratio and distortion. For a patient with a suture anchor implanted, MR imaging is the golden standard for determining the postoperative prognosis, and a fat-saturation sequence is one of the imaging methods most affected by metal-induced artifacts. In this study, three fat-saturation sequences were compared. Artifact quantification and contrast comparison between the supraspinatus tendon and the surrounding muscle were presented. The images obtained using the STIR pulse sequence showed fewer susceptibility artifacts and better visibility in the supraspinatus tendon and the tissue area. Therefore, the STIR sequence is the most appropriate fat-saturation imaging method for patients with a metallic prosthesis.

An Experimental Study on Ground Reinforcement Effect of Concrete and Expansion Mat for Prevention of Buried Pipe Damage (지중매설관 손상 방지를 위한 콘크리트매트와 팽창매트의 지반보강효과에 관한 실험적 연구)

  • Park, Jeong-Jun;Shin, Heesoo;Yuu, Jungjo;Hong, Gigwon
    • Journal of the Korean Geosynthetics Society
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    • v.18 no.1
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    • pp.91-101
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    • 2019
  • Recently, small-scale excavation like ground cavity restoration and buried pipe replacement works are being carried out in urban area, in order to improve living convenience. This paper describes experiment results on the ground reinforcement method that can reduce the buried pipe damage, when the differential settlement occurred due to poor compaction of ground below the buried pipe. Plate load tests were conducted to evaluate a reinforcement effect of ground using concrete mat and expansion mat in the ground below the buried pipe. The results showed that the stress reduction ratio by concrete mat and expansion mat according to the surcharge load was about 46%~48% and 39%~42%, respectively. Therefore, the differential settlement of the buried pipe and the ground deformation below the buried pipes were reduced by the reinforcement effect of the concrete mat and expansion mat. This means that it is possible to prevent a buried pipe damage due to underground cavity and ground subsidence, if concrete mat and expansion mat are reinforced in the ground below the buried pipe or on the ground between the buried pipes.

PEMOCVD of Ti(C,N) Thin Films on D2 Steel and Si(100) Substrates at Low Growth Temperatures

  • Kim, Myung-Chan;Heo, Cheol-Ho;Boo, Jin-Hyo;Cho,Yong-Ki;Han, Jeon-Geon
    • Proceedings of the Korean Vacuum Society Conference
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    • 1999.07a
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    • pp.211-211
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    • 1999
  • Titanium nitride (TiN) thin films have useful properties including high hardness, good electrical conductivity, high melting point, and chemical inertness. The applications have included wear-resistant hard coatings on machine tools and bearings, decorative coating making use of the golden color, thermal control coatings for widows, and erosion resistant coatings for spacecraft plasma probes. For all these applications as feature sizes shrink and aspect ratios grow, the issue of good step coverage becomes increasingly important. It is therefore essential to manufacture conformal coatings of TiN. The growth of TiN thin films by chemical vapor deposition (CVD) is of great interest for achieving conformal deposition. The most widely used precursor for TiN is TiCl4 and NH3. However, chlorine impurity in the as-grown films and relatively high deposition temperature (>$600^{\circ}C$) are considered major drawbacks from actual device fabrication. To overcome these problems, recently, MOCVD processes including plasma assisted have been suggested. In this study, therefore, we have doposited Ti(C, N) thin films on Si(100) and D2 steel substrates in the temperature range of 150-30$0^{\circ}C$ using tetrakis diethylamido titanium (TDEAT) and titanium isopropoxide (TIP) by pulsed DC plamsa enhanced metal-organic chemical vapor deposition (PEMOCVD) method. Polycrystalline Ti(C, N) thin films were successfully grown on either D2 steel or Si(100) surfaces at temperature as low as 15$0^{\circ}C$. Compositions of the as-grown films were determined with XPS and RBS. From XPS analysis, thin films of Ti(C, N) with low oxygen concentration were obtained. RBS data were also confirmed the changes of stoichiometry and microhardness of our films. Radical formation and ionization behaviors in plasma are analyzed by optical emission spectroscopy (OES) at various pulsed bias and gases conditions. H2 and He+H2 gases are used as carrier gases to compare plasma parameter and the effect of N2 and NH3 gases as reactive gas is also evaluated in reduction of C content of the films. In this study, we fond that He and H2 mixture gas is very effective in enhancing ionization of radicals, especially N resulting is high hardness. The higher hardness of film is obtained to be ca. 1700 HK 0.01 but it depends on gas species and bias voltage. The proper process is evident for H and N2 gas atmosphere and bias voltage of 600V. However, NH3 gas highly reduces formation of CN radical, thereby decreasing C content of Ti(C, N) thin films in a great deal. Compared to PVD TiN films, the Ti(C, N) film grown by PEMOCVD has very good conformability; the step coverage exceeds 85% with an aspect ratio of more than 3.

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Study on the Protection and Management of Wildbirds in Chuwangsan National Park (주왕산국립공원내 야생조류의 보호 및 관리에 관한 연구)

  • 이우신;박찬열;조기현
    • Korean Journal of Environment and Ecology
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    • v.8 no.2
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    • pp.183-192
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    • 1995
  • This study was conducted to investigate bird community and to suggest a proper way how to manage and protect wildbirds in Chuwangsan National Park. The survey was carried out over two survey sections by the line transect method in spring, summer and autumn in 1994. Total number of observed birds were 42 species(33 species in spring, 32 species in summer, and 26 species in autumn), and the result was the same with the typical pattern of temperate bird communities. Total number of natural monument and rare birds were 7 species, which included Golden Eagle(Aquila chrysaetos), Chinese Sparrow Hawk(Accipter soloensis), Eagle Owl(Bubo bubo), etc. In breeding season, species richness was high in canopy nesting guild, and density(ea/ha) was high in hole nesting guild. Canopy foraging guild was dominated in spring and summer, ratio of bush(or ground) foraging guild was increased in autumn. Since the habitats of observed natural monuments and rare species were roughly overlapped with the nature preservation area, it is necessary to preserve the area completely and to investigate and protect these species continuously. For the protection of the bush(or ground) foraging guild, it needs to plant bushes around trails and to control users. Food plants, artificial food planting of bushs, and artificial nest are needed for the habituation of wildbirds, and as the damage of wild cats is increasing lately, it needs to control these cats.

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Association between Interleukin 31 Receptor A Gene Polymorphism and Schizophrenia in Korean Population

  • Ban, Ju-Yeon;Kim, Su-Kang;Kim, Hak-Jae;Chung, Joo-Ho;Kim, Tae;Park, Jin-Kyung;Park, Hyun-Kyung;Kim, Jong-Woo
    • The Korean Journal of Physiology and Pharmacology
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    • v.12 no.4
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    • pp.205-209
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    • 2008
  • Recently, Sun et al (2008) reported that the IL6R polymorphism is associated with schizophrenia. Therefore, to detect the association between polymorphisms of interleukin 31 receptor A (IL31RA) and schizophrenia, we genotyped 9 SNPs [rs9292101 (intron 1), rs1009639 (exon 2, Pr043Pro), rs2161582 (intron 2), rs68761890 (intron 5), rs16884629 (intron 6), rs11956465 (intron 12), rs12153724 (intron 12), and rs16884641 (intron 14)] using the Golden Gate assay on Illumina BeadStation 500 GX. Two hundred eighteen patients with schizophrenia and 379 normal subjects were recruited. Patients with schizophrenia were diagnosed according to DSM-IV, and control subjects without history of psychiatric disorders were selected. We used SNPStats, Haploview, HapAnalyzer, SNPAnalyzer, and Helixtree programs for the evaluation of genetic data. Of nine polymorphisms, three SNPs (rs9292101, rs1009639, and rs11956465) were associated with schizophrenia. The rs9292101 and rs11956465 showed significant associations with the risk of schizophrenia in the codominant [rs9292101, odds ratio (OR)=0.74, 95% confidence interval (CI)=0.58${\sim}$0.95, p=0.017] and recessive (rs11956465, OR=0.64, 95% CI=0.42${\sim}$0.96, p=0.034) models, respectively. The rs1009639 also was statistically related to schizophrenia in both codominant (OR=0.76, 95% CI=0.60${\sim}$0.97, p=0.025) and dominant (OR=0.66, 95% CI=0.44${\sim}$0.98, p=0.035) models. Two linkage disequilibrium (LD) blocks were made. In the analysis of haplotypes, a haplotype (GCT) in block 1 and a haplotype (CCACAG) in block 2 showed significant associations between schizophrenia and control groups (haplotype GCT, frequency=0.509, chi square=4.199, p=0.040; haplotype CCACAG, frequency=0.289, chi square=5.691, p=0.017). The results suggest that IL31RA may be associated with risk of schizophrenia in Korean population.

Effects of Dry Roasting on the Vitamin E Content and Microstructure of Peanut (Arachis hypogaea)

  • Eitenmiller, Ronald R;Choi, Sung-Gil;Chun, Jiyeon
    • Journal of agriculture & life science
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    • v.45 no.4
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    • pp.121-133
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    • 2011
  • Effects of roasting on vitamin E content, color, microstructure and moisture of peanuts, and vitamin E content in peanut oils prepared from the roasted peanuts were investigated. Runner-type peanuts were roasted at 140, 150, and $160^{\circ}C$ for 10-20 min. As roasting temperature and time increased, the CIELAB $L^*$ value of peanuts decreased while $a^*$ and $b^*$ values increased, resulting in formation of the golden brown color of roasted peanuts. Moisture ratio (M/Mo) and color $b^*$ value of peanuts roasted at 140 to $160^{\circ}C$ showed a correlation of $b^*=21.61\;(M/Mo)^2-40.62\;(M/Mo)+34.12$ ($R^2=0.9123$). Overall changes in the tocopherol contents of peanuts and peanut oils were significantly affected by roasting temperature and time (p<0.05). Roasting at $140^{\circ}C$ caused a slight increase in the levels of tocopherols of peanuts over roasting time up to 20 min (p<0.05). There was no significant change in the tocopherol levels of peanuts during roasting at $150^{\circ}C$ for 20 min (p>0.05). At $160^{\circ}C$, the levels of tocopherols significantly decreased during the initial 10 min of roasting (p<0.05) while there was no extended loss after 10 min, resulting in about 5, 12, 20, and 10% losses of ${\alpha}$-, ${\beta}$-, ${\gamma}$- and ${\delta}$-T, respectively. After 20 min, total tocopherols decreased by 18%. However, tocopherol contents of pressed peanut oils significantly decreased at all roasting temperatures (p<0.05). After roasting peanuts at $160^{\circ}C$ for 20 min, about 84% of initial ${\alpha}$-T in peanut oils was retained. ${\alpha}$-T was the most stable to roasting while ${\gamma}$-T was the least. Swollen epidermal cells on the inner surface and broken cell walls of parenchyma tissue of peanut cotyledon were observed in peanuts after roasting at $160^{\circ}C$ for 15 min. Severe changes in microstructure of peanut by roasting would contribute to vitamin E stability because of exposure of oil droplets in peanuts to oxygen.

Physicochemical Properties of Various Blends of Peatmoss and Perlite and the Selection of Rooting Media for Different Growing Seasons (다양한 종류의 피트모스와 펄라이트 혼합에 따른 물리·화학성 변화와 계절별 육묘를 위한 상토 선발)

  • Shim, Chang Yong;Kim, Chang Hyeon;Park, In Sook;Choi, Jong Myung
    • Horticultural Science & Technology
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    • v.34 no.6
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    • pp.886-897
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    • 2016
  • The physical properties of rooting media for the establishment of plugs in a greenhouse are modified according to variations in the greenhouse environment throughout the season. In this study, we established a standard for rooting media for the production of plug seedlings for each growing season (summer, winter and spring fall). Eight types of peatmoss (PM) and 4 types of perlite (PL) commonly used in Korea were collected and blended with the ratio of 7 parts PM to 3 parts PL (v/v) to make 32 different rooting media blends. We determined the total porosity (TP), container capacity (CC), air-filled porosity (AFP), pH, and electrical conductivity (EC) of the 32 media blends, and 6 media blends were selected for seasonal use. We also conducted additional analyses for plant easily available water (EAW), buffering water (BW), cation exchange capacity (CEC), and nutrient contents in the 6 media blends. The TP, CC, and AFP of the 32 media blends ranged from 64.7 to 96.0%, 42.9 to 90.1%, and 1.3 to 27.8%, respectively, indicating that the physical properties were strongly influenced by the type of PM and PL. The pH and EC of the PMs ranged from 2.96 to 3.81 and 0.08 to $0.47dS{\cdot}m^{-1}$, respectively. However, after blending the PM with the PL the pH was raised and the EC was lowered The media blends selected for the summer growing season were Blonde Golden peatmoss (BG) + No. 1 perlite size < 1 mm (PE1) and Latagro 0-10 mm (L1) + No. 2 perlite size 1-2 mm (PE2). These two media blends had 89.8-90.9% of TP, 80.8-81.3% of CC, and 9.0-9.7% of AFP. The media blends selected for the winter growing season were Sfagnumi Turvas (ST) + PE2 and Latagro 20-40 mm (L3) + PE2. These media blends had 79.9-86.7% of TP, 60.4-74.9% of CC, and 11.8-19.6% of AFP. The TP, CC, and AFP of two media blends, BG + No.3 perlite 2-5 mm (PE3) and Orange peatmoss (O) + PE3, selected for the spring and fall growing seasons, respectively, were 85.2-87.3%, 77.9%, and 7.4-9.4%, respectively. The percentage of EAW of the media blends selected for the spring, summer, and winter growing seasons ranged from 24.2-24.9%, 22.0-28.6%, and 18.0-21.8%, respectively, but the percentages of BW were not significantly different among the selected root media blends. The pH, EC, and CEC of the 6 selected media blends ranged from 3.11-3.97, $0.06-0.26dS{\cdot}m^{-1}$, and $97-119meq{\cdot}100g^{-1}$, respectively.