• Title/Summary/Keyword: right triangle

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Aesthetics of Samjae and Inequilateral Triangle Found in Ancient Triad of Buddha Carved on Rock - Centering on Formative Characteristics of Triad of Buddha Carved on Rock in Seosan - (고대(古代) 마애삼존불(磨崖三尊佛)에서 찾는 삼재(三才)와 부등변삼각(不等邊三角)의 미학(美學) - 서산마애삼존불의 형식미를 중심으로 -)

  • Rho, Jae-Hyun;Lee, Kyu-Wan;Jang, Il-Young;Goh, Yeo-Bin
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.28 no.3
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    • pp.72-84
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    • 2010
  • This study was attempted in order to offer basic data for implementing and applying Samjonseokjo(三尊石造), which is one of traditional stone construction method, by confirming how the constructive principle is expressed such as proportional beauty, which is contained in the modeling of Triad of Buddha Carved on Rock that was formed in the period of the Three States, centering on Triad of Buddha Carved on Rock in Susan. The summarized findings are as follows. 1. As a result of analyzing size and proportion of totally 17 of Triad of Buddha Carved on Rock, the average total height in Bonjonbul(本尊佛) was 2.96m. Right Hyeopsi(右挾侍) was 2.19m. Left Hyeopsi(左挾侍) was 2.16m. The height ratio according to this was 100:75:75, thereby having shown the relationship of left-right symmetrical balance. The area ratio in left-right Hyeopsi was 13.4:13.7, thereby the two area having been evenly matched. 2. The Triad of Buddha Carved on Rock in Seosan is carved on Inam(印岩) rock after crossing over Sambulgyo bridge of the Yonghyeon valley. Left direction was measured with $S47^{\circ}E$ in an angle of direction. This is judged to target an image change and an aesthetic sense in a Buddhist statue according to direction of sunlight while blocking worshipers' dazzling. 3. As for iconic characteristics of Buddha Carved on Rock in Seosan, there is even Hyeopsi in Bangasang(半跏像) and Bongjiboju(捧持寶珠) type Bosangipsang. In the face of Samjon composition in left-right asymmetry, the unification is indicated while the same line and shape are repeated. Thus, the stably visual balance is being shown. 4. In case of Triad of Buddha Carved on Rock in Seosan, total height in Bonjonbul, left Hyeopsi, and right Hyeopsi was 2.80m, 1.66m, and 1.70m, respectively. Height ratio in left-right Hyeopsibul was 0.60:0.62, thereby having been almost equal. On the other hand, the area ratio was 28.8:25.2, thereby having shown bigger difference. The area ratio on a plane was grasped to come closer to Samjae aesthetic proportion. 5. The axial angle of centering on Gwangbae was 84:46:50, thereby having been close to right angle. On the other hand, the axial angle ratio of centering on Yeonhwajwa(蓮華坐: lotus position) was measured to be 135:25:20, thereby having shown the form of inequilateral triangle close to obtuse angle. Accordingly, the upper part and the lower part of Triad of Buddha Carved on Rock in Susan are taking the stably proportional sense in the middle of maintaining the corresponding relationship through angular proportion of inequilateral triangle in right angle and obtuse angle. 6. The distance ratio in the upper half was 0.51:0.36:0.38. On the other hand, the distance ratio in the lower half was 0.53 : 0.33 : 0.27. Thus, the up-down and left-right symmetrical balance is being formed while showing the image closer to inequilateral triangle. 7. As a result of examining relationship of Samjae-mi(三才美) targeting Triad of Buddha Carved on Rock in Susan, the angular ratio was shown to be more notable that forms the area ratio or triangular form rather than length ratio. The inequilateral triangle, which is formed centering on Gwangbae(光背) in the upper part and Yeonhwajwa(lotus position) in the lower part, is becoming very importantly internal motive of doubling the constructive beauty among Samjae, no less than the mutually height and area ratio in Samjonbul.

MAXIMAL INDUCED CYCLES IN STEINHAUS GRAPHS

  • Lim, Dae-Keun
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1123-1135
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    • 1996
  • In this paper, we introduce some properties of Steinhaus graphs of order n, and prove that the size of some special type of induced cycles in Steinhaus graphs of order n is bounded by $\left\lfloor \frac{n+3}{2} \right\rfloor$.

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Vibration analysis of defected and pristine triangular single-layer graphene nanosheets

  • Mirakhory, M.;Khatibi, M.M.;Sadeghzadeh, S.
    • Current Applied Physics
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    • v.18 no.11
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    • pp.1327-1337
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    • 2018
  • This paper investigates the vibration behavior of pristine and defected triangular graphene sheets; which has recently attracted the attention of researchers and compare these two types in natural frequencies and sensitivity. Here, the molecular dynamics method has been employed to establish a virtual laboratory for this purpose. After measuring the different parameters obtained by the molecular dynamics approach, these data have been analyzed by using the frequency domain decomposition (FDD) method, and the dominant frequencies and mode shapes of the system have been extracted. By analyzing the vibration behaviors of pristine triangular graphene sheets in four cases (right angle of 45-90-45 configuration, right angle of 60-90-30 configuration, equilateral triangle and isosceles triangle), it has been demonstrated that the natural frequencies of these sheets are higher than the natural frequency of a square sheet, with the same number of atoms, by a minimum of 7.6% and maximum of 26.6%. Therefore, for increasing the resonance range of sensors based on 2D materials, nonrectangular structures, and especially the triangular structure, can be considered as viable candidates. Although the pristine and defective equilateral triangular sheets have the highest values of resonance, the sensitivity of defective (45,90,45) triangular sheet is more than other configurations and then, defective (45,90,45) sheet is the worst choice for sensor applications.

The clinical study of Digital Infrared Thermographic Imaging on Hwa-byung(火病) patients (전신체열촬영(全身體熱撮影)에 의한 화병환자(火病患者)의 임상적(臨床的) 연구(硏究))

  • Kim Tae-Heon;Lyu Yeoung-Su
    • Journal of Oriental Neuropsychiatry
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    • v.10 no.1
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    • pp.133-146
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    • 1999
  • First I chose a patient group and a comparative group composed of 23 members each. Then the body temperature differences in these groups was taken with D.I.T.I. The results are as follows. 1. Average body temperature of the Hwa-Byung patient group is $36.6^{\circ}C$ and that of the comparative group is $36.4^{\circ}C$. So there is no meaningful body temperature difference. 2. The hwa-Byung patient group has higher temperature than the comparative group by ${\triangle}T>1.0^{\circ}C$ at the following acupunture points in these body parts upper and lower, left and right, anterior and posterior, trunk and limb. Especially, the body temperature difference was clear in the CV-17 (jun-Joong) and the GV-4(Myung-moon). 3. When the body temperature was compared in the upper and lower part of the back, it had meaningful differences at the upper and lower acupunture points of the back in the Hwa-Byung patient group but not in the comparative group. 4. When the body temperature was compared in the left and right part of the body, its average difference was ${\triangle}T>1.0^{\circ}C$ in the two groups and the result were meaningless. 5. When body temperature was compared in the anterior and posterior part of the body, its average difference was ${\triangle}T>1.0^{\circ}C$ in the two groups and the result were meaningless. 6. When body temperature was compared in the trunk and limb part of the body, its difference in the patient group was meaningful compared with the non-patient group. From the above results, I think that D.I.T.I. could be used to objectively visualize heat sensation of the Hwa-Byung patients and make an objective concept of Han Yul in oriental medicine.

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Bone Mineral Density and Affecting Factors in College Women

  • Na, Hye-Bok;Jung, Shin-Yong
    • Journal of Community Nutrition
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    • v.1 no.2
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    • pp.98-107
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    • 1999
  • The purpose of this study was to investigate Bone Mineral Density(BMD) and affecting factors on BMD of college women in Seoul. The subjects were 47 healthy college women aged 18-25 years. Antrophometric and body fat measurements were performed by Bioelectrical Impedance Fatness Analyzer(Tanita TVF 202). Blood pressure and pulse frequency were measured. Dietary intakes and general living habits were examined through questionnaires and nutrient intakes were analyzed by Computer Aided Nutritional Analysis(CAN) program for professional. Serum total cholesterol, TG(triglyceride), HDL-cholesterol, total protein, albumin, GOT, calcium were measured by Spotchem(SP-4410). Serum osteocalcin and alkaline phosphatase(ALP) were measured to monitor bone formation. BMD of lumbar spine(L2-L4), right hip(neck, ward's triangle, trochanter) and right forearm were measured by Dual Energy X-ray Absorptiometry(DEXA). Muscle strength was measured by examining leg flexion strength(right and left), leg extension power(right and left), handgrip power(right and left) and back strength. All data were statistically analyzed by the SAS PC package program. BMD of college women was normal(by WHO, 1994). Their muscle strength was bad(by national fitness guidebook, 1995). Only a mall number of them exercised (32.6% of subjects). There was no significant difference among BMD, muscle strength and % body fat(p<0.05). There were significant differences between BMD and total cholesterol as well as TG and VLDL-cholesterol(p<0.05). Total cholesterol was associated with decreasing BMD of the right forearm(p<0.05). TG and VLDL-cholesterol are associated with increasing BMD of right hip ward's triangle(p<0.05). There were significant differences among BMD, ALP and serum total protein. ALP was associated with decreasing BMD of the right forearm(p<0.05). There were significant differences between BMD and Ca as well as between Na and K intakes (p<0.05). Intakes of Na and K were associated with decreasing BMD of the right forearm (UD)(p<0.05). There were significant differences between in BMD and pulse frequently and serum albumin (p<0.05). Serum albumin is associated with increasing BMD of L3-L4(p<0.05), right hip neck(p<0.05). %Body fat, TG, VLDL-C, Ca intake, pulse frequency and serum albumin were associated with increasing BMD(p<0.05). Intakes of Na and K, ALP, total cholesterol, total cholesterol, total protein and height are associated with decreasing BMD(p<0.05). Overall results indicate that Ca intake but to be moderate in protein and Na intakes in order to increase BMD. Body exercise was recommended to increase BMD as well.

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A Study on the Axis Used for Interior Spaces of Peter Eisenman Architecture (피터아이젠만 건축의 실내 공간에 사용된 축에 관한 연구)

  • Lee, Jong-Ran
    • Journal of The Korean Digital Architecture Interior Association
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    • v.11 no.4
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    • pp.39-46
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    • 2011
  • This Study is about the Axis used for creating forms of interior spaces in representative works of Peter Eisenman architecture. The plans, elevations, photos of interior spaces of his architecture were collected and analysed. In conclusion, the methods using axises were classified in the axises crossing right angle and the rotating axises crossing right angle. The rotating axis were divided into one-angle rotating and multi-angle rotating. The axises were rotated on the plan or rotated on the elevation. The axises crossing right angle were used for dividing, assembling, transforming and composing different proportions of rectangles in interior spaces. The rotating axises crossing right angle were used for creating divers forms such as triangle, quadrilateral, and polygon. The one-angle rotating emphasizes directions of axises in interior spaces. The multi-angle rotating emphasizes decentered directions in interior spaces. The parts created while crossing axises three-dimensionally were opened or filled. The axises were used dynamically and three-dimensionally for diversity of forms in interior spaces of Peter Eisenman architecture.

TILINGS OF ORTHOGONAL POLYGONS WITH SIMILAR RECTANGLES OR TRIANGLES

  • SU ZHANJUN;DING REN
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.343-350
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    • 2005
  • In this paper we prove two results about tilings of orthogonal polygons. (1) P be an orthogonal polygon with rational vertex coordinates and let R(u) be a rectangle with side lengths u and 1. An orthogonal polygon P can be tiled with similar copies of R(u) if and only if u i algebraic and the real part of each of its conjugates is positive; (2) Laczkovich proved that if a triangle $\Delta$ tiles a rectangle then either $\Delta$ is a right triangle or the angles of $\Delta$ are rational multiples of $\pi$. We generalize the result of Laczkovich to orthogonal polygons.

Turbulence Effects on Wind-Induced Response of Rectangular Sections with Fairing (페어링부착단면의 풍응답특성에 미치는 난류효과에 관한 연구)

  • Kim Heeduck;Kim Jae-Min
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.439-442
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    • 2002
  • In this study, a turbulence simulation is carried out in a suction type wind tunnel using grids, where turbulent flows with various turbulence intensity are successfully produced by the change of grid size, arrangement of grids and settling position, respectively. Response tests of rectangular cylinder models with aspect ratio of 2 and 4 are carried out in smooth flow and generated turbulent flows. Additionally, two types of fairing are considered such as right triangle and regular triangle. The effects of wind velocity fluctuations and fairing are discussed on vortex-induced oscillation.

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Generalized Measure of Departure From Global Symmetry for Square Contingency Tables with Ordered Categories

  • Tomizawa, Sadao;Saitoh, Kayo
    • Journal of the Korean Statistical Society
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    • v.27 no.3
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    • pp.289-303
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    • 1998
  • For square contingency tables with ordered categories, Tomizawa (1995) considered two kinds of measures to represent the degree of departure from global symmetry, which means that the probability that an observation will fall in one of cells in the upper-right triangle of square table is equal to the probability that the observation falls in one of cells in the lower-left triangle of it. This paper proposes a generalization of those measures. The proposed measure is expressed by using Cressie and Read's (1984) power divergence or Patil and Taillie's (1982) diversity index. Special cases of the proposed measure include TomiBawa's measures. The proposed measure would be useful for comparing the degree of departure from global symmetry in several tables.

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Design of Drop Island to Accommodate the Turning Trajectory of Semi-Trailer (세미트레일러의 회전궤적을 고려한 물방울교통섬의 설치 방안 연구)

  • Lee, Suk-Ki;Kim, Jong-Min;Noh, Kwan-Sub;Kim, Yong-Seok
    • Journal of Korean Society of Transportation
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    • v.23 no.5 s.83
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    • pp.73-81
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    • 2005
  • Triangle-shaped island was been used for the exclusive separation between the right-turn and the through flow. However, in case that existing Triangle-Shaped Island is built at the intersection of narrow road. there are more possibilities of traffic collision trespassing into the opposite lane. Accordingly, separation of the opposite lane is required so as to prevent the intrusion of the large-sized (a heavy) vehicle into the opposite lane turning at the intersection. This study showed the comparison between intersection composed of existing Triangle-Shaped Island and the intersection with Drop Island is added. First of all, in the safety aspect, a method to decide location and shape of Drop Island considering turning trajectory of the large-sized (the heavy vehicle) is addressed. The guideline on the placement of drop island install location and method to decide form the consider heavy truck's turn trajectory in safety side. As a conclusion. we analyzed that drop island is relatively superior to existing Triangle-Shaped Island in terms of driver, ease of driving, driving pleasantness, pedestrian, widening and economic performance aspect.