• Title/Summary/Keyword: Inside radius

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THE PROBABILITY DISTRIBUTION AND ITS SIMULATION ACTIVITY OF A TRIANGLE RANDOMLY DRAWN IN A CIRCLE WITH RADIUS r

  • Kim, G. Daniel;Kim, Sung Sook
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.1
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    • pp.87-94
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    • 2002
  • Trot(1999) considered how to calculate the expected area of a random triangle in the unit square $[0,1]{\times}[0,1]$. He used the Mathematica software package for the computational part. In this article, we study various aspects of the probability distribution of a triangle randomly chosen inside the circle of radius r. A simulation activity that can be conducted in statistics and probability classrooms is also considered.

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Characteristics of Efficient Radius of Meteorological Observation Data to Estimate Regional Wind Energy (국지규모 풍력에너지 평가를 위한 기상 관측 자료의 영향 반경 특성)

  • Lee, Soon-Hwan;Kim, Min-Jung;Lee, Hwa-Woon
    • Journal of Korean Society for Atmospheric Environment
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    • v.23 no.5
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    • pp.585-595
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    • 2007
  • Representative impacts and effectiveness of surface meteorological observation data assimilation were examined in order to use wind resources estimation around southern coastal area of the Korean Peninsula. The data used in study are observational wind and temperature data at 5 and 41 sites of Regional Meteorological Offices and Automatical Weather Systems, respectively. Observation wind speed data tends to show small effective radius with limited area. Especially assimilation impacts of data observed at peninsula type sites like Yeosu play only around the inside of the peninsula. This limited effective radius for wind speed is caused by the strong correlation between topography and wind speed. And the efficient radius for surface air temperature is larger than that of wind. Data assimilation for observational air temperature is useful to increase the accuracy of wind energy estimation. However assimilation of wind data requires special care in its application due to high sensitivity of topographical complexity.

The influence of the radius of curvature on water desalination across the nanoporous penta-graphene

  • Ebrahimi, Sadollah
    • Membrane and Water Treatment
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    • v.8 no.6
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    • pp.553-562
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    • 2017
  • In the present study, the water desalination across the penta-graphene has been explored by using molecular dynamics simulation. The penta-graphene, a new carbon allotrope, introduced theoretically in 2015. It was shown that this carbon nanostructure is slightly stiffer against buckling in comparison with the graphene nanoribbons. The effect of radius of curvature (ROC) of the membrane, pore size, and applied pressure, on water flow rate, and salt rejection is investigated. It is shown that salt rejection, and the shape of the oxygen density distribution inside the pore can be influenced by the ROC of membrane. Finally, it is shown that the ROC, and pore size of 2D membranes, play an important role in the salt rejection.

Finite Element Analysis of Axisymmetric Hydrostatic Bulging (축대칭 정수압 벌징의 유한요소 해석)

  • Baek, Nam-Ju;Kang, Dae-Min
    • Journal of the Korean Society for Precision Engineering
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    • v.1 no.3
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    • pp.71-84
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    • 1984
  • This paper examined strain distribution and radius of curvature of the bulge by finite element method and investigated limit polar thickness strain to predict the formability of sheet metal as we substituted effective strain and the radius of curvature obtained by FEM into instability condition equation successively. In experiment, the radius of curvature and limit polar thickness strainwere obtained by Moire method. Also, a concent- ric set of photogrid circles was used to measure the strain of arbitrary point and mild steel was used as material. This results obtained are as follows: 1) The radius of curvature obtained by FEM is in good agreement with the Moire experimental value. 2) The polar thickness strain is getting larger as the inside is approached from the edge. This means that fracture occurred near the ploe. 3) The circumferential strains agree closely with the meridian strains and the polar thickness strain is about twice the circumferential (or meridian) strain. This result agrees with the fact that anisotropy coefficient (R-value) obtained by tensile test is about one. 4) The theoretical results of limit polar thickness strain obtained by authors' method are better agreement with experimental results than other theoretical results. Therefore, we can better predict the formability of sheet metal with authors' method.

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Investigation on backscatter According to Changed in Components of Linear Accelerator Using Monte Carlo Simulation (몬테카를로 시뮬레이션을 이용한 선형가속기 구성요소 변화에 따른 후방산란에 관한 연구)

  • Kim, Hwein;Chon, Kwonsu
    • Journal of the Korean Society of Radiology
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    • v.9 no.4
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    • pp.239-247
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    • 2015
  • It should be accurate dose calculation to increase the efficiency of radiation therapy, and it is priority to figure out the beam characteristics for this purpose. The target and primary collimator in head components of the linear accelerator have the greatest influence on determining the beam characteristics which is caused by backscatter and it is the factor to consider the shielding structures and equipment management. In this study, we made modeling of the linear accelerator through the Geant4 Monte Carlo simulation and investigated backscatter according to the change of the size and shape in head components. For the scattered electrons, it showed the greatest number of distributions inside of the inner radius at primary collimator. But, for the scattered photons which have the high energy, it was mostly located outside of the inner radius at primary collimator. Scattered positrons showed a small occurrence in about 0.03%. According to the change of the inner radius at primary collimator, it was great changes in the inside of inner radius for all three scattered particles. According to the change of the outer radius at primary collimator, it was shown some considerable effects from more than 60 mm outer radius. It was no significant effect according to the change of target thickness. In this study, we found that backscatter should be considered, and figured out that geometric size and shape of the peripheral components are the factors that influences the backscatter effect.

Effect of End-taping Treatments on Prevention of Drying Defects during Radio-Frequency/Vacuum Drying of Domestic Yellow Poplar Log Cross Section (엔드테이핑 처리들이 백합나무 원반의 고주파진공건조 중 건조결함 예방에 미치는 영향)

  • LEE, Nam-Ho;ZHAO, Xue-Feng;Chang, Sae-Hwan;SHIN, Ik-Hyun
    • Journal of the Korean Wood Science and Technology
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    • v.36 no.6
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    • pp.59-68
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    • 2008
  • This study was carried out to investigate the effects of the Inside end-taping (Inside-ET) and Outside end-taping (Outside-ET) treatments on prevention of drying defects during radiofrequency/vacuum (RF/V) drying domestic yellow poplar log cross section with size of 20~75 mm in thickness and 120~470 mm in diameter. The treatments of Inside-ET and Outside-ET were quite effective for producing sound log cross sections with thinner than 33 mm and smaller than 270 mm in diameter. Even the 60 mm- and 75 mm-thick log cross sections, if the diameter was smaller than 30 cm, it might expect preventing formation of border checks by appropriate end-taping treatments. The positions of the observed border checks differed in diameter ranging at a relative radius about 0.50~0.63 diameter, and it was estimated that it was necessary to select the border position of end-taping treatment properly according to the diameter of log cross sections. It was observed that the radius of 0.3 diameter was the critical location for pretreatment for preventing formation of border checks in the log cross section with middle diameter. There were severe border checks and V-shaped cracks in the log cross section with large diameter. This was because of the severe variation of moisture content along radial direction of natural characteristic of domestic yellow poplar.

Effect of Surface Treatment on Articulation Index for Vehicles (흡음재 처리를 통한 차실내부 음의 명료도 향상에 관한 연구)

  • 이정규;김정태
    • Journal of KSNVE
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    • v.10 no.2
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    • pp.240-246
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    • 2000
  • One of the widely accepted methods for evaluating the interior sound quality of automobiles is Articulation Index(AI). The AI actually measures the articulation level of the sound in the vehicle cabin as passengers talk to one another. In this study, the effect of two different absorption materials inside the cabin on AI has been investigated by ray-tracing method : one is firewall, the other is celling. It turns out that the back seat location is found to be strongly dependent on the type of absorption materials treated at the celling, since the sound absorbing area is different due to the location and the firewall is situated in the "Reverberation Radius". The proposed methdo could be used to improve the sound quality of automobiles at the design stge.sign stge.

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A Study on Structural Safety of the Solid Fuel Grain by Hot Flow inside a Hybrid Rocket Combustor (Multi-port 하이브리드 로켓 연소기에서 고온 산화제 유동에 의한 고체연료의 구조적 안전성에 대한 연구)

  • Do, Gyu-Sung;Yoon, Chang-Jin;Kim, Jin-Kon;Moon, Hee-Jang
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.15 no.4
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    • pp.38-44
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    • 2007
  • This paper describes the structural safety of solid fuel in the Hybrid Rocket Motor (HRM). Hybrid rocket combustion has the distinct regression characteristics which include the process of thermal pyrolysis and fuel vaporization. Most of all, this regression characteristics would structurally affect the strength of the fuel having a multi-port configuration, and even may cause the breaking from the fuel grain. This problem would probably influence the performance and operating safety of HRM. Therefore, for the safe operation of HRM, the critical port radius which determines the structurally safe region was discussed from the heat analysis of the solid fuel.

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Bubble Behavior and Radiation for Laser-Induced Collapsing Bubble in Water (물 속에서 레이저에 의하여 생성된 기포의 거동 및 복사현상)

  • Karng, Sarng-Woo;Byun, Ki-Taek;Kwak, Ho-Young
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1282-1287
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    • 2004
  • The bubble behavior and the radiation mechanism from a laser-induced collapsing bubble were investigated theoretically using the Keller-Miksis equation for the bubble wall motion and analytical solutions for the vapor inside bubble. The calculated time dependent bubble radius is in good agreement with observed ones. The half-width of the luminescence pulse at the collapse point, which was calculated under assumption that the light emission mechanism is black body radiation from the vapor bubble agreed well with observed value of several nanoseconds. The gas content inside the vapor bubble was too small to produce the light emission due to bremsstrahlung.

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A New Comb Circular Polarizer Suitable for Millimeter-Band Application

  • Eom, Soon-Young;Korchemkin, Y.B.
    • ETRI Journal
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    • v.28 no.5
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    • pp.656-659
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    • 2006
  • This letter presents a new polarizer which has a simple comb structure inside a circular waveguide. The electrical performance of the proposed comb polarizer is optimized by a circular waveguide radius and by the physical parameters of the comb plates. This polarizer is suitable for providing good performance in millimeter-band application because of its simple structure and low fabrication cost. In our experiments the dual-band comb polarizer designed in band 1(K) and band 2(Ka) showed good electrical performance without any tuning elements.

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