• Title/Summary/Keyword: Ideal Point

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IDEAL RIGHT-ANGLED PENTAGONS IN HYPERBOLIC 4-SPACE

  • Kim, Youngju;Tan, Ser Peow
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.1131-1158
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    • 2019
  • An ideal right-angled pentagon in hyperbolic 4-space ${\mathbb{H}}^4$ is a sequence of oriented geodesics ($L_1,{\ldots},L_5$) such that $L_i$ intersects $L_{i+1},i=1,{\ldots},4$, perpendicularly in ${\mathbb{H}}^4$ and the initial point of $L_1$ coincides with the endpoint of $L_5$ in the boundary at infinity ${\partial}{\mathbb{H}}^4$. We study the geometry of such pentagons and the various possible augmentations and prove identities for the associated quaternion half side lengths as well as other geometrically defined invariants of the configurations. As applications we look at two-generator groups ${\langle}A,B{\rangle}$ of isometries acting on hyperbolic 4-space such that A is parabolic, while B and AB are loxodromic.

IDEAL RIGHT-ANGLED PENTAGONS IN HYPERBOLIC 4-SPACE

  • Kim, Youngju;Tan, Ser Peow
    • Journal of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.595-622
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    • 2019
  • An ideal right-angled pentagon in hyperbolic 4-space ${\mathbb{H}}^4$ is a sequence of oriented geodesics ($L_1,{\ldots},L_5$) such that Li intersects $L_{i+1},\;i=1,\;{\ldots},\;4$, perpendicularly in ${\mathbb{H}}^4$ and the initial point of $L_1$ coincides with the endpoint of $L_5$ in the boundary at infinity ${\partial}{\mathbb{H}}^4$. We study the geometry of such pentagons and the various possible augmentations and prove identities for the associated quaternion half side lengths as well as other geometrically defined invariants of the configurations. As applications we look at two-generator groups ${\langle}A,B{\rangle}$ of isometries acting on hyperbolic 4-space such that A is parabolic, while B and AB are loxodromic.

A Study on the Three Dimensional Statistical Turbulent Flow Characteristics Around a Small-Sized Axial Fan for Refrigerator (냉장고용 소형 축류홴의 통계학적 3차원 난류유동 특성에 관한 연구)

  • Kim, Jang-Gwon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.6
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    • pp.819-828
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    • 2001
  • The operating point of a small-sized axial fan is strongly dependent upon the system resistance. Therefore, the turbulent flow characteristics around a small-sized axial fan may change significantly according to the operating point. This study represents three-dimensional turbulent flow characteristics around a small-sized axial fan measured at the ideal design point $\phi$=0.25, which is equivalent to the maximum total efficiency point, by using three dimensional fiber-optic type LDA system. This LDA system is composed of a 5 W Argon-ion laser, two optics in back-scatter mode, three BSAs, a PC, and a three-dimensional automatic traversing system. A kind of paraffin fluid is used to supply particles by means of fog generator. Mean velocity profiles downstream of a small-sized axial fan along the radial distance show that the streamwise and the tangential components exist in a predominant manner, while the radial component has a small scale distribution and shows the inflection which its flow direction is inward or outward. Moreover, the turbulent intensity profiles show that the radial component exists the most greatly among turbulent energies.

Real-time data transmission through congestion control based on optimal AQM in high-speed network environment (고속 네트워크 환경에서 최적AQM기반의 혼잡제어를 통한 실시간 데이터 전송)

  • Hwang, Seong-Kyu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.7
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    • pp.923-929
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    • 2021
  • TCP communication and packet communication require transmission control technology to ensure high quality and high reliability. However, in the case of real-time data transmission, an inefficient transmission problem occurs. In order to overcome this problem and transmit the packet reliability, in general, early congestion control using the buffer level as an index was used. Control of the congestion control point and the cancellation point is delayed because the point at which congestion is controlled is based on the buffer level. Therefore, in this paper, not only the buffer level indicator, but also the ideal buffer level, which determines the packet discard probability, is classified so that the transmission rate and buffer level that measure network congestion are close to the level above the optimal setting. As a result, it was shown that the average buffer level can be directly controlled by maintaining the average buffer level by the ideal buffer level set in the experiment to prove the proposed method.

A Study about Performance Improvement of Return Link Demodulator for Satellite Communication (위성 통신용 리턴 링크 복조기의 성능 개선에 관한 연구)

  • Wang, Do-Huy;Oh, Deock-Gil
    • Journal of Satellite, Information and Communications
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    • v.7 no.1
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    • pp.92-96
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    • 2012
  • This paper presents return link demodulation algorithm designed for hardware implementation using HDL that include complex signal processing work reliably even in low SNR. Simulation results show that performance of Es/$N_0$ has improved within 0.5dB at the point of uncoded BER $10^{-3}$ compared to the ideal QPSK signal. In addition, fixed-point simulation and HDL implementation performance compared to the simulation we can see that there is no difference.

Effects of Meteorological Conditions on Cloud and Snowfall Simulations in the Yeongdong Region: A Case Study Based on Ideal Experiments (영동지역 기상조건이 구름 및 강설 모의에 미치는 영향: 이상 실험 기반의 사례 연구)

  • Kim, Yoo-Jun;Ahn, Bo-Yeong;Kim, Baek-Jo;Kim, Seungbum
    • Atmosphere
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    • v.31 no.4
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    • pp.445-459
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    • 2021
  • This study uses a cloud-resolving storm simulator (CReSS) to understand the individual effect of determinant meteorological factors on snowfall characteristics in the Yeongdong region based on the rawinsonde soundings for two snowfall cases that occurred on 23 February (Episode 1) and 13 December (Episode 2) 2016; one has a single-layered cloud and the other has two-layered cloud structure. The observed cloud and precipitation (snow crystal) features were well represented by a CReSS model. The first ideal experiment with a decrease in low-level temperature for Episode 1 indicates that total precipitation amount was decreased by 19% (26~27% in graupel and 53~67% in snow) compared with the control experiment. In the ideal experiment that the upper-level wind direction was changed from westerly to easterly, although total precipitation was decreased for Episode 1, precipitation was intensified over the southwestern side (specifically in terrain experiment) of the sounding point (128.855°E, 37.805°N). In contrast, the precipitation for Episode 2 was increased by 2.3 times greater than the control experiment under terrain condition. The experimental results imply that the low-level temperature and upper-level dynamics could change the location and characteristics of precipitation in the Yeongdong region. However, the difference in precipitation between the single-layered experiment and control (two-layered) experiment for Episode 2 was negligible to attribute it to the effect of upper-level cloud. The current results could be used for the development of guidance of snowfall forecast in this region.

The Relationship Between the Food Habit and the Health Responses to the Todai Health Index (식습관(食習慣)과 건강상태(健康狀態)와의 관계성(關係性)에 관(關)한 연구(硏究))

  • Lim, Hyeon-Sook
    • Journal of Nutrition and Health
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    • v.14 no.1
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    • pp.9-15
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    • 1981
  • This study was undertaken to investigate the relationship between the food habit and the health status. For this Purpose, 709 junior and senior high school teachers were studied by the questionnaire sheets; one was for the food habit and the other was for health complaints. (the standarized questionnaire designated Todai Health Index.) The results obtained were as follows, 1) Mean score of the food habit was 10.99 in males and 12.17 in females. The balanced dietary intake was associated with the ideal body weight. 2) In males and females with low food habit score than in those with high food habit score, THI point in sufferings, digestive organs, straight-forwardness, depression and life irregularity were higher. In males with low food habit score, THI point in nervousness was higher. In females with low food habit score, THI point in respiratory organs was higher. On the contrary the male subjects with high food habit score showed higher THI point in vanity and the female subjects with high feed habit score shewed higher THI point in vanity and nervousness. 3) Persons living alone showed a high tendency to eating away from home and to having low score of food habit. 4) Persons with low food habit score showed a high tendency to eating instant foods and considered themselves having poor health status.

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Development of Ideal Model Based Optimization Procedure with Heuristic Knowledge (정위적 방사선 수술에서의 이상표적모델과 경험적 지식을 활용한 수술계획 최적화 방법 개발)

  • 오승종;송주영;최경식;김문찬;이태규;서태석
    • Progress in Medical Physics
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    • v.15 no.2
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    • pp.84-93
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    • 2004
  • Stereotactic radiosurgery (SRS) is a technique that delivers a high dose to a target legion and a low dose to a critical organ through only one or a few irradiations. For this purpose, many mathematical methods for optimization have been proposed. There are some limitations to using these methods: the long calculation time and difficulty in finding a unique solution due to different tumor shapes. In this study, many clinical target shapes were examined to find a typical pattern of tumor shapes from which some possible ideal geometrical shapes, such as spheres, cylinders, cones or a combination, are assumed to approximate real tumor shapes. Using the arrangement of multiple isocenters, optimum variables, such as isocenter positions or collimator size, were determined. A database was formed from these results. The optimization procedure consisted of the following steps: Any shape of tumor was first assumed to an ideal model through a geometry comparison algorithm, then optimum variables for ideal geometry chosen from the predetermined database, followed by a final adjustment of the optimum parameters using the real tumor shape. Although the result of applying the database to other patients was not superior to the result of optimization in each case, it can be acceptable as a plan starling point.

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Development of camera modeling and calibration technique with geometric distortion (기하학적 왜곡을 고려한 카메라 모델링 및 보정기법 개발)

  • 한성현;이만형;장영희
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1836-1839
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    • 1997
  • This paper presents machine vision technique with a camera modeling that accounts for major sources of camera distortion, namely, radial, decentering, and thin prism distortion. Radial distortion causes an inward or outward displacement of a given image point from its ideal location. Actual optical systems are subject to various degrees of decentering, that is, the optical centers of lens elements are not strictly collinear. It is our purpose to develop the vision system for the pattern recognition and the automatic test of parts and to apply the line of manufacturing.

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A Study on Machine Vision System and Camera Modeling with Geometric Distortion

  • 왕한흥;한성현
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.179-185
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    • 1997
  • This paper presents machine vision technique with a camera modeling that accounts for major sources of camera distortion, namely,radial, decentering, and thin prism distortion. Radial distortion causes an inward or outward displacement of a given image point from its ideal location. Actual optical systems are subject to varios degrees of decentering,that is,the optical centers of lens elements are not strictly collinear. Thin prism distortion arises form imperfection in lens design and manufacturing as well as camera assembly. It is our purpose to develop the vision system for the pattern recognition and the automatic test of and to apply the line of part manufacturing.