• Title/Summary/Keyword: complex summation

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ANOTHER TRANSFORMATION OF THE GENERALIZED HYPERGEOMETRIC SERIES

  • Cho, Young-Joon;Lee, Keum-Sik;Seo, Tae-Young;Choi, June-Sang
    • East Asian mathematical journal
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    • v.16 no.1
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    • pp.81-87
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    • 2000
  • Bose and Mitra obtained certain interesting tansformations of the generalized hypergeometric series by using some known summation formulas and employing suitable contour integrations in complex function theory. The authors aim at providing another transformation of the generalized hypergeometric series by making use of the technique as those of Bose and Mitra and a known summation formula, which Bose and Mitra did not use, for the Gaussian hypergeometric series.

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Analysis of control characteristics for high speed rolling guided missile with one axis steering fin (1축 날개 조종형 고속회전 유도탄의 조정 특성 해석)

  • Chin, Jong-Sok;Lee, Jae-Hyuk
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.2
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    • pp.102-107
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    • 1996
  • It is difficult to analyze the high speed rolling missile with the generally used missile body fixed coordinates. In this study, we formulate the dynamic equations of the high speed rolling missile with the principal axis of inertia, and make the analytical model of one axis steering missile using pitch/yaw symmetry and complex summation method. With this model we analyze the control characteristics and propose the design considerations of high speed rolling missile with one axis control fin using PNG law in conjuntion with a seeker signal.

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ON A NEW CLASS OF SERIES IDENTITIES

  • SHEKHAWAT, NIDHI;CHOI, JUNESANG;RATHIE, ARJUN K.;PRAKASH, OM
    • Honam Mathematical Journal
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    • v.37 no.3
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    • pp.339-352
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    • 2015
  • We aim at giving explicit expressions of $${\sum_{m,n=0}^{{\infty}}}{\frac{{\Delta}_{m+n}(-1)^nx^{m+n}}{({\rho})_m({\rho}+i)_nm!n!}$$, where i = 0, ${\pm}1$, ${\ldots}$, ${\pm}9$ and $\{{\Delta}_n\}$ is a bounded sequence of complex numbers. The main result is derived with the help of the generalized Kummer's summation theorem for the series $_2F_1$ obtained earlier by Choi. Further some special cases of the main result considered here are shown to include the results obtained earlier by Kim and Rathie and the identity due to Bailey.

A STUDY ON CALCULATION OF ILLUMINANCE DISTRIBUTION IN COMPLEX INTERIOR USING MONTE CARLO SIMULATION (몬테카를로 시뮬레이션을 적용한다면 실내공간내의 조도계산에 관한 연구)

  • Kim, H. C.;Kim, H.;Chee, C. H.
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 1992.11a
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    • pp.25-29
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    • 1992
  • In this paper, The Monte Carlo Simulation is performed in complex geometries which are composed of obstacles intercepted path of photon. Light is assumed to be particle and has particular direction and weighting value. The illuminance distribution is calculated proportional to the summation of weighting values striking area element. The result of simulation is consistent with that of experiments in a few error.

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Using Analysis of Major Color Component facial region detection algorithm for real-time image (동영상에서 얼굴의 주색상 밝기 분포를 이용한 실시간 얼굴영역 검출기법)

  • Choi, Mi-Young;Kim, Gye-Young;Choi, Hyung-Il
    • Journal of Digital Contents Society
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    • v.8 no.3
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    • pp.329-339
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    • 2007
  • In this paper we present a facial region detection algorithm for real-time image with complex background and various illumination using spatial and temporal methods. For Detecting Human region It used summation of Edge-Difference Image between continuous image sequences. Then, Detected facial candidate region is vertically divided two objected. Non facial region is reduced using Analysis of Major Color Component. Non facial region has not available Major Color Component. And then, Background is reduced using boundary information. Finally, The Facial region is detected through horizontal, vertical projection of Images. The experiments show that the proposed algorithm can detect robustly facial region with complex background various illumination images.

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Functional Relationship between the Vestibular Canals and the Extraocular Oblique Muscles (미노반규관(迷路半規管)과 외안사근(外眼斜筋)의 기능적(機能的) 관계(關係)에 관(關)하여)

  • Kim, Jeh-Hyub
    • The Korean Journal of Physiology
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    • v.6 no.2
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    • pp.49-56
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    • 1972
  • This experiment was designed to explore specific functional relationship between the vestibular canals and the extraocular oblique muscles by observing the isometric tension responeses of the muscles to the selected vestibular canal excitation. The vestibular excitation was simulated by either stimulation of the individual canal nerve or endolymphatic fluid displacement in each canal. Each canal nerve was subjected to square wave pulses with a monopolar wire electrode placed closely to the ampullary nerve endings for electrical stimulation, and a fine stainless cannula was introduced into the each canal toward the ampulla and a minute amount $(0.5{\sim}3.5\;microliter)$ of fluid was injected in or ejected out by means of a microsyringe connected to the cannula to produce ampullopetal or ampullofugal displacement of endolymphatic fluid. The superior oblique muscle was contracted by the excitation of homolateral canals and was relaxed by contralateral canals. On the contrary, the inferior oblique was contracted by the contralateral canals and was relaxed by the homolateral canals. Summation of excitatory and inhibitory canal effects from the bilateral vestibular system was demonstrable on the tension changes of the oblique muscles. Excitation of either dual or triple canals of the unilateral vestibular system also caused summation effect on the tension response of the oblique pair; thus multiple signals from the different ampullary receptors seems to be converged into the relevant ocular motor muclei. Since the superior and inferior obliques are known to receive their motor fibers from the contralateral trochlear nuclei and intermediate nuclei of the homolateral oculomotor complex respectively, the above experimental evidences indicate that the ocular motor nuclei for oblique muscles receive excitatory signals from the contralateral vestibular canals and inhibitory signals from the homolateral canals.

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OPTIMAL PERIOD SELECTION TO MINIMIZE THE END-TO-END RESPONSE TIME

  • SHIN M.;LEE W.;SUNWOO M.
    • International Journal of Automotive Technology
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    • v.6 no.1
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    • pp.71-77
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    • 2005
  • This paper presents a systematic approach which determines the optimal period to minimize performance measure subject to the schedulability constraints of a real-time control system by formulating the scheduling problem as an optimal problem. The performance measure is derived from the summation of end-to-end response times of processed I/Os scheduled by the static cyclic method. The schedulability constraint is specified in terms of allowable resource utilization. At first, a uniprocessor case is considered and then it is extended to a distributed system connected through a communication link, local-inter network, UN. This approach is applied to the design of an automotive body control system in order to validate the feasibility through a real example. By using the approach, a set of optimal periods can easily be obtained without complex and advanced methods such as branch and bound (B&B) or simulated annealing.

Collision-Free Trajectory Control for Multiple Mobile Robots in Obstacle-resident Workspace Based on Neural Optimization Networks (장애물이 있는 작업공간에서 신경최적화 회로망에 의한 다중 이동로봇트의 경로제어)

  • ;Zeungnam Bien
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.4
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    • pp.403-413
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    • 1990
  • A collision free trajectory control for multiple mobile robots in obstacle-resident workspace is proposed. The proposed method is based on the concept of neural optimization network which has been applied to such problems which are too complex to be handled by traditional analytical methods, and gives good adaptibility for unpredictable environment. In this paper, the positions of the mobile robot are taken as the variables of the neural circuit and the differential equations are derived based on the performance index which is the weighted summation of the functions of the distances between the goal and current position of each robot, between each pair of robots and between the goal and current position of each robot, between each pair of robots and between obstacles and robots. Also is studied the problem of local minimum and of detour in large radius around obstacles, which is caused by inertia of mobile robots. To show the validity of the proposed method an example is illustrated by computer simulation, in which 6 mobile robots with mass and friction traverse in a workspace with 6 obstacles.

Prediction of Drawing Load in the Shape Drawing Process (이형인발공정 하중예측에 관한 연구)

  • Lee, T.K.;Lee, C.J.;Lee, S.K.;Kim, B.M.
    • Transactions of Materials Processing
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    • v.18 no.4
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    • pp.323-328
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    • 2009
  • The prediction of drawing load is very important in the drawing process. However, it is not easy to calculate the drawing load for the shape drawing process through a theoretical model because of a complex arbitrary final cross section shape. The purpose of this study is to predict drawing load in shape drawing process. The cross section of product is divided with small angle as much as similar with fan-shape. The drawing load of each section was calculated by theoretical model of round to round drawing process. And the shape drawing load was determined by summation of drawing load of each section. The effectiveness of the proposed method was verified through the FE analysis and shape drawing experiment. It had a good agreement between proposed method, FE analysis and experiment within about 3% errors.

Predicting the Human Multi-Joint Stiffness by Utilizing EMG and ANN (인공신경망과 근전도를 이용한 인간의 관절 강성 예측)

  • Kang, Byung-Duk;Kim, Byung-Chan;Park, Shin-Suk;Kim, Hyun-Kyu
    • The Journal of Korea Robotics Society
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    • v.3 no.1
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    • pp.9-15
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    • 2008
  • Unlike robotic systems, humans excel at a variety of tasks by utilizing their intrinsic impedance, force sensation, and tactile contact clues. By examining human strategy in arm impedance control, we may be able to teach robotic manipulators human''s superior motor skills in contact tasks. This paper develops a novel method for estimating and predicting the human joint impedance using the electromyogram(EMG) signals and limb position measurements. The EMG signal is the summation of MUAPs (motor unit action potentials). Determination of the relationship between the EMG signals and joint stiffness is difficult, due to irregularities and uncertainties of the EMG signals. In this research, an artificial neural network(ANN) model was developed to model the relation between the EMG and joint stiffness. The proposed method estimates and predicts the multi joint stiffness without complex calculation and specialized apparatus. The feasibility of the developed model was confirmed by experiments and simulations.

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