• Title/Summary/Keyword: s function

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A Study on the Meaning of Shaoyangzhugu(少陽主骨) in Huangdineijing (『황제내경(黃帝內經)』의 소양주골(少陽主骨)의 의미에 대한 고찰(考察))

  • Shin, Sang-won
    • Journal of Korean Medical classics
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    • v.31 no.1
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    • pp.95-112
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    • 2018
  • Objectives : This paper tried to explain the meaning of Shaoyangzhugu in Huangdineijing. Methods : The opinions on these matters that can be found in the past studies are analyzed to assess the strengths and limitations of today's explanations on the meaning of Shaoyangzhugu. Furthermore, this study attempted to suggest a more rational way of understanding that can supplement the opinions before. Results : The opinions that fail to provide a rational explanation on Shaoyangzhugu were disposed. It was found that the explanation of Shaoyangzhugu through the Shaoyang's pivot function has a potential of providing a rational understanding of Shaoyangzhugu. Following this, this study made a deduction based on the functions of gallbladder found in the Huangdineijing and explained the Shaoyang's pivot function. This study then proceeded to provide an explanation regarding Shaoyangzhugu based on this. Conclusions : Shaoyangzhugu in Huangdineijing is a function to maintain homeostasis of the skeleton of the whole body by Shaoyang's pivot function.

NOTES ON SOME IDENTITIES INVOLVING THE RIEMANN ZETA FUNCTION

  • Lee, Hye-Rim;Ok, Bo-Myoung;Choi, June-Sang
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.165-173
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    • 2002
  • We first review Ramaswami's find Apostol's identities involving the Zeta function in a rather detailed manner. We then present corrected, or generalized formulas, or a different method of proof for some of them. We also give closed-form evaluation of some series involving the Riemann Zeta function by an integral representation of ζ(s) and Apostol's identities given here.

Novel Analysis of Waveguide Stub Structure Using Iterative Green's Function Method (반복 그린 함수 방법을 이용한 도파관 스텁 구조의 새로운 해석법)

  • Cho, Yong-Heui
    • The Journal of the Korea Contents Association
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    • v.7 no.2
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    • pp.125-131
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    • 2007
  • An iterative Green's function method (IGFM) is introduced in order to analyze complex electromagnetic waveguide stub structures in view of a university student. The IGFM utilizes a Green's function approach and an regional iteration scheme. A physical iteration mechanism with simple mathematical equations facilitates clear formulations of the IGFM. Scattering characteristics of a standard E-plane T-junction stub in a parallel-plate waveguide are theoretically investigated in terms of the IGFM. Numerical computations illustrate the characteristics of reflection and transmission powers versus frequency.

An Asymptotic Solution and the Green's Function for the Transverse Vibration of Beams with Variable Properties

  • Kim, Yong-Chul
    • Journal of Ocean Engineering and Technology
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    • v.24 no.1
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    • pp.34-38
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    • 2010
  • An analytical solution procedure for the dynamic response of beams with variable properties is developed by using an asymptotic solution and the Green's function. This asymptotic closed form solution is derived for the transverse vibration of beams under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is still found to be very accurate even in the case of large variation, such as step change in cross-section, mass, and tension. Therefore, this derived asymptotic closed form solution and the Green's function can be easily applied to find dynamic responses for various kind of beam vibration problems.

ISOPARAMETRIC FUNCTIONS IN S4n+3

  • Jee, Seo-In;Lee, Jae-Hyouk
    • The Pure and Applied Mathematics
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    • v.21 no.4
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    • pp.257-270
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    • 2014
  • In this article, we consider a homogeneous function of degree four in quaternionic vector spaces and $S^{4n+3}$ which is invariant under $S^3$ and U(n + 1)-action. We show it is an isoparametric function providing isoparametric hypersurfaces in $S^{4n+3}$ with g = 4 distinct principal curvatures and isoparametric hypersurfaces in quaternionic projective spaces with g = 5. This extends study of Nomizu on isoparametric function on complex vector spaces and complex projective spaces.

Generalized Double Fuzzy Semi-Basically Disconnected Spaces

  • Mohammed, Fatimah M.;Noorani, Mohd Salmi Md.;Ghareeb, A.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.3
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    • pp.216-221
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    • 2014
  • In this paper, we introduce the concept of generalized double fuzzy semi-basically disconnected space and related notions such as (r, s)-generalized fuzzy semiopen-$F_{\sigma}$ sets, (r, s)-generalized fuzzy semiclosed-$G_{\delta}$ sets, generalized double fuzzy $semi^*$-open function, generalized double fuzzy $semi^*$-continuous function and generalized double fuzzy $semi^*$-irresolute function. Some interesting properties and characterizations of the concepts introduced are studied.

REMARKS ON A SUMMATION FORMULA FOR THREE-VARIABLES HYPERGEOMETRIC FUNCTION $X_8$ AND CERTAIN HYPERGEOMETRIC TRANSFORMATIONS

  • Choi, June-Sang;Rathie, Arjun K.;Harsh, H.
    • East Asian mathematical journal
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    • v.25 no.4
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    • pp.481-486
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    • 2009
  • The first object of this note is to show that a summation formula due to Padmanabham for three-variables hypergeometric function $X_8$ introduced by Exton can be proved in a different (from Padmanabham's and his observation) yet, in a sense, conventional method, which has been employed in obtaining a variety of identities associated with hypergeometric series. The second purpose is to point out that one of two seemingly new hypergeometric identities due to Exton was already recorded and the other one is easily derivable from the first one. A corrected and a little more compact form of a general transform involving hypergeometric functions due to Exton is also given.

Effects of BeHaS Exercise Program on The Upper Body Function in Middle-aged Women (베하스(BeHaS)운동프로그램이 중년여성의 상지기능에 미치는 효과)

  • Kim, Ji-Hyun;Kim, Jong-Im
    • Journal of muscle and joint health
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    • v.14 no.2
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    • pp.149-157
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    • 2007
  • Purpose: The purpose of this study was to identify the effect of BeHaS exercise program on the upper body function(muscle strength, muscle endurance, flexibility) in middle-aged women. Method: Middle-aged women were recruited in the community the study was conducted from August 2005 to December 2005. Twenty-two experimental subjects were selected from P area, eighteen control subjects were selected from A area. The experimental group carried out the program two times a week for 12 weeks. Muscle strength(grip strength, pinch strength), muscle endurance (push-up), flexibility were measured. Data were analyzed with $x^2$-test, t-test, and ANCOVA using SPSS WIN 11.5. Results: 1) Left grip strength and right pinch strength of the experimental group were significant differences after the BeHaS exercise program. 2)Muscle endurance of the experimental group(t=3.14, p=0.015) was significant difference after the BeHaS exercise program. 3) Left and right flexibility showed no significant differences after the BeHaS exercise program. Conclusion: The results suggest that BeHaS exercise program would partially improve upper body function of middle-aged women. Further studies are necessary in order to determine the effects of flexibility after BeHaS exercise program.

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A Relaxed Stabilization Condition for Discrete T-S Fuzzy Model under Imperfect Premise Matching (불완전한 전반부 정합 하에서의 이산 T-S 퍼지 모델에 대한 완화된 안정화 조건)

  • Lim, Hyeon Jun;Joo, Young Hoon;Park, Jin Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.27 no.1
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    • pp.59-64
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    • 2017
  • In this paper, a controller for discrete Takagi-Sugeno(T-S) fuzzy model under imperfect premise matching is proposed. Most of previous papers have obtained the stabilization condition using common quadratic Lyapunov function. However, the stabilization condition may be conservative due to the typical disadvantage of the common quadratic Lyapunov function. Hence, in order to solve this problem, we propose the stabilization condition of discrete T-S fuzzy model using fuzzy Lyapunov function. Finally, the proposed approach is verified by the simulation experiments.

Study to Optimize the Concurrent Spare Parts of Multiple Function Weapon System using Failure-Function Matrix (고장-기능 간 관계도를 이용한 다 기능 무기체계의 동시조달수리부속 최적화 연구)

  • Kim, Kyung-Rok;Choi, Hyo-Jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.8
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    • pp.5260-5266
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    • 2015
  • To develop weapon system, Concurrent Spare Parts(CSP) is one of the important somethings in terms of Intergrated Logistics System(ILS). CSP is very important to improve the availability of weapon system, and various research about CSP are performed. However, most of the research does not consider the effects between sub-item's failure and weapon system's multiple function. In other words, if sub-item's failure does not seriously influence weapon system's specific function, the point, not necessarily to replace sub-item, is not considered. Therefore, the method to calculate CSP based on above consideration is written by failure-function matrix in this paper. The study follows the procedure below. First, it's to define the operation and maintenance procedure of weapon system. Second, failure-function matrix is developed. Third, simulation model is desinged by input data. Finally, The quantity of CSP is calculated by simulation and evolution strategy, meta-model. This study suggests new research direction to calculate CSP.