• Title/Summary/Keyword: Relationship formula

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VOLUME OF GRAPH POLYTOPES FOR THE PATH-STAR TYPE GRAPHS

  • Ju, Hyeong-Kwan;Seo, Soo-Jeong
    • Honam Mathematical Journal
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    • v.38 no.1
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    • pp.71-84
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    • 2016
  • The aim of this work is to compute the volume of the graph polytope associated with various type of finite simple graphs composed of paths and stars. Recurrence relations are obtained using the recursive volume formula (RVF) which was introduced in Lee and Ju ([3]). We also discussed the relationship between the volume of the graph polytopes and the number of linear extensions of the associated posets for given bipartite graphs.

TRIPLE AND FIFTH PRODUCT OF DIVISOR FUNCTIONS AND TREE MODEL

  • KIM, DAEYEOUL;CHEONG, CHEOLJO;PARK, HWASIN
    • Journal of applied mathematics & informatics
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    • v.34 no.1_2
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    • pp.145-156
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    • 2016
  • It is known that certain convolution sums can be expressed as a combination of divisor functions and Bernoulli formula. In this article, we consider relationship between fifth-order combinatoric convolution sums of divisor functions and Bernoulli polynomials. As applications of these identities, we give a concrete interpretation in terms of the procedural modeling method.

A Study on Early Evaluation Method of Durability of PC Concrete According to the Accelerated Curing Conditions (촉진양생조건에 따른 PC콘크리트의 내구성 조기 평가기법 연구)

  • 김관호;박광수;신수균;이준구;장문기
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.169-174
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    • 2002
  • We can consider that the study on early evaluation of compressive strength and durability of concrete is useful to raise safety of quality control of concrete. In this paper, was proposed to method early to predict strength and durability of concrete with parameter, such as Water/cement(W/C) ratio and steam curing conditions. Through analyzing the relationship between the compressive strength and the amount of chloride penetration into concrete specimens, a new formula early estimating durability of the concrete structure was suggested.

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A Study on the Inelastic Buckling Behavior of Welded Thin-Walled Sections (용접박판형강의 비탄성 좌굴 거동에 대한 연구)

  • 이상우;권영봉
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.11-18
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    • 1996
  • Inelastic buckling stress of Welded Thin-Walled Steel Sections was investigated by - using Spline Finite Strip Method. Several types of membrane residual stress and nonlinear stress-strain relationship were considered to produce reasonable fits to test results. A simple formula for the inelastic local buckling stress of welded sections was also proposed and compared with Korean Standard Specifications for Highway Bridges.

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Correlation of Intuitionistic Fuzzy Sets

  • Son, Mi-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.4
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    • pp.546-549
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    • 2007
  • When we deal with crisp data, it is common to find the correlation between variables. In this paper, we propose a method to calculate the correlation coefficient for intuitionistic fuzzy data, by adopting the concepts from the conventional statistics. The value of the correlation coefficient computed from our formula not only provides us the strength of the relationship of intuitionistic fuzzy sets, but also shows that the intuitionistic fuzzy sets are positively or negatively related.

An efficient method for the compressive behavior of FRP-confined concrete cylinders

  • Fan, Xinglang;Wu, Zhimin;Wu, Yufei;Zheng, Jianjun
    • Computers and Concrete
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    • v.12 no.4
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    • pp.499-518
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    • 2013
  • Fiber reinforced polymer (FRP) jackets have been widely used as an effective tool for the strengthening and rehabilitation of concrete structures, especially damaged concrete columns. Therefore, a clear understanding of the compressive behavior of FRP-confined concrete is essential. The objective of this paper is to develop a simple efficient method for predicting the compressive strength, the axial strain at the peak stress, and the stress-strain relationship of FRP-confined concrete. In this method, a compressive strength model is established based on Jefferson's failure surface. With the proposed strength model, the strength of FRP-confined concrete can be estimated more precisely. The axial strain at the peak stress is then evaluated using a damage-based formula. Finally, a modified stress-strain relationship is derived based on Lam and Teng's model. The validity of the proposed compressive strength and strain models and the modified stress-strain relationship is verified with a wide range of experimental results collected from the research literature and obtained from the self-conducted test. It can be concluded that, as a competitive alternative, the proposed method can be used to predict the compressive behavior of FRP-confined concrete with reasonable accuracy.

A Study on the Clinical Application of the Exterior-Interior Relationship Between the Heart and Small Intestine -Focusing on Prescriptions for Urine Disorders- (심소장(心小腸) 표리(表裏) 관계의 임상 적용에 대한 고찰 -소변이상 관련 처방을 중심으로-)

  • Ahn, Jinhee
    • Journal of Korean Medical classics
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    • v.33 no.3
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    • pp.1-19
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    • 2020
  • Objectives : The aim of this paper is to examine texts that deal with the clinical application of the exterior-interior relationship between the Heart and Small Intestine. Methods : Texts that apply the Heart and Small Intestine relationship to treating urine disorders were selected and analyzed. Results : The relevance of the Heart-SI relationship to urine disorders was first discussed in the 『Zhubingyuanhoulun(諸病源候論)』, and the theory was finally applied to clinical treatment of urine disorders in the 『Waitaimiyao(外臺秘要)』. Text analysis revealed that Daochisan of the 『Yujiweiyi(玉機微義)』, Daochisan of the 『Yizongjinjian(醫宗金鑑)』, HupoDaochitang of the 『Yichunshengyi(醫醇賸義)』, and Daochiyinjiaweifang of the 『Xuezhenglun(血證論)』 were of Daochisan affiliation, while those that were not of this affiliation were Gandihuangwan of the 『Waitaimiyao(外臺秘要)』, Xijiaotang of the 『Shengjizonglu(聖濟總錄)』 and 『Pujifang(普濟方)』, Rushensan and Xijiaodihuangtang of the 『Qixiaoliangfang(奇效良方)』, and Liangxinlishuitang of the 『Bianzhenglu(辨證錄)』, indicating that the formulas used for treatment were mostly affiliated with Daochisan. When clinically applying the exterior-interior relationship of the Heart and SI to urine disorders, the phenomenon can be most closely matched to the biomedical concept of Overactive Bladder. Discussion : Based on the finding that the formula following the exterior-interior relationship of the Heart and SI was first mentioned in 『Waitaimiyao(外臺秘要)』 published in 752, and was continuously mentioned in the 『Xuezhenglun(血證論)』 which was published in 1884, it is highly probable that the exterior-interior relationship theory of the Heart and SI and its clinical application closely influenced each other.

Evaluation of $J_k$ integral for a plane crack in a rectilinear anisotropic body (선형 이방성 평면 균열에서의 $J_k$ 계산)

  • 안득만
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1792-1798
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    • 1991
  • In this paper the path independent $J_{k}$(k=1, 2) integrals are evaluated in a rectilinear anisotropic body for two dimensional case. The relationship among elastic constants are examined. Using those relationship the expression of $J_{2}$ Integral in terms of $K_{I}$ is found to be very simple.e.e.

Relationship between the Initial Clamping Force and the Sliding Distance of the Rail Clamp according to the Wedge Angle (쐐기각에 따른 레일클램프의 초기 압착력과 밀림거리 사이의 관계)

  • Han D.S.;Lee S.W.;Kwon S.K.;Han G.J.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.379-380
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    • 2006
  • In this study we dealt with the relationship between the initial clamping force and the sliding distance in the wedge type rail clamp. The sliding distance is determined by the wedge angle and the initial clamping force. In order to derive the relation formula between the wedge angle and the sliding distance, we ad opt 5-kinds of the wedge angle, such as 2, 4, 6, 8, $10^{\circ}$. And then we analyze the effect of the initial clamping force on the sliding distance.

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