• 제목/요약/키워드: symmetric product

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Vibrational Structure and Predissociation of Ar-CO2 by CO2 Symmetric Stretching Mode Coupled with Ar Motion

  • Jung, Jae-Hoon;Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • 제23권2호
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    • pp.245-252
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    • 2002
  • The computationally simple quantum mechanical method (VSCF-DWB-IOS) has been applied to studying the Ar-$CO_2$ vibrational predissociation phenomenon. The new methodology utilizes the vibrational self-consistent field method to determine the vibrational structure of the van der Waals complex, the distorted-wave Born approximation for dissociating process, and the infinite-order sudden approximation for the continuum dissociating product of $CO_2$. The dissociation due to the coupling of the symmetric stretching vibrational motion of $CO_2$ with the motion of the Ar van der Waals mode has been extensively investigated. The lifetimes of transient excited vibrational states, linewidths of absorption peak, and the rotational state distributions of the product, $CO_2$ have been computed. It has been found that the lifetime of the Ar-$CO_2$ in excited vibrational state is very long compared with that of triatomic van der Waals complexes and the product $CO_2$ carries a major portion of dissociation energy as a rotational energy.

축대칭 단조공정에서 최종제품의 탄성회복에 관한 해석 (Determination of Elastic Recovery for Axi-Symmetric Forged Products)

  • Kim, T.H.;Kim, D.J.;Park, J.C.
    • 한국정밀공학회지
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    • 제13권9호
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    • pp.165-173
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    • 1996
  • The dimensional accuracy of a final product is mainly affected by elastic die deformation during the forging and elastic recovery after the ejection in cold forging process. The investigations on elastic recovery are not so much as those of elastic die deformation. The elastic recovery can be determined by using the elastic-plalstic finite element analysis, but, this method has some limits such as poor conver- gence and long computational time, etc. In this paper, a theoretical analysis for predicting the elastic recovery of a final product in axi-symmetric forging process by using the rigid-plastic finite element method is presented. The rigid-plastic finite element analysis of a cold forward extrusion process involving loading, ejecting process is accomplished by rigid-plastic FE code, DEFORM. The effect of elastic die deformation on the final product dimenmsion is also considered. The calculated elastic recovery is compared is compared with the analysis result of elastic-plastic FE code. ABAQUS.

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비대칭 레일강으로부터 대칭 레일강으로의 열간단조 공정설계 (Process Design for Hot Forging of Asymmetric to Symmetric Rail Steel)

  • 조해용;이기정;오병기;이학규
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 춘계학술대회 논문집
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    • pp.666-669
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    • 2002
  • Process design of hot forging, asymmetric to symmetric rail, which is used for the turnout of railway express has been investigated. Owing to the big difference in shape between the initial billet and the final forged product, it is impossible to hot forge the rail in a single step. Therefore, multi step forging as well as die design for each step are necessary for the production. The deformation behavior during hot forging has been analyzed by the numerical simulation through commercial FEA software, DEFORM$^{TM}$-2D. Modification of the design and repeated simulation have been carried out on the basis of the simulation result. For comparison with the simulation results, flow analysis experiment using plasticize has been also carried out. The results of the flow analysis experiment showed good agreement with those of the simulation. Therefore, the developed process design could be applied to the actual production.

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CONJUGATE LOCI OF 2-STEP NILPOTENT LIE GROUPS SATISFYING J2z = <Sz, z>A

  • Jang, Chang-Rim;Lee, Tae-Hoon;Park, Keun
    • 대한수학회지
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    • 제45권6호
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    • pp.1705-1723
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    • 2008
  • Let n be a 2-step nilpotent Lie algebra which has an inner product <, > and has an orthogonal decomposition $n\;=z\;{\oplus}v$ for its center z and the orthogonal complement v of z. Then Each element z of z defines a skew symmetric linear map $J_z\;:\;v\;{\longrightarrow}\;v$ given by <$J_zx$, y> = for all x, $y\;{\in}\;v$. In this paper we characterize Jacobi fields and calculate all conjugate points of a simply connected 2-step nilpotent Lie group N with its Lie algebra n satisfying $J^2_z$ = A for all $z\;{\in}\;z$, where S is a positive definite symmetric operator on z and A is a negative definite symmetric operator on v.

PEI계 플라스틱 축대칭 부품의 사출 성형에 관한 연구 (Injection Moulding of Polyetherimide Axi-Symmetric Elements)

  • 하영욱;정태형;이범재
    • 한국공작기계학회논문집
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    • 제11권6호
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    • pp.68-74
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    • 2002
  • This research covers the development of axi-symmetric plastic elements for injection molding with insert steel such as high stiffness Sabot. The functional requirements of sabot are concentricity and fracture resistance about vertical and horizontal forces. For these, an analysis of characteristics of PEI(polyetherimide) polymer is performed by standard test specimen with accordance of ASTM test guidance. Moldflow analysis and simulation of injection molding process are carried out in order not only to estimate of the warpage but also to predict the characteristics of residual stresses which both product and structure of mold may have. A new vertical side injection machine and transverse mold have been constructed. Results of the measuring concentricity and fracture test after molding of sabot are satisfied to design specification over Cp $ratio{\geq}1.33$. Finally, this technique needs more research application to others axi-symmetric elements having different radius with insert steel md structure analysis from now on.

A Note on Relationship between T-sum and T-product on LR Fuzzy Numbers

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Data and Information Science Society
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    • 제16권4호
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    • pp.1141-1145
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    • 2005
  • In this note, we show that Theorem 2.1[Kybernetika, 28(1992) 45-49], a result of a functional relationship between the membership function of LR fuzzy numbers of T-sum and T-product, remains valid for convex additive generator and concave shape functions L and R with simple proof. We also consider the case for 0-symmetric R fuzzy numbers.

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Note on Cellular Structure of Edge Colored Partition Algebras

  • Kennedy, A. Joseph;Muniasamy, G.
    • Kyungpook Mathematical Journal
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    • 제56권3호
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    • pp.669-682
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    • 2016
  • In this paper, we study the cellular structure of the G-edge colored partition algebras, when G is a finite group. Further, we classified all the irreducible representations of these algebras using their cellular structure whenever G is a finite cyclic group. Also we prove that the ${\mathbb{Z}}/r{\mathbb{Z}}$-Edge colored partition algebras are quasi-hereditary over a field of characteristic zero which contains a primitive $r^{th}$ root of unity.

GEOMETRIC INEQUALITIES FOR WARPED PRODUCTS SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS

  • Mohd Aquib;Mohd Aslam;Michel Nguiffo Boyom;Mohammad Hasan Shahid
    • 대한수학회논문집
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    • 제38권1호
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    • pp.179-193
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    • 2023
  • In this article, we derived Chen's inequality for warped product bi-slant submanifolds in generalized complex space forms using semisymmetric metric connections and discuss the equality case of the inequality. Further, we discuss non-existence of such minimal immersion. We also provide various applications of the obtained inequalities.

SOME NOTES ON NEARLY COSYMPLECTIC MANIFOLDS

  • Yildirim, Mustafa;Beyendi, Selahattin
    • 호남수학학술지
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    • 제43권3호
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    • pp.539-545
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    • 2021
  • In this paper, we study some symmetric and recurrent conditions of nearly cosymplectic manifolds. We prove that Ricci-semisymmetric and Ricci-recurrent nearly cosymplectic manifolds are Einstein and conformal flat nearly cosymplectic manifold is locally isometric to Riemannian product ℝ × N, where N is a nearly Kähler manifold.

Research Joint Ventures and Cartels in International Product R&D

  • Yang, Il-Seok
    • Journal of Korea Trade
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    • 제23권2호
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    • pp.46-58
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    • 2019
  • Purpose - This paper analyzes how Research and Development (R&D) cartelization and Research Joint Ventures (RJV) affect firms that engage in Cournot competition in their product market using a model in which the Home and Foreign firm produce differentiated products and export their total output to a third country's market. Design/Methodology - In a two-stage game, research expenditures incurred in the first stage improve product quality and are subject to various degrees of spillovers. We consider four different scenarios. Findings - In a symmetric equilibrium we observe the following: (i) an RJV that cooperates in R&D decision yields the highest R&D expenditure. However, the scenario which yields the lowest expenditure depends on the extent of differentiation between the goods and the degree of spillovers; (ii) RJV cartelization yields the highest product quality, output, and consumer surplus in the third country; however, the lowest is produced by R&D competition if spillovers are strong and by R&D cartelization if spillovers are weak; and (iii) each firm's profit is at its minimum in R&D competition and its maximum in RJV cartelization. Furthermore, if spillovers are strong, the profit of each firm in R&D cartelization is greater than that in RJV competition, and vice versa. Originality/value - By analyzing product innovation in international markets, we can find similarities and differences between process R&D and product R&D in international markets.