• Title/Summary/Keyword: enveloping

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LIE BIALGEBRAS ARISING FROM POISSON BIALGEBRAS

  • Oh, Sei-Qwon;Cho, Eun-Hee
    • Journal of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.705-718
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    • 2010
  • It gives a method to obtain a natural Lie bialgebra from a Poisson bialgebra by an algebraic point of view. Let g be a coboundary Lie bialgebra associated to a Poission Lie group G. As an application, we obtain a Lie bialgebra from a sub-Poisson bialgebra of the restricted dual of the universal enveloping algebra U(g).

Injective JW-algebras

  • Jamjoom, Fatmah Backer
    • Kyungpook Mathematical Journal
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    • v.47 no.2
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    • pp.267-276
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    • 2007
  • Injective JW-algebras are defined and are characterized by the existence of projections of norm 1 onto them. The relationship between the injectivity of a JW-algebra and the injectivity of its universal enveloping von Neumann algebra is established. The Jordan analgue of Theorem 3 of [3] is proved, that is, a JC-algebra A is nuclear if and only if its second dual $A^{**}$ is injective.

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LIE BIALGEBRA ARISING FROM POISSON BIALGEBRA U(sp4)

  • Oh, Sei-Qwon;Hyun, Sun-Hwa
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.1
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    • pp.57-60
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    • 2008
  • Let $U(sp_4)$ be the universal enveloping algebra of the symplectic Lie algebra $sp_4$. Then the restricted dual $U(sp_4)^{\circ}$ becomes a Poisson Hopf algebra with the Sklyanin Poisson bracket determined by the standard classical r-matrix. Here we illustrate a method to obtain the Lie bialgebra from a Poisson bialgebra $U(sp_4)^{\circ}$.

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AUTOMATIC HEXAHEDRAL MESH GENERATION FOR FINITE ELEMENT SIMULATION OF METAL FORMING

  • Ryoo S. R.;Hwang S. M.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2002.04a
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    • pp.105-112
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    • 2002
  • A new grid-based approach is presented for automatic generation of hexahedral meshes for simulation of plastic deformation in metal forming. In this approach, special enveloping schemes are applied, to eradicate the sources of the degenerate elements that may appear in a generated mesh. The schemes are described in detail, along with a complete procedure for mesh generation. The capability of the approach to deal with an arbitrary, 3-D process geometry is demonstrated through application to a selected forming problem.

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Extensing of Exponentially Convex Function on the Heisenberg Group

  • Zabel, A.M.;Bajnaid, Maha A.
    • Kyungpook Mathematical Journal
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    • v.45 no.4
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    • pp.491-502
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    • 2005
  • The main purpose of this paper is to extend the exponentially convex functions which are defined and exponentially convex on a cylinderical neighborhood in the Heisenberg group. They are expanded in terms of an integral transform associated to the sub-Laplacian operator. Extension of such functions on abelian Lie group are studied in [15].

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Preservation of Exposed Breast Implant for Immediate Breast Reconstruction (보형물을 이용한 즉시 유방재건술에서 노출된 보형물의 보존)

  • Lee, Taik-Jong;Oh, Tae-Suk
    • Archives of Plastic Surgery
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    • v.37 no.1
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    • pp.26-30
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    • 2010
  • Purpose: Common complications of immediate breast reconstruction with implant are capsular contracture, malposition of implant, hematoma and seroma. Especially, the most severe complication is implant exposure caused by inflammation or necrosis of skin flap margin of mastectomy site. This article reports the experience of cases of salvage in such an exposure of implant. Methods: From July, 2002 to Feb., 2009, sixty-five patients who underwent immediate breast reconstruction with implant were retrospectively analyzed. Exposure of implant was happened in 5 of 65 patients and they were treated at out patient district. Two of five patients were reconstructed with saline implnt and all of them underwent the enveloping of the implant with AlloDerm$^{(R)}$ and Serratus muscle flap. Remaning three patients were reconstructed with silicone implant and all of them underwent the enveloping of the implant with AlloDerm$^{(R)}$. Results: In the group of patients who underwent reconstruction with saline implant, implant exposure was found in one patient due to partial necrosis of the margin of skin flap and debridement and primary repair were done. In the other one patient, dressing with antibiotic ointment were done. And debridement and primary repair were proceeded. In the group of patients who underwent reconstruction with silicone implant, implant exposure was found in one patient. After removal of the implant, tissue expansion was done and a new silicone implant was inserted. Implant exposure were found in the other two patients, antibiotics ointment application and primarily repaired. Conclusion: It was the common knowledge that the exposed implant should be removed. But salvage of the exposed implants may be possible with proper treatment. Four of five patients (80%) with exposed breast implant were salvaged with conservative management.

Dynamic Analysis of Highway Bridges by 3-D. Vehicle Model Considering Tire Enveloping (타이어 접지폭을 고려한 3차원 차량모델에 의한 도로교의 동적해석)

  • Chung, Tae Ju
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.6A
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    • pp.989-999
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    • 2006
  • In this paper, numerical analysis method to perform linear dynamic analysis of bridge considering the road surface roughness and bridge-vehicle interaction when vehicle is moving on bridge is presented. The vehicle and bridge are modeled as three-dimension where contact length of tire and pitching of tandem spring are considered and single truck with 2-axles and 3- axles, and tractor-trailer with 5-axles are modeled as 7-D.O.F., 8-D.O.F., and 14-D.O.F., respectively. Dynamic equations of vehicle are derived from the Lagrange's equation and solution of the equation is obtained by Newmark-${\beta}$ method. The surface roughness of bridge deck for this analysis is generated from power spectral density (PSD) function. Beam element for the main girder, shell element for concrete deck and rigid link between main girder and concrete deck are used. The equations of the motion of bridges are solved by mode-superposition procedures. The proposed procedure is validated by comparing the results with the experimental data by Whittemore and Fenves.

ON SUBDIRECT PRODUCT OF PRIME MODULES

  • Dehghani, Najmeh;Vedadi, Mohammad Reza
    • Communications of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.277-285
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    • 2017
  • In the various module generalizations of the concepts of prime (semiprime) for a ring, the question "when are semiprime modules subdirect product of primes?" is a serious question in this context and it is considered by earlier authors in the literature. We continue study on the above question by showing that: If R is Morita equivalent to a right pre-duo ring (e.g., if R is commutative) then weakly compressible R-modules are precisely subdirect products of prime R-modules if and only if dim(R) = 0 and R/N(R) is a semi-Artinian ring if and only if every classical semiprime module is semiprime. In this case, the class of weakly compressible R-modules is an enveloping for Mod-R. Some related conditions are also investigated.

Dexterous Manipulation from Pinching to Power Grasping-Effective strategy according to object dimensions and grasping position-

  • Hasegawa, Yasuhisa;Rukuda, Toshio;Kanada, Kensaku
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.24-27
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    • 2003
  • This paper discusses practical strategies for transition from a pinching to a power grasping, where a multi-fingered hand mounted on a robotic arm envelops a cylindrical object on a table. When the manipulation system grasps a cylindrical object like a pen on a desk, a complete enveloping is not impossible in the initial configuration. The system firstly pinches the object only with two or three fingers and then grasp it with fingers and a palm after regrasping. In this pinching-grasping transition maneuver, human unconsciously selects proper strategy according to some conditions including object dimensions and initial pinching positions. In this paper we therefore develop six possible strategies for this pinching-grasping transition and then investigate their performances for some objects with various dimensions and various grasping positions, using numerical simulations. Based on their results, effective strategies are implemented by using a hand-arm system.

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Transient Dynamic Analysis of a Patterned Tire Rolling over a Cleat with an Explicit Finite Element Program (외연적 유한요소법을 이용한 패턴 타이어에 대한 돌기물 통과시의 동적 특성 해석)

  • 김기운;정현성;범현규
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.6
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    • pp.164-170
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    • 2003
  • The finite element analysis of tires has been conventionally performed by either neglecting tread pattern or modeling only circumferential grooves. Besides, the tire analysis has been mainly limited to static or steady state rolling analysis. In this paper, a transient dynamic analysis of a patterned tire rolling over a cleat with an explicit finite element program is presented. The patterned tire with detailed tread blocks is modeled by a systematic mesh generation procedure, in which tire body and tread pattern meshes are separately generated in the beginning and then both meshes are combined by the tie constraint method. The cleat impact analysis is conducted by using both the patterned tire and the smooth tire models to predict the cleat enveloping characteristics. It is seen that the analysis results of the patterned tire model are in a good agreement with the experimental results.