A simple form of the unstable manifold s for the fixed points not being on the boundary;2. Aim To study singular points, closed orbits, stable manifolds and unstable manifold s of a second order autonomous Birkhoff system.

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Within differential geometry are the concepts of fiber bundles and calculus on manifolds , in particular, vector and tensor calculus .

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A tetrahedral mesh of approximately 3.1 million cells was used, with cells concentrated around the fuel manifolds.

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In this dissertation, we focus on the incompressible surface obtained from theamalgamation of two 3-manifolds with torus boundaries and obtained some good results.

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The chapter 2 is the main part of this paper,we discussed the Donaldsoninvariants of 4—manifolds 〓,combing with the results given inchapter 1 and using the techniques of standard dimension counting,transversality etc.of S.K.Donaldson.

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These parameters are important for the design of adsorbent structures, the manifolds and the columns.

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This paper analyzes the principle of the LP-LFC process,presents the physical and mathematical models of mould filling of the new process. The patterns including window-plate, ladders cluster, electromotor frame and exhausting manifolds are poured using LP-LFC process with AZ91D alloy, and the mould filling course is tracked with electrode touch point method. Based on above tests and experiments,the casting defects including short runs, cold laps, trapped gas,metal penetration, and so on, were investigated. The appearance characteristics,birth causes and influence factors of above defects are discussed in the article,diagrammatize modes of the defects forming is also given, and the measures of reducing or avoiding defects are put forward.

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Large amounts of piping are to be seen on the deck running from the pump rooms to the discharge manifolds positioned an midships,port and starboard.

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Large amounts of piping are to be seen on the deck running from the pump rooms to the discharge manifolds positioned an midships,port and starboard.

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We establish the analytic foundation of quaternionic contact manifolds.

證明中實際上蘊涵了Szego核的漸近展開。