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1. The acceleration constraint equation is obtained based on the six DOF model of secondary joint.

2. When transferring the geometric constraint equation group into the optimization model, considering the speed and global capability, we adopt Membership Cloud Model Ant Colony Algorithm.

3. GAMS automatically generates each constraint equation, and lets the user make exceptions in cases where generality is not desired.

4. A derivation of the constraint equation a rigid body in slipless rolling in plane was given.

5. A motion constraint equation for moving target is derived by the first order geometric features.

6. Based on singularity of constraint equation and complex division of structure-parameter-space, the dimension classification method of planar mechanism was researched.

7. Constraint equation was established according to mechanical model, utilizing the analysis, solving the forward and inverse position solution,(sentencedict.com) and drawing the mechanical assembling sketch.

8. With the aid of vector method, constraint equation, kinetic energy consideration, the inverse position model, Jacobian matrix and mass matrix have been developed.

9. A novel gradient constraint equation was obtained through analyzing the error of temporal gradient.

10. The complicated loading was solved by using of constraint equation and virtual mass element.

11. The cut-off joints constraint equation is one of the most important parts in the multi-body system without tree structure program.

12. The constraint equation of the dynamic condensation matrix, which relates the deformations of the master and slave degrees of freedom, is directly derived from the original eigen equation at first.

13. A general linear brightness model was embedded in the gradient constraint equation, which improved algorithmic stability under large carving illumination.Sentencedict

14. This paper proposes an optical flow estimation method based on the flow constraint equation.

15. However, the simulation model consists of evolutionary partial differential equations, coupled with an integral constraint equation is difficult to be solved.

16. When the interval curve type of adjacent well is cylinder helical, the constraint equation of the near distance spot of adjacent well is simplified further by mathematical manipulation.

17. The geometric shape, deformation behavior description, energy equation and constraint equation of the filter is constructed.

18. The method can achieve underactuated system's feedback sliding mode control without either complex coordinate transformation for the system state model or constraint equation restrictions.

19. The simulations of lateral guidance loop applying the new equation to some missile have been carried out to verify the new ideal constraint equation, and the results are fairly satisfactory.

20. The main function of constraint management include the establishing, modification, deletion and the detection of validity of the constraint equation, etc.