Partial nitrification was researched in a SBR reactor under the limited oxygen condition(DO 0.

With the test data collected by the three-dimensional laser image scanner and total station, the three-dimensional laser scanning image combination model was figured out by the indirect adjustment model with constraint condition.

This paper discusses the various forms of equilibrium equations and the related constraint conditions for conplanar forces and space forces.

In the light of the restricted condition under control which system signal operates,the authors put forward an engineering oriented method for designing internal mold controller.

Whether the n has satisfied the restricted condition is dependent on the parameter p .

But because there are a few of restricted conditions, the process can t be finished in short time.

To solve the problem of spatial clustering in the presence of obstacles,an algorithm named spatial clustering with constraints is developed on the basis of traditional K-medoids algorithm.

The functionally correlative connected parameters being equivalent to have constraints between these make that their cofactor matrix become rank defect and its Cayley inverse P′ 2 =Q -1 ′ 2 dose not exist.

This paper, applying the constraints, derives functionally correlative unknown parameters expressed as the functions of functionally uncorrelative unknown parameters.

Meanwhile the author analyses the core of correspondence principle--transformation criteria and scientifically original spirit under the limit condition.