At first, with the low-frequency data measured, three of the LRE fault detection systems for the real-time condition are proposed using the nonlinear identification technology of the BP neural network, the state estimation technology of the dynamic neural network, and the pattern recognition technology of the fuzzy hypersphere neural network. The learning algorithms of the BP and dynamic neural network are researched at the same time. Furthermore, while the engine operation is divided into the start and steady-state processes, the real time ability, the response time, the accuracy, the robustness, the sensitivity and the monitoring parameter optimization are studied. In the test data analyses of the YF-75 engine, the detection system correctly carried out for all normal tests, and in the three abnormal tests the engine faults were accurately forecasted.

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The real-time learning ability and the fast convergence of the recurrent network model of nonlinear dynamical system have been obtained by introducing the forgetting factor in the objective function and the maximum likelihood estimation principle.

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How to improve self-controlling ability?The research findings show that it is especially important for students to enhance their subjective consciousness, and to have a right math idea, and to have opportunities of experiencing the real math activity process, and to master methods of math thinking, and improve the communication among members in"math learning community". It is the point of break-through to train students to have the consciousness and skills of self-testing, if we want to improve students'self-controlling ability.

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Constructivism advocates "a student-centeredlearning under the guidance of teachers". They agues that knowledge is not taught bythe teachers, but is acquired in a certain situation, that is, in the social and culturalbackground, through the Construction of Meanings by using the necessary materialsfor study, with the help by others (including teachers and learning partners). Theystress to create a variety of real language environments for the students, and pay muchattention to training the students actual ability of using the language. Its theory hasgreat inspiring and guiding significance in organizing teaching and compilingteaching materials.

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