The boundary points of new blank were obtained by non-uniform extension of the boundary discrete points of original blank,and then the boundary curve and the new blank surface were found by NURBS technology.

And the corresponding isometric extension theorem is an immediate consequence.

This paper studies the isometric extension of the into mapping between unit spheres of c(Γ)-spaces and gives the sufficient and necessary conditions for isometric embedding between unit spheres of c(Γ)-spaces which can be really linearly isometrically extended to the whole space.

The paper analysed the existing fatigue experimental data processing,and gave a nonequidistancegrey GM(1, 1) model and method on the fatigue experiment data processing and on-line control.

Based on the study of nonequidistance sequence, we have applied nonequidistance accumulated generating to the modeling of nonequidistance, and made the original model improved.

Based on the observation data from a construction in point and the gray theory, an unequal time-interval prediction model of recent information of identical dimension for ground settlement is established.

Based upon the building mechanism of unequal interval grey forecast model in order to weaken the changing scope of data,the method to extract the m root of accumulated sequence was used.

Unequal interval grey revised model was built based on unequal interval grey model and grey revised model,which is fit for the original series with unequal interval and sharp variations.

According to the building mechanism of gray model,a combination forecast method of unequal interval gray forecast model is presented to solve practical problems for the number sequences.