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Then we prove that if the initial data enter into the unstable set, then the solution of the aforementioned Cauchy problem blows up in finite time, and if the initial data enter into the stable set, then the solution of the aforementioned Cauchy problem globally exists.

其次证明了如果初值进入不稳定集，该柯西问题的解在有限时间内爆破；如果初值进入稳定集，该柯西问题的整体解存在。

And the ray tubes'initial condition (including the initial position, wave vector and power flux of each ray tube) is setup by the field distribution.

并由场分布设定每一射线波束的初始条件（其中包括每一射线波束的起始位置，它的起始波矢量和它的初始功率）。

Results There were no significant differences in BMD, initial strength and initial stiffness of vertebrae between the 2 groups.

结果 两组椎体的骨密度、原始强度和刚度之间差异无统计学意义(P.05)。

The problem of the determination of the final geometry of the single-layer reticulated shell with zero element internal force is also successfully solved by using this method. Based on the research on the shape determination theory a conclusion has been obtained: the distribution of the initial self-internal-force vector determines the initial shape of an assembly which has form finding problem.

通过对形状确定问题的研究，可得出如下的结论：体系自应力分布矢量的方向决定体系初始态几何；体系自应力分布矢量的大小只影响体系的零状态几何；体系各个单元的截面尺寸设计也将影响体系的零状态几何。

The method solves the limitation of converging to the local infinitesimal point in medical image segmentation,and adopts the initial algorithm to assure the initial searching scope of genetic algorithm which is better accommodable than standard genetic algorithm with fuzzy C-means clustering,speeding up the convergence of genetic algorithm.

该算法除了解决模糊C均值聚类算法在医学图像分割中容易陷入局部最优解的问题，而且采用的初值化算法比标准的遗传模糊C均值聚类算法能确定更合适的遗传算法的初始搜索范围，从而加速了遗传算法的收敛过程。

The results showed the effect of initial bonded width and stress distributions in the cases of adhesional and un-adhesional contact, respectively. Furthermore, the powder densification process was analyzed under the initial condition of stress distribution derived from elastic contact with adhesion.

比较了满足粘着或非粘着对结合宽度和应力分布的影响，将考虑粘着的弹性接触应力场作为初始条件，分析了弹性变形和表面扩散共同驱动的粉末冶金热压烧结致密化规律。

For any initial generalized bisymmetric matrix $X_1$, when $AXB=C$ is consistent, we can obtain the generalized bisymmetric solution of the matrix equation AXB=C within finite iterative steps by the iteration method in the absence of roundoff errors; Moreover, the least-norm solution $X^*$ can be obtained by choosing a special kind of initial generalized bisymmetric matrix.

在不考虑机器误差的情况下，当矩阵方程AXB=C相容时，对任意广义双对称X_1，矩阵方程AXB=C的解可以经过有限步迭代得到；特别地，通过选择特殊地初始广义双对称矩阵极小范数解X^*。

The results demonstrated that the fractional conversion and reaction rate were rapidly increased in the initial curing reaction. The higher the curing temperature, the higher the fractional conversion and reaction rate was. With increasing of the curing temperature and time, the fractional conversion and reaction rate decreased and became constantly. The initial curing reaction was a first order reaction. The apparent activation energy and frequency factor of curing reaction used G- capryl ester was bigger than that of used G-oligomer.

结果表明：固化体系在研究的固化温度下，转化率和反应速率在固化反应初期增加快速，温度越高增加越快，随着固化时间的延长，这种变化逐渐变慢，并最终趋于恒定；初期固化反应为一级反应，反应初期的表观活化能和指前因子大小顺序为G-预聚体＞G-辛酯。

By this iterative method ,the solvability of the matrix equation can be judged automatically.When the matrix equation is consistent ,then,for any initial centrosymmetric matrix pair ,a centrosymmetric solution pair can be obtained within finite iteration steps in the absence of roundoff errors, and the least norm centrosymmetric solution pair can be obtained by choosing a special kind of initial centrosymmetric matrix pair.

当矩阵方程相容时，对任意初始的中心对称矩阵对在没有舍入误差的情况下，经过有限步迭代，得到它的一个中心对称解，并且，通过选择一种特殊的中心对称矩阵对，得到它的最小范数中心对称解。

When the matrix equation is consistent, its centrosymmetric solution can be obtained within finite iterative steps in the absence of round off errors for any initial centrosymmetric matrix X1, and its least-norm centrosymmetric solution can be derived by choosing a suitable initial iterative matrix.

当矩阵方程AXB+CXD=F有中心对称解时，在有限的误差范围内，对任意初始中心对称矩阵X1，运用迭代算法，经过有限步可得到矩阵方程的中心对称解；选取合适的初始迭代矩阵，还可以迭代出极小范数中心对称解。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。