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The IBC and the bound ar y integral equation are transformed into the third boundary condition, then the functional of the boundary value problem is obtained.

将 IBC和腔体口面边界积分方程分别转化为第三类边界条件形式，从而导出边值问题的相应泛函。

It is proved that any n-dimensional(n≥4)compact manifold with totally geodesic boundary which satisfies a pinching condition can be deformed to a space form with totally geodesic boundary.

证明了对于任意一个具有全测地边界的n维紧致流形(n≥4)满足一定的拼挤条件可以形变为具有全测地边界的空间形式。

The existence of solutions for two-point boundary value problem subject to nonlinear second order differential equation with mixed boundary conditions is studied by using topological transversality theorem, and some known results are improved.

现利用拓扑横截定理，考虑了二阶常微分方程两点边值问题在组合边界条件下的解的存在性，对二阶常微分方程两点边值问题所对应的辅助问题作先验界估计，并利用拓扑横截定理，得到了边值问题解的存在性，推广了一些已有结果。

The broad symbolic significance of the trefoil knot is: science has no national boundary; interdisciplinary study has no boundary; science requires communication among countries; science and art are closely linked.

三叶纽结的广义象征意义是：科学没有国界，各学科之间没有边界，科学是相互连通的，科学与艺术是相互连通的。

The fracture mechanism of totally austenite TWIP steel (steel 5#) is: the moving of dislocations is blocked by twin boundary during deformation. Micro-voids nucleate at boundary of deformation twins by the interaction between deformation twins and dislocations. Micro-voids are formation, growth, coalescence and break by the stress concentration during deformation.

全奥氏体的TWIP钢（如5＃钢）的断裂机制为：形变过程中位错的运动受孪晶界的阻碍，形变孪晶与位错的交互作用使微孔形核于孪晶界处，应力集中使微孔长大、聚合直至材料发生断裂。

The fracture mechanism of the whole austenite TWIP steel (steel 5#) was that the moving of dislocations was blocked by twin boundary during deformation, the microvoids nucleated at boundary of deformed twins by the interaction between deformed twins and dislocations, the microvoids grew, got together and broke by the stress concentration during deformation.

全奥氏体的TWIP钢（2＃钢）的断裂机制为：形变过程中位错的运动受孪晶界的阻碍，形变孪晶与位错的交互作用使微孔形核于孪晶界处，应力集中使微孔长大、聚合直至材料发生断裂。

Experiment of convective drying of wet quartz sands as porous media, which had adiabatic-impermeable boundary of undersurface and convective boundary of upside, was carried out in laboratory.

本文以上边界对流传热传质边界和下边界绝热绝湿边界的含湿石英砂填充床为实验对象，进行了对流干燥实验。

As a limited domain is concerned, since the boundary condition limits the uniqueness of the solution of stream function, velocity potential and the partition of wind field, it is important to reduce or eliminate the effect of boundary condition uncertainty.

所以减小或消除边界的不确定对结果的影响是有限区域流函数和速度势计算及风场分解最重要的问题。

By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations.

用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。

The use of an efficient adaptive absorbing boundary condition, which is concluded from Z transform absorbing boundary condition, further improved the accuracy of the calculated propagation constants.

基于大量精确的计算结果，本文总结出了一些实用的设计曲线和两个计算基片集成波导传播常数的经验公式。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。