1.In this paper , we show that the real-time deterministic pushdown automata with infinite stack symbols are equivalent to infinite automata. Futhermore we generalize the Myhill- Nerode theorem of finite automata to infinite automata and real-time deterministic pushdown automata with infinite stack symbols.
本文证明了具有无穷栈符号的实时确定下推自动机与无穷自动机的等价性，并且将有限状态自动机的Myhill－Nerode定理推广到了无穷自动机和具有无穷栈符号的实时确定下推自动机。
2.3. The paper uses two kinds of coupling model to simulate the infinite foundation, and those are 8-node finite element coupling 8-node infinite element and 20-node coupling 12-node infinite element.
3．本论文用了两种耦合模型来模拟无限域地基，即8结点有限元与8结点无限元耦合，20结点有限元与12结点无限元耦合。
3.Among them, the interface element is used to think of the interface slippage and ripping, and the infinite element is used to reflect the remote effect of infinite foundation soil field.
其中，接触单元考虑结构与土壤之间的错动滑移及拉裂,而无限元可有效地反映地基土体无限域的远场效应。
4.We first study the finite user based cellular traffic new model and its performance in Chapter 3. Erlang B model handles the traffic problem efficiently when the total user number is infinite, but it may not be true when the total user number is not close to be infinite.
针对微蜂窝中用户有限的情况,提出了描述用户呼叫模型的公式,分析了模型的性能,分析了有限用户对系统阻塞率和平均在线用户数的影响,提出了阻塞率的近似估计公式。
5.it is proved that, the metric of a Schwarzschild black hole of mass M situated at r=0, z=λ in Weyl coordinate system if M approaches to infinite and is finite, becomes a vacuum C metric when mass m is equal to 0. The proof shows that, the space time of a vacuum C metric when m=0 is a neighborhood nearby the horizon of an infinite Schwarzschild black hole.
质量为M位于Weyl坐标r＝0，z＝λ的Schwarzschild黑洞度规，当M趋于无限大并保持有限时，就变成为质量m为0的真空C度规，这表明，质量为0的真空C度规时空是无限大Schwarzschild黑洞视界的邻域。
6.According to de Broglie wave hypothesis,based on one dimensional infinite wall and by using standing wave condition,distribution of momentum of a particle in one dimensional infinite wall is deduced.
根据德布罗意波假设,采用无限深势阱模型,利用驻波条件,求出无限深势阱中微观粒子的动量分布。
7.the infinite ingenuity of man; infinite wealth.
人类无穷的智慧；无穷的财富。
8.In this paper we have characterized the structure of various twist interfaces which are composed of (001 ),(011),(111 )-oriented semi-infinite crystals of four face-centered cubic (FCC) metals Ag, Au, Al, Cu and (001), (lll)-oriented semi-infinite crystals of Si respectively with the coincidence site lattice, and calculated their energy with Modified Embedded Atom Method (MEAM).
本文采用重合位置点阵(CSL)的方法表征了Ag、Au、Al和Cu四种面心立方(FCC)金属的(001)、(011)和(111)取向的半无穷大晶体分别与Si的(001)和(111)取向的半无穷大晶体构成的扭转界面的结构,并应用改进嵌入原子法(MEAM)计算了它们的能量。
9.The paper solves DST model in infinite conductivity vertical fracture well, whichenriches knowledge of infinite conductivity vertical fracture well, and establishesfoundation for further research of DST in finite conductivity vertical fracture well.
通过本论文的研究,解决了无限导流垂直裂缝井 DST 段塞流试井问题,丰富了对无限导流垂直裂缝井的认识,为进一步探讨有限导流垂直裂缝井 DST 段塞流试井模型,加深对有限导流垂直裂缝井的认识奠定了基础。
10.In this paper, the author has investigated 2-group and has obtained the structures of one class of 2-group. Furthermore, the author gives an example that an infinite 2-group has an infinite abelian subgroup.
通过对 2 -群的研究 ,得到了一类 2 -群的结构 ,进而给出了一类无限 2 -群有无限的阿贝尔子群的例子 .
