数集

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

In chapter 4, we give the definition of quasi-norm of linear operator with respect to a given bounded set in F* space and study some of its properties.

第四章 在F~*空间上给出线性算子关于一个给定有界集的拟范数的定义，研究它的某些性质。

The existence of supremum and infimum of the bounded set in the noncompact fuzzy number space E〓 is proved in a quite different way.

利用完全不同的方法证明了非紧模糊数空间中有界集的确界存在性。

The main works are to extend the related conclusions of continuous time systems to discrete time systems and the determination of state reachable set when bounded control input set is used. The properties of system's incremental gain are studied next.

文中第一步先讨论了应用耗散系统基本理论来界定系统诱导范数的方法：给出了确定有效系统耗散函数的方法：主要工作体现在将连续系统的相关结论推广到了离散系统：以及有界控制输入时系统状态能达集的界定。

Single leaf alternate, oval to lanceolate , there is a clear and thick jagged edges or deep cleft, base wedge-shaped, with petiole, the first capitulum solitary or a few stems and branches set born in the top of the outer phyllaries green multi-layer, strip, edge membranaceous; tongue Flower-shaped yellow, red, purple or white or light green.

单叶互生，卵形至披针形，边缘有明显而粗大锯齿或深裂，基部楔形，有叶柄，头状花序单生或数个集生于茎枝的顶端，外层总苞片绿色多层，条形，边缘膜质；舌状花黄色，红色、紫色或白色甚至浅绿色。

If a n-dimensional unoriented cobordism class α_n containing a representative that admits a (Z_2)~k-action with fixed point set of constant codimension r,we may say that α∈is an ideal of the unoricnted cobordism ring MO_*=.

若n维未定向协边类α_n的一个代表元M~n上有不动点集为常余维数r的(Z_2)~k光滑作用，则记α_n∈J_~r.J_~=∑_n≥r_J_(n，k~r是未定向上协边环MO_+=∑_(n≥0)MO_n的理想。

In the first chapter,we discuss the problem of (Z_2)~k-actions with fixed point set of constant codimension.

在第一章中，我们对具有常余维数不动点集的(Z_2)~k作用进行了研究。

Landing typhoon ; commensurability ; commensurable formula ; commensurable set ; frequency

登陆台风；可公度性；可公度式；可公度集；频数

We show that the whole space IF~*(R, d_∞~* is complete metric space, and when K is a nonempty compact subset of R, the metric space IF~*(K,d~* and IF~*(K,d_p~* are complete.

我们证明了当K是R上的非空紧子集时，紧支撑包含在K中的所有区间值模糊数所成之集TG~*

In this paper,four aspects of the above problems were studied:Firstly, the problem of solving continuous linear operator equation inseparable Hilbert space is studied .

通过把第一类连续不适定算子方程转换为等价的无穷维方程组，然后利用投影法，给出了解存在唯一的充要条件；给出了连续线性不适定算子方程解析解，解决了不适定情况下解的表示问题，由此给出了算子方程的数值求解公式；进一步证明了，在解不唯一情况下，此表达式给出的解为算子方程的最小范数解，同时表示出了连续线性不适定算子方程的解集。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。