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It is proved that a complete lattice is completely distributive lattice if and only if it is both semi-Smooth lattice and semi-continuous lattice.

证明了完备格L是半Smooth格和半连续格当且仅当L是完全分配格。

A complete lattice L is a quasicontinuous lattice iff the lattice of all Scott open subsets of L is hypercontinuous and hypercontinuous lattices are continuous lattices which are Hausdorff in their interval topology.

Heckmann从幂domain的构造角度研究了拟连续domain并给出了拟连续domain的拓扑式刻画(见[25])，超连续格具有良好的性质，如可用有限正则关系进行表示，有纯序论的刻画等。

The V-system is a new class of complete orthogonal functions system in L2[0,1], which is composed of piecewise kth-order polynomials. There are continuous functions as well as discontinuous functions in V-system.

V-系统是一类由分片多项式构成的正交函数系，函数系中既有连续函数又有间断函数。

Based on the shell element degraded from the continuous body, concrete and configured steels are modeled by the layered shell element, and the vertical steels burdened with added loads are completed by the combined shell element. Then, with the smeared crack model, associated flow rule and Madrid hardening model, the material nonlinearity of the concrete is depicted. The stiffness matrix of nonlinear thin-walled shell element is deduced. As for RC multi-T girders subjected to transverse loads, the properties, such as crack expanding and steel yielding, are studied.

基于实体退化壳单元理论，采用分层单元模拟了混凝土和构造钢筋，采用组合单元模拟了受力纵筋；并利用弥散裂缝模型、关联流动法则和Madrid强化准则等来描述了混凝土的材料非线性，推导了非线性薄壁壳单元的统一单元模式，研究了横向荷载作用下RC多T梁上部结构的裂缝发展和钢筋屈服等性能。

We establish the equivalent integral equations to these problems, and prove that the defined operator is completely continuous.

建立了与这些问题等价的算子方程，并证明了所定义的算子是全连续的。

In chapter two,we find a completely continuous operator,the original operator equation is transformed a fixed point problem.

在第一章中，我们给出本文要用到的一些预备知识和本文的主要结果。

The main tools are the iterative method of monotone operator and the cone-compression theory of completely continuous operator.

主要工具是单调算子的迭代方法和全连续算子的锥压缩理论。

2By constructing a completely continuous operator in a functional space and employing the cone compression and expansion fixed point theorems, we obtain some sufficient conditions which guarantee the existence of positive periodic solutions for Eq.

通过在一个函数空间构造一个全连续算子，再利用锥压缩锥拉伸不动点定理，得到了一些保证方程(1)，(2)至少存在一个周期正解的充分条件，所得结论改进了文[1]和[6]中的结果。

The reason of this phenomenon is studied. Continuous changes of cutting component force perpendicular to cleavage plane are found to be main causes of this phenomenon. The measurement result of machined surface microtopography by AFM is shown to be a good agreement with this viewpoint.

本文主要对该现象的产生原因进行了研究，认为车削过程中垂直解理面的切削分力的连续变化是产生这种分布特征的主要因素，用AFM对加工表面微观形貌的检测结果充分地证明了该观点的正确性。

Equal forms with multiobjective function optimization of composite structure,which is suitable for genetic algorithm solving, is constructed. Expression of optimal problem with chromosome including discrete mixed with continuous variables are established.

用评估函数法构造了适用于遗传算法求解的复合材料结构多目标优化问题的等价表达形式，给出了离散变量与连续变量混合优化问题解的染色体表示。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷