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Pisier\'s results,under tree martingale valued space X is isomorphic toan a-uniformly convex space (2≤a<∞),some quasi-normal or normal inequalitiesof a-variation maximal operator and a-conditional variation maximal operator of X-valued predictable tree martingales are identified.

同时,用G.Pisier's结果在树鞅取值空间X同构于a一致凸Banach空间条件下,证明了几个X-值树鞅α-方极大算子和a-条件方极大算子的拟范数不等式与范数不等式。

Finally,the inequality of maximal operators of tree martingale transformsis applied for obtaining the UMD space valued Vilenkin system and the sum ofVilenkin-Fourier series of UMD space valued Vilenkin system is convergent a.e.or convergent in LP-norm.

最后,应用UMD空间值树鞅鞅变换的极大算子不等式,我们获得了UMD空间值Vilenkin系统以范数收敛和几乎处处收敛定理,即Carleson定理的扩展。

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理,利用映射的拓扑可分性,在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理;然后利用W-对应,在H-空间上建立了广义的变分不等式;利用H-KKM映射,在H-空间上建立了广义的KyFan极小极大不等式;最后,利用H-凸性代替拓扑线性结构,在H-空间上建立了一个新型的Browder不动点定理。

The multipeak NDR device can be widely used in multiple valued logics, and analog to digital converters. We obtain a multiple\|valued memory unit through the multipeak N...

并且利用它的折叠的I V特性,实现了一个 4位的FlashA D转换器,与传统的FlashA D转换器相比,SET MOSFET的A D转换器大大地简化了电路。

On the design of algorithms, a novel exact hierarchical delay analysis method for general circuits is proposed; based on the sensitization theorem for sequential circuits, an exact minimizing clocking method is proposed; based on Boolean process, a waveform simulation method considering interconnecting delay for logic circuit and a parallel waveform simulation method are proposed; a new method that transforms bit-level waveform polynomial to word-level polynomial model is proposed; a multiple valued synthesis algorithm based on multiple valued Boolean process and a wire-centered delay synthesis policy are proposed, in which timing planning, floorplanning, wire planning and optimal clock skew in early design are considered; a two-layers channel routing method for minimizing crosstalk under grid mode is proposed; based on the transition numbers theorems for waveform polynomial, a new method for generation of test with noise effects is proposed.

算法设计方面,提出了一种精确的通用电路层次化延时分析方法;基于时序电路的敏化定理提出时序电路最小时钟周期精确确定方法;提出基于Boolean过程论的考虑互连延迟的逻辑电路波形模拟方法,在分析了波形模拟适合并行化基础上,进一步提出一种并行波形模拟算法;提出一种将位级电路波形多项式描述转化成字级多项式描述的新方法;提出一种基于多值Boolean过程的多值电路综合算法以及一种将前期设计定时规划、前期设计的布局规划和线网结构化方法及低偏移的时钟分配等技术相结合的面向互连延时的综合策略;提出一种串绕最小化的网格模式下的双层通道布线方法;从波形多项式描述跳变数的定理出发提出了一种考虑噪声效应的测试生成新方法。

Selecting proper single valued variable separation functions in the 2+1 variable separation solutions,we construct many types of single valued coherent soliton structures such as dromion,dromion lattice,solitoff,2-solitoff,static and kinetic breather,instanton,compacton, peakon,and so on.The interactions among these coherent localized excitations including the collisions of compaction and compacton,peakon and peakon,line soliton and y-periodic soliton,dromion and dromion,dromion and solitoff,et al,are investigated analytically and graphically,and found that can be elastic and nonelastic respectively,which reveal various exotic and important nonlinear characters and interaction properties.

在2+1维分离变量解中选择适当的的单值分离变量函数,构造了2+1维非线性波动模型多种单值相干孤子结构如Dromion,Dromion格子,Solitoff,2-Solitoff,静止和运动呼吸子、瞬子、Compacton、Peakon等;考察了一些典型的非线性激发模式间如Compacton和Compacton,Peakon和Peakon,线孤子和y-周期孤子,Dromion和Dromion,Dromion和Solitoff之间等相互作用行为,发现其相互作用可以弹性的也可以是非弹性的,揭示了多样奇异而重要的非线性特性。

In this paper, first of all, we study the set-valued vector equilibrium problems and the set-valued vector Hartman- Stampacchia variational inequality in normed linear space.

本文首先在赋范线性空间中,研究了集值向量均衡问题和集值Hartman-Stampacchia变分不等式这两个问题的弱有效解的存在性,得到了弱有效解集的连通性和紧性结果。

The answer has Liang to plant, one kind is valued, one kind is not valued.

答案有两种,一种看好,一种不看好。

If you wish to sell off an over valued stock it is more desirable than procuring an over valued one.

如果你想卖掉股票,价值超过了它胜于采购了价值超过1。

In the second chapter, the basis concepts of interval-valued fuzzy sets are given, and a new definition of interval-valued implication operator and triangle norm is proposed, then some properties are proved.

第二章介绍了区间值及区间值模糊集的基本概念,并且给出了区间值上蕴涵算子和三角模的定义及一些性质。

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