对偶基

The study includes the fuzzy independent set, fuzzy bases, fuzzy circuits, fuzzy rank, fuzzy hyperplanes, fuzzy closure operator, fuzzy submatroid, quasi-fuzzy graph matroids, fuzzy graphic matroids, fuzzy dual matroid and so on.

研究的内容包括模糊拟阵的独立集，模糊基，模糊圈，模糊秩函数，模糊超平面，模糊闭包算子，模糊子拟阵，准模糊图拟阵，模糊图拟阵，模糊拟阵的对偶和模糊拟阵的运算等等。

The study includes fuzzy bases, fuzzy circuits, fuzzy rank function, fuzzy hyperplanes, fuzzy closure operator, fuzzy submatrods, quasi-fuzzy graph matroid, fuzzy graphic matroids, fuzzy dual matroid and so on.

研究的内容包括模糊拟阵的模糊基，模糊圈，模糊秩函数，模糊超平面，模糊闭包算子，模糊子拟阵，准模糊图拟阵，模糊图拟阵，模糊拟阵的对偶等等。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

The author derives the dual functional of the Wang-Ball basis for the first time and then obtains the explicit expression of Wang-Ball basis in terms of the Bernstein basis.

作者在这里首次给出Wang-Ball基函数的对偶泛函，并由此导出从Bernstein基到Wang-Ball基的显式表示。

The contents involve the recursion algorithms, the dual functional of SBGB basis and the transformation formula between SBGB basis and Bernstein basis.

给出它们的递归算法，SBGB基函数的对偶泛函，并由此得到SBGB基函数与Bernstein基函数转换公式。

Based on the dual relation between flow graph and potential graph,flow graph represent the trusses and potential graph represent the mechanisms,obtained the duality relation between trusses and mechanisms.

基于流图和势图的对偶关系以及基尔霍夫定律，用流图表示桁架，势图表示机构，建立了桁架和机构的对偶关系。

Based on the existed theory of mareoids and fuzzy matroids, this thesis studies the closed regular fuzzy matroid and its fundamental sequence, the fuzzy base and its algorithm of closed fuzzy matroids, the fuzzy circuit and its algorithm of closed fuzzy matroids and so on. The main contributions of this thesis are as follows: 1 The necessary and sufficient condition of closed regular fuzzy matroid and a property of its fuzzy dual matroid are found by studying some properties of closed regular fuzzy matroid. 2 By studying some properties of fuzzt bases of closed fuzzy matroid, the necessary and sufficient condition of judging fuzzy bases of closed fuzzy matroids and some corollaries are found. In the end, an algorithm of obtaining a fuzzy base is given. 3 By studying some properties of fuzzt circuits of closed fuzzy matroid, some necessary and sufficient conditions of using its fundamental sequence to express fuzzy circuits are found. An algorithm of obtaining a fuzzy circuit is given. 4 By studying the fundamental sequence of closed regular fuzzy matroid, some necessary and sufficient conditions of fundamental sequence of closed regular fuzzy matroid are found.

本文在现有拟阵和模糊拟阵理论的基础上，研究了闭正规模糊拟阵及其基本序列，闭模糊拟阵的模糊基及算法、模糊圈及算法等内容，现分述如下： 1研究了闭正规模糊拟阵的一些性质，得到了闭正规模糊拟阵的充要条件及其模糊对偶拟阵的一个性质； 2研究了闭模糊拟阵模糊基的性质，找到了闭模糊拟阵模糊基的充要条件和几个推论，最后还给出了求模糊基的算法； 3研究了闭模糊拟阵模糊圈的性质，找到了用基本序列来表达模糊圈的几个充要条件，并给出了求模糊圈的算法； 4研究了闭正规模糊拟阵的基本序列，找到了闭正规模糊拟阵的基本序列的几个充要条件。

Based on dual sealing function and dual wavelet, the algorithm of constructing a compactly supported biorthogonal wavelet is proposed, at the same time, rigorous process of proofness and deduction is show.

基于对偶尺度函数及对偶小波，提出了一种构造紧支集双正交小波基的算法，幷给出严密的证明和推导过程。

The inhibition effect of 2,2,6,6-tetramethyl-4-hydroxylpiperidine-oxyl and some phenols and quinones on the AIBN initiated radical polymerization of styrene was studied by using dilatomitry method.

用膨胀计法，研究了2，2，6，6-四甲基-4-羟基哌啶氧自由基及一些醌、酚类化合物对偶氮二异丁腈引发的苯乙烯自由基聚合的阻聚效应。结果表明，当 St在80℃聚合时，加入TMHPO·或TMHPO·-BQ，阻聚效果较为显著。

The maximum coupling efficiency of the star styrene-butadiene rubber was 85.93%, obtained when the molar ratio of tin tetrachloride and active chains was 0.2625, tin tetrachloride was added in two portions and with the terminal styrene moiety exchanged for butadiene.

结果表明，四氯化锡的用量和加入方式以及端基转换均对偶联效率有影响，四氯化锡与活性分子链的物质的量比为0.2625，且在转换端基的条件下分2次加入时，所得星型丁苯橡胶的偶联效率最高为85.93%。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。