明了

We prove the fuzzy set-valued characteristicfunction of a compact Baire fuzzy set can be approached by fuzzy set-valuedcontinuous functions with fuzzy compact support sets,the integral of integrablesimple Baire fuzzy set-valued function can be approached not only by the integralsof integral simple fuzzy set-valued functions,but also by the integrals of fuzzy set-valued continuous function with fuzzy compact support sets.

定义了诱导空间上具有模糊紧支集的模糊集值连续函数，说明了它与分明的具有紧支集的连续函数的关系，证明了紧贝尔模糊集的模糊集值特征函数可以用具有模糊紧支集的连续函数列来逼近，可积简单贝尔模糊集值函数的积分可以用可积简单模糊集值函数的积分来逼近，还可以用具有模糊紧支集的模糊集值连续函数的积分来逼近。

The rapid change of baleful domain name and download implement avoid those who kill is frequent showed this newlier.

恶意域名的迅速变化及下载器免杀的频繁更新都说明了这一点。

This was the band's highest chart debut in their 20 years career, proving that their winning song writing formula was unbeatable.

在他们20年的职业生涯中，这是乐队专辑首发的最佳成绩，证明了Bon Jovi歌曲创作模式的成功。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

I think that's what Julie was banging on about yesterday.

我觉得茱丽叶昨天的表现恰恰说明了这一点。

The first bar graph refers to consumer trends.

这张条形图表明了消费者意向。

Furthermore, the general formula is illustrated as the weighted summation of historical position states, so as to prove that in terms of cumulative iterations, parameters of PSO have an inherent forgetting characteristic in probability, moreover the searching mechanisms of canonical PSO and Barebones particle swarm are almost the same.

通过将粒子运动的一般性描述图解为历史状态加权和的形式，进一步证明了PSO参数随迭代周期的积累，在概率意义上的遗忘特性。分析表明在经过一定周期的搜索后，标准PSO方法同Barebones粒子群方法(Barebones particle swarm， BBPS)具有近似的搜索机制。

The Bari youngster has proved his worth on the pitch and he is destined to become Totti's heir.

巴厘男孩已经在球场上证明了自己的价值，他注明会成为托蒂的接班人。

Furthermore,it shows that if E is a barrelled space with continuousdual 〓,then 〓 contains no copy of 〓 if and only if each〓 is compact operator.

据此证明了若E是桶型空间，那么〓〓不拓扑同胚地包含〓的充要条件是每个〓都是紧算子。

Next,it shows that if vectorvalued normed sequence space Ehas the bounded uniformly convergence property or0-GHP,then Eis a barrelled space if and only if 〓.

其次证明了，若矢值赋范序列空间E有界一致收敛或者E具有0-GHP，那么E是桶型空间的充要条件为〓〓。

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。