上有界的

The quadrature formula about surface integral on any quadrilateral element is deduced by means of isoparametric transformation and bilinear interpolation.

通过对三维有界区域的边界曲面作四边形网格剖分，用有限元方法处理高斯公式中的曲面积分，由等参变换及双线性插值导出任意四边形单元上曲面积分的数值求积公式。

It is to ask whether every bounded linear operator on a separable Hilbert space has a nontrivial invariant subspace and it can be reduced to the case of diagonal operator.

不变子空间问题是一个引人瞩目的公开问题，它是说在一个可分的Hilbert空间上是否每一个有界线性算子都存在非平凡的不变子空间？

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

The purpose of this paper is to prove the existence of non-oscillatory solutions to second-order neutral time-lag differential equation with positive/negative coefficient by using contraction-image principle through defining an operator from a bounded,closed,and convex subset into Banach space.

通过定义有界闭凸子集到B anach空间上的一个算子，应用压缩映像原理讨论了带有正负系数的二阶中立型时滞微分方程非振动解的存在性，得到该方程非振动解存在的一个充分条件。

The discussion produces some useful result:theconvergence of bounded subfeasible solution sequence and the convergence to zero of thesubfeasible dual gap.

在引入摄动的思想下，针对受摄动KKT系统，首先证明了以上四个规划问题中线性规划及其Wolfe对偶问题解的存在性，在此基础上得到一个关于其有界次可行序列收敛和次可行对偶间隙收敛到0的重要结论。

We also study the weighted composition operators between Hardy spaces on the unit ball, as well as between Bergman spaces. Some equivalent conditions that the operators are bounded or compact are given in term of the Carleson type measure.

另外，我们也考虑了单位球上Hardy空间之间及Bergman空间之间的加权复合算子，利用Carleson型测度，给出了有界和紧性的等价条件。

Depending on this, we concluded the difference of Zeitgeist between mid ages and pre-modern literature on merchant spirit: either the dominant idea of the mid ages poetry is "powerful commerce leads to underdeveloped farming", or the idea that focuses on "mutual benefits" based on court and local policy; but the beginning of pre-modern literature----- the agreement between scholar-bureaucrats and merchants comes from lightheartedness, joy, sentimental expression and lyrical description expressed by middle period of Ming merchant poetry that deeply reflected the citizenly cultural spirits. Contrast to the poetry on merchant of middle literature, this is the ultimate transformation, showed the mostly characteristic of pre-modern literature priorly .

以此为界说，可以归纳出中世、近世涉及商贾诗歌的不同的时代精神：中世时期的诗歌或以&贾雄则农伤&为其主导思想，或主要着眼于朝廷与地方政策的层面张扬&农商兼利&的思想；而近世文学的起点———明中叶涉及商贾的诗歌往往在自由自在、安享快乐及张扬情欲、舒展性灵等方面有士商心灵的契合，在深层次上反映了市民文化精神，相对于中世涉及商贾的诗歌有根本性的转变，较早地显示出近世文学的主要特征。

The core of this thesis,which consists of the five chapters,discusses mainly the bound-edness on the homogeneous Morrey-Herz spacesdenoted by MK_(p,q~for some classes of higher order commutators which are generated by some common linear or sublinear op-erators.

本文共分五章，主要讨论了一些常见线性算子的高阶交换子在齐次Morrey-Herz空间MK_~上的有界性问题。

You could argue that art became more skeptical of happiness because modern times have seen so much misery.

带给我们最大快乐的事件，同时也暗含着巨大的损失和失界上有太多快乐要去谴责。

We discuss the reverse mappings of the linear translation of Lipschitz isomorphisms which preserve Γ-null sets, and use them to study the Lipschitz classification of Banch spaces.

运用有界线性算子对Lipschitz映射做线性平移，使其逆映射能够保持Γ-null 集不变性，在Banach空间的Lipschitz分类问题的研究上能得到一个切入点。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。