查询词典 defect of operators

For an abitrary set X, appropriate order relations on WCL (the set of all weak closure operators), WIN (the set of all weak interior operators), WOU (the set of all weak exterior operators), WB (the set of all weak boundary operators), WD (the set of all weak derived operators), WD*(the set of all weak difference derived operators), WR (the set of all weak remote neighborhood system operators) and WN (the set of all weak neighborhood system operators) can be defined respectively, which make WCL, WIN, WOU, WB, WD, WD*, WR and WN to be complete lattices that are ismorphic to CS(X,CS is the set of all closure systems on X.

证明了可以在WCL(X上的弱闭包算子的全体)、 WIN(X上的弱内部算子的全体)、 WOU (X上的弱外部算子的全体)、 WB (X上的弱边界算子的全体)、WD、 WD*(X上的弱差导算子的全体)、 WR(X上的弱远域系算子的全体)和WN(X上的弱邻域系算子的全体)上定义适当的序关系，使它们成为与CS(X，〖JX-*5[JX*5]同构的完备格其中CS(X是给定集合X上的闭包系统的全体。

Finally, we analyzed the relationship between the defect modes and s defect structures. The defect mode is most obvious where the defect structure is located. This confirms the relation between the defect mode and defect structure.

最后，我们分析了光子晶体缺陷模态与缺陷结构的关系，发现缺陷模态在缺陷结构处最为明显，证实在频谱中观测到的缺陷模态，确实与所制作的缺陷结构有关。

Although many results have been obtained, there are still a number of very interesting questions about composition operators unsolved. There is much more to be learned about the collective compactness and convergence of composition operator sequences, compactness of various product of composition operators, cyclicity, closed range and spectra of composition operators in various settings. Commutants of composition operators seem to be very difficult to characterize. Only a little is known about their reducing invariant subspaces. There has been no work on C〓 algebras generated by composition operators.

尽管已取得如此丰富的结果，但是关于复合算子仍然有大量非常有意义的问题值得研究，例如：复合算子序列的总体紧性及收敛性、复合算子的各种乘积的紧性、复合算子的闭值域问题、复合算子在各种解析函数空间上的谱的描述、换位复合算子的刻画、复合算子诱导的不变子空间问题、循环复合算子的研究、由复合算子生成的C〓-代数的研究、不同解析函数空间之间的加权复合算子及复合算子半群等等问题。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法，证明一类加权自伴微分算子具有离散谱的充要条件；然后，基于Krein空间上可定化算子谱的性质，对于具中间亏指数的左定型微分方程，建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画（特别证明了J-自伴微分算子具有可定化性）。

Mallory trichrism staining exhibited light blue samples. Eight weeks following repair, CT showed round blunt defect edges in the coronal position, which had bony pustute connection with gel materials. Density at the defect region significantly increased. 3D reconstruction suggested that defects became small. After hematoxylin-eosin staining, abundant fibrous connective tissue appeared in defect regions, with bony tissues. Mallory trichrism staining revealed that maroon mature bone tissues were found, surrounded by light blue chondroid tissues. Twelve weeks following repair, coronal defect regions were filled with callus. 3D reconstruction showed that defects were repaired. Defect region and surrounding bony tissues had bony connection, with thick bone trabecula and mature Haversian system.

修复后8周，冠状位CT显示缺损边缘圆钝，与凝胶材料有骨性突起连接，缺损处密度增高明显，三维重建显示缺损范围较之前有所减小；标本苏木精－伊红染色后缺损部可见大量含血管成分的纤维结缔组织，有骨样组织结构形成，Mallory三色染色显示有褐红色成熟骨组织形成，其旁边有淡蓝色软骨样组织修复后12周，冠状位CT显示缺损区基本被骨痂填满，三维重建示缺损基本修复；缺损区域和周围骨组织形成骨性结合，骨小梁粗大，哈弗氏系统成熟。

Through the number calculation and the theories analysis that designs oping one-dimensional photonic crystal,the characteristic of TM wave and TE wave defect mode resulting from incident argle and the characteristic of TM wave defect mode resulting from thickness of defect were gotten.The defect mode of TM wave have been in the incident angle 0～π/2,the defect mode of TE wave have been in 0～0.65rad.

通过对设计出的一维掺杂光子晶体的数值计算和理论分析，得出了TM波和TE波缺陷模随入射角变化的特征以及TM波缺陷模随杂质光学厚度的变化特征为：TM波的缺陷模透射峰在入射角为0-π/2范围内均存在，而TE波的缺陷模透射峰只在入射角为0-0.65 rad范围内存在；在一定波长范围内TM波缺陷模的波长随杂质光学厚度近似呈线性变化。

In order to investigate the possibility of porous hydroxyapatite ceramics in the repair of skull bone defect, twenty-four rabbits were used. The bone defect model was created by operation to obtain a defect in parietal bone in a size of 1 cm x 1 cm. Filled the defect with HAC and methyl-methacrylate-syrene copolymer to fill the defect as control. At 1st, 2nd and 3rd months after operation, behavior of the rabbits was observed and then these animals were sacrificed and specimens were examined under microscope.

为了探索多孔羟基磷灰石陶瓷作为人工材料修复颅骨缺损的可能性，选健康家兔24只，切除颅顶骨造成缺损，分别用多孔HAC植片及无孔甲基丙烯酸甲脂－苯乙烯共聚物植片修复家兔颅骨缺损，于术后第1，2及3个月处死动物，进行术后反应及组织学观察。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

The core designs of genetic algorithm are design of parameter coding, initial group, adaptitude function, controlling parameter and genetic operators. On other words, they are designs of choose operators, exchange operators and aberrance operators.

遗传算法的核心是参数编码、初始群体的设定、适应度函数的设计、控制参数设定、遗传算子的设计即选择算子、交换算子和变异算子的设计。

The bung uses the stainless steel plate to make the ledger wall, the built-in aluminum silicate heat preservation, the fire door size extends 350mm, high 580mm, in spandrel wall body whole upward promotion type electrically operated heat preservation fire door, when fire doorclosure the entire fire door is a circular whole, the fire door sealing property strengthens, the turntable uses the stainless steel to make the 1600m/m turntable, with take load bearing work piece, the entire turntable does not divide the location as the plane, the operators may pile up the workpiecewillfully, because turntable every 40 minutes turn on lathe biography one week, when work the operators did not look nearly the turntable in the rotation, the fire door starts in addition in a big way, the operators may pass in and out the work piece willfully, but is not limited the time the turntableto be possible in 20-60The minute revolves one week-long time to modulate velocity willfully, no matter the fire door opens shuts, the turntable from the start work on uninterrupted revolving, not any necessity and the fire door open shut carry on the interconnection, needs to stop when revolves, onlyneed press down on the control electricity tank's pause button then, the fire door opens shuts, grasps voluntarily by the operators, presses installs nearby the fire door opens shuts button then. Transfers the bottom type resistance furnace's temperature control part to use the microcomputer automatic

炉盖采用不锈钢板做底板，内置硅酸铝保温，炉门尺寸宽350mm，高580mm，侧墙体中整体向上提升式电动保温炉门，炉门关闭时整个炉门为一个圆形整体，炉门密封性能增强，转盘采用不绣钢制成1600m/m转盘，用以承载工件之用，整个转盘为平面不分工位，操作人员可以任意堆放工件，由于转盘每40分钟旋传一周，工作时操作人员几乎看不到转盘在转动，加上炉门开的较大，操作人员可以任意进出工件，而不受时间限转盘可以在20—60分钟旋转一周的时间任意调速，不论炉门启闭、转盘从启动工作就不间断的旋转，没有任何必要与炉门启闭进行联锁，需要停止旋转时，只需按下控制电柜上的停止按钮即可，炉门的启闭，由操作人员自行掌握，按动安装在炉门边的启闭钮即可。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。