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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)。

It was intensively used in the field of portable computer and communications, if one doubles the specific capacity of the positive electrode, e.g., by using an oxide that could reversibly intercalate ILi instead of 0.5 Li per 3d-metal, one could increase the specific capacity of the cell by 68%.

如果正极的比容量增加一倍,即每个3d金属能嵌入1个理,那么电池的比容在量就能增加 68%;如果负极的比容量增大 1倍,那么电池的比容量只增大12%,所以对埋离于电池的研究主要应放在对正极材料的研究上,LIMn.O。由于电压高、价格便宜和对环境友好而成为最有希望的备选材料之一。

The nose of the Cessna was now embedded into the side of Jack's plane. The Cessna's one-piece wing had snapped off on impact, ripping away a section of the Twin Beech's roof. Jack now had a convertible.

Cessna的机头嵌入到杰克的飞机的机身里, Cessna 一段折断的机翼将 Twin Beech 机舱顶盖揭去一块,现在杰克的飞机变成敞篷的了。

The main aim of this thesis is to study the properties of the maps for Heisenberg group target, which include Lipschitz and Holder continuity, L~#,H~(n , W~(1,p)#,H~(n , BMO and John-Nirenberg estimates, embedded theorems, Poincare inequalities and reverse Poincare inequalities, the regul-arities about the minimizers.

本文的主要目的是系统研究靶流形为Heisenberg群的函数及其空间的性质,其中包括Lipschitz及Hlder连续性、空间L~p及W~(1,p)的性质、空间BMO的性质及其上的John-Nirenberg估计、嵌入定理、Poincare不等式和逆Poincare不等式、能量极小映射的存在性、正则性及用调和函数逼近能量极小映射等问题。

Dry, cold air is induced reaction of transformation.6vertical wind shearIS a important role 7 the interaction stage of tropical cyclone with a midlatitude baroclinic zone was an essentialcomponent.

垂直风切变相互作用是激发热带气旋的变性不可获缺的条件(7)热带风暴和中纬度斜压带相互作用是变性的必要条件:只有减弱的热带风暴嵌入先前存在的中纬度斜压带,才能完成正压向斜压的转变。正是热带气旋环流和斜压带和垂直风切变相互作用激发了热带气旋的变性。

Under some conditions we obtain the existence of nontrivial solution by analyzing the best Sobolev embedding constant and by use of the minimax theorems without conditions.

通过使用没有条件的极小极大定理,以及对最佳Sobolev嵌入常数的详细分析,得到了一些具临界Sobolev指数的半线性椭圆系统的真正非平凡解的存在性,并讨论了解的一些性质。

Furthermore, the paper presents a line oriented locating algorithm for fast locating triangles, which has the advantage of unique path and steady operation compared with other locating algorithms.2 Applying the theory of Constraint Delaunay Triangulation, the paper propounds the dynamical algorithm for constructing CDT, which insist that the constraint segments be inserted into the triangulation as soon as possible on the condition that they have been known already.

同时提出了快速定位三角形的直线方向定位算法,该算法与一般方向定位算法相比,具有搜索路径唯一,运行稳健的特点。 2应用约束Delaunay三角网理论,提出了构建CDT的动态算法,提出在约束条件已知的情况下,应尽早嵌入约束边。与传统构建CDT的"两步法"相比,具有速度快,点集可以动态扩充的优点。

In this article, a algorithm CCN is put forward to study the crossing number. It is a very important development in graph planarity issue after planarity-determinant algorithm and embedding algorithm.

本文首次给出了较好的计算图的交叉数算法CCN,这是继图平面性判定算法,二连通图的平面嵌入算法之后在图的平面性问题上的一个最重要的进展。

Debugging software is needed in the recognizing phase, it is used to watch the execution state, when all planted plane cubic tree structures are detected, they will be decoded into n natural numbers, and the original product of two prime numbers will be got through Chinese Remaining Theory.

水印的检测可以通过调试软件来实现,让调试软件监督嵌入水印的受维护程序的执行,当检测到全体n个PPCT构造后,将它们全体解码为n个天然数,最后应用中国剩余定理将这n个天然数还原出最初的两个大质数的乘积亦即最初的水印信息。

Simple gauzy full-length sheers trimmed in pom-pom fringe would have completed the window; the outlining seems like a desperate attempt at softening the opening.

简单的长款薄纱边缘嵌入绒球,使窗户的设计更加的完善,但是这样的设计在空间的开阔性上也是一个很危险的尝试。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?