共轭性

The formal solution of partial differential equations is given on characteristic line, the existence of the optimal control is proven by using Ekeland\'s variational principle, Gronwall Lemma and adjoint system, then the necessary condition of optimality is obtained by means of the conception of normal cone.

用特征线法表示出偏微分方程的形式解，利用Ekeland变分原理，Gronwall引理和共轭系统证明了最优控制的存在性，并借助于法锥概念得到了最优控制的必要性条件。

Three chiral phosphorus ligands were prepared using anisole as the startingat material.Their applications in the asymmetric hydroformylation and asymmetric conjug ed addition of diethylzinc to enones were investigated.

以苯甲醚为原料，合成了三种新的手性含磷配体，考察了三种配体在不对称氢甲酰化反应和ZnEt2对环己烯酮的不对称共轭加成反应中的应用。

Generally speaking, the reaction types involvingα-oxoketene--acetals mainly include the regioselective addition-aromatization with organometallic reagents, conjugate addition-cyclization with nitrogen nucleophilicspecies, nucleophilic reactions ofα-carbon, acting as odorless dithiol equivalentsin thioacetalization, Michael additions and [5+1] annulation, as well as the synthetic applications based on the above reactions.

一般来说，基于α-羰基二硫缩烯酮化学的反应主要为：与金属有机试剂的选择性加成反应，与氮亲核体的共轭加成反应，α-碳原子的亲核性及相关反应，烷硫基作为硫醇的替代试剂的应用，α-羰基二硫缩烯酮在碳环、杂环化合物合成中的应用等。

Chapter 3 studies the compactness of product operators of a composition operator C〓 with the adjoint C〓 of another composition operator C〓 on weighted Bergman spaces A〓. We give some conditions in terms of angular derivatives of the inducing maps ψ and ψ for the operator C〓C〓 or C〓C〓 to be compact.

第三章研究了加权Bergman空间上的一个复合算子C〓与另一个复合算子C〓的共轭算子C〓的乘积C〓C〓与C〓C〓的紧性问题，我们用φ与ψ在〓D上的角导数的某种关系给出了C〓C〓与C〓C〓在A〓上为紧算子的一些判据。

Finally, the numerical results show this class of conjugate gradient methods is very efficient.

然后证明三种新算法在强Wolfe线搜索下的全局收敛性，数值验证表明这类共轭梯度法是比较有效的。

In this paper a class of new conjugate gradient methods are presented, with which the global convergence with generalized Wolfe line search is proven.

本文提出一族新的共轭梯度法，证明了其在推广的Wolfe非精确线搜索条件下具有全局收敛性。

Firstly, we prove the existence and the uniqueness of the hyperfocal subalgebra when the coefficient field is split for a defect pointed group; then, considering the structural pattern of source algebras over arbitrary fields, by means of G-acted groups, we reduce the existence and the uniqueness of the hyperfocal subalgebra over an arbitrary field to the case that the coefficient field is split for a defect pointed group and the inertia group stablizes a hyperfocal subalgebra.

首先我们证明了如果系数域对亏点群是分裂的，则源代数的超聚焦子代数存在且共轭唯一；然后通过考虑任意域上源代数的结构模式，以G-作用群为手段，将超聚焦子代数的存在性和唯一性归结为系数域对亏点群是分裂的情况下惯性群稳定的超聚焦子代数的存在性和唯一性。

The chiral polymer P-1 shows strong blue fluorescence due to the extended π-electronic structure between the chiral repeating unit-6,6'-di(4-trifluoromethyl-phenyl)-2,2'-bisoctoxy-1,1'-binaphthyl and the conjugated linker 2,2'-bipyridyl group via vinylene bridge.

手性高分子P-1能发射强的蓝色荧光，这是由于手性重复单元-6，6′-二(4-三氟甲基苯基)-2，2′-二正辛氧基-1，1′-联萘和单元2，2′-联吡啶通过亚乙烯基桥连形成共轭高分子结构造成的。

Three kinds of optically active pnthalocyanine derivatives modified with chiral 2'-methyoxy-1,1'-binaphthyl; chiral binathyl crown ether; chiral 6,6'-didodecyl- 1,1'-binaphthyl crown ether, have been synthesized and characterized, respectively.

本论文以手性联萘、手性联萘冠醚、冠醚等功能性基团为化学修饰基元，分别合成了三类光学活性酞菁衍生物和两类共轭聚合物，对它们的组装行为以及某些光、电功能性进行了研究。

Chapter 4 is devoted to the existence and multiplicity of homoclinic for self-adjoint nonlinear second order difference equations by using "Mountain Pass " theorem and "Symmetry Mountain Pass "theorem in critical point theory.

第四章应用临界点理论中的山路引理与对称山路引理研究了一类自共轭非线性二阶差分方程的同宿轨的存在性与多重性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。