共轭性

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

This paper analyses the shape of Conjugate Curve of the profiee of pin tooth,develops the formula for computing the curvature of the comjugate curve, and completes the quantitative analysis of conjugate property of the circular arc and pin gears,This paper provides the theoretical foundation for the synthesis of circuler-arc and pin gear transmission.

本文分析了针齿齿廓的共轭曲线型式，推导了共轭曲线的曲率计算式；对圆弧针齿齿轮共轭性作了定量分析，为圆弧针齿传动的综合提供了理论依据。

The accurate solution of linear equations could be expressed linearly by the conjugate vector base, and the iterative strategy was used to construct the conjugate vector base groups and the corresponding coefficient. The constructed conjugate vector base groups were proved to be conjugated.

线性方程组的精确解能够由共轭向量基线性表示，利用迭代的方式给出了构造共轭向量基以及对应系数的方法，证明了算法所构造的向量基的共轭性。

To examinate the thermal properties by TGA、DSC and figure out the maximum decompose temperature which survey the range of liquid crystal temperature. We synthesize conjugated polymer successfully and these emitted blue fluorescence. Hope this experiments will supply well-contribution in field of organic light-emitting diodes.

以TGA、DSC测定其热性质，并了解到由TGA的5%热重损失温度再进行测出液晶温度范围，我们成功的合成出具有良好的加工性的共轭性分子，发光性质都出现在蓝光领域，愿在有机发光二极体的领域上有重大的贡献。

Optimized geometries of these compounds show that they have not imaginary frequeneies, and they are stable on the potential energy surface. The results show that the ring of imidazole has some aromaticity.

基于自然键轨道理论和三维静电势图，分析了稳定结构的成键情况、咪唑环上的共轭性及硝基咪唑化合物的反应性。

Consequently, when applied to minimize a strictly convex quadratic function, the proposed methods terminate at the solution of the problem finitely.

因此，当目标函数是严格凸的二次函数，且采用精确线性搜索时，这些修正的共轭梯度法具有共轭性和二次终止性。

Therefore, it is of great significance to establish scientific and practical standards for the regional planning on the principles of unitarity of ecology and economy, of relative integrity of the administrative area, of time limitation, of the combination of qualitative and quantitative analysis, and of regional conjugation.

因此，遵循生态与经济的统一性、行政区的相对完整性、时限性、定性与定量相结合的、区域共轭性等区划原则，建立科学可行的区划指标，对右江流域内的生态经济环境进行区域划分，对流域可持续发展有着重要的意义。

First, based on quadratic model and Perrys conjugacy condition, two new formulas of the main parameter β_k of conjugate gradient method are proposed.

第一，本文基于二次模型及Perry提出的共轭性条件，导出共轭梯度法的主要参数β_k的两种新形式。

Under the instruction of above-mentioned theoretical results, in the thesis chapter 10, the strongly electron-withdrawing anion, C_5O_5~(2-)[dianion of croconic acid (4,5-dihydroxycyclopent-4- ene-1,2,3-trione)], was chosen as the chelator to coordinate with boron to form lithium salt, which will yield high ionic conductivity solutions, and exhibit wide electrochemical stability windows and high thermal stability. As described in the chapter, two new lithium salts containing C_5O_5~(2-), lithium bisborate and its novel derivative, lithium borate for Li-ion battery electrolytes were synthesized.

在上述理论结果的指导下，论文第十章选择了克酮酸二价阴离子——具有很强的酸性、较好的芳香性、较大的电荷分散性、形成的配合阴离子具有较显著的共轭性——作为配体与B配位，合成了二种新的锂盐，通过实验测定了它们的结构和在有机溶剂中的溶解性。

For 9 pyrazole compounds,their geometry and electronic structures were analyzed by means of natural bond orbital theory;their reactivity was analyzed by electrostatic potential distributions,heats of formation and Bader density were also calculated.

在最稳定几何构型基础上，基于自然键轨道理论，分析了稳定结构的成键情况和吡唑环上的共轭性；用静电势图分析了吡唑化合物的反应性；理论估算了9种化合物的标准气态生成热和Bader密度；最后采用VLW方程计算了这些化合物的爆速、爆压。

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。