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Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

进一步本文还通过特征函数的组合关系所满足的Riccati方程，得到了该等谱方程族的无穷多个守恒律；为简便起见，本文以广义TD族为例，由它的2×2 Lenard算子对的性质证明了此算子对为Hamilton算子对，这说明广义TD族是广义Hamilton系统且具有Bi-Hamilton结构和Multi-Hamilton结构；进而利用它的依赖于谱参数的一般守恒密度的积分在约束条件下求泛函导数的方法，得到了广义TD族的Hamilton函数与守恒密度之间的对应关系，这些性质对于由本文提出的2×2谱问题所导出的等谱孤子族仍成立；另外此谱问题与AKNS系统存在着规范变换，位势之间有广义Miura变换，而孤子方程之间也满足一定的等价关系。

This intermediate is the one to one to hundreds of millions of money transactions.

这中间是12点59有数以百万计的金钱交易。

Through the one-to-one relationship between the inverse number and the binary number, the dictionary mapping was got. According to the dictionary mapping, watermark encoding, watermark embedding and watermark extracting were implemented.

算法通过排列的逆序数和二进制数的一一对应关系得到映射字典，再根据映射字典完成水印数据的编码、嵌入和提取。

Thus, you can build an object view hierarchy which has a one-to-one correspondence to the type hierarchy.

也就是说，用户构建的对象视图层次结构与相应的对象层次结构是一一对应的。

Up until now, I have always tried to help them along as much as I can on a one-to-one basis.

到目前为止，我一直尝试尽我所能地去一一回答。

The Project Coordinator Assistant is responsible to provide administrative support,on a one-to-one basis.

项目协调助理负责提供一对一的基础行政支持，通过其在秘书和行政工作方面的任务协助项目协调，能最好的利用时间。

He could then hire a coach, and brief him or her to change the mindset of his direct subordinates on a one-to-one basis.

那么他就有可能聘请一位教练，要求教练以一对一的形式改变直接下属的思维方式。

If suitable, volunteers may either be placed in a group to support a paid tutor or may work with a student on a one-to-one basis.

假使适当，义工可能会被安排在一个团体内来支援一位有薪水的助教，或可能是与一位学生做一对一为主的工作。

B the supply of new products, vendors must ensure that those responsible for waste the same type of equipment as long as the supply of equipment also perform the same function, free return on a one-to-one basis to vendors.

在供应新产品时，销售商要负责确保这些废弃物，只要型号设备相同且履行了供应设备相同的功能，能够在一对一的基础上免费返回销售商。

Like the telephone,radio enables human voices to be heard on a one-to-one basis over vast distances

广播使人们的声音越过万水千山，一对一地播放给观众听

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。