借助于...

It was shown that with the help of vectrix one can treat the relative derivatives of a tensor more clearly and more rigorously when multiple reference frames were concerned.

研究表明，通过借助于矢阵概念，在涉及多个坐标系时，张量的相对导数得到了更加清晰和严格地描述。

With the help of the notation of the skew-symmetric tensor, the expression for the 1st order absolute and relative derivatives of a tensor was presented, and the expression for the 2nd order absolute and relative derivatives of a tensor was offered further.

由此，并借助于反对称张量，给出了张量的一阶绝对导数和相对导数之间的关系式，并又进一步给出了张量的二阶绝对导数和相对导数之间的关系。

By using Chinese Remainder Theorem of input/output series, the internal connection between the structure of prime factor algorithm and Cooley-Tukey algorithms is revealed.

借助于输入输出序列的中国余数定理映射，本文揭示了素因子算法结构和Cooley-Tukey算法结构的内在联系。

Couldn't one take a look around and do sampling with a remote-controlled lunar rover?

人能不能简单地借助于一个遥控的月球车来观光呢？

When a shortest path between nodes is searched with this algorithm,a lot of repetitional computations are involved,so that the efficiency is low.

借助于矩阵算法来求最短路问题比较有效[1]，但当节点比较多时，计算的矩阵多，重复计算量大，降低了计算效率[2，3]。

With a representation of the rotation group induced by the anti-commutative, self-inverse matrices the transformations named by Foldy-Wouthuysen, Cini-Taschek,Chakrabarti and the others are treated from a unified viewpoint. A new transforma-tion is found. Some applications of this method in the eigenvalue problems are demon-strated.

我们找出了由反易自逆矩阵荷载的转动群表示，统一地推广处理了Foldy-Wouthuysen，Cini-Tauschek，Chakrabarti等提出的各种变换；建立了一个几何图像，借助于它可以很容易地找到所要求的交换；举例说明了这方法在本征值问题中的应用。

Based on this Sailing Program and MATLAB ,we compared rhumb line with great circle line , and discussed the relationship between voyage and other parameters .Finally , we drew the conclusion.

最后借助于航线设计程序和MATLAB，我们对两种航线进行了比较，讨论了两种航线航程之差和航线的其他参数之间关系，并得出了结论。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三，本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程，获得了在比以前文献中条件更弱的情况下，结论更广的结果，并且，它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想，为这一新的研究领域奠定了基础。

The writer carries on processing to the Laichau area ETM remote sensing phantom data with application digital image processing method, and has obtained the good effect. She has withdrawn the mineralization alteration information and strengthened the loop of wire phantom characteristic. She has verified the golden ore deposit was in the loop of wire structure connection, the junction cuts as well as the ring structure edge spot. With the aid of in the remote sensing study information analysis method, the writer withdraws the mineralization advantageous loop of wire structure from the remote sensing phantom, and uses the mineral resource appraisal analysis system MORPAS software developed by China University of Geology to linear structure quantitative, gained massive quota information related with the gold mineralization.

本文应用数字图像处理方法对莱州地区的ETM遥感影像数据进行处理，取得了较好的效果，提取出了矿化蚀变信息并增强了线环影像特征，已探明的金矿床均处于线环构造交汇、交切以及环形构造边缘部位；借助于遥感地学信息分析方法，从遥感影像中提取成矿有利的线环构造，并利用中国地大开发的矿产资源评价分析系统MORPAS软件对线性构造定量化，获取了大量与金矿化有关的定量信息。

Ring-shaped structure as a kind of indication information has very important significance and value to ore exploration.

环形构造作为一种指示信息对找矿具有非常重要的意义和价值，借助于卫星遥感影像对研究区的环形构造信息进行了深入探讨与研究，首先对该区的环形构造信息进行了遥感解译，通过环形构造的影像特征及其与矿点的产出关系来探讨环形构造的控矿特性，并进一步分析其与成矿的内在成因，最后基于深入研究的基础之上，提出了充分利用卫星遥感影像环形构造信息展开矿产资源勘探的思路和策略。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。