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The major foundation is that the rank of the matrix should be kept alike after making primary transformation of the matrix consists of transformation of lines and transfortmation of rows,here are mainly the instances of the transformation of lines.

主要依据是矩阵的初等变换在变换前后保持矩阵的秩不变，矩阵的初等变换包括行初等变换和列初等变换。这里主要以行初等变换为例。

Of course, the cold war was replete with instances of what the foreign policy analyst Stephen Sestanovich calls American maximalism, wherein Washington acted first and sought legitimacy and support from its allies only after the fact.

诚然， 冷战时期，外交政策分析家史蒂芬·希斯坦诺维奇所称的"美国最大化主义"的实例比比皆是，那段时期，华盛顿先采取行动，尔后才去寻求合法性以及盟国的支持。

This mechanism can be used in mechanical ocean wave electric generators and be applied to other instances also, such as automatic upper cord of mechanical watch, etc.

该机构可应用於机械式海洋波浪发电机构中，也可应用於其它场合，如机械手表中的自动上弦机构等。

The fruit of this plant is also used medicinally, though in some instances the leaf appears useful as well.

这种植物的果实也常用於作为药材，某些情况下，其叶子也有药用价值。

In most, if not all instances, he was present at the invitation of MGM.

不是所有场合也是在多数场合，他都是受到美高梅的邀请而出席。

In comparison, in MIL the labels are only assigned to bags of instances .

相对的，多示例学习中的标签只和示例包一一对应。

On the other hand, there can also be instances where the imported goods maintain their identity but form such a minor element in the goods sold in the country of importation that the use of this valuation method would be unjustified.

另一方面，还有可能出现的情况是，虽然进口货物在加工后保持其特性，但在进口国所销售的货物中构成很小的要素，而使这种估价方法的运用不合理。

In both cases his purpose was to right a miscarriage of justice, and in both instances he succeeded in exonerating a man who had been convicted and sentenced to a long term at hard labor.

在这两个案件中，他都试图纠正错误的判决，而且他两次都最终成功地使已被定罪并被判服长期苦役的人得以昭雪。

The two fuzzy neural network models are constructed respectively for generalized modus ponens and modus tollens. The paper gives the properties, learning algorithms and inference instances of the two neural networks. And the paper also compares this generalized method with the other inference methods.

传统的区间值模糊集的相容性则度由于结构复杂，从而掩盖了它的一些本质，而且与人的某些直觉不符，为此本文另外提出了一个"相合度"概念，并将两者进行了比较，分别给出了相容度和相合度为1的充分必要条件和直观解释，并首次讨论了模糊推理对相容度和相合度的传播问题。

And giving the way to own the biggest coefficient in an inferior expansion; The third is that showing the mathematic expectation for multinomial distribution, covariance matrix, characteristic function as well as generating function; Finally, introducing some application instances about gaining maximum value and some simple applications of multinomial distribution in reality.

并且给出了M项N次多项展开式中最大系数的求法；3。介绍多项分布的数学期望、协方差阵、特征函数以及母函数；最后，介绍多项分布最大值求法的应用事例以及多项分布在实际中的简单应用。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。