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Concept lattice, induced from a binary relation between objects and features, is a very useful formal tool and has been used in many fields.

而由二元关系导出的概念格则是一种非常有用的形式化工具，它体现了概念内涵和外延的统一，反映了对象和特征间的联系以及概念间的泛化与例化关系，因此非常适于发现数据中潜在的概念。

Drills are among the basic tools of industry, building, and manufacturing. Dudley tells time by the television programs he is missing while hiding away from Harry's letters from Hogwarts on the rock and whines that his father wouldn't let him bring the television, his video games, and computer with him in his duffle bag.

钻孔机是工业制造，建筑业，制造业的一项基本工具，当为了躲避哈利从霍格沃茨的信而住在岩石上的时候达利不停的报时说他在错过什么电视节目，并且哭着抱怨他的父亲不让他在他的行李袋里装上他的电视，录象机和电脑。

On the basis of analyzing detailedly the correlative conclusions of the extreme value problem of two variable Function , this paper extends the essential condition and sufficient condition to multi-variable function by using the Taylor Formula 、Quadratic Form 、Hesse Matrix and so on,and gives a method to judge the extreme value of point whose vice-derivative doesn't exist by utilizing Lagranges theorem ,so that compensates for the blank above ,which turns idea that solve the extreme value of multi-variable function problem one by one into realities.

摘要本文在对二元函数极值问题的相关结论进行分析的基础上，用泰勒公式、二次型、海赛矩阵作为工具，将二元函数极值的必要条件和充分条件推广到多元函数的情形，而且还利用拉格朗日中值定理找到了一个判别不可导点处极值的方法，从而弥补了多元函数不可导点处极值无法判断的空缺。因而，使得用穷举判断的方法来解决多元函数的极值问题这一思路成为现实。

Concept lattice is a formalized tool for concept discovery from data, and has been widely used in many scientific applications.

概念格模型作为一种用于数据分析的形式化的工具，已经在众多的领域中获得了广泛的应用。

Theorem of mean significance: The application derivative research function's nature wants directly or indirectly with the aid of Yu Zhongzhi,Specially Lagrange theorem of mean,Here is mainly from the equality proof, the inequality proof, existence asks some limits, the determination equation root and so on five aspects to carry on the discussion,so, The theorem of mean is transforms as the function in the sector research important tool, Must bring to the enough attention in the middle of ours study and the teaching.

中值定理意义：应用导数研究函数的性质都要直接或间接地借助于中值，特别是拉格朗日中值定理，这里主要是从等式的证明、不等式的证明、求一些极限、判定方程根的存在性等五个方面来进行讨论，因此，中值定理是转化为函数在区间上的研究的重要工具。在我们的学习与教学当中要引起足够的注意。

By using the optimal power flow,the relation between the electricity purchasing cost change and the line stability limit which is the product of the stability limit factor and the basic stability limit of the line,is described by the derivative of the augmented lagrangian function with respect to the line stability limit factor.

以最优潮流为工具，将线路的稳定限额看作是基准传输容量限值与稳定限额因子的乘积，通过增广拉格朗日函数对线路稳定限额因子的导数描述了系统购电成本的变化与线路稳定限额因子和线路基准稳定限额乘积的关系。

This Herzog, this man of many blessings, for some reason had endured a frigid, middlebrow, castrating female in his bed, given her his name and made her the instrument of creation

就是这位赫索格，这位福星高照的人，为了某种原因，居然容忍一个冷酷的、教养差劲的、使男人丧失元气的女人做妻子，把姓氏给她，使她成为传宗接代的工具。

Rothenberg also points to the MAPP Online Pro acoustical prediction program as instrumental in planning the system."We can be assured that what we've calculated in terms of speakers and their splay patterns will be absolutely correct, every time. I like knowing that what I see is what I'm going to hear."

罗滕伯格同时也说到 MAPP 在线声场预测程序是本次系统规划的重要工具，"非常值得肯定的是，每一次我们在根据扬声器和吊挂形式进行计算得到的结果将是完全准确的，我喜欢我看到的声场情况正是我们将听到的。"

Designed by Ned Steinberger, the Synapse bass guitar is a HYBRID instrument combining the strength, rigidity and clarity of graphite with the warmth and beauty of wood.

由内德斯坦伯格，Synapse的贝司吉他的设计是一种混合型的工具结合强度，刚度和的温馨和美丽的石墨木材清晰。

The core character that the angel investor of Facebook backside is the Paypal side with famous Silicon Valley Peter Hill , the train of thought that does Paypal is " create a money for new world current ", divide a trifling service fee from which next, facebook is " create human association for new world ", its author plunges into Kebaige to think Facebook is tool of an iformation flow government all the time.

Facebook背后的天使投资人是硅谷著名的Paypal帮的核心人物彼得·希尔，做Paypal的思路就是&为新世界创造货币流通&，然后从中分出些许的服务费，Facebook则是&为新世界创造人际交往&，其创始人扎克伯格一直认为Facebook是一个信息流管理工具。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。