证明用的

This is an intuitionistic methods, and using it can prove Mountain Pass lemma.

这是一种较为直观的方法，用它可以证明山路引理。

However, the irretrievable breakdown is to be proved over a period of time rather than the use of the five facts.

但是 无可挽回的破裂来证明在过去一段时间，而不是用五个事实。

We use the idea of isothermal parameter representation to prove a convergence theorem, which serves as an important theoretical base of studying the problem of rational Bézier surface.

运用等温参数化思想证明了一个收敛定理，作为用Dirichlet能量函数方法研究有理Bézier极小曲面问题的重要理论基础。

In the end, it is stated that the way of proving the four-color problem according to Kempe is not likely to be successful by analyzing the phenomenon of dynamic balance.

最后，通过剖析动态平衡现象，阐明用肯普的方法证明四色问题不可能成功。

You have come out in left field, no one expected you to be a good sales rep-resentative.

" "没有人料到你的业绩这么好，你用实力证明大家都看走眼了。

A control technique by which data fields can be machine-checked against each other to prove the accuracy of machine, merging, coding, balancing, reproducing, gang punching, record selection from magnetic drum, disk, and tape storage.

一种控制方法，用此法可用机器相互检验数据字段，以证明机器、并过程、码方法、衡技术、制过程、量穿孔过程、磁鼓、盘和磁带存储器中选用记录的过程等准确无误。

Discussions mainly on the solution and its simple applications of the equation of interest rate and amount of circulating fund are given. The discussions also involve the proof of tending to the equilibrium state of network of stock market based on the time discrete form of the equation by using Banach theorem of contraction mapping, and the influence of amount of circulating fund with exponential attenuation due to the decreasing of banking interest rate.

文中着重讨论利率_流通量方程的解及其简单应用，包括时间离散化时股市网络用Banach收缩映射定理证明最终趋向平衡状态，以及银行减息引起资金流动按指数型式衰减等。

Is a A very common method of problem solving even in universities in some courses, such as advanced algebra, mathematical analysis and are often used to prove some mathematical induction proposition.

即使在大学中的一些课程中，如高等代数，数学分析等也常常用到数学归纳法来证明一些命题。

Pisier\'s results,under tree martingale valued space X is isomorphic toan a-uniformly convex space (2≤a＜∞),some quasi-normal or normal inequalitiesof a-variation maximal operator and a-conditional variation maximal operator of X-valued predictable tree martingales are identified.

同时，用G.Pisier's结果在树鞅取值空间X同构于a一致凸Banach空间条件下，证明了几个X-值树鞅α-方极大算子和a-条件方极大算子的拟范数不等式与范数不等式。

Mr. McDuffie, however, complains that he has been ignored by her over the years and the only chance he has had to pose was when he dressed up in a sailor's uniform and locked lips with a pillow for 100 new photographs taken as part of the investigation by Mrs.

但是，麦克达菲抱怨说，多年来谢恩夫人却一直无视他。他惟一能证明自己是照片中主角的机会，是他穿上水兵制服、在一个枕头上印上100个吻，拍照后供吉布森女士调查之用。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。