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Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

Another problem that mathematicians tackled from about 1880 on is essentially the converse of finding asymptotic series .

大概从1880年开始，数学家们研究的另一个问题本质上是求渐近级数的反问题。

In Chapter 1, two solutions to the elliptical boundary value problem have been constructed through a monotone iterative process, and they might be identical. In Chapter 2, the author expresses the local solution to the parabolic initial boundary value problem taking advantage of Green function. In Chapter 3, the asymptotic solution to the initial value problem of Duffing equation is obtained and the method for finding the approximate solution to the inverse problem is put forward.This paper is planned with a view to the author's research means.

从研究结果看：第一章通过单调迭代过程构造出椭圆型方程的边值问题的两个解，并且指出二者可能是同一个解；第二章利用格林函数给出了抛物型方程的初边值问题的局部解的解析表达式；第三章中，先对Duffing方程的初值问题写出解的渐近展开式，再对其反问题提出一种求近似解的方法。

If you can not speak English well, you will be at a disadvantage when you are finding jobs.

如果你的英语说得不好，那么在找工作时你就会处于很不利的地位。

If your English is not good, you will be at a disadvantage when finding a job.

如果你的英语不好，那么在找工作时你就会处于很不利的地位。

It is at a disadvantage when you are finding a job if your English is not very well.

如果你的英语说不好，那么在找工作时你就会处于很不利的地位。

Finding a focal point in the room is the first task at hand.

发现房间的焦点是当前的首要任务。

And I'm finding my self suffering from mental paralysis even at the best of times.

和我找到我的自我患有精神麻痹甚至在最好的时候。

This finding is at variance with the results obtained by Kapp and Smith in their invitro studies.

这一发现与Kapp和Smith的体外研究结果不同。

We have television ads that give us an 'atta boy' for knowing how many prescriptions we take and finding out that little pink pill has a name.

我们的电视广告，给我们一个'阿塔男孩'的认识有多少，我们采取的处方，并找出粉红色的小药丸有一个名字。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷