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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。

For example: locally most powerful rank tests; regression and the analysis of variance using ranks; asymptotic power and efficiency; goodness of fit tests; permutation tests and randomization as a basis for inference.

局部最大功效秩检验（；利用秩进行回归和方差分析；渐进功效和效率，拟合优度检验，排列检验和作为推断基础的随机化。

Under the assumption that the channel state information was available only at the receiver,the capacity of MIMO systems in Rayleigh fading channel was investigated on the basis of information theory. Three special expressions for the MIMO capacity over ergodic flat fading channel were derived.An asymptotic formula for MIMO systems with equal number of transmit and receive antennas in small SNR was also given. Simulation results show that this approximation is relatively accurate.

以信息论的观点为基础，在假设信道状态信息仅收端已知的情况下，采用等功率发射方案，研究了瑞利衰落信道下MIMO系统各态历经信道容量，推导了三种特殊MIMO信道的各态历经信道容量表达式，以及在小信噪比下等收发天线MIMO系统的容量近似公式，并通过仿真进行了验证，仿真结果表明该近似公式比较精确。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对"中间点"的渐近性进行了研究，得出了一系列"中间点"的渐近性的结果，概括了有关文献对微分中值公式的"中间点"的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

Study of asymptotic stability is the basis of associative memory designs.

本文提出了联想记忆神经网络新的设计方法。

Chapter one and chapter two analyse the basis theory and give a whole design plan and expatiate the basic exoterica of system inculding primary technology for application. It involves the basic control theory of satellite antenna and analyse for the whole function. Chapter three gives the hardware design which includes hardware etlectrocircuit structure, principle chart, selecting all kinds of parts of the apparatus , the sensor elements and the design of serial communication electrocircuit etc. Chapter four and chapter five introduce software design for the SCM and the personal computer, giving mainly design theory and material program which includ the design of searching for the satellite and searching for the high-point and the program development by Delphi on PC, explaining the basic principium of asynchronous serial communication for epigyny computer and hypogyny computer.

第一、二两章阐述了系统的理论基础及应用的主要技术，包括卫星天线控制基础理论和整体功能分析等等；第三章是系统硬件设计，包括硬件电路组成及原理图、各类元器件的选取及传感器原理，串行通信电路设计等：第四、五两章是单片机、PC机软件设计，给出了主要部分的设计原理及具体程序，包括监控软件设计、寻优设计、寻星设计，PC端Delphi程序设计开发等，并阐述了PC机和单片机异步串行通信的基本原理，是本课题的重点所在。

On the basis of former scholars'research, I try to analyze the actions of civilian councilors in details, reflecting their true complexions at full length.

本文拟在前人研究的基础上，更为详细地分析阐述民选议员的活动，力图全面反映民选议员的真实面目。

On the basis of analysis of the related literature at home and abroad, the following contents are studied.

本文在研究分析国内外相关文献的基础上，主要进行了以下几方面的研究： 1。

We have an idea of justice, which is at once the basis of law and its goal.

我们拥有正义的观念，它同时作为法律的基础和目的。

If I don't feel fit enough to play I'll be the first person to ask the coach to leave me out of the game, we have to be mature and maturity is at the basis of this team.

如果我感觉不能充分的比赛的话，我将是第一个要求教练让我下场的队员，我们不得不充分考虑，完备是球队的基本要求。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。