最下的

"The entablature is usually divided into three main sections: the lowest band, or architrave, which originally took the form of a beam running from support to support; the central band, or frieze, consisting of an unmolded strip with or without ornament;"

古典柱式的檐部常分为三个主要组成部分︰最下的额枋，原为横跨在两个支承体上的过梁；中间的檐壁，为无线脚的平面，有时有装饰

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utility function are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utilityfunction are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

Considering linear and O-linear predictable variables, the author investigates optimal prediction problems by the trace of matrix. A few necessary conditions are derived and accordingly optimal linear and optimal O-linear unbiased predictors, which are unique with probabitity one, are obtained respectively by the author.

对于一类线性可预测变量和Φ-线性可预测变量，作者在矩阵迹意义下研究了一般增长曲线模型中最优预测问题，找到了其存在最优预测的几个必要条件，并在给定的条件下分别得到了最优线性无偏预测和最优Φ-线性无偏预测，而且还证明了它们在几乎处处意义下的唯一性。

The results showed that during the 45 days experimental time the fresh weigh of Myriophyllum spicatum L, Hydrilla verticillata L and Cerato-phyllum demersum L were 0.92 g, 0.27 g, 1.11 g and 0.56 g, 0.41 g, 0.87 g in medium nutritional condition TN 1.86 mgL^(-1; TP0.087 mgL^(-1) and eutrophic condition TN 2.47 mgL^(-1; TP0.16 mgL^(-1), respectively. The largest single plant biomass of Myrio-phyllum spicatum L and Ceratophyllum demersum L in in middle nutritional condition were over 39% and 22% higher than those in eutrophicated condition, but that of Hydrilla verticillata L was less than 51%, which shown that Myriophyllum spicatum L and Ceratophyllum demersum L grow better than Hydrilla verticillata L in middle nutritional condition.

研究结果表明，在45 d的培养过程中，狐尾藻、轮叶黑藻和金鱼藻在中营养TN1.86 mgL^(-1； TP0.087 mgL^(-1)和富营养TN2.47 mgL^(-1； TP0.16 mgL^(-1)水平下的单株最大生物量分别是0.92、0.27、1.11、0.56、0.41和0.87 g，狐尾藻和金鱼藻在中营养水平下单株最大生物量分别较富营养水平下高出39%和22%，而黑藻在中营养水平下单株最大生物量较富营养水平下低了51%，表明狐尾藻和金鱼藻在中营养水平下的生长较黑藻好。

Based on the energy budget equation, the optimum feeding rate for gibel carp was C〓=G〓+F〓+U〓+R〓(G〓, maximum growth energy, KJ/d; F〓, fecal energy at the optimum feeding rate, KJ/d; U〓, excretion energy at the optimum feeding rate, KJ/d; R〓, metabolism energy at the optimum feeding rate), and F〓=0.077C〓, U〓=0.052C〓 and R〓=k〓 and k is adjusted coefficient.

根据能量收支方程，异育银鲫的最适摄食率可表述为：C〓=G〓+F〓+U〓+R〓（G〓：最大摄食率条件下的生长能，KJ/d；F〓：最适摄食率条件下的排粪能，KJ/d；U〓：最适摄食率条件下的排泄能，KJ/d；R〓：最适摄食率条件下的代谢能，KJ/d），其中F〓=0.077C〓，U〓=0.052C〓，R〓=k*，k为校正系数。

And the direction query efficiency based on multi-approximate index is compared with that based on taditional external approximation index. 2 The algorithms of nearest neighbor and reverse nearest neighbor about point, line and ploygen based on multi-approximate index are proposed after the virous methods of distance measure are discussed in detail. And the query efficiency of NN and RNN based on multi-approximate index is compared with that based on taditional external approximation index. 3 The basic concept of semi-join and the strategy of distance-direction semi-join are introduced. And the model of distance relationship, direction relationship and the bounding for spatial object are discussed. Then the method is presented about how to implement the query of distance-direction semi-join, and the efficiency of the algorithm based on multi-approximate index is compared with that based on taditional external approximation index.

即：1在方向关系矩阵模型、开域方向模型基础上，讨论了基于多重近似索引下的定性与定量方向检索方法，并通过实验对基于多重近似索引与外部近似索引下的方向检索效率进行了对比分析；2详细讨论了各种距离度量方法，提出了基于多重近似索引下的点、线、面的最邻近查询和反最邻近查询算法，并通过实验对基于多重近似索引与外部近似索引下的最邻近查询和反最邻近查询效率进行比较分析；3介绍了半连接的基本概念，探讨了距离关系、方向关系以及空间对象数量的约束模型，给出了基于多重近似索引下的距离方向半连接实现方法，并通过实验对基于多重近似索引与外部近似索引下的距离方向半连接的效率进行了比较分析。

Liberia's besieged leader Charles Taylor flew into exile in Nigeria as hundreds of Liberians, thin and ragged, prayed his departure would mark a turning point for their war-torn country." turning point "的意思是转折点(a point in time at which a very important change takes place).

利比里亚前总统泰勒8月11日正式乘飞机离开自己饱经战乱蹂躏的祖国，军阀出身的泰勒属于联合国法庭认定的&战犯&之一，他在国际社会压力日增和国内叛军控制了绝大多数领土的情况下被迫&下野&，并且将权力移交给自己最信任的副总统。

The procedure is applied in two projects:(1) Shanghai Huanqiu finance center tower foundation pit dewatering, the complicated flow state of groundwater is simulated under these conditions which the aquifers deposite layer by layer, the bottom of the aquifers goes deep to 149m, the horizontal flow barrier goes deep to 34m, the extraction wells are penetrated to 55m, the filters of the extraction wells are located between 34m to 55m, and the water level in the deep foundation pit is decreased to 26m under land surface, the result of 8 pumping wells optimization project is designed.(2) The forth subway of Dong Jia-du tunnel repair foundation pit dewatering in Shanghai, the complicated flow state of groundwater is simulated under these conditions which the aquifers deposite layer by layer, the bottom of the aquifers goes deep to 144.45m, the horizontal flow barrier goes deep to 65m, the extraction wells are penetrated to 60m, the filters of the extraction wells are located between 45m to 60m, and the water level in the deep foundation pit is decreased to 42.45m under land surface, then an optimization project is designed.

最后将成果分别应用于两个工程实例中：(1)上海环球金融中心塔楼基坑降水，模拟了在多层含水层复合存在、含水层最深底板埋深达149m、基坑周围挡水连续墙埋深达34m、抽水井埋深达55m、抽水井过滤器埋深为34至55m，基坑内地下水位降至埋深达26m的情况下的地下水复杂流动状态，得出了8口抽水井优化降水方案；(2)上海地铁4号线董家渡隧道修复基坑降水，模拟了在多层含水层复合存在、含水层最深底板埋深达144.45m、基坑周围挡水连续墙埋深达65m、抽水井埋深达60m、抽水井过滤器埋深为45至60m，基坑内地下水位降至埋深达42.45m的情况下的地下水复杂流动状态，确定出了最优降水方案。

We will see more and more activist government policies that distinguish economic activities according to the nationality of the actors.

我们将看到越来越多激进的政府政策，这些政策根据企业的国籍来区分经济活动。

If we can prove the independence of an axiomatic system, then we can guarantee the conciseness of this system, ie.

如果能够证明某个一阶谓词系统的独立性，那么就能够保证该系统的建立是精炼的，即没有任何一条公理或推理规则是多余的。