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Mechanical reason of borehole collapse in brittle shale is researched. With the elastic theory, the formula for calculating the maximum and minimum drilling fluid density that would cause the initial shear fracture in vertical and inclined borehole is derived and the influence of formation non-linear deformation property is taken into account. The solution of the formula is given by iteration method.

研究了硬脆性泥页岩井壁坍塌的力学机理，利用弹性力学理论推导出了直井、斜井井壁产生初始剪切破坏而造成井壁坍塌的泥浆密度上、下限的理论计算公式，并对地层非线性变形性质对井壁应力的影响进行了修正，编制了迭代法数值求解软件。

The assumption of the variable tendency of slip-line in active zone is made based on the numerical results. Combining the slip-line equations and boundaries, the formula of bearing capacity is deduced which can consider the density of soil. The formula of bearing capacity of strip footing on ponderable soil is also deduced assuming that the slip-line field of ponderable soil is the same with that of weightless soil, which is proved to be an upper-limit solution, as its the same with that deduced by the upper-limit method in Prandtl mechanism.

在数值计算结果的基础上，对有重土地基主动区滑移线变化趋势进行了合理假设，根据边界条件和特征线方程求得了条形基础极限承载力的解析表达式，该表达式可以计算考虑土重度的条形基础的极限承载力；获得了不考虑重度对滑移线场影响时(即有重土在普朗特尔滑移线场下)极限承载力的解析表达式，该表达式与普朗特尔机动场对应的极限承载力上限解的表达式相同，这就从理论上证明了在土重度对滑移线场没有影响这一假定前提下得到的极限承载力是一个上限；(3)利用上限定理求解了极限承载力的最小上限。

Firstly, this thesis puts forward the theoretical formula of the Volume method to compute the flood submerging range; secondly, the discrete method is used to solve the numerical solution of this formula; finally, the model based on Volume method is achieved.

首先，本文提出了用"体积法"计算洪水淹没范围的理论公式，然后，通过离散的方法给出了该公式的数值解，从而最终推导得出了用"体积法"计算的数学模型。

The formula of nutrient solution for general purpose: It means that this formula is suitable not only for one plant, but also for the similar plants.

通用营养液配方：不仅适用于某一种作物，而且适用于与这种作物相类似的另外一些作物。

Solution: in each employees payroll "tax column" formula, the pre-accession "rounding" function, namely: the wage tax = ROUND (formula for calculating taxes, 2), to retain two decimal calculations.

解决办法：在工资表的每个职工&税金栏目&计算公式里，事先加入&四舍五入&函数，即：工资税金=ROUND(税金计算公式，2)，计算结果保留两位小数。

On the base of Lord Kelvin point-source solution, the integral of Bessel function, Poisson superimpose formula and boundary element method, we resolve it and obtain the boundary element basic solution.

受求解方法局限性的限制，目前经典渗流力学理论还无法精确求解复杂外边界油藏中生产井层部分射孔问题。

In 3D scalar Helmholtz equation computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by The GMT.

首次从理论上证明，在三维静电场分析中，存在一种无穷级数收敛，且有一定普遍性的解析解；推导出三维静电场分析的多极理论通解及其使用规则，证明或解释广义多极技术不能证明或解释的若干使用规则，用多极理论求解工程实际中的三维静电场边值问题。

In 2D eddy current field computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by the GMT, and solves several real engineering examples of 2D eddy current field boundary-value problems by the MT.

本文从电磁理论和有关数学定理出发，通过引入内极、外极、内交角的概念，建立一种新的电磁场计算体系——电磁场分析中的多极理论；从理论上证明，在电磁场分析中存在一种无穷级数收敛，且有一定普遍性的解析解。

The molecular structural formula of the rhodamine 6G hydrazide salicylal azomethine is shown on the right, and the present invention discloses the synthesization method of the rhodamine 6G hydrazide salicylal azomethine and rhodamine 6G hydrazide salicylal azomethine solution used for the content determination of a small amount of cupric ions in water sample: 0 percent to 98.99 percent of ethanol, 99.99 percent to 1 percent of acetic acid / sodium acetate buffer solution with the pH value of 5 to 9, in which the total concentration of acetic acid is 1 to 100 millimoles per litre, 0.01 percent of N, N-dimethylformamide and 1ppm to 100ppm of rhodamine 6G hydrazide salicylal azomethine, all measured in mass percentage.

罗丹明6G酰肼水杨醛希弗碱，分子结构式如右，本发明公开了罗丹明6G酰肼水杨醛希弗碱的合成方法及其用于水样中微量铜离子含量测定的溶液：0～98.99％乙醇，99.99～1％pH值5～9的醋酸/醋酸钠缓冲溶液，该缓冲溶液中醋酸总浓度为每升1～100毫摩尔，0.01％N，N-二甲基甲酰胺和1～100ppm罗丹明6G酰肼水杨醛希弗碱，均为质量百分含量。

This is the learning algorithm "Adams steps with four bands interpolation formula correction" of their times calculated for the numerical solution of differential equations procedures, they can modify the equation for the solution and the other equation, Hi!

这个算法是在学习"用Adams三步四阶内插公式校正"时自己遍的计算这个微分方程数值解的程序，可以修改里面的方程而用于求解其他的方程，请指正！

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。