散

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.

摘 要：泰勒公式在微分学中占有非常重要地地位，尤其在处理1些具体的茄题中有10分重要的应用，比如证明不等式，判断广义积分的敛散性，求函数的极限，求函数的高阶导数，判定某些复杂级数的敛散性，求解某些微分方程，以及近似计算等中的应用，因此本文将对这七个方面做深入的研究。关键词：泰勒公式；不等式；广义积分；极限；高阶导数；复杂级数；微分方程

And those who went before and those who followed were shouting, Hosanna!

前行後随的人都喊著说：和散那（和散那：原有求救的意思，在此乃是称颂的话）！

This article compared the integrand of infinite integral and unbounded function integral by comparing the infinitesimal with the infinity, obtained the corresponding equivalence theorem of criterion of convergence of abnormal integral, and gave out the proof.

将无穷积分及无界函数积分的被积函数运用无穷小和无穷大比较的方法进行比较，得到了相应的反常积分敛散性极限审敛法的等价定理，并给予证明，从而可运用等价定理灵活的判断反常积分的敛散性。

Moreover,we also gave the proofs of generalization formula of integration by parts,the Green s formula of first type and the Green s formula of second type by using the divergence theorem .

首先指出数学分析中反映二重积分和第二类平面线积分联系的Green公式可以看成是散度定理的一种特殊情形，然后利用散度定理给出广义分部积分公式、第一Green公式和第二Green公式的证明

It is proved that the two-dimensional non-hydrostatic Boussinesq equations on the x ? z plane with the kinetic viscous term and the thermal dissipative term are unstable equations in the C 2 function class.2. If we replace the influence of the kinetic viscous term by Rayleigh friction and the thermal dissipative term by Newton cooling, the new generalized equations are stable equations in the C 1 function class. The construction of the solution space and the discriminating method for well-posedness of the problem of determining solution are given.

本文的主要结果如下：1证明了在y方向上均匀的带有运动粘性项以及热耗散项的两维非静力、Boussinesq近似的x-z面上两维旋转流体的控制方程组在C 2函数类中是一个不稳定的方程组。2如果以瑞利摩擦来代替粘性的影响，以牛顿冷却来代替热量的耗散，则所获得的一个新的方程组在C 1函数类中是一个稳定的方程组，给出了其解空间的构造和各种定解问题的适定性的判别方法。

The results suggest that the squall line occurred under the favorable weather conditions.

结果表明：飑线是在有利的天气形势下发生的，飑线上强风暴的强度大、高度高；飑线速度剖面图中显示有低层辐散、中层辐合、高层辐散的特征；垂直累积液态水含量迅猛增加到比较大的数值对冰雹预报有很好的指示意义；在冰雹指数产品中以强冰雹概率大于30%作为冰雹预警门限则有较好的效果；边界层辐合线起到了触发对流和加强对流的作用。

Both theoretical analysis and experimental results indicate that the linear dependence of the reciprocal of the time-correlation length on the velocity of the moving diffuser is still held in this case.

理论分析和实验测量结果均表明，这种动态散斑的空-时相关函数与一次散射形成的动态散斑相比，对散射体的运动十分敏感，但其时间相关长度与速度的倒数仍然保持线性关系。

Loose tea: Pu'er tea is still to maintain the original shape of the fragmented, has not been pressed into a particular shape, known as loose tea.

散茶： 普洱茶仍旧保持茶叶原本的零散的叶形，没有被紧压成特殊的形状，称为散茶。

In this paper, the evapotranspiration of spring wheat in Horqin sandy cropland was estimated and measured continuously by Bowen ratio energy balance approach and Lysimeter,and the relationship between the changes of the soil water content caused by irrigation and rainfall and evapotranspiration of spring wheat was analyzed.

运用波文比—能量平衡法和大型蒸渗仪对沙地春小麦的蒸散量进行了连续的测定和估算，并对由于降雨和灌溉所引起的土壤有效水分变化与沙地春小麦蒸散量之间的相关关系进行了初步探讨。

In this paper, the induction heating using double stove of 45 steel before forging has been analyzed considering the workpiece movement and the volatilization of magnetic force line in the end in this simulation.

新闻摘要：感应加热时，工件在线圈中的填充情况和温度变化会对线圈磁场产生影响。线圈端部的磁力线逸散，使工件在未进入线圈时加热已经开始，因此，在感应加热模拟的时候，考虑工件运动和磁力线逸散是十分必要的。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。