作用积分

The classical Poincaré s inequality plays a very important role in stability theory as well as in some other areas. It is widely used in academic research. For instance, the Poincarés integral inequality plays a pivotal role in the Arnolds non-linear stability theory.

在很多问题的研究中，经典的Poincaré不等式是一个非常重要的工具，用这个经典不等式作为研究问题的工具非常普遍，如Poincaré积分不等式在Arnold的非线性稳定性理论中起着关键性的作用。

Based on the three dimensional viscoelastic integral constitutive relation of a propellant grain with the finite element method, the analysis about the thermo-viscoelasticity of solid propulsive agent column is presented.

基于药柱的三维线性热粘弹性积分本构关系，采用有限元法，对固体火箭推进剂药柱进行热粘弹性有限元分析，得出药柱在轴向过载作用下的变形结果和药柱内危险部位的位置，表明药柱具有明显的粘弹性特点。

Applying the method of integral transform, the governing equation of viscoelastic shallow spherical shell under actions of uniform pressure in the space of Laplace is established.

利用积分变换方法建立了粘弹性材料扁球壳在均布荷载作用下的Laplace相空间中的屈曲控制方程。

The Green functions of the vertical and horizontal force applied at interior of the saturated half space are established in the paper by using integral transform method.

应用积分变换方法得出了半空间饱和土内部作用垂直和水平载荷时的格林函数，为结构和饱和土动力相互作用的研究提供了工具。

Nabla operators applied on the scalar Green's function are applied on electric and magnetic fields using integration by parts.

利用分部积分将作用在标量Green函数上的Nabla算子转移到电磁场强上。

Finally, a basic lemma was given to reveal the relation between the solution set of a centain integral equations and the generalized cyclic invariant subspace. This lemma will play an important role in the determination of controllability.

然后以一个基本引理的形式揭式某一积分方程的解集与广义循环不变子空间之间的联系，这个引理将在能控性的判定中起关键作用。

Based upon the general equations of a trans-versely isotropic foundation, the stress functions and the theory of Fourier transforms , the basie displacement so-lutions for a transversely isotropic body under horizontal concentrated loads are obtained.

根据横观各向同性体的基本方程，运用应力函数、傅氏变换和傅氏逆变换理论，得出了横观各向同性地基在水平集中荷载作用下的基本位移解，然后利用积分的方法分别得出了横观各向同性地基在条形面积上水平均布荷载、水平三角形分布荷载及水平梯形分布荷载的位移计算公式，并利用实测的一组弹性参数，将横观各向同性地基中的相对位移与现有的计算理论给出的各向同性地基中的相对位移通过图形作了分析比较，得出了一些有益的结论，以供岩土工程设计人员参考。

These structural characteristics play an important rolesin the theory of fuzzy measure and integral.

特别地，它们在模糊积分序列的收敛性的证明中起到了关键性的作用。

However,To prove Inequality with elementary method,we often create complex computational process. The second ,we will take full advantage of the knowledge of calculus Inquiry Testimony of inequality,and concluded the higher mathematics to prove Inequality several main method and its application conditions.Constructors in the context of the use of the monotone function,Calculus value theorem,function and the most extreme value,integral, it can be a very effective solution to the inequality problem proof. At last,we summed up several convenient and simple way to prove Inequality.It will be play a great role in our problem Solving.

但是用初等方法证明往往会造成复杂的运算过程，本文接着充分利用微积分的知识探究不等式的证明方法，并指出微分学和积分学在不等式的证明的具体应用，那就是在构造函数的背景下运用函数的单调性、微积分中值定理、函数的极值和最值、定积分，那么就可以十分有效地解决不等式中的证明问题，从而归纳出几种方便而又简捷的方法，这样对我们解题将会起到很大的作用。

In the last a few years, the differential solution of wave equation was hold up by the condition of computation. Kirchhoff integral method rose in the initial stages of the ninetieth decade of last century.

前几年波动方程微分解由于受计算条件的限制而难于在地震资料处理过程中发挥作用，上世纪90年代初发展起来的克希霍夫积分方法，因本身存在的缺陷也难于在深层地震资料处理中取得新的突破。

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。。。。