积分的

Property 2 (Term-by-Term Integration) Suppose that is the sum of a power series on interval ;that is,Then, if is interior to ,and the radius of convergence of the integrated series is the same as for the orginal series.

性质 2 幂级数的和函数在其收敛域上可积，并有逐项积分公式，，逐项积分后所得到的幂级数和原级数有相同的收敛半径。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

A new concept of convex set and its some characteristic properties This paper give a new definition, the support direction of a boundary point of convex set.

2复杂网格的Buffon概率在积分几何中，运动公式是一些定义在定区域与动区域交集上的几何函数的积分公式。

Under the higher-dimensional situation, it introduces mainly the multiple integrals formulas on some standard areas, the multiple integrals formula by the methods of sampling, the reduction of dimensions and the boundary type cubature with a certain algebraic precision, and calculate multiple integrals with the methods of number theoretical net and so on.

在高维情形下，主要介绍了一些标准区域上的多重积分公式，用抽样法来求多重积分，具有代数精度的降维展开式和边界型求积公式，以及用数论网格的方法来计算高维积分等。

In this thesis, the major study is the design of a switched-current Analog-to-Digital Converter. Both the delta-sigma modulator and the decimator will be discussed separately.

中文摘要本论文主要是在研究切换电流式三角积分类比数位转换器的设计，可将其分为类比的三角积分调变器以及数位的降频数位滤波器两部分个别讨论。

This paper summarizes extraordinary effects of the symmetry on computing definite integral calculus, which make complicated calculation simplified.

归纳总结了对称性在计算定积分中的妙用，使一些较复杂的计算变得简单，并对对称性不明确的怎样通过构造对称性化简积分问题作了研究。

According to Orowan's investigation results, the amount of plastic work Γ is three orders larger than that of surface energy. However, the yielding of metal material is only associated with the deviator strain energy.

由于引起金属材料屈服的原因仅为偏斜应变能，而与体积应变能无关，本文提出了一个与路径无关的守恒积分，即偏斜应变能积分，并对其守恒性进行了严格的证明。

Firstly, we investigate the Dirichlet problems comparison principle on a bounded subset for this fully nonlinear intergro-differential equation, at the same time we must assume the measure in the intergro-differential item is absolute continuous.

首先研究这类完全非线性积分微分方程在有界区域上Dirichlet问题的比较原理，此时须假设积分项所涉及的测度是绝对连续的。

The beamforming is an important measure of the orientation estimation in theunderwater sound positioning. The Generalized Correlation Beamformer isstudied and the algorithms of FIM and WFIM(WeightedFourier Integral Method) are given. In most circumstances, the performance of these two algorithms is better than Delay-Sum Beamformer. The MVDR(MinimumVariance Distortionless Response) adaptive beamformers are investigated in element andbeam domain. The research results show that the beam-domain MVDR algorithm notonly increases the resolution, but also saves computer when using it to aim orientationestimation.

4水下声定位中波束形成技术是方位估计的重要手段，重点研究了广义相关波束形成算法傅氏积分方法(FIM和加权傅氏积分方法，大多情况下FIM、WFIM算法的性能优于时延—求和波束形成；研究了阵元域和波束域MVDR自适应波束形成，结果表明，利用波束域MVDR进行目标方位估计，既可以获得高精度的方位估计，又可以大大减少计算量。

The deflection pulse response function in the general Duhamel integration is got by using integral transform and the program of corresponding numerical inverse integral is worked out.

采用积分变换的方法，求得了广义Duhamel积分式中的弯沉脉冲响应函数，并编制了相应的数值积分逆变换程序。

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。